22.770 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.038 * * * [progress]: [2/2] Setting up program.
0.043 * [progress]: [Phase 2 of 3] Improving.
0.043 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.044 * * [simplify]: Extracting # 0 : cost  0
0.044 * * [simplify]: Extracting # 1 : cost  0
0.044 * * [simplify]: Extracting # 2 : cost  0
0.044 * * [simplify]: Extracting # 3 : cost  0
0.044 * * [simplify]: Extracting # 4 : cost  0
0.044 * * [simplify]: Extracting # 5 : cost  0
0.044 * * [simplify]: Extracting # 6 : cost  0
0.044 * * [simplify]: Extracting # 7 : cost  0
0.044 * * [simplify]: Extracting # 8 : cost  0
0.044 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.048 * * [simplify]: Extracting # 0 : cost  0
0.048 * * [simplify]: Extracting # 1 : cost  0
0.048 * * [simplify]: Extracting # 2 : cost  0
0.048 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.055 * * [simplify]: Extracting # 0 : cost  0
0.055 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.062 * * [simplify]: Extracting # 0 : cost  0
0.062 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.062 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.062 * * [progress]: iteration 1 / 4
0.062 * * * [progress]: picking best candidate
0.067 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.067 * * * [progress]: localizing error
0.089 * * * [progress]: generating rewritten candidates
0.089 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.115 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.156 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.181 * * * [progress]: generating series expansions
0.181 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.181 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.181 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.182 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.182 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.182 * [taylor]: Taking taylor expansion of re in im
0.182 * [backup-simplify]: Simplify re into re
0.182 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.182 * [taylor]: Taking taylor expansion of im in im
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 1 into 1
0.182 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.182 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.182 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.182 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.183 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.183 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.183 * [taylor]: Taking taylor expansion of re in re
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify 1 into 1
0.183 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.183 * [taylor]: Taking taylor expansion of im in re
0.183 * [backup-simplify]: Simplify im into im
0.183 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.183 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.183 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.183 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.184 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.184 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.184 * [taylor]: Taking taylor expansion of re in re
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.184 * [taylor]: Taking taylor expansion of im in re
0.184 * [backup-simplify]: Simplify im into im
0.184 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.184 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.184 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.184 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.185 * [taylor]: Taking taylor expansion of im in im
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [taylor]: Taking taylor expansion of 0 in im
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (* 1 1) into 1
0.186 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.187 * [backup-simplify]: Simplify (+ 1 0) into 1
0.188 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.188 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.188 * [taylor]: Taking taylor expansion of 1/2 in im
0.188 * [backup-simplify]: Simplify 1/2 into 1/2
0.188 * [taylor]: Taking taylor expansion of im in im
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.191 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.191 * [taylor]: Taking taylor expansion of 0 in im
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.193 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.193 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.193 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.193 * [taylor]: Taking taylor expansion of im in im
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.199 * [backup-simplify]: Simplify (/ 1 1) into 1
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.199 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.199 * [taylor]: Taking taylor expansion of re in im
0.199 * [backup-simplify]: Simplify re into re
0.199 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.200 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.200 * [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
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.203 * [taylor]: Taking taylor expansion of im in re
0.203 * [backup-simplify]: Simplify im into im
0.203 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.204 * [taylor]: Taking taylor expansion of re in re
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (* 1 1) into 1
0.204 * [backup-simplify]: Simplify (/ 1 1) into 1
0.205 * [backup-simplify]: Simplify (+ 0 1) into 1
0.205 * [backup-simplify]: Simplify (sqrt 1) into 1
0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (+ 0 0) into 0
0.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.208 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.208 * [taylor]: Taking taylor expansion of im in re
0.208 * [backup-simplify]: Simplify im into im
0.208 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.208 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.208 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.208 * [taylor]: Taking taylor expansion of re in re
0.208 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (* 1 1) into 1
0.209 * [backup-simplify]: Simplify (/ 1 1) into 1
0.210 * [backup-simplify]: Simplify (+ 0 1) into 1
0.210 * [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
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.213 * [taylor]: Taking taylor expansion of 1 in im
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [taylor]: Taking taylor expansion of 0 in im
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.216 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.216 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.216 * [taylor]: Taking taylor expansion of 1/2 in im
0.216 * [backup-simplify]: Simplify 1/2 into 1/2
0.216 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.217 * [taylor]: Taking taylor expansion of im in im
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 (+ (* im 0) (* 0 im)) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.223 * [taylor]: Taking taylor expansion of 0 in im
0.223 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.225 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.225 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.226 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.226 * [taylor]: Taking taylor expansion of im in im
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [backup-simplify]: Simplify (* 1 1) into 1
0.226 * [backup-simplify]: Simplify (/ 1 1) into 1
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.227 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.227 * [taylor]: Taking taylor expansion of re in im
0.227 * [backup-simplify]: Simplify re into re
0.227 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.227 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.227 * [backup-simplify]: Simplify (+ 1 0) into 1
0.228 * [backup-simplify]: Simplify (sqrt 1) into 1
0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.230 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.231 * [taylor]: Taking taylor expansion of im in re
0.231 * [backup-simplify]: Simplify im into im
0.231 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.231 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.231 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.231 * [taylor]: Taking taylor expansion of re in re
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (* 1 1) into 1
0.232 * [backup-simplify]: Simplify (/ 1 1) into 1
0.232 * [backup-simplify]: Simplify (+ 0 1) into 1
0.233 * [backup-simplify]: Simplify (sqrt 1) into 1
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.236 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.236 * [taylor]: Taking taylor expansion of im in re
0.236 * [backup-simplify]: Simplify im into im
0.236 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.236 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.236 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.236 * [taylor]: Taking taylor expansion of re in re
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (* 1 1) into 1
0.237 * [backup-simplify]: Simplify (/ 1 1) into 1
0.237 * [backup-simplify]: Simplify (+ 0 1) into 1
0.238 * [backup-simplify]: Simplify (sqrt 1) into 1
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.240 * [taylor]: Taking taylor expansion of 1 in im
0.240 * [backup-simplify]: Simplify 1 into 1
0.241 * [taylor]: Taking taylor expansion of 0 in im
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.244 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.244 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.244 * [taylor]: Taking taylor expansion of 1/2 in im
0.244 * [backup-simplify]: Simplify 1/2 into 1/2
0.244 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.244 * [taylor]: Taking taylor expansion of im in im
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (* 1 1) into 1
0.245 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.248 * [taylor]: Taking taylor expansion of 0 in im
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.249 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.249 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.249 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.249 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.249 * [taylor]: Taking taylor expansion of re in im
0.249 * [backup-simplify]: Simplify re into re
0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.249 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.249 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.249 * [taylor]: Taking taylor expansion of re in im
0.249 * [backup-simplify]: Simplify re into re
0.249 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.249 * [taylor]: Taking taylor expansion of im in im
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.249 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.250 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.250 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.250 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.250 * [taylor]: Taking taylor expansion of re in re
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.250 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.250 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.250 * [taylor]: Taking taylor expansion of re in re
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [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
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.251 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.251 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.251 * [taylor]: Taking taylor expansion of im in re
0.251 * [backup-simplify]: Simplify im into im
0.251 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.251 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.251 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.252 * [backup-simplify]: Simplify (+ 0 im) into im
0.252 * [taylor]: Taking taylor expansion of im in im
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify (+ 1 0) into 1
0.252 * [taylor]: Taking taylor expansion of 1 in im
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.253 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.253 * [backup-simplify]: Simplify (+ 1 0) into 1
0.253 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.253 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.253 * [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
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [taylor]: Taking taylor expansion of 0 in im
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.258 * [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)))))
0.258 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.258 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.258 * [taylor]: Taking taylor expansion of re in im
0.258 * [backup-simplify]: Simplify re into re
0.258 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.258 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.258 * [taylor]: Taking taylor expansion of im in im
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (* 1 1) into 1
0.258 * [backup-simplify]: Simplify (/ 1 1) into 1
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.259 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.259 * [taylor]: Taking taylor expansion of re in im
0.259 * [backup-simplify]: Simplify re into re
0.259 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.259 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.259 * [backup-simplify]: Simplify (+ 1 0) into 1
0.259 * [backup-simplify]: Simplify (sqrt 1) into 1
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.261 * [taylor]: Taking taylor expansion of re in re
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (/ 1 1) into 1
0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.261 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.261 * [taylor]: Taking taylor expansion of im in re
0.261 * [backup-simplify]: Simplify im into im
0.261 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.261 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.261 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.261 * [taylor]: Taking taylor expansion of re in re
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [backup-simplify]: Simplify (+ 0 1) into 1
0.262 * [backup-simplify]: Simplify (sqrt 1) into 1
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.264 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.264 * [taylor]: Taking taylor expansion of re in re
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (/ 1 1) into 1
0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.264 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.264 * [taylor]: Taking taylor expansion of im in re
0.264 * [backup-simplify]: Simplify im into im
0.264 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.264 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.265 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.265 * [taylor]: Taking taylor expansion of re in re
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (* 1 1) into 1
0.265 * [backup-simplify]: Simplify (/ 1 1) into 1
0.265 * [backup-simplify]: Simplify (+ 0 1) into 1
0.266 * [backup-simplify]: Simplify (sqrt 1) into 1
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.267 * [backup-simplify]: Simplify (+ 1 1) into 2
0.267 * [taylor]: Taking taylor expansion of 2 in im
0.267 * [backup-simplify]: Simplify 2 into 2
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [taylor]: Taking taylor expansion of 0 in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 2 into 2
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.271 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.271 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.271 * [taylor]: Taking taylor expansion of 1/2 in im
0.271 * [backup-simplify]: Simplify 1/2 into 1/2
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.271 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.271 * [taylor]: Taking taylor expansion of im in im
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (* 1 1) into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [taylor]: Taking taylor expansion of 0 in im
0.275 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.279 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.279 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.279 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.279 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.279 * [taylor]: Taking taylor expansion of im in im
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* 1 1) into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.280 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.280 * [taylor]: Taking taylor expansion of re in im
0.280 * [backup-simplify]: Simplify re into re
0.280 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.280 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.281 * [backup-simplify]: Simplify (+ 1 0) into 1
0.281 * [backup-simplify]: Simplify (sqrt 1) into 1
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.284 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.284 * [taylor]: Taking taylor expansion of re in im
0.284 * [backup-simplify]: Simplify re into re
0.284 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.284 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.284 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.284 * [taylor]: Taking taylor expansion of im in re
0.284 * [backup-simplify]: Simplify im into im
0.284 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.285 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.285 * [taylor]: Taking taylor expansion of re in re
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (* 1 1) into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [backup-simplify]: Simplify (+ 0 1) into 1
0.286 * [backup-simplify]: Simplify (sqrt 1) into 1
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.288 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.288 * [taylor]: Taking taylor expansion of re in re
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (/ 1 1) into 1
0.289 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.289 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.289 * [taylor]: Taking taylor expansion of im in re
0.289 * [backup-simplify]: Simplify im into im
0.289 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.289 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.289 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.289 * [taylor]: Taking taylor expansion of re in re
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (* 1 1) into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [backup-simplify]: Simplify (+ 0 1) into 1
0.290 * [backup-simplify]: Simplify (sqrt 1) into 1
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.292 * [taylor]: Taking taylor expansion of re in re
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (/ 1 1) into 1
0.292 * [backup-simplify]: Simplify (- 1) into -1
0.292 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.292 * [taylor]: Taking taylor expansion of 0 in im
0.292 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (- 0) 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
0.293 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.295 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (- 0) into 0
0.296 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.296 * [taylor]: Taking taylor expansion of 1/2 in im
0.296 * [backup-simplify]: Simplify 1/2 into 1/2
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.296 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.296 * [taylor]: Taking taylor expansion of im in im
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [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 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (- 0) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.302 * [taylor]: Taking taylor expansion of 0 in im
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.304 * [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))))))
0.304 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.304 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.304 * [taylor]: Taking taylor expansion of 2.0 in im
0.304 * [backup-simplify]: Simplify 2.0 into 2.0
0.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.304 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.304 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.304 * [taylor]: Taking taylor expansion of re in im
0.304 * [backup-simplify]: Simplify re into re
0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.304 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.304 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.304 * [taylor]: Taking taylor expansion of re in im
0.305 * [backup-simplify]: Simplify re into re
0.305 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.305 * [taylor]: Taking taylor expansion of im in im
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.305 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.305 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.305 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.305 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.305 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.306 * [backup-simplify]: Simplify (+ 0 0) into 0
0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.306 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.306 * [taylor]: Taking taylor expansion of 2.0 in re
0.306 * [backup-simplify]: Simplify 2.0 into 2.0
0.306 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.306 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.306 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) 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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.307 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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
0.307 * [backup-simplify]: Simplify 1 into 1
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 (+ 0 (pow im 2)) into (pow im 2)
0.307 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.307 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.307 * [backup-simplify]: Simplify (+ 0 im) into im
0.307 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.308 * [backup-simplify]: Simplify (+ 1 0) into 1
0.308 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.308 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.308 * [taylor]: Taking taylor expansion of 2.0 in re
0.308 * [backup-simplify]: Simplify 2.0 into 2.0
0.308 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.309 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.309 * [taylor]: Taking taylor expansion of re in re
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.309 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.309 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.309 * [taylor]: Taking taylor expansion of re in re
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.309 * [taylor]: Taking taylor expansion of im in re
0.309 * [backup-simplify]: Simplify im into im
0.309 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.309 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.309 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.309 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.309 * [backup-simplify]: Simplify (+ 0 im) into im
0.309 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.310 * [backup-simplify]: Simplify (+ 1 0) into 1
0.310 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.310 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.310 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.310 * [taylor]: Taking taylor expansion of 2.0 in im
0.310 * [backup-simplify]: Simplify 2.0 into 2.0
0.310 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.311 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.311 * [taylor]: Taking taylor expansion of im in im
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (sqrt 0) into 0
0.312 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.312 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.313 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.313 * [taylor]: Taking taylor expansion of 1/2 in im
0.313 * [backup-simplify]: Simplify 1/2 into 1/2
0.313 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.313 * [taylor]: Taking taylor expansion of 2.0 in im
0.313 * [backup-simplify]: Simplify 2.0 into 2.0
0.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.316 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.316 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.316 * [taylor]: Taking taylor expansion of im in im
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.317 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [backup-simplify]: Simplify (sqrt 0) into 0
0.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.319 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.319 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.322 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.323 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.324 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.326 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.326 * [backup-simplify]: Simplify (* 1 1) into 1
0.327 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.327 * [backup-simplify]: Simplify (+ 1 0) into 1
0.328 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.328 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.329 * [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))))
0.330 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.331 * [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)))))
0.331 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.331 * [taylor]: Taking taylor expansion of 1/8 in im
0.331 * [backup-simplify]: Simplify 1/8 into 1/8
0.331 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.331 * [taylor]: Taking taylor expansion of 2.0 in im
0.331 * [backup-simplify]: Simplify 2.0 into 2.0
0.331 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.332 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.332 * [taylor]: Taking taylor expansion of im in im
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (* 1 1) into 1
0.333 * [backup-simplify]: Simplify (* 1 1) into 1
0.333 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [backup-simplify]: Simplify (sqrt 0) into 0
0.335 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.344 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.346 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.347 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.354 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.359 * [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)))))))
0.360 * [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)))))))
0.360 * [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
0.360 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.360 * [taylor]: Taking taylor expansion of 2.0 in im
0.360 * [backup-simplify]: Simplify 2.0 into 2.0
0.360 * [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 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.361 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.361 * [taylor]: Taking taylor expansion of re in im
0.361 * [backup-simplify]: Simplify re into re
0.361 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.361 * [taylor]: Taking taylor expansion of (pow im 2) 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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.362 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.362 * [taylor]: Taking taylor expansion of re in im
0.362 * [backup-simplify]: Simplify re into re
0.362 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.363 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.363 * [backup-simplify]: Simplify (+ 1 0) into 1
0.363 * [backup-simplify]: Simplify (sqrt 1) into 1
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 1) into 1
0.367 * [backup-simplify]: Simplify (sqrt 0) into 0
0.368 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.368 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.368 * [taylor]: Taking taylor expansion of 2.0 in re
0.368 * [backup-simplify]: Simplify 2.0 into 2.0
0.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.369 * [taylor]: Taking taylor expansion of re in re
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.370 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.370 * [taylor]: Taking taylor expansion of im in re
0.370 * [backup-simplify]: Simplify im into im
0.370 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.370 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.370 * [taylor]: Taking taylor expansion of re in re
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify (* 1 1) into 1
0.371 * [backup-simplify]: Simplify (/ 1 1) into 1
0.372 * [backup-simplify]: Simplify (+ 0 1) into 1
0.372 * [backup-simplify]: Simplify (sqrt 1) into 1
0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.375 * [backup-simplify]: Simplify (+ 1 1) into 2
0.375 * [backup-simplify]: Simplify (sqrt 0) into 0
0.376 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.376 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.376 * [taylor]: Taking taylor expansion of 2.0 in re
0.377 * [backup-simplify]: Simplify 2.0 into 2.0
0.377 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.378 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.378 * [taylor]: Taking taylor expansion of re in re
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (/ 1 1) into 1
0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.378 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.378 * [taylor]: Taking taylor expansion of im in re
0.378 * [backup-simplify]: Simplify im into im
0.379 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.379 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.379 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.379 * [taylor]: Taking taylor expansion of re in re
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (* 1 1) into 1
0.380 * [backup-simplify]: Simplify (/ 1 1) into 1
0.380 * [backup-simplify]: Simplify (+ 0 1) into 1
0.380 * [backup-simplify]: Simplify (sqrt 1) into 1
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.383 * [backup-simplify]: Simplify (+ 1 1) into 2
0.384 * [backup-simplify]: Simplify (sqrt 0) into 0
0.385 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.386 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.386 * [taylor]: Taking taylor expansion of 0 in im
0.386 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.388 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.388 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.388 * [taylor]: Taking taylor expansion of +nan.0 in im
0.388 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.388 * [taylor]: Taking taylor expansion of 2.0 in im
0.388 * [backup-simplify]: Simplify 2.0 into 2.0
0.389 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.389 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ 0 0) into 0
0.394 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.397 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.397 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.397 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.397 * [taylor]: Taking taylor expansion of +nan.0 in im
0.397 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.397 * [taylor]: Taking taylor expansion of 2.0 in im
0.397 * [backup-simplify]: Simplify 2.0 into 2.0
0.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.400 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.401 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.403 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.403 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.407 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.407 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.410 * [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))
0.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.412 * [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)))))
0.412 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.412 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.413 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.413 * [taylor]: Taking taylor expansion of +nan.0 in im
0.413 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.413 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.413 * [taylor]: Taking taylor expansion of 2.0 in im
0.413 * [backup-simplify]: Simplify 2.0 into 2.0
0.413 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.414 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.414 * [taylor]: Taking taylor expansion of im in im
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.414 * [backup-simplify]: Simplify (* 1 1) into 1
0.415 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.415 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.415 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.415 * [taylor]: Taking taylor expansion of +nan.0 in im
0.415 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.415 * [taylor]: Taking taylor expansion of 2.0 in im
0.416 * [backup-simplify]: Simplify 2.0 into 2.0
0.416 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.420 * [backup-simplify]: Simplify (+ 0 0) into 0
0.420 * [backup-simplify]: Simplify (- 0) into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.423 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.424 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.425 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.426 * [backup-simplify]: Simplify (- 0) into 0
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ 0 0) into 0
0.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.430 * [backup-simplify]: Simplify (+ 0 0) into 0
0.432 * [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)))
0.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.436 * [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)))))
0.436 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.436 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.436 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.436 * [taylor]: Taking taylor expansion of +nan.0 in im
0.436 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.436 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.436 * [taylor]: Taking taylor expansion of 2.0 in im
0.436 * [backup-simplify]: Simplify 2.0 into 2.0
0.436 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.437 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.437 * [taylor]: Taking taylor expansion of im in im
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 1 into 1
0.438 * [backup-simplify]: Simplify (* 1 1) into 1
0.438 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.438 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.439 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.439 * [taylor]: Taking taylor expansion of +nan.0 in im
0.439 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.439 * [taylor]: Taking taylor expansion of 2.0 in im
0.439 * [backup-simplify]: Simplify 2.0 into 2.0
0.439 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.442 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.443 * [backup-simplify]: Simplify (+ 0 0) into 0
0.443 * [backup-simplify]: Simplify (- 0) into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.447 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.448 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.450 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.452 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.455 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.456 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.467 * [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)))))))
0.468 * [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))))
0.468 * [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
0.468 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.468 * [taylor]: Taking taylor expansion of 2.0 in im
0.468 * [backup-simplify]: Simplify 2.0 into 2.0
0.468 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.469 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.469 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.469 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.469 * [taylor]: Taking taylor expansion of im in im
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (* 1 1) into 1
0.470 * [backup-simplify]: Simplify (/ 1 1) into 1
0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.470 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.470 * [taylor]: Taking taylor expansion of re in im
0.470 * [backup-simplify]: Simplify re into re
0.470 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.471 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.471 * [backup-simplify]: Simplify (+ 1 0) into 1
0.471 * [backup-simplify]: Simplify (sqrt 1) into 1
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.474 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.474 * [taylor]: Taking taylor expansion of re in im
0.474 * [backup-simplify]: Simplify re into re
0.474 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.475 * [backup-simplify]: Simplify (+ 1 0) into 1
0.475 * [backup-simplify]: Simplify (sqrt 0) into 0
0.477 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.477 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.477 * [taylor]: Taking taylor expansion of 2.0 in re
0.477 * [backup-simplify]: Simplify 2.0 into 2.0
0.477 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.478 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.478 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.478 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.478 * [taylor]: Taking taylor expansion of im in re
0.478 * [backup-simplify]: Simplify im into im
0.478 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.478 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.479 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.479 * [taylor]: Taking taylor expansion of re in re
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.479 * [backup-simplify]: Simplify (* 1 1) into 1
0.479 * [backup-simplify]: Simplify (/ 1 1) into 1
0.480 * [backup-simplify]: Simplify (+ 0 1) into 1
0.480 * [backup-simplify]: Simplify (sqrt 1) into 1
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ 0 0) into 0
0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.483 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.483 * [taylor]: Taking taylor expansion of re in re
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (/ 1 1) into 1
0.484 * [backup-simplify]: Simplify (- 1) into -1
0.484 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.486 * [backup-simplify]: Simplify (- 0) into 0
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.489 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify (- 0) into 0
0.491 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.491 * [backup-simplify]: Simplify (sqrt 0) into 0
0.492 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.492 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.492 * [taylor]: Taking taylor expansion of 2.0 in re
0.492 * [backup-simplify]: Simplify 2.0 into 2.0
0.493 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.494 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.494 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.494 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.494 * [taylor]: Taking taylor expansion of im in re
0.494 * [backup-simplify]: Simplify im into im
0.494 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.494 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.494 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.494 * [taylor]: Taking taylor expansion of re in re
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 1 into 1
0.495 * [backup-simplify]: Simplify (* 1 1) into 1
0.495 * [backup-simplify]: Simplify (/ 1 1) into 1
0.496 * [backup-simplify]: Simplify (+ 0 1) into 1
0.496 * [backup-simplify]: Simplify (sqrt 1) into 1
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.499 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.499 * [taylor]: Taking taylor expansion of re in re
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 1 into 1
0.499 * [backup-simplify]: Simplify (/ 1 1) into 1
0.500 * [backup-simplify]: Simplify (- 1) into -1
0.500 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (- 0) into 0
0.502 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.505 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- 0) into 0
0.507 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.507 * [backup-simplify]: Simplify (sqrt 0) into 0
0.508 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.508 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.509 * [taylor]: Taking taylor expansion of 0 in im
0.509 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.510 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.510 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.510 * [taylor]: Taking taylor expansion of +nan.0 in im
0.510 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.510 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.510 * [taylor]: Taking taylor expansion of 2.0 in im
0.510 * [backup-simplify]: Simplify 2.0 into 2.0
0.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.511 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.511 * [taylor]: Taking taylor expansion of im in im
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [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
0.515 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.516 * [backup-simplify]: Simplify (- 0) into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ 0 0) into 0
0.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (- 0) into 0
0.521 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.525 * [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))))
0.525 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.525 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.525 * [taylor]: Taking taylor expansion of +nan.0 in im
0.525 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.525 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.525 * [taylor]: Taking taylor expansion of 2.0 in im
0.525 * [backup-simplify]: Simplify 2.0 into 2.0
0.525 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.526 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.526 * [taylor]: Taking taylor expansion of im in im
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.527 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (* 1 1) into 1
0.528 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.542 * [backup-simplify]: Simplify (- 0) into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.546 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.547 * [backup-simplify]: Simplify (- 0) into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ 0 0) into 0
0.552 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (- 0) into 0
0.553 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.554 * [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))))))
0.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.557 * [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))))))
0.557 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.558 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.558 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.558 * [taylor]: Taking taylor expansion of +nan.0 in im
0.558 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.558 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.558 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.558 * [taylor]: Taking taylor expansion of 2.0 in im
0.558 * [backup-simplify]: Simplify 2.0 into 2.0
0.558 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.559 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.559 * [taylor]: Taking taylor expansion of im in im
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 1 into 1
0.559 * [backup-simplify]: Simplify (* 1 1) into 1
0.560 * [backup-simplify]: Simplify (* 1 1) into 1
0.561 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.561 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.561 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.561 * [taylor]: Taking taylor expansion of +nan.0 in im
0.561 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.561 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.561 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.561 * [taylor]: Taking taylor expansion of 2.0 in im
0.561 * [backup-simplify]: Simplify 2.0 into 2.0
0.561 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.562 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.562 * [taylor]: Taking taylor expansion of im in im
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.562 * [backup-simplify]: Simplify (* 1 1) into 1
0.563 * [backup-simplify]: Simplify (* 1 1) into 1
0.563 * [backup-simplify]: Simplify (* 1 1) into 1
0.564 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.592 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.592 * [backup-simplify]: Simplify (- 0) into 0
0.593 * [backup-simplify]: Simplify (+ 0 0) into 0
0.593 * [backup-simplify]: Simplify (- 0) into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * * * [progress]: simplifying candidates
0.594 * [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))))
  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
0.595 * * [simplify]: Extracting # 0 : cost  0
0.595 * * [simplify]: Extracting # 1 : cost  0
0.595 * * [simplify]: Extracting # 2 : cost  0
0.595 * * [simplify]: Extracting # 3 : cost  0
0.595 * * [simplify]: Extracting # 4 : cost  0
0.595 * * [simplify]: Extracting # 5 : cost  0
0.595 * * [simplify]: Extracting # 6 : cost  0
0.596 * * [simplify]: Extracting # 7 : cost  0
0.596 * * [simplify]: Extracting # 8 : cost  0
0.596 * * [simplify]: Extracting # 9 : cost  0
0.596 * * [simplify]: Extracting # 10 : cost  0
0.596 * * [simplify]: Extracting # 11 : cost  0
0.596 * * [simplify]: Extracting # 12 : cost  0
0.596 * * [simplify]: iteration  0 :  99  enodes  (cost  722 )
0.619 * * [simplify]: Extracting # 0 : cost  0
0.619 * * [simplify]: Extracting # 1 : cost  0
0.619 * * [simplify]: Extracting # 2 : cost  0
0.619 * * [simplify]: Extracting # 3 : cost  0
0.620 * * [simplify]: Extracting # 4 : cost  0
0.620 * * [simplify]: iteration  1 :  243  enodes  (cost  617 )
0.712 * * [simplify]: Extracting # 0 : cost  0
0.713 * * [simplify]: Extracting # 1 : cost  0
0.715 * * [simplify]: Extracting # 2 : cost  0
0.716 * * [simplify]: Extracting # 3 : cost  0
0.717 * * [simplify]: Extracting # 4 : cost  0
0.718 * * [simplify]: iteration  2 :  642  enodes  (cost  569 )
1.005 * * [simplify]: Extracting # 0 : cost  0
1.006 * * [simplify]: Extracting # 1 : cost  0
1.008 * * [simplify]: Extracting # 2 : cost  0
1.009 * * [simplify]: Extracting # 3 : cost  0
1.015 * * [simplify]: Extracting # 4 : cost  0
1.017 * * [simplify]: iteration  3 :  1604  enodes  (cost  542 )
2.584 * * [simplify]: Extracting # 0 : cost  0
2.593 * * [simplify]: Extracting # 1 : cost  0
2.599 * * [simplify]: Extracting # 2 : cost  0
2.606 * * [simplify]: Extracting # 3 : cost  0
2.613 * * [simplify]: Extracting # 4 : cost  0
2.620 * * [simplify]: iteration  4 :  4024  enodes  (cost  537 )
4.126 * * [simplify]: Extracting # 0 : cost  0
4.135 * * [simplify]: Extracting # 1 : cost  0
4.144 * * [simplify]: Extracting # 2 : cost  0
4.153 * * [simplify]: Extracting # 3 : cost  0
4.162 * * [simplify]: Extracting # 4 : cost  0
4.171 * * [simplify]: iteration done:  5000  enodes  (cost  537 )
4.172 * [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 (- re (sqrt (+ (* re re) (* im im)))))) (* im im))
  (pow im 2)
  (- (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 (- re (sqrt (+ (* re re) (* im im)))))) (* 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))))
  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
4.173 * * * [progress]: adding candidates to table
4.396 * * [progress]: iteration 2 / 4
4.397 * * * [progress]: picking best candidate
4.416 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
4.416 * * * [progress]: localizing error
4.445 * * * [progress]: generating rewritten candidates
4.445 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
4.461 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
4.488 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1)
4.581 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
4.656 * * * [progress]: generating series expansions
4.656 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
4.657 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.657 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.657 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.657 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.657 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.657 * [taylor]: Taking taylor expansion of re in im
4.657 * [backup-simplify]: Simplify re into re
4.657 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.657 * [taylor]: Taking taylor expansion of im in im
4.657 * [backup-simplify]: Simplify 0 into 0
4.657 * [backup-simplify]: Simplify 1 into 1
4.657 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.657 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.657 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.657 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.658 * [backup-simplify]: Simplify (+ 0 0) into 0
4.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.658 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.658 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.658 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.658 * [taylor]: Taking taylor expansion of re in re
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 1 into 1
4.658 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.658 * [taylor]: Taking taylor expansion of im in re
4.658 * [backup-simplify]: Simplify im into im
4.658 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.658 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.658 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.658 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.658 * [backup-simplify]: Simplify (+ 0 0) into 0
4.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.659 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.659 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.659 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.659 * [taylor]: Taking taylor expansion of re in re
4.659 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify 1 into 1
4.659 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.659 * [taylor]: Taking taylor expansion of im in re
4.659 * [backup-simplify]: Simplify im into im
4.659 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.659 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.659 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.659 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.659 * [backup-simplify]: Simplify (+ 0 0) into 0
4.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.660 * [taylor]: Taking taylor expansion of im in im
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 1 into 1
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [taylor]: Taking taylor expansion of 0 in im
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 1 into 1
4.660 * [backup-simplify]: Simplify (* 1 1) into 1
4.660 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.660 * [backup-simplify]: Simplify (+ 1 0) into 1
4.661 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.661 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.661 * [taylor]: Taking taylor expansion of 1/2 in im
4.661 * [backup-simplify]: Simplify 1/2 into 1/2
4.661 * [taylor]: Taking taylor expansion of im in im
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 1 into 1
4.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.662 * [backup-simplify]: Simplify 0 into 0
4.662 * [backup-simplify]: Simplify 0 into 0
4.662 * [backup-simplify]: Simplify 0 into 0
4.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.663 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.663 * [backup-simplify]: Simplify (+ 0 0) into 0
4.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.663 * [taylor]: Taking taylor expansion of 0 in im
4.663 * [backup-simplify]: Simplify 0 into 0
4.663 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.664 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.664 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.664 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.664 * [taylor]: Taking taylor expansion of im in im
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify 1 into 1
4.664 * [backup-simplify]: Simplify (* 1 1) into 1
4.665 * [backup-simplify]: Simplify (/ 1 1) into 1
4.665 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.665 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.665 * [taylor]: Taking taylor expansion of re in im
4.665 * [backup-simplify]: Simplify re into re
4.665 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.665 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.665 * [backup-simplify]: Simplify (+ 1 0) into 1
4.666 * [backup-simplify]: Simplify (sqrt 1) into 1
4.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.667 * [backup-simplify]: Simplify (+ 0 0) into 0
4.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.667 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.667 * [taylor]: Taking taylor expansion of im in re
4.667 * [backup-simplify]: Simplify im into im
4.667 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.667 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.667 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.667 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.667 * [taylor]: Taking taylor expansion of re in re
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 1 into 1
4.668 * [backup-simplify]: Simplify (* 1 1) into 1
4.668 * [backup-simplify]: Simplify (/ 1 1) into 1
4.669 * [backup-simplify]: Simplify (+ 0 1) into 1
4.669 * [backup-simplify]: Simplify (sqrt 1) into 1
4.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.671 * [backup-simplify]: Simplify (+ 0 0) into 0
4.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.671 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.671 * [taylor]: Taking taylor expansion of im in re
4.671 * [backup-simplify]: Simplify im into im
4.672 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.672 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.672 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.672 * [taylor]: Taking taylor expansion of re in re
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 1 into 1
4.672 * [backup-simplify]: Simplify (* 1 1) into 1
4.672 * [backup-simplify]: Simplify (/ 1 1) into 1
4.673 * [backup-simplify]: Simplify (+ 0 1) into 1
4.673 * [backup-simplify]: Simplify (sqrt 1) into 1
4.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.674 * [backup-simplify]: Simplify (+ 0 0) into 0
4.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.674 * [taylor]: Taking taylor expansion of 1 in im
4.674 * [backup-simplify]: Simplify 1 into 1
4.675 * [taylor]: Taking taylor expansion of 0 in im
4.675 * [backup-simplify]: Simplify 0 into 0
4.675 * [backup-simplify]: Simplify 1 into 1
4.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.676 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.677 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.677 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.677 * [taylor]: Taking taylor expansion of 1/2 in im
4.677 * [backup-simplify]: Simplify 1/2 into 1/2
4.677 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.677 * [taylor]: Taking taylor expansion of im in im
4.677 * [backup-simplify]: Simplify 0 into 0
4.677 * [backup-simplify]: Simplify 1 into 1
4.677 * [backup-simplify]: Simplify (* 1 1) into 1
4.678 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.678 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.680 * [backup-simplify]: Simplify (+ 0 0) into 0
4.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.681 * [taylor]: Taking taylor expansion of 0 in im
4.681 * [backup-simplify]: Simplify 0 into 0
4.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.682 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.682 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.682 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.682 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.682 * [taylor]: Taking taylor expansion of im in im
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 1 into 1
4.683 * [backup-simplify]: Simplify (* 1 1) into 1
4.683 * [backup-simplify]: Simplify (/ 1 1) into 1
4.683 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.683 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.683 * [taylor]: Taking taylor expansion of re in im
4.683 * [backup-simplify]: Simplify re into re
4.683 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.683 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.683 * [backup-simplify]: Simplify (+ 1 0) into 1
4.684 * [backup-simplify]: Simplify (sqrt 1) into 1
4.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.685 * [backup-simplify]: Simplify (+ 0 0) into 0
4.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.685 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.685 * [taylor]: Taking taylor expansion of im in re
4.685 * [backup-simplify]: Simplify im into im
4.685 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.685 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.685 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.685 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.685 * [taylor]: Taking taylor expansion of re in re
4.685 * [backup-simplify]: Simplify 0 into 0
4.685 * [backup-simplify]: Simplify 1 into 1
4.686 * [backup-simplify]: Simplify (* 1 1) into 1
4.686 * [backup-simplify]: Simplify (/ 1 1) into 1
4.686 * [backup-simplify]: Simplify (+ 0 1) into 1
4.686 * [backup-simplify]: Simplify (sqrt 1) into 1
4.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.688 * [backup-simplify]: Simplify (+ 0 0) into 0
4.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.688 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.688 * [taylor]: Taking taylor expansion of im in re
4.688 * [backup-simplify]: Simplify im into im
4.688 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.688 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.688 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.688 * [taylor]: Taking taylor expansion of re in re
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify 1 into 1
4.689 * [backup-simplify]: Simplify (* 1 1) into 1
4.689 * [backup-simplify]: Simplify (/ 1 1) into 1
4.689 * [backup-simplify]: Simplify (+ 0 1) into 1
4.689 * [backup-simplify]: Simplify (sqrt 1) into 1
4.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.691 * [backup-simplify]: Simplify (+ 0 0) into 0
4.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.691 * [taylor]: Taking taylor expansion of 1 in im
4.691 * [backup-simplify]: Simplify 1 into 1
4.691 * [taylor]: Taking taylor expansion of 0 in im
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 1 into 1
4.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.693 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.694 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.694 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.694 * [taylor]: Taking taylor expansion of 1/2 in im
4.694 * [backup-simplify]: Simplify 1/2 into 1/2
4.694 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.694 * [taylor]: Taking taylor expansion of im in im
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify 1 into 1
4.694 * [backup-simplify]: Simplify (* 1 1) into 1
4.694 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.695 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.697 * [backup-simplify]: Simplify (+ 0 0) into 0
4.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.697 * [taylor]: Taking taylor expansion of 0 in im
4.697 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.699 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
4.699 * [backup-simplify]: Simplify (sqrt (* (* im im) 2.0)) into (* (sqrt 2.0) im)
4.699 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0
4.699 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.699 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.699 * [taylor]: Taking taylor expansion of 2.0 in im
4.699 * [backup-simplify]: Simplify 2.0 into 2.0
4.699 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.700 * [taylor]: Taking taylor expansion of im in im
4.700 * [backup-simplify]: Simplify 0 into 0
4.700 * [backup-simplify]: Simplify 1 into 1
4.700 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.700 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.700 * [taylor]: Taking taylor expansion of 2.0 in im
4.700 * [backup-simplify]: Simplify 2.0 into 2.0
4.700 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.701 * [taylor]: Taking taylor expansion of im in im
4.701 * [backup-simplify]: Simplify 0 into 0
4.701 * [backup-simplify]: Simplify 1 into 1
4.701 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.701 * [backup-simplify]: Simplify 0 into 0
4.702 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
4.703 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.703 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.704 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.707 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.707 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.710 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.710 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.713 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.715 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.717 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
4.717 * [backup-simplify]: Simplify 0 into 0
4.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.729 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
4.729 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
4.730 * [backup-simplify]: Simplify (sqrt (* (* (/ 1 im) (/ 1 im)) 2.0)) into (/ (sqrt 2.0) im)
4.730 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
4.730 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.730 * [taylor]: Taking taylor expansion of 2.0 in im
4.730 * [backup-simplify]: Simplify 2.0 into 2.0
4.730 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.731 * [taylor]: Taking taylor expansion of im in im
4.731 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify 1 into 1
4.732 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.732 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.732 * [taylor]: Taking taylor expansion of 2.0 in im
4.732 * [backup-simplify]: Simplify 2.0 into 2.0
4.733 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.734 * [taylor]: Taking taylor expansion of im in im
4.734 * [backup-simplify]: Simplify 0 into 0
4.734 * [backup-simplify]: Simplify 1 into 1
4.735 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.735 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.736 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.739 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.741 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.744 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.747 * [backup-simplify]: Simplify 0 into 0
4.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.750 * [backup-simplify]: Simplify 0 into 0
4.750 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
4.751 * [backup-simplify]: Simplify (sqrt (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0)) into (/ (sqrt 2.0) im)
4.751 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
4.751 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.751 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.751 * [taylor]: Taking taylor expansion of 2.0 in im
4.751 * [backup-simplify]: Simplify 2.0 into 2.0
4.751 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.752 * [taylor]: Taking taylor expansion of im in im
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 1 into 1
4.753 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.753 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.753 * [taylor]: Taking taylor expansion of 2.0 in im
4.753 * [backup-simplify]: Simplify 2.0 into 2.0
4.754 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.754 * [taylor]: Taking taylor expansion of im in im
4.754 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify 1 into 1
4.755 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.756 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.757 * [backup-simplify]: Simplify 0 into 0
4.758 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.759 * [backup-simplify]: Simplify 0 into 0
4.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.762 * [backup-simplify]: Simplify 0 into 0
4.763 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.765 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.767 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.770 * [backup-simplify]: Simplify 0 into 0
4.770 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
4.770 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1)
4.771 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
4.771 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
4.771 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
4.771 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.771 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.771 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.771 * [taylor]: Taking taylor expansion of re in im
4.771 * [backup-simplify]: Simplify re into re
4.771 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.771 * [taylor]: Taking taylor expansion of im in im
4.771 * [backup-simplify]: Simplify 0 into 0
4.771 * [backup-simplify]: Simplify 1 into 1
4.771 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.771 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.771 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.771 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.772 * [backup-simplify]: Simplify (+ 0 0) into 0
4.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.772 * [taylor]: Taking taylor expansion of re in im
4.772 * [backup-simplify]: Simplify re into re
4.772 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.772 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.772 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.772 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.772 * [taylor]: Taking taylor expansion of re in re
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify 1 into 1
4.772 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.772 * [taylor]: Taking taylor expansion of im in re
4.772 * [backup-simplify]: Simplify im into im
4.772 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.773 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.773 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.773 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.773 * [backup-simplify]: Simplify (+ 0 0) into 0
4.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.773 * [taylor]: Taking taylor expansion of re in re
4.773 * [backup-simplify]: Simplify 0 into 0
4.774 * [backup-simplify]: Simplify 1 into 1
4.774 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.774 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.774 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.774 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.774 * [taylor]: Taking taylor expansion of re in re
4.774 * [backup-simplify]: Simplify 0 into 0
4.774 * [backup-simplify]: Simplify 1 into 1
4.774 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.774 * [taylor]: Taking taylor expansion of im in re
4.774 * [backup-simplify]: Simplify im into im
4.774 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.774 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.774 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.774 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.775 * [backup-simplify]: Simplify (+ 0 0) into 0
4.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.775 * [taylor]: Taking taylor expansion of re in re
4.775 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify 1 into 1
4.775 * [backup-simplify]: Simplify (- 0) into 0
4.775 * [backup-simplify]: Simplify (+ im 0) into im
4.775 * [taylor]: Taking taylor expansion of im in im
4.775 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify 1 into 1
4.776 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify (- 1) into -1
4.776 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.776 * [taylor]: Taking taylor expansion of -1 in im
4.776 * [backup-simplify]: Simplify -1 into -1
4.776 * [backup-simplify]: Simplify -1 into -1
4.776 * [backup-simplify]: Simplify 1 into 1
4.777 * [backup-simplify]: Simplify (* 1 1) into 1
4.777 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.778 * [backup-simplify]: Simplify (+ 1 0) into 1
4.778 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.779 * [backup-simplify]: Simplify (- 0) into 0
4.779 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.779 * [taylor]: Taking taylor expansion of 1/2 in im
4.779 * [backup-simplify]: Simplify 1/2 into 1/2
4.779 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.779 * [taylor]: Taking taylor expansion of im in im
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify 1 into 1
4.779 * [backup-simplify]: Simplify (/ 1 1) into 1
4.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.782 * [backup-simplify]: Simplify 0 into 0
4.782 * [backup-simplify]: Simplify 0 into 0
4.782 * [backup-simplify]: Simplify 0 into 0
4.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.783 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.784 * [backup-simplify]: Simplify (+ 0 0) into 0
4.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.784 * [backup-simplify]: Simplify (- 0) into 0
4.785 * [backup-simplify]: Simplify (+ 0 0) into 0
4.785 * [taylor]: Taking taylor expansion of 0 in im
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.787 * [backup-simplify]: Simplify 0 into 0
4.787 * [backup-simplify]: Simplify 0 into 0
4.787 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.787 * [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))
4.787 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
4.787 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.787 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.787 * [taylor]: Taking taylor expansion of im in im
4.788 * [backup-simplify]: Simplify 0 into 0
4.788 * [backup-simplify]: Simplify 1 into 1
4.788 * [backup-simplify]: Simplify (* 1 1) into 1
4.788 * [backup-simplify]: Simplify (/ 1 1) into 1
4.788 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.788 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.788 * [taylor]: Taking taylor expansion of re in im
4.788 * [backup-simplify]: Simplify re into re
4.789 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.789 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.789 * [backup-simplify]: Simplify (+ 1 0) into 1
4.789 * [backup-simplify]: Simplify (sqrt 1) into 1
4.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.791 * [backup-simplify]: Simplify (+ 0 0) into 0
4.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.792 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.792 * [taylor]: Taking taylor expansion of re in im
4.792 * [backup-simplify]: Simplify re into re
4.792 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.792 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.792 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.792 * [taylor]: Taking taylor expansion of im in re
4.792 * [backup-simplify]: Simplify im into im
4.792 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.792 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.792 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.793 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.793 * [taylor]: Taking taylor expansion of re in re
4.793 * [backup-simplify]: Simplify 0 into 0
4.793 * [backup-simplify]: Simplify 1 into 1
4.793 * [backup-simplify]: Simplify (* 1 1) into 1
4.793 * [backup-simplify]: Simplify (/ 1 1) into 1
4.794 * [backup-simplify]: Simplify (+ 0 1) into 1
4.794 * [backup-simplify]: Simplify (sqrt 1) into 1
4.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.796 * [backup-simplify]: Simplify (+ 0 0) into 0
4.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.796 * [taylor]: Taking taylor expansion of re in re
4.797 * [backup-simplify]: Simplify 0 into 0
4.797 * [backup-simplify]: Simplify 1 into 1
4.797 * [backup-simplify]: Simplify (/ 1 1) into 1
4.797 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.797 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.797 * [taylor]: Taking taylor expansion of im in re
4.797 * [backup-simplify]: Simplify im into im
4.797 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.797 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.797 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.797 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.797 * [taylor]: Taking taylor expansion of re in re
4.797 * [backup-simplify]: Simplify 0 into 0
4.798 * [backup-simplify]: Simplify 1 into 1
4.798 * [backup-simplify]: Simplify (* 1 1) into 1
4.798 * [backup-simplify]: Simplify (/ 1 1) into 1
4.799 * [backup-simplify]: Simplify (+ 0 1) into 1
4.799 * [backup-simplify]: Simplify (sqrt 1) into 1
4.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.801 * [backup-simplify]: Simplify (+ 0 0) into 0
4.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.801 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.801 * [taylor]: Taking taylor expansion of re in re
4.801 * [backup-simplify]: Simplify 0 into 0
4.802 * [backup-simplify]: Simplify 1 into 1
4.802 * [backup-simplify]: Simplify (/ 1 1) into 1
4.802 * [backup-simplify]: Simplify (- 1) into -1
4.803 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.803 * [taylor]: Taking taylor expansion of 0 in im
4.803 * [backup-simplify]: Simplify 0 into 0
4.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.804 * [backup-simplify]: Simplify (- 0) into 0
4.804 * [backup-simplify]: Simplify (+ 0 0) into 0
4.804 * [taylor]: Taking taylor expansion of 0 in im
4.804 * [backup-simplify]: Simplify 0 into 0
4.805 * [backup-simplify]: Simplify 0 into 0
4.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.806 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.808 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.809 * [backup-simplify]: Simplify (- 0) into 0
4.809 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.809 * [taylor]: Taking taylor expansion of 1/2 in im
4.809 * [backup-simplify]: Simplify 1/2 into 1/2
4.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.809 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.809 * [taylor]: Taking taylor expansion of im in im
4.809 * [backup-simplify]: Simplify 0 into 0
4.809 * [backup-simplify]: Simplify 1 into 1
4.810 * [backup-simplify]: Simplify (* 1 1) into 1
4.810 * [backup-simplify]: Simplify (/ 1 1) into 1
4.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.812 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.815 * [backup-simplify]: Simplify (+ 0 0) into 0
4.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.817 * [backup-simplify]: Simplify (- 0) into 0
4.817 * [backup-simplify]: Simplify (+ 0 0) into 0
4.818 * [taylor]: Taking taylor expansion of 0 in im
4.818 * [backup-simplify]: Simplify 0 into 0
4.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.820 * [backup-simplify]: Simplify 0 into 0
4.820 * [backup-simplify]: Simplify 0 into 0
4.820 * [backup-simplify]: Simplify 0 into 0
4.821 * [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)))))
4.821 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
4.821 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.821 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.821 * [taylor]: Taking taylor expansion of re in im
4.821 * [backup-simplify]: Simplify re into re
4.821 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.821 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.821 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.821 * [taylor]: Taking taylor expansion of im in im
4.821 * [backup-simplify]: Simplify 0 into 0
4.821 * [backup-simplify]: Simplify 1 into 1
4.822 * [backup-simplify]: Simplify (* 1 1) into 1
4.822 * [backup-simplify]: Simplify (/ 1 1) into 1
4.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.822 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.822 * [taylor]: Taking taylor expansion of re in im
4.822 * [backup-simplify]: Simplify re into re
4.822 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.822 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.823 * [backup-simplify]: Simplify (+ 1 0) into 1
4.823 * [backup-simplify]: Simplify (sqrt 1) into 1
4.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.825 * [backup-simplify]: Simplify (+ 0 0) into 0
4.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.826 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.826 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.826 * [taylor]: Taking taylor expansion of re in re
4.826 * [backup-simplify]: Simplify 0 into 0
4.826 * [backup-simplify]: Simplify 1 into 1
4.826 * [backup-simplify]: Simplify (/ 1 1) into 1
4.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.826 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.826 * [taylor]: Taking taylor expansion of im in re
4.826 * [backup-simplify]: Simplify im into im
4.826 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.827 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.827 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.827 * [taylor]: Taking taylor expansion of re in re
4.827 * [backup-simplify]: Simplify 0 into 0
4.827 * [backup-simplify]: Simplify 1 into 1
4.827 * [backup-simplify]: Simplify (* 1 1) into 1
4.827 * [backup-simplify]: Simplify (/ 1 1) into 1
4.828 * [backup-simplify]: Simplify (+ 0 1) into 1
4.828 * [backup-simplify]: Simplify (sqrt 1) into 1
4.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.830 * [backup-simplify]: Simplify (+ 0 0) into 0
4.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.831 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.831 * [taylor]: Taking taylor expansion of re in re
4.831 * [backup-simplify]: Simplify 0 into 0
4.831 * [backup-simplify]: Simplify 1 into 1
4.831 * [backup-simplify]: Simplify (/ 1 1) into 1
4.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.831 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.831 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.831 * [taylor]: Taking taylor expansion of im in re
4.831 * [backup-simplify]: Simplify im into im
4.831 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.832 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.832 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.832 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.832 * [taylor]: Taking taylor expansion of re in re
4.832 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify 1 into 1
4.832 * [backup-simplify]: Simplify (* 1 1) into 1
4.832 * [backup-simplify]: Simplify (/ 1 1) into 1
4.833 * [backup-simplify]: Simplify (+ 0 1) into 1
4.833 * [backup-simplify]: Simplify (sqrt 1) into 1
4.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.835 * [backup-simplify]: Simplify (+ 0 0) into 0
4.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.836 * [backup-simplify]: Simplify (+ 1 1) into 2
4.836 * [taylor]: Taking taylor expansion of 2 in im
4.836 * [backup-simplify]: Simplify 2 into 2
4.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.837 * [backup-simplify]: Simplify (+ 0 0) into 0
4.837 * [taylor]: Taking taylor expansion of 0 in im
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify 2 into 2
4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.840 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.841 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.841 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.842 * [taylor]: Taking taylor expansion of 1/2 in im
4.842 * [backup-simplify]: Simplify 1/2 into 1/2
4.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.842 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.842 * [taylor]: Taking taylor expansion of im in im
4.842 * [backup-simplify]: Simplify 0 into 0
4.842 * [backup-simplify]: Simplify 1 into 1
4.842 * [backup-simplify]: Simplify (* 1 1) into 1
4.842 * [backup-simplify]: Simplify (/ 1 1) into 1
4.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.844 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.846 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.848 * [backup-simplify]: Simplify (+ 0 0) into 0
4.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.849 * [backup-simplify]: Simplify (+ 0 0) into 0
4.849 * [taylor]: Taking taylor expansion of 0 in im
4.849 * [backup-simplify]: Simplify 0 into 0
4.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.852 * [backup-simplify]: Simplify 0 into 0
4.852 * [backup-simplify]: Simplify 0 into 0
4.852 * [backup-simplify]: Simplify 0 into 0
4.852 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
4.852 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
4.853 * [backup-simplify]: Simplify (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
4.853 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0
4.853 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
4.853 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
4.853 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.853 * [taylor]: Taking taylor expansion of 2.0 in re
4.853 * [backup-simplify]: Simplify 2.0 into 2.0
4.853 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.854 * [taylor]: Taking taylor expansion of im in re
4.854 * [backup-simplify]: Simplify im into im
4.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
4.854 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
4.854 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.854 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.854 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.854 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.854 * [taylor]: Taking taylor expansion of re in re
4.854 * [backup-simplify]: Simplify 0 into 0
4.854 * [backup-simplify]: Simplify 1 into 1
4.854 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.854 * [taylor]: Taking taylor expansion of im in re
4.855 * [backup-simplify]: Simplify im into im
4.855 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.855 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.855 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.855 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.855 * [backup-simplify]: Simplify (+ 0 0) into 0
4.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.856 * [taylor]: Taking taylor expansion of re in re
4.856 * [backup-simplify]: Simplify 0 into 0
4.856 * [backup-simplify]: Simplify 1 into 1
4.856 * [backup-simplify]: Simplify (- 0) into 0
4.856 * [backup-simplify]: Simplify (+ im 0) into im
4.856 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.856 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
4.857 * [backup-simplify]: Simplify (- 1) into -1
4.857 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
4.857 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
4.857 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
4.857 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.858 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.858 * [taylor]: Taking taylor expansion of 2.0 in im
4.858 * [backup-simplify]: Simplify 2.0 into 2.0
4.858 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.859 * [taylor]: Taking taylor expansion of im in im
4.859 * [backup-simplify]: Simplify 0 into 0
4.859 * [backup-simplify]: Simplify 1 into 1
4.859 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
4.859 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
4.859 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
4.859 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.859 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.859 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.859 * [taylor]: Taking taylor expansion of re in im
4.859 * [backup-simplify]: Simplify re into re
4.859 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.859 * [taylor]: Taking taylor expansion of im in im
4.859 * [backup-simplify]: Simplify 0 into 0
4.859 * [backup-simplify]: Simplify 1 into 1
4.859 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.859 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.859 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.860 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.860 * [backup-simplify]: Simplify (+ 0 0) into 0
4.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.860 * [taylor]: Taking taylor expansion of re in im
4.861 * [backup-simplify]: Simplify re into re
4.861 * [backup-simplify]: Simplify (- re) into (- re)
4.861 * [backup-simplify]: Simplify (+ re (- re)) into 0
4.861 * [backup-simplify]: Simplify (- 0) into 0
4.861 * [backup-simplify]: Simplify (+ 0 0) into 0
4.862 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.862 * [backup-simplify]: Simplify (* 1 1) into 1
4.863 * [backup-simplify]: Simplify (+ 0 1) into 1
4.863 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
4.864 * [backup-simplify]: Simplify (- 0) into 0
4.864 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
4.864 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
4.864 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
4.865 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
4.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.866 * [backup-simplify]: Simplify (+ 0 0) into 0
4.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
4.867 * [backup-simplify]: Simplify (- 0) into 0
4.867 * [backup-simplify]: Simplify (+ 0 0) into 0
4.867 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
4.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
4.867 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
4.867 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.867 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.867 * [taylor]: Taking taylor expansion of 2.0 in im
4.868 * [backup-simplify]: Simplify 2.0 into 2.0
4.868 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.869 * [taylor]: Taking taylor expansion of im in im
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify 1 into 1
4.869 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
4.869 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
4.869 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
4.869 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.869 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.869 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.869 * [taylor]: Taking taylor expansion of re in im
4.869 * [backup-simplify]: Simplify re into re
4.869 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.869 * [taylor]: Taking taylor expansion of im in im
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify 1 into 1
4.869 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.870 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.870 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.870 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.870 * [backup-simplify]: Simplify (+ 0 0) into 0
4.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.870 * [taylor]: Taking taylor expansion of re in im
4.870 * [backup-simplify]: Simplify re into re
4.870 * [backup-simplify]: Simplify (- re) into (- re)
4.871 * [backup-simplify]: Simplify (+ re (- re)) into 0
4.871 * [backup-simplify]: Simplify (- 0) into 0
4.871 * [backup-simplify]: Simplify (+ 0 0) into 0
4.872 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.872 * [backup-simplify]: Simplify (* 1 1) into 1
4.873 * [backup-simplify]: Simplify (+ 0 1) into 1
4.873 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
4.874 * [backup-simplify]: Simplify (- 0) into 0
4.874 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
4.874 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
4.874 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
4.875 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
4.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.880 * [backup-simplify]: Simplify (+ 0 0) into 0
4.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
4.881 * [backup-simplify]: Simplify (- 0) into 0
4.882 * [backup-simplify]: Simplify (+ 0 0) into 0
4.882 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
4.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
4.883 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.883 * [backup-simplify]: Simplify (* 0 (* (sqrt re) (sqrt 2))) into 0
4.883 * [taylor]: Taking taylor expansion of 0 in re
4.883 * [backup-simplify]: Simplify 0 into 0
4.883 * [backup-simplify]: Simplify 0 into 0
4.885 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
4.887 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt re) (sqrt 2)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
4.887 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
4.887 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
4.887 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.887 * [taylor]: Taking taylor expansion of 2.0 in re
4.887 * [backup-simplify]: Simplify 2.0 into 2.0
4.887 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.888 * [taylor]: Taking taylor expansion of (sqrt 2) in re
4.888 * [taylor]: Taking taylor expansion of 2 in re
4.888 * [backup-simplify]: Simplify 2 into 2
4.889 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.889 * [taylor]: Taking taylor expansion of (sqrt re) in re
4.889 * [taylor]: Taking taylor expansion of re in re
4.889 * [backup-simplify]: Simplify 0 into 0
4.889 * [backup-simplify]: Simplify 1 into 1
4.890 * [backup-simplify]: Simplify (sqrt 0) into 0
4.891 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.893 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
4.894 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
4.894 * [backup-simplify]: Simplify 0 into 0
4.894 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
4.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.897 * [backup-simplify]: Simplify (+ 0 0) into 0
4.898 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
4.898 * [backup-simplify]: Simplify (- 0) into 0
4.899 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
4.899 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
4.901 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))
4.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.903 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
4.905 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt re) (sqrt 2))))) into 0
4.905 * [taylor]: Taking taylor expansion of 0 in re
4.905 * [backup-simplify]: Simplify 0 into 0
4.905 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
4.911 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
4.914 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
4.914 * [backup-simplify]: Simplify 0 into 0
4.916 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
4.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.918 * [backup-simplify]: Simplify (+ 0 0) into 0
4.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
4.918 * [backup-simplify]: Simplify (- 0) into 0
4.919 * [backup-simplify]: Simplify (+ 0 0) into 0
4.919 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0
4.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))))))) (* 2 (* (sqrt re) (sqrt 2)))) into 0
4.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.924 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
4.927 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
4.927 * [taylor]: Taking taylor expansion of 1/4 in re
4.927 * [backup-simplify]: Simplify 1/4 into 1/4
4.927 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
4.927 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
4.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.927 * [taylor]: Taking taylor expansion of 2.0 in re
4.927 * [backup-simplify]: Simplify 2.0 into 2.0
4.928 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.928 * [taylor]: Taking taylor expansion of (sqrt 2) in re
4.928 * [taylor]: Taking taylor expansion of 2 in re
4.929 * [backup-simplify]: Simplify 2 into 2
4.929 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.931 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
4.931 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
4.931 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
4.931 * [taylor]: Taking taylor expansion of (pow re 3) in re
4.931 * [taylor]: Taking taylor expansion of re in re
4.931 * [backup-simplify]: Simplify 0 into 0
4.931 * [backup-simplify]: Simplify 1 into 1
4.932 * [backup-simplify]: Simplify (* 1 1) into 1
4.932 * [backup-simplify]: Simplify (* 1 1) into 1
4.932 * [backup-simplify]: Simplify (/ 1 1) into 1
4.933 * [backup-simplify]: Simplify (sqrt 0) into 0
4.934 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.941 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.943 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
4.944 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.945 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
4.947 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
4.952 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
4.955 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
4.956 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
4.965 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
4.969 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
4.969 * [backup-simplify]: Simplify 0 into 0
4.972 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.974 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
4.975 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.976 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
4.981 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
4.984 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
4.992 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
4.992 * [backup-simplify]: Simplify (/ (sqrt (* (* (/ 1 im) (/ 1 im)) 2.0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))
4.992 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0
4.992 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
4.992 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
4.992 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.992 * [taylor]: Taking taylor expansion of 2.0 in re
4.992 * [backup-simplify]: Simplify 2.0 into 2.0
4.992 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.993 * [taylor]: Taking taylor expansion of im in re
4.993 * [backup-simplify]: Simplify im into im
4.993 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
4.993 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
4.993 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
4.993 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.993 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.993 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.993 * [taylor]: Taking taylor expansion of im in re
4.993 * [backup-simplify]: Simplify im into im
4.993 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.994 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.994 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.994 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.994 * [taylor]: Taking taylor expansion of re in re
4.994 * [backup-simplify]: Simplify 0 into 0
4.994 * [backup-simplify]: Simplify 1 into 1
4.994 * [backup-simplify]: Simplify (* 1 1) into 1
4.994 * [backup-simplify]: Simplify (/ 1 1) into 1
4.994 * [backup-simplify]: Simplify (+ 0 1) into 1
4.995 * [backup-simplify]: Simplify (sqrt 1) into 1
4.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.996 * [backup-simplify]: Simplify (+ 0 0) into 0
4.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.996 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.996 * [taylor]: Taking taylor expansion of re in re
4.996 * [backup-simplify]: Simplify 0 into 0
4.996 * [backup-simplify]: Simplify 1 into 1
4.997 * [backup-simplify]: Simplify (/ 1 1) into 1
4.997 * [backup-simplify]: Simplify (- 1) into -1
4.997 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.998 * [backup-simplify]: Simplify (- 0) into 0
4.998 * [backup-simplify]: Simplify (+ 0 0) into 0
4.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.999 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.000 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.001 * [backup-simplify]: Simplify (- 0) into 0
5.001 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.001 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
5.001 * [backup-simplify]: Simplify (sqrt 0) into 0
5.002 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
5.002 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
5.002 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.002 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.002 * [taylor]: Taking taylor expansion of 2.0 in im
5.002 * [backup-simplify]: Simplify 2.0 into 2.0
5.002 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.003 * [taylor]: Taking taylor expansion of im in im
5.003 * [backup-simplify]: Simplify 0 into 0
5.003 * [backup-simplify]: Simplify 1 into 1
5.003 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.003 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
5.003 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
5.003 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
5.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.003 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.003 * [taylor]: Taking taylor expansion of im in im
5.003 * [backup-simplify]: Simplify 0 into 0
5.003 * [backup-simplify]: Simplify 1 into 1
5.004 * [backup-simplify]: Simplify (* 1 1) into 1
5.004 * [backup-simplify]: Simplify (/ 1 1) into 1
5.004 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.004 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.004 * [taylor]: Taking taylor expansion of re in im
5.004 * [backup-simplify]: Simplify re into re
5.004 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.004 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.004 * [backup-simplify]: Simplify (+ 1 0) into 1
5.005 * [backup-simplify]: Simplify (sqrt 1) into 1
5.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.006 * [backup-simplify]: Simplify (+ 0 0) into 0
5.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.006 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.006 * [taylor]: Taking taylor expansion of re in im
5.006 * [backup-simplify]: Simplify re into re
5.006 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.006 * [backup-simplify]: Simplify (+ 1 0) into 1
5.007 * [backup-simplify]: Simplify (/ 1 1) into 1
5.007 * [backup-simplify]: Simplify (sqrt 0) into 0
5.008 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.008 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
5.008 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.008 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.008 * [taylor]: Taking taylor expansion of 2.0 in im
5.008 * [backup-simplify]: Simplify 2.0 into 2.0
5.008 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.009 * [taylor]: Taking taylor expansion of im in im
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify 1 into 1
5.009 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.009 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
5.009 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
5.009 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
5.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.009 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.009 * [taylor]: Taking taylor expansion of im in im
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify 1 into 1
5.010 * [backup-simplify]: Simplify (* 1 1) into 1
5.010 * [backup-simplify]: Simplify (/ 1 1) into 1
5.010 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.010 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.010 * [taylor]: Taking taylor expansion of re in im
5.010 * [backup-simplify]: Simplify re into re
5.010 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.010 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.010 * [backup-simplify]: Simplify (+ 1 0) into 1
5.011 * [backup-simplify]: Simplify (sqrt 1) into 1
5.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.012 * [backup-simplify]: Simplify (+ 0 0) into 0
5.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.012 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.012 * [taylor]: Taking taylor expansion of re in im
5.012 * [backup-simplify]: Simplify re into re
5.013 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.013 * [backup-simplify]: Simplify (+ 1 0) into 1
5.013 * [backup-simplify]: Simplify (/ 1 1) into 1
5.013 * [backup-simplify]: Simplify (sqrt 0) into 0
5.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.015 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.015 * [taylor]: Taking taylor expansion of 0 in re
5.015 * [backup-simplify]: Simplify 0 into 0
5.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.023 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.023 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
5.023 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.023 * [taylor]: Taking taylor expansion of +nan.0 in re
5.023 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.023 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.023 * [taylor]: Taking taylor expansion of 2.0 in re
5.023 * [backup-simplify]: Simplify 2.0 into 2.0
5.024 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.024 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
5.025 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
5.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
5.026 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
5.027 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.030 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.030 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.030 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.030 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.030 * [taylor]: Taking taylor expansion of +nan.0 in re
5.030 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.030 * [taylor]: Taking taylor expansion of 2.0 in re
5.030 * [backup-simplify]: Simplify 2.0 into 2.0
5.031 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.032 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.032 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.032 * [taylor]: Taking taylor expansion of +nan.0 in re
5.032 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.032 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.032 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.032 * [taylor]: Taking taylor expansion of 2.0 in re
5.032 * [backup-simplify]: Simplify 2.0 into 2.0
5.032 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.033 * [taylor]: Taking taylor expansion of re in re
5.033 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify 1 into 1
5.034 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.035 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.037 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.039 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.041 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.043 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.044 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.046 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.047 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.047 * [backup-simplify]: Simplify 0 into 0
5.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.049 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
5.051 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.051 * [backup-simplify]: Simplify (- 0) into 0
5.052 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
5.053 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
5.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.058 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
5.058 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
5.058 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
5.058 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.058 * [taylor]: Taking taylor expansion of +nan.0 in re
5.058 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.058 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.058 * [taylor]: Taking taylor expansion of 2.0 in re
5.058 * [backup-simplify]: Simplify 2.0 into 2.0
5.059 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.060 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.060 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.060 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
5.060 * [taylor]: Taking taylor expansion of +nan.0 in re
5.060 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.060 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
5.060 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.060 * [taylor]: Taking taylor expansion of 2.0 in re
5.060 * [backup-simplify]: Simplify 2.0 into 2.0
5.060 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.061 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.061 * [taylor]: Taking taylor expansion of re in re
5.061 * [backup-simplify]: Simplify 0 into 0
5.061 * [backup-simplify]: Simplify 1 into 1
5.062 * [backup-simplify]: Simplify (* 1 1) into 1
5.063 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.063 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.063 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.063 * [taylor]: Taking taylor expansion of +nan.0 in re
5.063 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.063 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.063 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.063 * [taylor]: Taking taylor expansion of 2.0 in re
5.063 * [backup-simplify]: Simplify 2.0 into 2.0
5.063 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.064 * [taylor]: Taking taylor expansion of re in re
5.064 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify 1 into 1
5.065 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.068 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.069 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.070 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.073 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.075 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.078 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.080 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.082 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.087 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
5.088 * [backup-simplify]: Simplify (/ (sqrt (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))
5.088 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0
5.088 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
5.088 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
5.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.088 * [taylor]: Taking taylor expansion of 2.0 in re
5.088 * [backup-simplify]: Simplify 2.0 into 2.0
5.089 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.089 * [taylor]: Taking taylor expansion of im in re
5.089 * [backup-simplify]: Simplify im into im
5.090 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
5.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
5.090 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.090 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.090 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.090 * [taylor]: Taking taylor expansion of re in re
5.090 * [backup-simplify]: Simplify 0 into 0
5.090 * [backup-simplify]: Simplify 1 into 1
5.091 * [backup-simplify]: Simplify (/ 1 1) into 1
5.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.091 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.091 * [taylor]: Taking taylor expansion of im in re
5.091 * [backup-simplify]: Simplify im into im
5.091 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.091 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.091 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.091 * [taylor]: Taking taylor expansion of re in re
5.091 * [backup-simplify]: Simplify 0 into 0
5.091 * [backup-simplify]: Simplify 1 into 1
5.092 * [backup-simplify]: Simplify (* 1 1) into 1
5.092 * [backup-simplify]: Simplify (/ 1 1) into 1
5.092 * [backup-simplify]: Simplify (+ 0 1) into 1
5.093 * [backup-simplify]: Simplify (sqrt 1) into 1
5.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.095 * [backup-simplify]: Simplify (+ 0 0) into 0
5.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.096 * [backup-simplify]: Simplify (+ 1 1) into 2
5.096 * [backup-simplify]: Simplify (/ 1 2) into 1/2
5.097 * [backup-simplify]: Simplify (sqrt 0) into 0
5.098 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
5.098 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
5.098 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.098 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.098 * [taylor]: Taking taylor expansion of 2.0 in im
5.098 * [backup-simplify]: Simplify 2.0 into 2.0
5.099 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.100 * [taylor]: Taking taylor expansion of im in im
5.100 * [backup-simplify]: Simplify 0 into 0
5.100 * [backup-simplify]: Simplify 1 into 1
5.101 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
5.101 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
5.101 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.101 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.101 * [taylor]: Taking taylor expansion of re in im
5.101 * [backup-simplify]: Simplify re into re
5.101 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.101 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.101 * [taylor]: Taking taylor expansion of im in im
5.102 * [backup-simplify]: Simplify 0 into 0
5.102 * [backup-simplify]: Simplify 1 into 1
5.102 * [backup-simplify]: Simplify (* 1 1) into 1
5.102 * [backup-simplify]: Simplify (/ 1 1) into 1
5.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.102 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.102 * [taylor]: Taking taylor expansion of re in im
5.102 * [backup-simplify]: Simplify re into re
5.103 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.103 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.103 * [backup-simplify]: Simplify (+ 1 0) into 1
5.104 * [backup-simplify]: Simplify (sqrt 1) into 1
5.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.106 * [backup-simplify]: Simplify (+ 0 0) into 0
5.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.107 * [backup-simplify]: Simplify (+ 0 1) into 1
5.107 * [backup-simplify]: Simplify (/ 1 1) into 1
5.108 * [backup-simplify]: Simplify (sqrt 0) into 0
5.109 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.109 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
5.109 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.109 * [taylor]: Taking taylor expansion of 2.0 in im
5.109 * [backup-simplify]: Simplify 2.0 into 2.0
5.110 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.110 * [taylor]: Taking taylor expansion of im in im
5.110 * [backup-simplify]: Simplify 0 into 0
5.110 * [backup-simplify]: Simplify 1 into 1
5.111 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.111 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
5.112 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
5.112 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.112 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.112 * [taylor]: Taking taylor expansion of re in im
5.112 * [backup-simplify]: Simplify re into re
5.112 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.112 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.112 * [taylor]: Taking taylor expansion of im in im
5.112 * [backup-simplify]: Simplify 0 into 0
5.112 * [backup-simplify]: Simplify 1 into 1
5.112 * [backup-simplify]: Simplify (* 1 1) into 1
5.113 * [backup-simplify]: Simplify (/ 1 1) into 1
5.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.113 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.113 * [taylor]: Taking taylor expansion of re in im
5.113 * [backup-simplify]: Simplify re into re
5.113 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.113 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.114 * [backup-simplify]: Simplify (+ 1 0) into 1
5.114 * [backup-simplify]: Simplify (sqrt 1) into 1
5.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.116 * [backup-simplify]: Simplify (+ 0 0) into 0
5.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.117 * [backup-simplify]: Simplify (+ 0 1) into 1
5.118 * [backup-simplify]: Simplify (/ 1 1) into 1
5.118 * [backup-simplify]: Simplify (sqrt 0) into 0
5.120 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.120 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.120 * [taylor]: Taking taylor expansion of 0 in re
5.120 * [backup-simplify]: Simplify 0 into 0
5.120 * [backup-simplify]: Simplify 0 into 0
5.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.124 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.124 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
5.124 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.124 * [taylor]: Taking taylor expansion of +nan.0 in re
5.124 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.124 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.124 * [taylor]: Taking taylor expansion of 2.0 in re
5.124 * [backup-simplify]: Simplify 2.0 into 2.0
5.125 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.127 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.128 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.130 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.130 * [backup-simplify]: Simplify 0 into 0
5.130 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
5.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
5.132 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
5.133 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.137 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.137 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.137 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.137 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.137 * [taylor]: Taking taylor expansion of +nan.0 in re
5.138 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.138 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.138 * [taylor]: Taking taylor expansion of 2.0 in re
5.138 * [backup-simplify]: Simplify 2.0 into 2.0
5.138 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.139 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.139 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.139 * [taylor]: Taking taylor expansion of +nan.0 in re
5.139 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.139 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.139 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.139 * [taylor]: Taking taylor expansion of 2.0 in re
5.139 * [backup-simplify]: Simplify 2.0 into 2.0
5.140 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.141 * [taylor]: Taking taylor expansion of re in re
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify 1 into 1
5.142 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.143 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.145 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.145 * [backup-simplify]: Simplify (- 0) into 0
5.147 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
5.150 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.151 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.152 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.152 * [backup-simplify]: Simplify (- 0) into 0
5.153 * [backup-simplify]: Simplify 0 into 0
5.153 * [backup-simplify]: Simplify 0 into 0
5.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.155 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
5.156 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.157 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
5.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
5.158 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
5.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.163 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
5.163 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
5.163 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
5.163 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.163 * [taylor]: Taking taylor expansion of +nan.0 in re
5.164 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.164 * [taylor]: Taking taylor expansion of 2.0 in re
5.164 * [backup-simplify]: Simplify 2.0 into 2.0
5.164 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.165 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.165 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.165 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
5.165 * [taylor]: Taking taylor expansion of +nan.0 in re
5.165 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.165 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
5.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.165 * [taylor]: Taking taylor expansion of 2.0 in re
5.165 * [backup-simplify]: Simplify 2.0 into 2.0
5.165 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.166 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.166 * [taylor]: Taking taylor expansion of re in re
5.166 * [backup-simplify]: Simplify 0 into 0
5.166 * [backup-simplify]: Simplify 1 into 1
5.167 * [backup-simplify]: Simplify (* 1 1) into 1
5.168 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.168 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.168 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.168 * [taylor]: Taking taylor expansion of +nan.0 in re
5.168 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.168 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.168 * [taylor]: Taking taylor expansion of 2.0 in re
5.168 * [backup-simplify]: Simplify 2.0 into 2.0
5.168 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.169 * [taylor]: Taking taylor expansion of re in re
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 1 into 1
5.170 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.171 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.180 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.182 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.182 * [backup-simplify]: Simplify (- 0) into 0
5.182 * [backup-simplify]: Simplify (+ 0 0) into 0
5.182 * [backup-simplify]: Simplify (- 0) into 0
5.183 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
5.185 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.185 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.188 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
5.189 * * * [progress]: simplifying candidates
5.190 * [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 (* (* im im) 2.0)))
  (exp (sqrt (* (* im im) 2.0)))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (cbrt (sqrt (* (* im im) 2.0)))
  (* (* (sqrt (* (* im im) 2.0)) (sqrt (* (* im im) 2.0))) (sqrt (* (* im im) 2.0)))
  (sqrt (* im im))
  (sqrt 2.0)
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (* im im) 2.0)))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (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)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (- (log (sqrt (* (* im im) 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (sqrt (* (* im im) 2.0)) (sqrt (* (* im im) 2.0))) (sqrt (* (* im im) 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* im im) 2.0) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt (* (* im im) 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt 1))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt 1))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) 1)
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* im im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* im im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* im im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* im im)) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) 1)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt 1))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt 1))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) 1)
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 1)
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) 1)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  im
  re
  (* -1 re)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (* -1 (* (sqrt 2.0) im))
  (- im re)
  0
  (* -2 re)
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
  (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
5.194 * * [simplify]: Extracting # 0 : cost  0
5.194 * * [simplify]: Extracting # 1 : cost  0
5.194 * * [simplify]: Extracting # 2 : cost  0
5.195 * * [simplify]: Extracting # 3 : cost  0
5.195 * * [simplify]: Extracting # 4 : cost  0
5.195 * * [simplify]: Extracting # 5 : cost  0
5.195 * * [simplify]: Extracting # 6 : cost  0
5.195 * * [simplify]: Extracting # 7 : cost  0
5.196 * * [simplify]: Extracting # 8 : cost  0
5.196 * * [simplify]: Extracting # 9 : cost  0
5.196 * * [simplify]: Extracting # 10 : cost  0
5.196 * * [simplify]: Extracting # 11 : cost  0
5.197 * * [simplify]: Extracting # 12 : cost  0
5.197 * * [simplify]: iteration  0 :  195  enodes  (cost  2643 )
5.242 * * [simplify]: Extracting # 0 : cost  0
5.243 * * [simplify]: Extracting # 1 : cost  0
5.243 * * [simplify]: Extracting # 2 : cost  0
5.244 * * [simplify]: Extracting # 3 : cost  0
5.244 * * [simplify]: Extracting # 4 : cost  0
5.245 * * [simplify]: iteration  1 :  393  enodes  (cost  2410 )
5.415 * * [simplify]: Extracting # 0 : cost  0
5.416 * * [simplify]: Extracting # 1 : cost  0
5.417 * * [simplify]: Extracting # 2 : cost  0
5.418 * * [simplify]: Extracting # 3 : cost  0
5.419 * * [simplify]: Extracting # 4 : cost  0
5.420 * * [simplify]: iteration  2 :  1018  enodes  (cost  2314 )
5.987 * * [simplify]: Extracting # 0 : cost  0
5.991 * * [simplify]: Extracting # 1 : cost  0
5.994 * * [simplify]: Extracting # 2 : cost  0
5.997 * * [simplify]: Extracting # 3 : cost  0
6.000 * * [simplify]: Extracting # 4 : cost  0
6.003 * * [simplify]: iteration  3 :  2860  enodes  (cost  2285 )
7.458 * * [simplify]: Extracting # 0 : cost  0
7.471 * * [simplify]: Extracting # 1 : cost  0
7.481 * * [simplify]: Extracting # 2 : cost  0
7.486 * * [simplify]: Extracting # 3 : cost  0
7.491 * * [simplify]: Extracting # 4 : cost  0
7.497 * * [simplify]: iteration done:  5002  enodes  (cost  2279 )
7.498 * [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 (* (* im im) 2.0)))
  (exp (sqrt (* (* im im) 2.0)))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (cbrt (sqrt (* (* im im) 2.0)))
  (pow (sqrt (* (* im im) 2.0)) 3)
  (fabs im)
  (sqrt 2.0)
  1/2
  1/2
  1/2
  (sqrt (sqrt (* (* im im) 2.0)))
  (sqrt (sqrt (* (* im im) 2.0)))
  (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))))
  (- re)
  (* im im)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (* (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im)
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt (* (* im im) 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt (* (* im im) 2.0)) (fabs im))
  im
  re
  (- re)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (- (* (sqrt 2.0) im))
  (- im re)
  0
  (* -2 re)
  (* +nan.0 (+ (* (* (sqrt 2.0) (sqrt 2)) (- re (* re re))) (- (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)))))
  (- (* +nan.0 (- (sqrt 2.0) (* (/ (sqrt 2.0) im) (- re (/ re im))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- (/ +nan.0 im) +nan.0))))
7.499 * * * [progress]: adding candidates to table
7.986 * * [progress]: iteration 3 / 4
7.986 * * * [progress]: picking best candidate
8.010 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
8.010 * * * [progress]: localizing error
8.025 * * * [progress]: generating rewritten candidates
8.025 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
8.039 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
8.081 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
8.091 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
8.189 * * * [progress]: generating series expansions
8.189 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
8.190 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.190 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.190 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.190 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.190 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.190 * [taylor]: Taking taylor expansion of re in im
8.190 * [backup-simplify]: Simplify re into re
8.190 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.190 * [taylor]: Taking taylor expansion of im in im
8.190 * [backup-simplify]: Simplify 0 into 0
8.190 * [backup-simplify]: Simplify 1 into 1
8.190 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.190 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.191 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.191 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.191 * [backup-simplify]: Simplify (+ 0 0) into 0
8.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.192 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.192 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.192 * [taylor]: Taking taylor expansion of re in re
8.192 * [backup-simplify]: Simplify 0 into 0
8.192 * [backup-simplify]: Simplify 1 into 1
8.192 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.192 * [taylor]: Taking taylor expansion of im in re
8.192 * [backup-simplify]: Simplify im into im
8.192 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.192 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.192 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.192 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.193 * [backup-simplify]: Simplify (+ 0 0) into 0
8.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.193 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.193 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.193 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.193 * [taylor]: Taking taylor expansion of re in re
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 1 into 1
8.193 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.193 * [taylor]: Taking taylor expansion of im in re
8.193 * [backup-simplify]: Simplify im into im
8.193 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.193 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.194 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.194 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.194 * [backup-simplify]: Simplify (+ 0 0) into 0
8.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.194 * [taylor]: Taking taylor expansion of im in im
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify 1 into 1
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [taylor]: Taking taylor expansion of 0 in im
8.194 * [backup-simplify]: Simplify 0 into 0
8.195 * [backup-simplify]: Simplify 0 into 0
8.195 * [backup-simplify]: Simplify 1 into 1
8.195 * [backup-simplify]: Simplify (* 1 1) into 1
8.195 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.196 * [backup-simplify]: Simplify (+ 1 0) into 1
8.197 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.197 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.197 * [taylor]: Taking taylor expansion of 1/2 in im
8.197 * [backup-simplify]: Simplify 1/2 into 1/2
8.197 * [taylor]: Taking taylor expansion of im in im
8.197 * [backup-simplify]: Simplify 0 into 0
8.197 * [backup-simplify]: Simplify 1 into 1
8.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.198 * [backup-simplify]: Simplify 0 into 0
8.198 * [backup-simplify]: Simplify 0 into 0
8.198 * [backup-simplify]: Simplify 0 into 0
8.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.200 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.200 * [backup-simplify]: Simplify (+ 0 0) into 0
8.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.200 * [taylor]: Taking taylor expansion of 0 in im
8.200 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify 0 into 0
8.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.201 * [backup-simplify]: Simplify 0 into 0
8.202 * [backup-simplify]: Simplify 0 into 0
8.202 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.202 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.202 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.202 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.202 * [taylor]: Taking taylor expansion of im in im
8.202 * [backup-simplify]: Simplify 0 into 0
8.202 * [backup-simplify]: Simplify 1 into 1
8.203 * [backup-simplify]: Simplify (* 1 1) into 1
8.203 * [backup-simplify]: Simplify (/ 1 1) into 1
8.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.203 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.203 * [taylor]: Taking taylor expansion of re in im
8.203 * [backup-simplify]: Simplify re into re
8.203 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.203 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.204 * [backup-simplify]: Simplify (+ 1 0) into 1
8.204 * [backup-simplify]: Simplify (sqrt 1) into 1
8.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.206 * [backup-simplify]: Simplify (+ 0 0) into 0
8.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.207 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.207 * [taylor]: Taking taylor expansion of im in re
8.207 * [backup-simplify]: Simplify im into im
8.207 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.207 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.207 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.208 * [taylor]: Taking taylor expansion of re in re
8.208 * [backup-simplify]: Simplify 0 into 0
8.208 * [backup-simplify]: Simplify 1 into 1
8.208 * [backup-simplify]: Simplify (* 1 1) into 1
8.208 * [backup-simplify]: Simplify (/ 1 1) into 1
8.209 * [backup-simplify]: Simplify (+ 0 1) into 1
8.209 * [backup-simplify]: Simplify (sqrt 1) into 1
8.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.211 * [backup-simplify]: Simplify (+ 0 0) into 0
8.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.212 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.212 * [taylor]: Taking taylor expansion of im in re
8.212 * [backup-simplify]: Simplify im into im
8.212 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.212 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.212 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.212 * [taylor]: Taking taylor expansion of re in re
8.212 * [backup-simplify]: Simplify 0 into 0
8.212 * [backup-simplify]: Simplify 1 into 1
8.213 * [backup-simplify]: Simplify (* 1 1) into 1
8.213 * [backup-simplify]: Simplify (/ 1 1) into 1
8.214 * [backup-simplify]: Simplify (+ 0 1) into 1
8.214 * [backup-simplify]: Simplify (sqrt 1) into 1
8.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.216 * [backup-simplify]: Simplify (+ 0 0) into 0
8.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.217 * [taylor]: Taking taylor expansion of 1 in im
8.217 * [backup-simplify]: Simplify 1 into 1
8.217 * [taylor]: Taking taylor expansion of 0 in im
8.217 * [backup-simplify]: Simplify 0 into 0
8.217 * [backup-simplify]: Simplify 1 into 1
8.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.219 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.220 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.220 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.220 * [taylor]: Taking taylor expansion of 1/2 in im
8.220 * [backup-simplify]: Simplify 1/2 into 1/2
8.220 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.221 * [taylor]: Taking taylor expansion of im in im
8.221 * [backup-simplify]: Simplify 0 into 0
8.221 * [backup-simplify]: Simplify 1 into 1
8.221 * [backup-simplify]: Simplify (* 1 1) into 1
8.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.227 * [backup-simplify]: Simplify 0 into 0
8.227 * [backup-simplify]: Simplify 0 into 0
8.227 * [backup-simplify]: Simplify 0 into 0
8.227 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.231 * [backup-simplify]: Simplify (+ 0 0) into 0
8.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.231 * [taylor]: Taking taylor expansion of 0 in im
8.231 * [backup-simplify]: Simplify 0 into 0
8.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.233 * [backup-simplify]: Simplify 0 into 0
8.233 * [backup-simplify]: Simplify 0 into 0
8.233 * [backup-simplify]: Simplify 0 into 0
8.233 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.233 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.233 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.233 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.233 * [taylor]: Taking taylor expansion of im in im
8.233 * [backup-simplify]: Simplify 0 into 0
8.233 * [backup-simplify]: Simplify 1 into 1
8.234 * [backup-simplify]: Simplify (* 1 1) into 1
8.234 * [backup-simplify]: Simplify (/ 1 1) into 1
8.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.234 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.234 * [taylor]: Taking taylor expansion of re in im
8.234 * [backup-simplify]: Simplify re into re
8.234 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.234 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.234 * [backup-simplify]: Simplify (+ 1 0) into 1
8.235 * [backup-simplify]: Simplify (sqrt 1) into 1
8.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.236 * [backup-simplify]: Simplify (+ 0 0) into 0
8.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.237 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.237 * [taylor]: Taking taylor expansion of im in re
8.237 * [backup-simplify]: Simplify im into im
8.237 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.237 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.237 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.237 * [taylor]: Taking taylor expansion of re in re
8.237 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify 1 into 1
8.237 * [backup-simplify]: Simplify (* 1 1) into 1
8.237 * [backup-simplify]: Simplify (/ 1 1) into 1
8.238 * [backup-simplify]: Simplify (+ 0 1) into 1
8.238 * [backup-simplify]: Simplify (sqrt 1) into 1
8.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.239 * [backup-simplify]: Simplify (+ 0 0) into 0
8.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.239 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.239 * [taylor]: Taking taylor expansion of im in re
8.239 * [backup-simplify]: Simplify im into im
8.240 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.240 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.240 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.240 * [taylor]: Taking taylor expansion of re in re
8.240 * [backup-simplify]: Simplify 0 into 0
8.240 * [backup-simplify]: Simplify 1 into 1
8.240 * [backup-simplify]: Simplify (* 1 1) into 1
8.240 * [backup-simplify]: Simplify (/ 1 1) into 1
8.240 * [backup-simplify]: Simplify (+ 0 1) into 1
8.241 * [backup-simplify]: Simplify (sqrt 1) into 1
8.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.242 * [backup-simplify]: Simplify (+ 0 0) into 0
8.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.242 * [taylor]: Taking taylor expansion of 1 in im
8.242 * [backup-simplify]: Simplify 1 into 1
8.242 * [taylor]: Taking taylor expansion of 0 in im
8.242 * [backup-simplify]: Simplify 0 into 0
8.242 * [backup-simplify]: Simplify 1 into 1
8.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.244 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.244 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.244 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.244 * [taylor]: Taking taylor expansion of 1/2 in im
8.245 * [backup-simplify]: Simplify 1/2 into 1/2
8.245 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.245 * [taylor]: Taking taylor expansion of im in im
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify 1 into 1
8.245 * [backup-simplify]: Simplify (* 1 1) into 1
8.245 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.246 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.248 * [backup-simplify]: Simplify (+ 0 0) into 0
8.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.248 * [taylor]: Taking taylor expansion of 0 in im
8.248 * [backup-simplify]: Simplify 0 into 0
8.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.249 * [backup-simplify]: Simplify 0 into 0
8.249 * [backup-simplify]: Simplify 0 into 0
8.249 * [backup-simplify]: Simplify 0 into 0
8.249 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.249 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
8.250 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
8.250 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
8.250 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
8.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.250 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.250 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.250 * [taylor]: Taking taylor expansion of re in im
8.250 * [backup-simplify]: Simplify re into re
8.250 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.250 * [taylor]: Taking taylor expansion of im in im
8.250 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify 1 into 1
8.250 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.250 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.250 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.250 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.250 * [backup-simplify]: Simplify (+ 0 0) into 0
8.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.251 * [taylor]: Taking taylor expansion of re in im
8.251 * [backup-simplify]: Simplify re into re
8.251 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.251 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.251 * [taylor]: Taking taylor expansion of re in re
8.251 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify 1 into 1
8.251 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.251 * [taylor]: Taking taylor expansion of im in re
8.251 * [backup-simplify]: Simplify im into im
8.251 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.251 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.251 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.251 * [backup-simplify]: Simplify (+ 0 0) into 0
8.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.251 * [taylor]: Taking taylor expansion of re in re
8.251 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify 1 into 1
8.251 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.251 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.252 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.252 * [taylor]: Taking taylor expansion of re in re
8.252 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify 1 into 1
8.252 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.252 * [taylor]: Taking taylor expansion of im in re
8.252 * [backup-simplify]: Simplify im into im
8.252 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.252 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.252 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.252 * [backup-simplify]: Simplify (+ 0 0) into 0
8.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.252 * [taylor]: Taking taylor expansion of re in re
8.252 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify 1 into 1
8.253 * [backup-simplify]: Simplify (- 0) into 0
8.253 * [backup-simplify]: Simplify (+ im 0) into im
8.253 * [taylor]: Taking taylor expansion of im in im
8.253 * [backup-simplify]: Simplify 0 into 0
8.253 * [backup-simplify]: Simplify 1 into 1
8.253 * [backup-simplify]: Simplify 0 into 0
8.253 * [backup-simplify]: Simplify (- 1) into -1
8.253 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.253 * [taylor]: Taking taylor expansion of -1 in im
8.253 * [backup-simplify]: Simplify -1 into -1
8.253 * [backup-simplify]: Simplify -1 into -1
8.253 * [backup-simplify]: Simplify 1 into 1
8.254 * [backup-simplify]: Simplify (* 1 1) into 1
8.254 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.254 * [backup-simplify]: Simplify (+ 1 0) into 1
8.255 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.255 * [backup-simplify]: Simplify (- 0) into 0
8.255 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
8.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.255 * [taylor]: Taking taylor expansion of 1/2 in im
8.255 * [backup-simplify]: Simplify 1/2 into 1/2
8.255 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.255 * [taylor]: Taking taylor expansion of im in im
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify 1 into 1
8.255 * [backup-simplify]: Simplify (/ 1 1) into 1
8.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.256 * [backup-simplify]: Simplify 0 into 0
8.256 * [backup-simplify]: Simplify 0 into 0
8.256 * [backup-simplify]: Simplify 0 into 0
8.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.257 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.257 * [backup-simplify]: Simplify (+ 0 0) into 0
8.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.258 * [backup-simplify]: Simplify (- 0) into 0
8.258 * [backup-simplify]: Simplify (+ 0 0) into 0
8.258 * [taylor]: Taking taylor expansion of 0 in im
8.258 * [backup-simplify]: Simplify 0 into 0
8.258 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
8.259 * [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))
8.260 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
8.260 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.260 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.260 * [taylor]: Taking taylor expansion of im in im
8.260 * [backup-simplify]: Simplify 0 into 0
8.260 * [backup-simplify]: Simplify 1 into 1
8.260 * [backup-simplify]: Simplify (* 1 1) into 1
8.260 * [backup-simplify]: Simplify (/ 1 1) into 1
8.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.260 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.260 * [taylor]: Taking taylor expansion of re in im
8.260 * [backup-simplify]: Simplify re into re
8.260 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.260 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.261 * [backup-simplify]: Simplify (+ 1 0) into 1
8.261 * [backup-simplify]: Simplify (sqrt 1) into 1
8.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.262 * [backup-simplify]: Simplify (+ 0 0) into 0
8.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.263 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.263 * [taylor]: Taking taylor expansion of re in im
8.263 * [backup-simplify]: Simplify re into re
8.263 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.263 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.263 * [taylor]: Taking taylor expansion of im in re
8.263 * [backup-simplify]: Simplify im into im
8.263 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.263 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.263 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.263 * [taylor]: Taking taylor expansion of re in re
8.263 * [backup-simplify]: Simplify 0 into 0
8.263 * [backup-simplify]: Simplify 1 into 1
8.263 * [backup-simplify]: Simplify (* 1 1) into 1
8.263 * [backup-simplify]: Simplify (/ 1 1) into 1
8.264 * [backup-simplify]: Simplify (+ 0 1) into 1
8.264 * [backup-simplify]: Simplify (sqrt 1) into 1
8.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.266 * [backup-simplify]: Simplify (+ 0 0) into 0
8.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.267 * [taylor]: Taking taylor expansion of re in re
8.267 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify 1 into 1
8.267 * [backup-simplify]: Simplify (/ 1 1) into 1
8.267 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.267 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.267 * [taylor]: Taking taylor expansion of im in re
8.267 * [backup-simplify]: Simplify im into im
8.267 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.268 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.268 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.268 * [taylor]: Taking taylor expansion of re in re
8.268 * [backup-simplify]: Simplify 0 into 0
8.268 * [backup-simplify]: Simplify 1 into 1
8.268 * [backup-simplify]: Simplify (* 1 1) into 1
8.268 * [backup-simplify]: Simplify (/ 1 1) into 1
8.269 * [backup-simplify]: Simplify (+ 0 1) into 1
8.269 * [backup-simplify]: Simplify (sqrt 1) into 1
8.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.271 * [backup-simplify]: Simplify (+ 0 0) into 0
8.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.272 * [taylor]: Taking taylor expansion of re in re
8.272 * [backup-simplify]: Simplify 0 into 0
8.272 * [backup-simplify]: Simplify 1 into 1
8.272 * [backup-simplify]: Simplify (/ 1 1) into 1
8.273 * [backup-simplify]: Simplify (- 1) into -1
8.273 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.273 * [taylor]: Taking taylor expansion of 0 in im
8.273 * [backup-simplify]: Simplify 0 into 0
8.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.274 * [backup-simplify]: Simplify (- 0) into 0
8.275 * [backup-simplify]: Simplify (+ 0 0) into 0
8.275 * [taylor]: Taking taylor expansion of 0 in im
8.275 * [backup-simplify]: Simplify 0 into 0
8.275 * [backup-simplify]: Simplify 0 into 0
8.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.277 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.278 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.279 * [backup-simplify]: Simplify (- 0) into 0
8.279 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.279 * [taylor]: Taking taylor expansion of 1/2 in im
8.280 * [backup-simplify]: Simplify 1/2 into 1/2
8.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.280 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.280 * [taylor]: Taking taylor expansion of im in im
8.280 * [backup-simplify]: Simplify 0 into 0
8.280 * [backup-simplify]: Simplify 1 into 1
8.280 * [backup-simplify]: Simplify (* 1 1) into 1
8.281 * [backup-simplify]: Simplify (/ 1 1) into 1
8.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.283 * [backup-simplify]: Simplify 0 into 0
8.283 * [backup-simplify]: Simplify 0 into 0
8.283 * [backup-simplify]: Simplify 0 into 0
8.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.286 * [backup-simplify]: Simplify (+ 0 0) into 0
8.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.288 * [backup-simplify]: Simplify (- 0) into 0
8.289 * [backup-simplify]: Simplify (+ 0 0) into 0
8.289 * [taylor]: Taking taylor expansion of 0 in im
8.289 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.292 * [backup-simplify]: Simplify 0 into 0
8.292 * [backup-simplify]: Simplify 0 into 0
8.292 * [backup-simplify]: Simplify 0 into 0
8.293 * [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)))))
8.293 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
8.293 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.293 * [taylor]: Taking taylor expansion of re in im
8.293 * [backup-simplify]: Simplify re into re
8.293 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.293 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.293 * [taylor]: Taking taylor expansion of im in im
8.293 * [backup-simplify]: Simplify 0 into 0
8.293 * [backup-simplify]: Simplify 1 into 1
8.294 * [backup-simplify]: Simplify (* 1 1) into 1
8.294 * [backup-simplify]: Simplify (/ 1 1) into 1
8.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.294 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.294 * [taylor]: Taking taylor expansion of re in im
8.294 * [backup-simplify]: Simplify re into re
8.294 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.294 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.295 * [backup-simplify]: Simplify (+ 1 0) into 1
8.295 * [backup-simplify]: Simplify (sqrt 1) into 1
8.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.297 * [backup-simplify]: Simplify (+ 0 0) into 0
8.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.298 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.298 * [taylor]: Taking taylor expansion of re in re
8.298 * [backup-simplify]: Simplify 0 into 0
8.298 * [backup-simplify]: Simplify 1 into 1
8.299 * [backup-simplify]: Simplify (/ 1 1) into 1
8.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.299 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.299 * [taylor]: Taking taylor expansion of im in re
8.299 * [backup-simplify]: Simplify im into im
8.299 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.299 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.299 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.299 * [taylor]: Taking taylor expansion of re in re
8.299 * [backup-simplify]: Simplify 0 into 0
8.299 * [backup-simplify]: Simplify 1 into 1
8.300 * [backup-simplify]: Simplify (* 1 1) into 1
8.300 * [backup-simplify]: Simplify (/ 1 1) into 1
8.301 * [backup-simplify]: Simplify (+ 0 1) into 1
8.301 * [backup-simplify]: Simplify (sqrt 1) into 1
8.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.303 * [backup-simplify]: Simplify (+ 0 0) into 0
8.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.304 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.304 * [taylor]: Taking taylor expansion of re in re
8.304 * [backup-simplify]: Simplify 0 into 0
8.304 * [backup-simplify]: Simplify 1 into 1
8.304 * [backup-simplify]: Simplify (/ 1 1) into 1
8.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.305 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.305 * [taylor]: Taking taylor expansion of im in re
8.305 * [backup-simplify]: Simplify im into im
8.305 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.305 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.305 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.305 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.305 * [taylor]: Taking taylor expansion of re in re
8.305 * [backup-simplify]: Simplify 0 into 0
8.305 * [backup-simplify]: Simplify 1 into 1
8.306 * [backup-simplify]: Simplify (* 1 1) into 1
8.306 * [backup-simplify]: Simplify (/ 1 1) into 1
8.306 * [backup-simplify]: Simplify (+ 0 1) into 1
8.307 * [backup-simplify]: Simplify (sqrt 1) into 1
8.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.309 * [backup-simplify]: Simplify (+ 0 0) into 0
8.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.310 * [backup-simplify]: Simplify (+ 1 1) into 2
8.310 * [taylor]: Taking taylor expansion of 2 in im
8.310 * [backup-simplify]: Simplify 2 into 2
8.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.311 * [backup-simplify]: Simplify (+ 0 0) into 0
8.311 * [taylor]: Taking taylor expansion of 0 in im
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 2 into 2
8.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.314 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.316 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.316 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.316 * [taylor]: Taking taylor expansion of 1/2 in im
8.316 * [backup-simplify]: Simplify 1/2 into 1/2
8.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.316 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.316 * [taylor]: Taking taylor expansion of im in im
8.316 * [backup-simplify]: Simplify 0 into 0
8.316 * [backup-simplify]: Simplify 1 into 1
8.316 * [backup-simplify]: Simplify (* 1 1) into 1
8.317 * [backup-simplify]: Simplify (/ 1 1) into 1
8.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.319 * [backup-simplify]: Simplify 0 into 0
8.319 * [backup-simplify]: Simplify 0 into 0
8.319 * [backup-simplify]: Simplify 0 into 0
8.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.323 * [backup-simplify]: Simplify (+ 0 0) into 0
8.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.324 * [backup-simplify]: Simplify (+ 0 0) into 0
8.324 * [taylor]: Taking taylor expansion of 0 in im
8.324 * [backup-simplify]: Simplify 0 into 0
8.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.327 * [backup-simplify]: Simplify 0 into 0
8.327 * [backup-simplify]: Simplify 0 into 0
8.327 * [backup-simplify]: Simplify 0 into 0
8.327 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
8.327 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
8.328 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.328 * [approximate]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in (im) around 0
8.328 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.328 * [taylor]: Taking taylor expansion of (fabs im) in im
8.328 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.328 * [taylor]: Taking taylor expansion of 2.0 in im
8.328 * [backup-simplify]: Simplify 2.0 into 2.0
8.329 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.329 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.329 * [taylor]: Taking taylor expansion of (fabs im) in im
8.330 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.330 * [taylor]: Taking taylor expansion of 2.0 in im
8.330 * [backup-simplify]: Simplify 2.0 into 2.0
8.330 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.331 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.332 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.333 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0
8.333 * [backup-simplify]: Simplify 0 into 0
8.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.335 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.335 * [backup-simplify]: Simplify 0 into 0
8.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.337 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
8.337 * [backup-simplify]: Simplify 0 into 0
8.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.340 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
8.340 * [backup-simplify]: Simplify 0 into 0
8.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.343 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
8.343 * [backup-simplify]: Simplify 0 into 0
8.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.346 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0
8.346 * [backup-simplify]: Simplify 0 into 0
8.346 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.347 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.347 * [approximate]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in (im) around 0
8.347 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.347 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.347 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.347 * [taylor]: Taking taylor expansion of 2.0 in im
8.347 * [backup-simplify]: Simplify 2.0 into 2.0
8.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.349 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.349 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.349 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.349 * [taylor]: Taking taylor expansion of 2.0 in im
8.349 * [backup-simplify]: Simplify 2.0 into 2.0
8.349 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.351 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.351 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.352 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0
8.352 * [backup-simplify]: Simplify 0 into 0
8.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.354 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.354 * [backup-simplify]: Simplify 0 into 0
8.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.356 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
8.356 * [backup-simplify]: Simplify 0 into 0
8.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.358 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
8.358 * [backup-simplify]: Simplify 0 into 0
8.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.362 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
8.362 * [backup-simplify]: Simplify 0 into 0
8.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.364 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0
8.364 * [backup-simplify]: Simplify 0 into 0
8.364 * [backup-simplify]: Simplify (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.365 * [backup-simplify]: Simplify (* (fabs (/ 1 (- im))) (sqrt 2.0)) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.365 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in (im) around 0
8.365 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
8.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.365 * [taylor]: Taking taylor expansion of 2.0 in im
8.365 * [backup-simplify]: Simplify 2.0 into 2.0
8.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.366 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.366 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.366 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
8.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.366 * [taylor]: Taking taylor expansion of 2.0 in im
8.366 * [backup-simplify]: Simplify 2.0 into 2.0
8.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.366 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.367 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.367 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.367 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.368 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.368 * [backup-simplify]: Simplify 0 into 0
8.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.369 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.369 * [backup-simplify]: Simplify 0 into 0
8.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.371 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0
8.371 * [backup-simplify]: Simplify 0 into 0
8.371 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.372 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))))) into 0
8.372 * [backup-simplify]: Simplify 0 into 0
8.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.374 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))))) into 0
8.374 * [backup-simplify]: Simplify 0 into 0
8.375 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.377 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))))))) into 0
8.377 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))) into (* (fabs im) (sqrt 2.0))
8.377 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
8.378 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
8.378 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0
8.378 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
8.378 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re
8.378 * [taylor]: Taking taylor expansion of (fabs im) in re
8.378 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.378 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.378 * [taylor]: Taking taylor expansion of 2.0 in re
8.378 * [backup-simplify]: Simplify 2.0 into 2.0
8.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
8.379 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
8.379 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.379 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.379 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.379 * [taylor]: Taking taylor expansion of re in re
8.379 * [backup-simplify]: Simplify 0 into 0
8.379 * [backup-simplify]: Simplify 1 into 1
8.379 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.379 * [taylor]: Taking taylor expansion of im in re
8.379 * [backup-simplify]: Simplify im into im
8.379 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.379 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.379 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.379 * [backup-simplify]: Simplify (+ 0 0) into 0
8.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.380 * [taylor]: Taking taylor expansion of re in re
8.380 * [backup-simplify]: Simplify 0 into 0
8.380 * [backup-simplify]: Simplify 1 into 1
8.380 * [backup-simplify]: Simplify (- 0) into 0
8.380 * [backup-simplify]: Simplify (+ im 0) into im
8.380 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.380 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
8.380 * [backup-simplify]: Simplify (- 1) into -1
8.381 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
8.381 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
8.381 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
8.381 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.381 * [taylor]: Taking taylor expansion of (fabs im) in im
8.381 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.381 * [taylor]: Taking taylor expansion of 2.0 in im
8.381 * [backup-simplify]: Simplify 2.0 into 2.0
8.381 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
8.382 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
8.382 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
8.382 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.382 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.382 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.382 * [taylor]: Taking taylor expansion of re in im
8.382 * [backup-simplify]: Simplify re into re
8.382 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.382 * [taylor]: Taking taylor expansion of im in im
8.382 * [backup-simplify]: Simplify 0 into 0
8.382 * [backup-simplify]: Simplify 1 into 1
8.382 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.382 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.382 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.382 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.382 * [backup-simplify]: Simplify (+ 0 0) into 0
8.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.383 * [taylor]: Taking taylor expansion of re in im
8.383 * [backup-simplify]: Simplify re into re
8.383 * [backup-simplify]: Simplify (- re) into (- re)
8.383 * [backup-simplify]: Simplify (+ re (- re)) into 0
8.383 * [backup-simplify]: Simplify (- 0) into 0
8.383 * [backup-simplify]: Simplify (+ 0 0) into 0
8.383 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.384 * [backup-simplify]: Simplify (* 1 1) into 1
8.384 * [backup-simplify]: Simplify (+ 0 1) into 1
8.385 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
8.385 * [backup-simplify]: Simplify (- 0) into 0
8.385 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
8.386 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
8.386 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
8.386 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
8.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.388 * [backup-simplify]: Simplify (+ 0 0) into 0
8.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
8.388 * [backup-simplify]: Simplify (- 0) into 0
8.388 * [backup-simplify]: Simplify (+ 0 0) into 0
8.389 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
8.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
8.389 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
8.389 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.389 * [taylor]: Taking taylor expansion of (fabs im) in im
8.389 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.389 * [taylor]: Taking taylor expansion of 2.0 in im
8.389 * [backup-simplify]: Simplify 2.0 into 2.0
8.389 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
8.390 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
8.390 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
8.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.390 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.390 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.391 * [taylor]: Taking taylor expansion of re in im
8.391 * [backup-simplify]: Simplify re into re
8.391 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.391 * [taylor]: Taking taylor expansion of im in im
8.391 * [backup-simplify]: Simplify 0 into 0
8.391 * [backup-simplify]: Simplify 1 into 1
8.391 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.391 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.391 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.391 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.392 * [backup-simplify]: Simplify (+ 0 0) into 0
8.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.392 * [taylor]: Taking taylor expansion of re in im
8.392 * [backup-simplify]: Simplify re into re
8.392 * [backup-simplify]: Simplify (- re) into (- re)
8.392 * [backup-simplify]: Simplify (+ re (- re)) into 0
8.392 * [backup-simplify]: Simplify (- 0) into 0
8.393 * [backup-simplify]: Simplify (+ 0 0) into 0
8.393 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.394 * [backup-simplify]: Simplify (* 1 1) into 1
8.394 * [backup-simplify]: Simplify (+ 0 1) into 1
8.395 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
8.395 * [backup-simplify]: Simplify (- 0) into 0
8.395 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
8.395 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
8.395 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
8.396 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
8.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.397 * [backup-simplify]: Simplify (+ 0 0) into 0
8.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
8.398 * [backup-simplify]: Simplify (- 0) into 0
8.398 * [backup-simplify]: Simplify (+ 0 0) into 0
8.398 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
8.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
8.399 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.400 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) (* (sqrt re) (sqrt 2))) into (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re))
8.400 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re)) in re
8.400 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 2))) in re
8.400 * [taylor]: Taking taylor expansion of (fabs im) in re
8.400 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.400 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
8.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.400 * [taylor]: Taking taylor expansion of 2.0 in re
8.400 * [backup-simplify]: Simplify 2.0 into 2.0
8.400 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.401 * [taylor]: Taking taylor expansion of (sqrt 2) in re
8.401 * [taylor]: Taking taylor expansion of 2 in re
8.401 * [backup-simplify]: Simplify 2 into 2
8.401 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.402 * [taylor]: Taking taylor expansion of (sqrt re) in re
8.402 * [taylor]: Taking taylor expansion of re in re
8.402 * [backup-simplify]: Simplify 0 into 0
8.402 * [backup-simplify]: Simplify 1 into 1
8.402 * [backup-simplify]: Simplify (sqrt 0) into 0
8.403 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.404 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
8.404 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt 2.0) (sqrt 2))) into (* (fabs im) (* (sqrt 2.0) (sqrt 2)))
8.405 * [backup-simplify]: Simplify (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) 0) into 0
8.405 * [backup-simplify]: Simplify 0 into 0
8.406 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0
8.406 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) 0) (* 0 (* (sqrt re) (sqrt 2)))) into 0
8.406 * [taylor]: Taking taylor expansion of 0 in re
8.406 * [backup-simplify]: Simplify 0 into 0
8.406 * [backup-simplify]: Simplify 0 into 0
8.407 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
8.408 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt 2.0) (sqrt 2)))) into 0
8.409 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.410 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.410 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
8.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.411 * [backup-simplify]: Simplify (+ 0 0) into 0
8.412 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
8.412 * [backup-simplify]: Simplify (- 0) into 0
8.412 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
8.412 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
8.413 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))
8.414 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.414 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.416 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2))))) into (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
8.416 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
8.416 * [taylor]: Taking taylor expansion of 1/4 in re
8.416 * [backup-simplify]: Simplify 1/4 into 1/4
8.416 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
8.416 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) in re
8.416 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re
8.416 * [taylor]: Taking taylor expansion of (fabs im) in re
8.416 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.416 * [taylor]: Taking taylor expansion of 2.0 in re
8.416 * [backup-simplify]: Simplify 2.0 into 2.0
8.416 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.417 * [taylor]: Taking taylor expansion of (sqrt 2) in re
8.417 * [taylor]: Taking taylor expansion of 2 in re
8.417 * [backup-simplify]: Simplify 2 into 2
8.417 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.418 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.418 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))
8.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
8.418 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
8.418 * [taylor]: Taking taylor expansion of (pow re 3) in re
8.418 * [taylor]: Taking taylor expansion of re in re
8.418 * [backup-simplify]: Simplify 0 into 0
8.418 * [backup-simplify]: Simplify 1 into 1
8.419 * [backup-simplify]: Simplify (* 1 1) into 1
8.419 * [backup-simplify]: Simplify (* 1 1) into 1
8.419 * [backup-simplify]: Simplify (/ 1 1) into 1
8.419 * [backup-simplify]: Simplify (sqrt 0) into 0
8.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.426 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.426 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0
8.428 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
8.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.430 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.431 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
8.434 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
8.436 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.437 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.438 * [backup-simplify]: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) 0) into 0
8.440 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.441 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.441 * [backup-simplify]: Simplify 0 into 0
8.444 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
8.447 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.448 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
8.449 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (sqrt 2))))) into 0
8.452 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.453 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.458 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* (pow re 2) (/ 1 im))) (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) (* 1 im)) (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* re (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im)))))))
8.459 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))
8.460 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0
8.460 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
8.460 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.460 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.460 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.460 * [taylor]: Taking taylor expansion of 2.0 in re
8.460 * [backup-simplify]: Simplify 2.0 into 2.0
8.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.461 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
8.461 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
8.461 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.461 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.461 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.461 * [taylor]: Taking taylor expansion of im in re
8.461 * [backup-simplify]: Simplify im into im
8.461 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.462 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.462 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.462 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.462 * [taylor]: Taking taylor expansion of re in re
8.462 * [backup-simplify]: Simplify 0 into 0
8.462 * [backup-simplify]: Simplify 1 into 1
8.462 * [backup-simplify]: Simplify (* 1 1) into 1
8.463 * [backup-simplify]: Simplify (/ 1 1) into 1
8.463 * [backup-simplify]: Simplify (+ 0 1) into 1
8.463 * [backup-simplify]: Simplify (sqrt 1) into 1
8.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.465 * [backup-simplify]: Simplify (+ 0 0) into 0
8.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.466 * [taylor]: Taking taylor expansion of re in re
8.466 * [backup-simplify]: Simplify 0 into 0
8.466 * [backup-simplify]: Simplify 1 into 1
8.467 * [backup-simplify]: Simplify (/ 1 1) into 1
8.467 * [backup-simplify]: Simplify (- 1) into -1
8.468 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.469 * [backup-simplify]: Simplify (- 0) into 0
8.469 * [backup-simplify]: Simplify (+ 0 0) into 0
8.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.471 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.473 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.474 * [backup-simplify]: Simplify (- 0) into 0
8.474 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.474 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
8.475 * [backup-simplify]: Simplify (sqrt 0) into 0
8.475 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
8.475 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
8.475 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.475 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.476 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.476 * [taylor]: Taking taylor expansion of 2.0 in im
8.476 * [backup-simplify]: Simplify 2.0 into 2.0
8.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
8.477 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
8.477 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.477 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.477 * [taylor]: Taking taylor expansion of im in im
8.477 * [backup-simplify]: Simplify 0 into 0
8.477 * [backup-simplify]: Simplify 1 into 1
8.478 * [backup-simplify]: Simplify (* 1 1) into 1
8.478 * [backup-simplify]: Simplify (/ 1 1) into 1
8.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.478 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.478 * [taylor]: Taking taylor expansion of re in im
8.478 * [backup-simplify]: Simplify re into re
8.478 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.478 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.479 * [backup-simplify]: Simplify (+ 1 0) into 1
8.479 * [backup-simplify]: Simplify (sqrt 1) into 1
8.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.481 * [backup-simplify]: Simplify (+ 0 0) into 0
8.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.482 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.482 * [taylor]: Taking taylor expansion of re in im
8.482 * [backup-simplify]: Simplify re into re
8.482 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.482 * [backup-simplify]: Simplify (+ 1 0) into 1
8.483 * [backup-simplify]: Simplify (/ 1 1) into 1
8.483 * [backup-simplify]: Simplify (sqrt 0) into 0
8.485 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.485 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
8.485 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.485 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.485 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.485 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.485 * [taylor]: Taking taylor expansion of 2.0 in im
8.485 * [backup-simplify]: Simplify 2.0 into 2.0
8.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
8.491 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
8.491 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.491 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.491 * [taylor]: Taking taylor expansion of im in im
8.491 * [backup-simplify]: Simplify 0 into 0
8.491 * [backup-simplify]: Simplify 1 into 1
8.491 * [backup-simplify]: Simplify (* 1 1) into 1
8.492 * [backup-simplify]: Simplify (/ 1 1) into 1
8.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.492 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.492 * [taylor]: Taking taylor expansion of re in im
8.492 * [backup-simplify]: Simplify re into re
8.492 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.492 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.493 * [backup-simplify]: Simplify (+ 1 0) into 1
8.493 * [backup-simplify]: Simplify (sqrt 1) into 1
8.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.495 * [backup-simplify]: Simplify (+ 0 0) into 0
8.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.496 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.496 * [taylor]: Taking taylor expansion of re in im
8.496 * [backup-simplify]: Simplify re into re
8.496 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.496 * [backup-simplify]: Simplify (+ 1 0) into 1
8.497 * [backup-simplify]: Simplify (/ 1 1) into 1
8.497 * [backup-simplify]: Simplify (sqrt 0) into 0
8.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.499 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.500 * [backup-simplify]: Simplify (* (* (fabs (/ 1 im)) (sqrt 2.0)) 0) into 0
8.500 * [taylor]: Taking taylor expansion of 0 in re
8.500 * [backup-simplify]: Simplify 0 into 0
8.500 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0
8.502 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.502 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re
8.502 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
8.502 * [taylor]: Taking taylor expansion of +nan.0 in re
8.502 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.502 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.502 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.502 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.502 * [taylor]: Taking taylor expansion of 2.0 in re
8.502 * [backup-simplify]: Simplify 2.0 into 2.0
8.502 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.503 * [backup-simplify]: Simplify 0 into 0
8.503 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
8.503 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
8.505 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
8.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.507 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.509 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))
8.509 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re
8.509 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re
8.509 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
8.509 * [taylor]: Taking taylor expansion of +nan.0 in re
8.509 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.509 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.509 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.509 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.509 * [taylor]: Taking taylor expansion of 2.0 in re
8.509 * [backup-simplify]: Simplify 2.0 into 2.0
8.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.510 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re
8.510 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re
8.510 * [taylor]: Taking taylor expansion of +nan.0 in re
8.510 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.510 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re
8.510 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.510 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.510 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.511 * [taylor]: Taking taylor expansion of 2.0 in re
8.511 * [backup-simplify]: Simplify 2.0 into 2.0
8.511 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.512 * [taylor]: Taking taylor expansion of re in re
8.512 * [backup-simplify]: Simplify 0 into 0
8.512 * [backup-simplify]: Simplify 1 into 1
8.512 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.513 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.513 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
8.514 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.514 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.515 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.516 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.516 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.517 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
8.517 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.518 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.518 * [backup-simplify]: Simplify 0 into 0
8.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.520 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
8.521 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
8.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.522 * [backup-simplify]: Simplify (- 0) into 0
8.522 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
8.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
8.523 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
8.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.526 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
8.528 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))))
8.528 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re
8.528 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re
8.528 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
8.528 * [taylor]: Taking taylor expansion of +nan.0 in re
8.528 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.528 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.529 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.529 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.529 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.529 * [taylor]: Taking taylor expansion of 2.0 in re
8.529 * [backup-simplify]: Simplify 2.0 into 2.0
8.529 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.530 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re
8.530 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re
8.530 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re
8.530 * [taylor]: Taking taylor expansion of +nan.0 in re
8.530 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.530 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re
8.530 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.530 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.530 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.530 * [taylor]: Taking taylor expansion of 2.0 in re
8.530 * [backup-simplify]: Simplify 2.0 into 2.0
8.531 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.532 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.532 * [taylor]: Taking taylor expansion of re in re
8.532 * [backup-simplify]: Simplify 0 into 0
8.532 * [backup-simplify]: Simplify 1 into 1
8.532 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.533 * [backup-simplify]: Simplify (* 1 1) into 1
8.533 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.533 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re
8.533 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re
8.533 * [taylor]: Taking taylor expansion of +nan.0 in re
8.533 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.533 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re
8.533 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.533 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.533 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.533 * [taylor]: Taking taylor expansion of 2.0 in re
8.534 * [backup-simplify]: Simplify 2.0 into 2.0
8.534 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.535 * [taylor]: Taking taylor expansion of re in re
8.535 * [backup-simplify]: Simplify 0 into 0
8.535 * [backup-simplify]: Simplify 1 into 1
8.535 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.536 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.537 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0
8.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0
8.539 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0
8.540 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
8.541 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.541 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.542 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.542 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.543 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.543 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.546 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 3))) (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* 1 (/ 1 im))) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3))))))))
8.548 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 (- im))) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))
8.548 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0
8.548 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
8.548 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.548 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.548 * [taylor]: Taking taylor expansion of 2.0 in re
8.548 * [backup-simplify]: Simplify 2.0 into 2.0
8.548 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.549 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.549 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.549 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
8.549 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
8.549 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.549 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.549 * [taylor]: Taking taylor expansion of re in re
8.549 * [backup-simplify]: Simplify 0 into 0
8.549 * [backup-simplify]: Simplify 1 into 1
8.550 * [backup-simplify]: Simplify (/ 1 1) into 1
8.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.550 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.550 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.550 * [taylor]: Taking taylor expansion of im in re
8.550 * [backup-simplify]: Simplify im into im
8.550 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.550 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.550 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.550 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.550 * [taylor]: Taking taylor expansion of re in re
8.550 * [backup-simplify]: Simplify 0 into 0
8.550 * [backup-simplify]: Simplify 1 into 1
8.551 * [backup-simplify]: Simplify (* 1 1) into 1
8.551 * [backup-simplify]: Simplify (/ 1 1) into 1
8.551 * [backup-simplify]: Simplify (+ 0 1) into 1
8.552 * [backup-simplify]: Simplify (sqrt 1) into 1
8.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.554 * [backup-simplify]: Simplify (+ 0 0) into 0
8.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.555 * [backup-simplify]: Simplify (+ 1 1) into 2
8.555 * [backup-simplify]: Simplify (/ 1 2) into 1/2
8.556 * [backup-simplify]: Simplify (sqrt 0) into 0
8.557 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
8.557 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
8.557 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
8.557 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.557 * [taylor]: Taking taylor expansion of 2.0 in im
8.557 * [backup-simplify]: Simplify 2.0 into 2.0
8.557 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.557 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.557 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
8.557 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
8.558 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.558 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.558 * [taylor]: Taking taylor expansion of re in im
8.558 * [backup-simplify]: Simplify re into re
8.558 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.558 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.558 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.558 * [taylor]: Taking taylor expansion of im in im
8.558 * [backup-simplify]: Simplify 0 into 0
8.558 * [backup-simplify]: Simplify 1 into 1
8.558 * [backup-simplify]: Simplify (* 1 1) into 1
8.558 * [backup-simplify]: Simplify (/ 1 1) into 1
8.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.558 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.558 * [taylor]: Taking taylor expansion of re in im
8.558 * [backup-simplify]: Simplify re into re
8.558 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.558 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.559 * [backup-simplify]: Simplify (+ 1 0) into 1
8.559 * [backup-simplify]: Simplify (sqrt 1) into 1
8.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.560 * [backup-simplify]: Simplify (+ 0 0) into 0
8.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.561 * [backup-simplify]: Simplify (+ 0 1) into 1
8.561 * [backup-simplify]: Simplify (/ 1 1) into 1
8.562 * [backup-simplify]: Simplify (sqrt 0) into 0
8.562 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.562 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
8.562 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
8.562 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.563 * [taylor]: Taking taylor expansion of 2.0 in im
8.563 * [backup-simplify]: Simplify 2.0 into 2.0
8.563 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.563 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.563 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
8.563 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
8.563 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.563 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.563 * [taylor]: Taking taylor expansion of re in im
8.563 * [backup-simplify]: Simplify re into re
8.563 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.564 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.564 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.564 * [taylor]: Taking taylor expansion of im in im
8.564 * [backup-simplify]: Simplify 0 into 0
8.564 * [backup-simplify]: Simplify 1 into 1
8.564 * [backup-simplify]: Simplify (* 1 1) into 1
8.564 * [backup-simplify]: Simplify (/ 1 1) into 1
8.564 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.564 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.564 * [taylor]: Taking taylor expansion of re in im
8.564 * [backup-simplify]: Simplify re into re
8.564 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.564 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.565 * [backup-simplify]: Simplify (+ 1 0) into 1
8.565 * [backup-simplify]: Simplify (sqrt 1) into 1
8.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.566 * [backup-simplify]: Simplify (+ 0 0) into 0
8.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.567 * [backup-simplify]: Simplify (+ 0 1) into 1
8.567 * [backup-simplify]: Simplify (/ 1 1) into 1
8.567 * [backup-simplify]: Simplify (sqrt 0) into 0
8.568 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.568 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.569 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0
8.569 * [taylor]: Taking taylor expansion of 0 in re
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.570 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.570 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
8.570 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
8.570 * [taylor]: Taking taylor expansion of +nan.0 in re
8.570 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.570 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.570 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.570 * [taylor]: Taking taylor expansion of 2.0 in re
8.570 * [backup-simplify]: Simplify 2.0 into 2.0
8.570 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.570 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.570 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.571 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.571 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
8.571 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.572 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.572 * [backup-simplify]: Simplify 0 into 0
8.572 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
8.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
8.573 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
8.574 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.574 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.575 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))
8.575 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re
8.575 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re
8.575 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
8.575 * [taylor]: Taking taylor expansion of +nan.0 in re
8.575 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.575 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
8.575 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.575 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.575 * [taylor]: Taking taylor expansion of 2.0 in re
8.575 * [backup-simplify]: Simplify 2.0 into 2.0
8.576 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.576 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.576 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.576 * [taylor]: Taking taylor expansion of re in re
8.576 * [backup-simplify]: Simplify 0 into 0
8.576 * [backup-simplify]: Simplify 1 into 1
8.577 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.577 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.577 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
8.577 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
8.577 * [taylor]: Taking taylor expansion of +nan.0 in re
8.577 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.577 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.577 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.577 * [taylor]: Taking taylor expansion of 2.0 in re
8.577 * [backup-simplify]: Simplify 2.0 into 2.0
8.577 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.578 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.578 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.578 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
8.580 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
8.580 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.580 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
8.581 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.581 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.581 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.582 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.582 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.583 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
8.583 * [backup-simplify]: Simplify (- 0) into 0
8.583 * [backup-simplify]: Simplify 0 into 0
8.583 * [backup-simplify]: Simplify 0 into 0
8.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.584 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
8.585 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
8.585 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
8.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
8.586 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
8.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.588 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0
8.589 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))))
8.589 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) in re
8.589 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))) in re
8.589 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
8.589 * [taylor]: Taking taylor expansion of +nan.0 in re
8.590 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.590 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
8.590 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.590 * [taylor]: Taking taylor expansion of 2.0 in re
8.590 * [backup-simplify]: Simplify 2.0 into 2.0
8.590 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.590 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.590 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.590 * [taylor]: Taking taylor expansion of re in re
8.590 * [backup-simplify]: Simplify 0 into 0
8.590 * [backup-simplify]: Simplify 1 into 1
8.591 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.591 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.591 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re
8.591 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re
8.591 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re
8.591 * [taylor]: Taking taylor expansion of +nan.0 in re
8.591 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.591 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re
8.591 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.591 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.591 * [taylor]: Taking taylor expansion of 2.0 in re
8.591 * [backup-simplify]: Simplify 2.0 into 2.0
8.592 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.592 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.592 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.592 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.592 * [taylor]: Taking taylor expansion of re in re
8.592 * [backup-simplify]: Simplify 0 into 0
8.592 * [backup-simplify]: Simplify 1 into 1
8.593 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.593 * [backup-simplify]: Simplify (* 1 1) into 1
8.593 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.593 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
8.593 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
8.593 * [taylor]: Taking taylor expansion of +nan.0 in re
8.593 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.593 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.593 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.593 * [taylor]: Taking taylor expansion of 2.0 in re
8.593 * [backup-simplify]: Simplify 2.0 into 2.0
8.594 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.594 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.594 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.595 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
8.596 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
8.597 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.597 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.598 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
8.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.601 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into 0
8.602 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.602 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
8.602 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.603 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.603 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.603 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.604 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.604 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.606 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* 1 (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2))))))))
8.606 * * * [progress]: simplifying candidates
8.607 * [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)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (* (fabs im) (sqrt 2.0))
  (+ (log (fabs im)) (log (sqrt 2.0)))
  (log (* (fabs im) (sqrt 2.0)))
  (exp (* (fabs im) (sqrt 2.0)))
  (* (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (* (fabs im) (sqrt 2.0))) (cbrt (* (fabs im) (sqrt 2.0))))
  (cbrt (* (fabs im) (sqrt 2.0)))
  (* (* (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0))) (* (fabs im) (sqrt 2.0)))
  (sqrt (* (fabs im) (sqrt 2.0)))
  (sqrt (* (fabs im) (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (fabs im) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (fabs im) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (* (fabs im) (sqrt (sqrt 2.0)))
  (* (fabs im) (sqrt 1))
  (* (fabs im) (sqrt (sqrt 2.0)))
  (* (fabs im) 1)
  (* (cbrt (fabs im)) (sqrt 2.0))
  (* (sqrt (fabs im)) (sqrt 2.0))
  (* (fabs im) (sqrt 2.0))
  (- (+ (log (fabs im)) (log (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0))) (* (fabs im) (sqrt 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (* (fabs im) (sqrt 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) 1)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (fabs im) (sqrt 2.0)))
  (/ (* (fabs im) (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt 1))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt 1))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (fabs im) (sqrt 2.0)) 1)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (* (fabs im) (sqrt 2.0))
  (* (fabs im) (sqrt 2.0))
  (* (fabs im) (sqrt 2.0))
  (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im)))))))
  (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3))))))))
  (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2))))))))
8.613 * * [simplify]: Extracting # 0 : cost  0
8.613 * * [simplify]: Extracting # 1 : cost  0
8.613 * * [simplify]: Extracting # 2 : cost  0
8.614 * * [simplify]: Extracting # 3 : cost  0
8.614 * * [simplify]: Extracting # 4 : cost  0
8.615 * * [simplify]: Extracting # 5 : cost  0
8.615 * * [simplify]: Extracting # 6 : cost  0
8.615 * * [simplify]: Extracting # 7 : cost  0
8.616 * * [simplify]: Extracting # 8 : cost  0
8.616 * * [simplify]: Extracting # 9 : cost  0
8.617 * * [simplify]: Extracting # 10 : cost  0
8.617 * * [simplify]: Extracting # 11 : cost  0
8.623 * * [simplify]: Extracting # 12 : cost  0
8.624 * * [simplify]: Extracting # 13 : cost  0
8.624 * * [simplify]: Extracting # 14 : cost  0
8.624 * * [simplify]: Extracting # 15 : cost  0
8.625 * * [simplify]: Extracting # 16 : cost  0
8.625 * * [simplify]: iteration  0 :  193  enodes  (cost  1652 )
8.669 * * [simplify]: Extracting # 0 : cost  0
8.670 * * [simplify]: Extracting # 1 : cost  0
8.671 * * [simplify]: Extracting # 2 : cost  0
8.671 * * [simplify]: Extracting # 3 : cost  0
8.672 * * [simplify]: Extracting # 4 : cost  0
8.672 * * [simplify]: iteration  1 :  449  enodes  (cost  1480 )
8.850 * * [simplify]: Extracting # 0 : cost  0
8.859 * * [simplify]: Extracting # 1 : cost  0
8.863 * * [simplify]: Extracting # 2 : cost  0
8.867 * * [simplify]: Extracting # 3 : cost  0
8.871 * * [simplify]: Extracting # 4 : cost  0
8.873 * * [simplify]: iteration  2 :  1618  enodes  (cost  1364 )
9.953 * * [simplify]: Extracting # 0 : cost  0
9.960 * * [simplify]: Extracting # 1 : cost  0
9.970 * * [simplify]: Extracting # 2 : cost  0
9.980 * * [simplify]: Extracting # 3 : cost  0
9.990 * * [simplify]: Extracting # 4 : cost  0
10.000 * * [simplify]: iteration done:  5000  enodes  (cost  1333 )
10.002 * [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 (+ (+ (sqrt (+ (* re re) (* im im))) re) re)) (* im im))
  (- re)
  (+ (* im im) 0)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (* (sqrt 2.0) (fabs im))
  (log (* (fabs im) (sqrt 2.0)))
  (log (* (fabs im) (sqrt 2.0)))
  (exp (* (fabs im) (sqrt 2.0)))
  (pow (* (sqrt 2.0) (fabs im)) 3)
  (* (cbrt (* (fabs im) (sqrt 2.0))) (cbrt (* (fabs im) (sqrt 2.0))))
  (cbrt (* (fabs im) (sqrt 2.0)))
  (pow (* (sqrt 2.0) (fabs im)) 3)
  (sqrt (* (fabs im) (sqrt 2.0)))
  (sqrt (* (fabs im) (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (fabs im) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (fabs (cbrt 2.0)) (fabs im))
  (* (fabs im) (sqrt (sqrt 2.0)))
  (fabs im)
  (* (fabs im) (sqrt (sqrt 2.0)))
  (fabs im)
  (* (cbrt (fabs im)) (sqrt 2.0))
  (* (sqrt (fabs im)) (sqrt 2.0))
  (* (sqrt 2.0) (fabs im))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (pow (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (* (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (* (fabs im) (sqrt 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (fabs im) (sqrt 2.0)))
  (/ (* (fabs im) (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0)))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (fabs im))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* (sqrt 2.0) (fabs im))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (fabs im))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt 2.0) (/ (sqrt (+ (* im im) 0)) (fabs im)))
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
  (* (sqrt 2.0) (fabs im))
  (* (sqrt 2.0) (fabs im))
  (* (sqrt 2.0) (fabs im))
  (* +nan.0 (+ (- (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2)) (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im))))
  (+ (/ +nan.0 (/ im (* (sqrt 2.0) (fabs im)))) (- (* (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2)) (+ (/ +nan.0 im) +nan.0))))
  (* +nan.0 (+ (* (/ (fabs im) im) (- (sqrt 2.0) (/ (sqrt 2.0) im))) (- (/ (* (fabs im) (sqrt 2.0)) (pow im 3)))))
10.003 * * * [progress]: adding candidates to table
10.389 * * [progress]: iteration 4 / 4
10.389 * * * [progress]: picking best candidate
10.430 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))>
10.430 * * * [progress]: localizing error
10.467 * * * [progress]: generating rewritten candidates
10.467 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1)
10.481 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
10.495 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1)
10.574 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
10.619 * * * [progress]: generating series expansions
10.619 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1)
10.620 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
10.620 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
10.620 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
10.620 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
10.620 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.620 * [taylor]: Taking taylor expansion of re in im
10.620 * [backup-simplify]: Simplify re into re
10.620 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.620 * [taylor]: Taking taylor expansion of im in im
10.620 * [backup-simplify]: Simplify 0 into 0
10.620 * [backup-simplify]: Simplify 1 into 1
10.620 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.620 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.620 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.620 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.621 * [backup-simplify]: Simplify (+ 0 0) into 0
10.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.621 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.621 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.621 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.621 * [taylor]: Taking taylor expansion of re in re
10.621 * [backup-simplify]: Simplify 0 into 0
10.621 * [backup-simplify]: Simplify 1 into 1
10.621 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.621 * [taylor]: Taking taylor expansion of im in re
10.621 * [backup-simplify]: Simplify im into im
10.621 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.621 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.621 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.621 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.622 * [backup-simplify]: Simplify (+ 0 0) into 0
10.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.622 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.622 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.622 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.622 * [taylor]: Taking taylor expansion of re in re
10.622 * [backup-simplify]: Simplify 0 into 0
10.622 * [backup-simplify]: Simplify 1 into 1
10.622 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.622 * [taylor]: Taking taylor expansion of im in re
10.622 * [backup-simplify]: Simplify im into im
10.622 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.622 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.622 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.622 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.622 * [backup-simplify]: Simplify (+ 0 0) into 0
10.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.623 * [taylor]: Taking taylor expansion of im in im
10.623 * [backup-simplify]: Simplify 0 into 0
10.623 * [backup-simplify]: Simplify 1 into 1
10.623 * [backup-simplify]: Simplify 0 into 0
10.623 * [taylor]: Taking taylor expansion of 0 in im
10.623 * [backup-simplify]: Simplify 0 into 0
10.623 * [backup-simplify]: Simplify 0 into 0
10.623 * [backup-simplify]: Simplify 1 into 1
10.623 * [backup-simplify]: Simplify (* 1 1) into 1
10.623 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.623 * [backup-simplify]: Simplify (+ 1 0) into 1
10.624 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.624 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.624 * [taylor]: Taking taylor expansion of 1/2 in im
10.624 * [backup-simplify]: Simplify 1/2 into 1/2
10.624 * [taylor]: Taking taylor expansion of im in im
10.624 * [backup-simplify]: Simplify 0 into 0
10.624 * [backup-simplify]: Simplify 1 into 1
10.624 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.625 * [backup-simplify]: Simplify 0 into 0
10.625 * [backup-simplify]: Simplify 0 into 0
10.625 * [backup-simplify]: Simplify 0 into 0
10.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.626 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.626 * [backup-simplify]: Simplify (+ 0 0) into 0
10.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.626 * [taylor]: Taking taylor expansion of 0 in im
10.626 * [backup-simplify]: Simplify 0 into 0
10.626 * [backup-simplify]: Simplify 0 into 0
10.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.627 * [backup-simplify]: Simplify 0 into 0
10.627 * [backup-simplify]: Simplify 0 into 0
10.627 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.627 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
10.627 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
10.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.627 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.627 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.627 * [taylor]: Taking taylor expansion of im in im
10.627 * [backup-simplify]: Simplify 0 into 0
10.627 * [backup-simplify]: Simplify 1 into 1
10.628 * [backup-simplify]: Simplify (* 1 1) into 1
10.628 * [backup-simplify]: Simplify (/ 1 1) into 1
10.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.628 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.628 * [taylor]: Taking taylor expansion of re in im
10.628 * [backup-simplify]: Simplify re into re
10.628 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.628 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.628 * [backup-simplify]: Simplify (+ 1 0) into 1
10.629 * [backup-simplify]: Simplify (sqrt 1) into 1
10.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.630 * [backup-simplify]: Simplify (+ 0 0) into 0
10.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.630 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.630 * [taylor]: Taking taylor expansion of im in re
10.630 * [backup-simplify]: Simplify im into im
10.630 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.630 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.630 * [taylor]: Taking taylor expansion of re in re
10.630 * [backup-simplify]: Simplify 0 into 0
10.630 * [backup-simplify]: Simplify 1 into 1
10.631 * [backup-simplify]: Simplify (* 1 1) into 1
10.631 * [backup-simplify]: Simplify (/ 1 1) into 1
10.631 * [backup-simplify]: Simplify (+ 0 1) into 1
10.631 * [backup-simplify]: Simplify (sqrt 1) into 1
10.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.633 * [backup-simplify]: Simplify (+ 0 0) into 0
10.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.634 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.634 * [taylor]: Taking taylor expansion of im in re
10.634 * [backup-simplify]: Simplify im into im
10.634 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.634 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.634 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.634 * [taylor]: Taking taylor expansion of re in re
10.634 * [backup-simplify]: Simplify 0 into 0
10.635 * [backup-simplify]: Simplify 1 into 1
10.635 * [backup-simplify]: Simplify (* 1 1) into 1
10.635 * [backup-simplify]: Simplify (/ 1 1) into 1
10.636 * [backup-simplify]: Simplify (+ 0 1) into 1
10.636 * [backup-simplify]: Simplify (sqrt 1) into 1
10.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.638 * [backup-simplify]: Simplify (+ 0 0) into 0
10.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.639 * [taylor]: Taking taylor expansion of 1 in im
10.639 * [backup-simplify]: Simplify 1 into 1
10.639 * [taylor]: Taking taylor expansion of 0 in im
10.639 * [backup-simplify]: Simplify 0 into 0
10.639 * [backup-simplify]: Simplify 1 into 1
10.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.641 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.642 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.643 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.643 * [taylor]: Taking taylor expansion of 1/2 in im
10.643 * [backup-simplify]: Simplify 1/2 into 1/2
10.643 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.643 * [taylor]: Taking taylor expansion of im in im
10.643 * [backup-simplify]: Simplify 0 into 0
10.643 * [backup-simplify]: Simplify 1 into 1
10.643 * [backup-simplify]: Simplify (* 1 1) into 1
10.644 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.646 * [backup-simplify]: Simplify 0 into 0
10.646 * [backup-simplify]: Simplify 0 into 0
10.646 * [backup-simplify]: Simplify 0 into 0
10.646 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.649 * [backup-simplify]: Simplify (+ 0 0) into 0
10.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.649 * [taylor]: Taking taylor expansion of 0 in im
10.649 * [backup-simplify]: Simplify 0 into 0
10.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.651 * [backup-simplify]: Simplify 0 into 0
10.651 * [backup-simplify]: Simplify 0 into 0
10.652 * [backup-simplify]: Simplify 0 into 0
10.652 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.652 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
10.652 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
10.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.652 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.652 * [taylor]: Taking taylor expansion of im in im
10.652 * [backup-simplify]: Simplify 0 into 0
10.652 * [backup-simplify]: Simplify 1 into 1
10.653 * [backup-simplify]: Simplify (* 1 1) into 1
10.653 * [backup-simplify]: Simplify (/ 1 1) into 1
10.653 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.653 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.653 * [taylor]: Taking taylor expansion of re in im
10.653 * [backup-simplify]: Simplify re into re
10.653 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.654 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.654 * [backup-simplify]: Simplify (+ 1 0) into 1
10.655 * [backup-simplify]: Simplify (sqrt 1) into 1
10.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.656 * [backup-simplify]: Simplify (+ 0 0) into 0
10.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.657 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.657 * [taylor]: Taking taylor expansion of im in re
10.657 * [backup-simplify]: Simplify im into im
10.657 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.658 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.658 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.658 * [taylor]: Taking taylor expansion of re in re
10.658 * [backup-simplify]: Simplify 0 into 0
10.658 * [backup-simplify]: Simplify 1 into 1
10.658 * [backup-simplify]: Simplify (* 1 1) into 1
10.658 * [backup-simplify]: Simplify (/ 1 1) into 1
10.659 * [backup-simplify]: Simplify (+ 0 1) into 1
10.659 * [backup-simplify]: Simplify (sqrt 1) into 1
10.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.661 * [backup-simplify]: Simplify (+ 0 0) into 0
10.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.662 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.662 * [taylor]: Taking taylor expansion of im in re
10.662 * [backup-simplify]: Simplify im into im
10.662 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.662 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.662 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.662 * [taylor]: Taking taylor expansion of re in re
10.663 * [backup-simplify]: Simplify 0 into 0
10.663 * [backup-simplify]: Simplify 1 into 1
10.663 * [backup-simplify]: Simplify (* 1 1) into 1
10.663 * [backup-simplify]: Simplify (/ 1 1) into 1
10.664 * [backup-simplify]: Simplify (+ 0 1) into 1
10.664 * [backup-simplify]: Simplify (sqrt 1) into 1
10.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.666 * [backup-simplify]: Simplify (+ 0 0) into 0
10.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.667 * [taylor]: Taking taylor expansion of 1 in im
10.667 * [backup-simplify]: Simplify 1 into 1
10.667 * [taylor]: Taking taylor expansion of 0 in im
10.667 * [backup-simplify]: Simplify 0 into 0
10.667 * [backup-simplify]: Simplify 1 into 1
10.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.669 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.670 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.670 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.670 * [taylor]: Taking taylor expansion of 1/2 in im
10.670 * [backup-simplify]: Simplify 1/2 into 1/2
10.670 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.670 * [taylor]: Taking taylor expansion of im in im
10.670 * [backup-simplify]: Simplify 0 into 0
10.671 * [backup-simplify]: Simplify 1 into 1
10.671 * [backup-simplify]: Simplify (* 1 1) into 1
10.671 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.673 * [backup-simplify]: Simplify 0 into 0
10.673 * [backup-simplify]: Simplify 0 into 0
10.673 * [backup-simplify]: Simplify 0 into 0
10.673 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.676 * [backup-simplify]: Simplify (+ 0 0) into 0
10.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.676 * [taylor]: Taking taylor expansion of 0 in im
10.676 * [backup-simplify]: Simplify 0 into 0
10.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.678 * [backup-simplify]: Simplify 0 into 0
10.678 * [backup-simplify]: Simplify 0 into 0
10.679 * [backup-simplify]: Simplify 0 into 0
10.679 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.679 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
10.679 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
10.679 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
10.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
10.679 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
10.679 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.679 * [taylor]: Taking taylor expansion of re in im
10.679 * [backup-simplify]: Simplify re into re
10.679 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.679 * [taylor]: Taking taylor expansion of im in im
10.679 * [backup-simplify]: Simplify 0 into 0
10.679 * [backup-simplify]: Simplify 1 into 1
10.679 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.680 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.680 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.680 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.680 * [backup-simplify]: Simplify (+ 0 0) into 0
10.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.680 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.680 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.680 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.681 * [taylor]: Taking taylor expansion of re in re
10.681 * [backup-simplify]: Simplify 0 into 0
10.681 * [backup-simplify]: Simplify 1 into 1
10.681 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.681 * [taylor]: Taking taylor expansion of im in re
10.681 * [backup-simplify]: Simplify im into im
10.681 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.681 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.681 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.681 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.682 * [backup-simplify]: Simplify (+ 0 0) into 0
10.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.682 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.682 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.682 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.682 * [taylor]: Taking taylor expansion of re in re
10.682 * [backup-simplify]: Simplify 0 into 0
10.682 * [backup-simplify]: Simplify 1 into 1
10.682 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.682 * [taylor]: Taking taylor expansion of im in re
10.682 * [backup-simplify]: Simplify im into im
10.682 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.682 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.682 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.682 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.683 * [backup-simplify]: Simplify (+ 0 0) into 0
10.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.683 * [taylor]: Taking taylor expansion of im in im
10.683 * [backup-simplify]: Simplify 0 into 0
10.683 * [backup-simplify]: Simplify 1 into 1
10.683 * [backup-simplify]: Simplify 0 into 0
10.683 * [taylor]: Taking taylor expansion of 0 in im
10.683 * [backup-simplify]: Simplify 0 into 0
10.683 * [backup-simplify]: Simplify 0 into 0
10.683 * [backup-simplify]: Simplify 1 into 1
10.684 * [backup-simplify]: Simplify (* 1 1) into 1
10.684 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.685 * [backup-simplify]: Simplify (+ 1 0) into 1
10.685 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.685 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.685 * [taylor]: Taking taylor expansion of 1/2 in im
10.685 * [backup-simplify]: Simplify 1/2 into 1/2
10.686 * [taylor]: Taking taylor expansion of im in im
10.686 * [backup-simplify]: Simplify 0 into 0
10.686 * [backup-simplify]: Simplify 1 into 1
10.686 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.687 * [backup-simplify]: Simplify 0 into 0
10.687 * [backup-simplify]: Simplify 0 into 0
10.687 * [backup-simplify]: Simplify 0 into 0
10.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.688 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.689 * [backup-simplify]: Simplify (+ 0 0) into 0
10.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.689 * [taylor]: Taking taylor expansion of 0 in im
10.689 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify 0 into 0
10.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.690 * [backup-simplify]: Simplify 0 into 0
10.690 * [backup-simplify]: Simplify 0 into 0
10.690 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.691 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
10.691 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
10.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.691 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.691 * [taylor]: Taking taylor expansion of im in im
10.691 * [backup-simplify]: Simplify 0 into 0
10.691 * [backup-simplify]: Simplify 1 into 1
10.691 * [backup-simplify]: Simplify (* 1 1) into 1
10.692 * [backup-simplify]: Simplify (/ 1 1) into 1
10.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.692 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.692 * [taylor]: Taking taylor expansion of re in im
10.692 * [backup-simplify]: Simplify re into re
10.692 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.692 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.692 * [backup-simplify]: Simplify (+ 1 0) into 1
10.693 * [backup-simplify]: Simplify (sqrt 1) into 1
10.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.695 * [backup-simplify]: Simplify (+ 0 0) into 0
10.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.696 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.696 * [taylor]: Taking taylor expansion of im in re
10.696 * [backup-simplify]: Simplify im into im
10.696 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.696 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.696 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.696 * [taylor]: Taking taylor expansion of re in re
10.696 * [backup-simplify]: Simplify 0 into 0
10.696 * [backup-simplify]: Simplify 1 into 1
10.697 * [backup-simplify]: Simplify (* 1 1) into 1
10.697 * [backup-simplify]: Simplify (/ 1 1) into 1
10.697 * [backup-simplify]: Simplify (+ 0 1) into 1
10.698 * [backup-simplify]: Simplify (sqrt 1) into 1
10.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.699 * [backup-simplify]: Simplify (+ 0 0) into 0
10.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.700 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.700 * [taylor]: Taking taylor expansion of im in re
10.700 * [backup-simplify]: Simplify im into im
10.700 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.701 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.701 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.701 * [taylor]: Taking taylor expansion of re in re
10.701 * [backup-simplify]: Simplify 0 into 0
10.701 * [backup-simplify]: Simplify 1 into 1
10.701 * [backup-simplify]: Simplify (* 1 1) into 1
10.702 * [backup-simplify]: Simplify (/ 1 1) into 1
10.702 * [backup-simplify]: Simplify (+ 0 1) into 1
10.703 * [backup-simplify]: Simplify (sqrt 1) into 1
10.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.705 * [backup-simplify]: Simplify (+ 0 0) into 0
10.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.706 * [taylor]: Taking taylor expansion of 1 in im
10.706 * [backup-simplify]: Simplify 1 into 1
10.706 * [taylor]: Taking taylor expansion of 0 in im
10.706 * [backup-simplify]: Simplify 0 into 0
10.706 * [backup-simplify]: Simplify 1 into 1
10.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.708 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.710 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.710 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.710 * [taylor]: Taking taylor expansion of 1/2 in im
10.710 * [backup-simplify]: Simplify 1/2 into 1/2
10.710 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.710 * [taylor]: Taking taylor expansion of im in im
10.710 * [backup-simplify]: Simplify 0 into 0
10.710 * [backup-simplify]: Simplify 1 into 1
10.710 * [backup-simplify]: Simplify (* 1 1) into 1
10.711 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.716 * [backup-simplify]: Simplify (+ 0 0) into 0
10.716 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.716 * [taylor]: Taking taylor expansion of 0 in im
10.716 * [backup-simplify]: Simplify 0 into 0
10.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.718 * [backup-simplify]: Simplify 0 into 0
10.719 * [backup-simplify]: Simplify 0 into 0
10.719 * [backup-simplify]: Simplify 0 into 0
10.719 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.719 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
10.719 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
10.719 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.719 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.719 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.719 * [taylor]: Taking taylor expansion of im in im
10.719 * [backup-simplify]: Simplify 0 into 0
10.719 * [backup-simplify]: Simplify 1 into 1
10.720 * [backup-simplify]: Simplify (* 1 1) into 1
10.720 * [backup-simplify]: Simplify (/ 1 1) into 1
10.720 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.720 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.720 * [taylor]: Taking taylor expansion of re in im
10.720 * [backup-simplify]: Simplify re into re
10.721 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.721 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.721 * [backup-simplify]: Simplify (+ 1 0) into 1
10.722 * [backup-simplify]: Simplify (sqrt 1) into 1
10.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.723 * [backup-simplify]: Simplify (+ 0 0) into 0
10.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.724 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.724 * [taylor]: Taking taylor expansion of im in re
10.724 * [backup-simplify]: Simplify im into im
10.724 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.724 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.724 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.724 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.724 * [taylor]: Taking taylor expansion of re in re
10.724 * [backup-simplify]: Simplify 0 into 0
10.724 * [backup-simplify]: Simplify 1 into 1
10.725 * [backup-simplify]: Simplify (* 1 1) into 1
10.725 * [backup-simplify]: Simplify (/ 1 1) into 1
10.725 * [backup-simplify]: Simplify (+ 0 1) into 1
10.725 * [backup-simplify]: Simplify (sqrt 1) into 1
10.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.726 * [backup-simplify]: Simplify (+ 0 0) into 0
10.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.727 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.727 * [taylor]: Taking taylor expansion of im in re
10.727 * [backup-simplify]: Simplify im into im
10.727 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.727 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.727 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.727 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.727 * [taylor]: Taking taylor expansion of re in re
10.727 * [backup-simplify]: Simplify 0 into 0
10.727 * [backup-simplify]: Simplify 1 into 1
10.728 * [backup-simplify]: Simplify (* 1 1) into 1
10.728 * [backup-simplify]: Simplify (/ 1 1) into 1
10.728 * [backup-simplify]: Simplify (+ 0 1) into 1
10.728 * [backup-simplify]: Simplify (sqrt 1) into 1
10.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.729 * [backup-simplify]: Simplify (+ 0 0) into 0
10.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.730 * [taylor]: Taking taylor expansion of 1 in im
10.730 * [backup-simplify]: Simplify 1 into 1
10.730 * [taylor]: Taking taylor expansion of 0 in im
10.730 * [backup-simplify]: Simplify 0 into 0
10.730 * [backup-simplify]: Simplify 1 into 1
10.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.731 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.732 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.732 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.732 * [taylor]: Taking taylor expansion of 1/2 in im
10.732 * [backup-simplify]: Simplify 1/2 into 1/2
10.732 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.732 * [taylor]: Taking taylor expansion of im in im
10.732 * [backup-simplify]: Simplify 0 into 0
10.732 * [backup-simplify]: Simplify 1 into 1
10.732 * [backup-simplify]: Simplify (* 1 1) into 1
10.733 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.734 * [backup-simplify]: Simplify 0 into 0
10.734 * [backup-simplify]: Simplify 0 into 0
10.734 * [backup-simplify]: Simplify 0 into 0
10.734 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.735 * [backup-simplify]: Simplify (+ 0 0) into 0
10.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.736 * [taylor]: Taking taylor expansion of 0 in im
10.736 * [backup-simplify]: Simplify 0 into 0
10.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.737 * [backup-simplify]: Simplify 0 into 0
10.737 * [backup-simplify]: Simplify 0 into 0
10.737 * [backup-simplify]: Simplify 0 into 0
10.737 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.737 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1)
10.738 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
10.738 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
10.738 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
10.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
10.738 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
10.738 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.738 * [taylor]: Taking taylor expansion of re in im
10.738 * [backup-simplify]: Simplify re into re
10.738 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.738 * [taylor]: Taking taylor expansion of im in im
10.738 * [backup-simplify]: Simplify 0 into 0
10.738 * [backup-simplify]: Simplify 1 into 1
10.738 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.738 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.738 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.738 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.741 * [backup-simplify]: Simplify (+ 0 0) into 0
10.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.742 * [taylor]: Taking taylor expansion of re in im
10.742 * [backup-simplify]: Simplify re into re
10.742 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
10.742 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.742 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.742 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.742 * [taylor]: Taking taylor expansion of re in re
10.742 * [backup-simplify]: Simplify 0 into 0
10.742 * [backup-simplify]: Simplify 1 into 1
10.742 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.742 * [taylor]: Taking taylor expansion of im in re
10.742 * [backup-simplify]: Simplify im into im
10.742 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.742 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.742 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.742 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.743 * [backup-simplify]: Simplify (+ 0 0) into 0
10.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.743 * [taylor]: Taking taylor expansion of re in re
10.743 * [backup-simplify]: Simplify 0 into 0
10.743 * [backup-simplify]: Simplify 1 into 1
10.743 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
10.743 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.743 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.743 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.743 * [taylor]: Taking taylor expansion of re in re
10.743 * [backup-simplify]: Simplify 0 into 0
10.743 * [backup-simplify]: Simplify 1 into 1
10.743 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.743 * [taylor]: Taking taylor expansion of im in re
10.743 * [backup-simplify]: Simplify im into im
10.743 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.743 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.743 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.743 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.744 * [backup-simplify]: Simplify (+ 0 0) into 0
10.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.744 * [taylor]: Taking taylor expansion of re in re
10.744 * [backup-simplify]: Simplify 0 into 0
10.744 * [backup-simplify]: Simplify 1 into 1
10.744 * [backup-simplify]: Simplify (- 0) into 0
10.744 * [backup-simplify]: Simplify (+ im 0) into im
10.744 * [taylor]: Taking taylor expansion of im in im
10.744 * [backup-simplify]: Simplify 0 into 0
10.744 * [backup-simplify]: Simplify 1 into 1
10.744 * [backup-simplify]: Simplify 0 into 0
10.745 * [backup-simplify]: Simplify (- 1) into -1
10.745 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.745 * [taylor]: Taking taylor expansion of -1 in im
10.745 * [backup-simplify]: Simplify -1 into -1
10.745 * [backup-simplify]: Simplify -1 into -1
10.745 * [backup-simplify]: Simplify 1 into 1
10.745 * [backup-simplify]: Simplify (* 1 1) into 1
10.746 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.746 * [backup-simplify]: Simplify (+ 1 0) into 1
10.746 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.747 * [backup-simplify]: Simplify (- 0) into 0
10.747 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
10.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
10.747 * [taylor]: Taking taylor expansion of 1/2 in im
10.747 * [backup-simplify]: Simplify 1/2 into 1/2
10.747 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.747 * [taylor]: Taking taylor expansion of im in im
10.747 * [backup-simplify]: Simplify 0 into 0
10.747 * [backup-simplify]: Simplify 1 into 1
10.747 * [backup-simplify]: Simplify (/ 1 1) into 1
10.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.748 * [backup-simplify]: Simplify 0 into 0
10.748 * [backup-simplify]: Simplify 0 into 0
10.748 * [backup-simplify]: Simplify 0 into 0
10.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.749 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.749 * [backup-simplify]: Simplify (+ 0 0) into 0
10.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.750 * [backup-simplify]: Simplify (- 0) into 0
10.750 * [backup-simplify]: Simplify (+ 0 0) into 0
10.750 * [taylor]: Taking taylor expansion of 0 in im
10.750 * [backup-simplify]: Simplify 0 into 0
10.750 * [backup-simplify]: Simplify 0 into 0
10.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.751 * [backup-simplify]: Simplify 0 into 0
10.751 * [backup-simplify]: Simplify 0 into 0
10.751 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
10.751 * [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))
10.751 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
10.751 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
10.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.751 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.751 * [taylor]: Taking taylor expansion of im in im
10.751 * [backup-simplify]: Simplify 0 into 0
10.752 * [backup-simplify]: Simplify 1 into 1
10.752 * [backup-simplify]: Simplify (* 1 1) into 1
10.752 * [backup-simplify]: Simplify (/ 1 1) into 1
10.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.752 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.752 * [taylor]: Taking taylor expansion of re in im
10.752 * [backup-simplify]: Simplify re into re
10.752 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.752 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.753 * [backup-simplify]: Simplify (+ 1 0) into 1
10.753 * [backup-simplify]: Simplify (sqrt 1) into 1
10.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.754 * [backup-simplify]: Simplify (+ 0 0) into 0
10.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.754 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.754 * [taylor]: Taking taylor expansion of re in im
10.754 * [backup-simplify]: Simplify re into re
10.754 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.755 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
10.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.755 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.755 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.755 * [taylor]: Taking taylor expansion of im in re
10.755 * [backup-simplify]: Simplify im into im
10.755 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.755 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.755 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.755 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.755 * [taylor]: Taking taylor expansion of re in re
10.755 * [backup-simplify]: Simplify 0 into 0
10.755 * [backup-simplify]: Simplify 1 into 1
10.755 * [backup-simplify]: Simplify (* 1 1) into 1
10.756 * [backup-simplify]: Simplify (/ 1 1) into 1
10.756 * [backup-simplify]: Simplify (+ 0 1) into 1
10.756 * [backup-simplify]: Simplify (sqrt 1) into 1
10.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.757 * [backup-simplify]: Simplify (+ 0 0) into 0
10.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.758 * [taylor]: Taking taylor expansion of re in re
10.758 * [backup-simplify]: Simplify 0 into 0
10.758 * [backup-simplify]: Simplify 1 into 1
10.758 * [backup-simplify]: Simplify (/ 1 1) into 1
10.758 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
10.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.758 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.758 * [taylor]: Taking taylor expansion of im in re
10.758 * [backup-simplify]: Simplify im into im
10.758 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.758 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.758 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.758 * [taylor]: Taking taylor expansion of re in re
10.758 * [backup-simplify]: Simplify 0 into 0
10.758 * [backup-simplify]: Simplify 1 into 1
10.759 * [backup-simplify]: Simplify (* 1 1) into 1
10.759 * [backup-simplify]: Simplify (/ 1 1) into 1
10.759 * [backup-simplify]: Simplify (+ 0 1) into 1
10.759 * [backup-simplify]: Simplify (sqrt 1) into 1
10.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.761 * [backup-simplify]: Simplify (+ 0 0) into 0
10.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.761 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.761 * [taylor]: Taking taylor expansion of re in re
10.761 * [backup-simplify]: Simplify 0 into 0
10.761 * [backup-simplify]: Simplify 1 into 1
10.761 * [backup-simplify]: Simplify (/ 1 1) into 1
10.762 * [backup-simplify]: Simplify (- 1) into -1
10.762 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.762 * [taylor]: Taking taylor expansion of 0 in im
10.762 * [backup-simplify]: Simplify 0 into 0
10.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.763 * [backup-simplify]: Simplify (- 0) into 0
10.763 * [backup-simplify]: Simplify (+ 0 0) into 0
10.763 * [taylor]: Taking taylor expansion of 0 in im
10.763 * [backup-simplify]: Simplify 0 into 0
10.763 * [backup-simplify]: Simplify 0 into 0
10.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.764 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.765 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.766 * [backup-simplify]: Simplify (- 0) into 0
10.766 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.766 * [taylor]: Taking taylor expansion of 1/2 in im
10.766 * [backup-simplify]: Simplify 1/2 into 1/2
10.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.766 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.766 * [taylor]: Taking taylor expansion of im in im
10.766 * [backup-simplify]: Simplify 0 into 0
10.766 * [backup-simplify]: Simplify 1 into 1
10.766 * [backup-simplify]: Simplify (* 1 1) into 1
10.766 * [backup-simplify]: Simplify (/ 1 1) into 1
10.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.768 * [backup-simplify]: Simplify 0 into 0
10.768 * [backup-simplify]: Simplify 0 into 0
10.768 * [backup-simplify]: Simplify 0 into 0
10.768 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.771 * [backup-simplify]: Simplify (+ 0 0) into 0
10.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.772 * [backup-simplify]: Simplify (- 0) into 0
10.773 * [backup-simplify]: Simplify (+ 0 0) into 0
10.773 * [taylor]: Taking taylor expansion of 0 in im
10.773 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.775 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify 0 into 0
10.776 * [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)))))
10.776 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
10.776 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
10.776 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.776 * [taylor]: Taking taylor expansion of re in im
10.776 * [backup-simplify]: Simplify re into re
10.776 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.776 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.776 * [taylor]: Taking taylor expansion of im in im
10.776 * [backup-simplify]: Simplify 0 into 0
10.776 * [backup-simplify]: Simplify 1 into 1
10.777 * [backup-simplify]: Simplify (* 1 1) into 1
10.777 * [backup-simplify]: Simplify (/ 1 1) into 1
10.777 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.777 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.777 * [taylor]: Taking taylor expansion of re in im
10.777 * [backup-simplify]: Simplify re into re
10.777 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.777 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.778 * [backup-simplify]: Simplify (+ 1 0) into 1
10.778 * [backup-simplify]: Simplify (sqrt 1) into 1
10.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.780 * [backup-simplify]: Simplify (+ 0 0) into 0
10.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.780 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
10.781 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.781 * [taylor]: Taking taylor expansion of re in re
10.781 * [backup-simplify]: Simplify 0 into 0
10.781 * [backup-simplify]: Simplify 1 into 1
10.781 * [backup-simplify]: Simplify (/ 1 1) into 1
10.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.781 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.781 * [taylor]: Taking taylor expansion of im in re
10.781 * [backup-simplify]: Simplify im into im
10.781 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.781 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.781 * [taylor]: Taking taylor expansion of re in re
10.781 * [backup-simplify]: Simplify 0 into 0
10.782 * [backup-simplify]: Simplify 1 into 1
10.782 * [backup-simplify]: Simplify (* 1 1) into 1
10.782 * [backup-simplify]: Simplify (/ 1 1) into 1
10.783 * [backup-simplify]: Simplify (+ 0 1) into 1
10.783 * [backup-simplify]: Simplify (sqrt 1) into 1
10.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.785 * [backup-simplify]: Simplify (+ 0 0) into 0
10.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.785 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
10.785 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.785 * [taylor]: Taking taylor expansion of re in re
10.785 * [backup-simplify]: Simplify 0 into 0
10.785 * [backup-simplify]: Simplify 1 into 1
10.786 * [backup-simplify]: Simplify (/ 1 1) into 1
10.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.786 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.786 * [taylor]: Taking taylor expansion of im in re
10.786 * [backup-simplify]: Simplify im into im
10.786 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.786 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.786 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.786 * [taylor]: Taking taylor expansion of re in re
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify 1 into 1
10.787 * [backup-simplify]: Simplify (* 1 1) into 1
10.787 * [backup-simplify]: Simplify (/ 1 1) into 1
10.787 * [backup-simplify]: Simplify (+ 0 1) into 1
10.788 * [backup-simplify]: Simplify (sqrt 1) into 1
10.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.789 * [backup-simplify]: Simplify (+ 0 0) into 0
10.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.790 * [backup-simplify]: Simplify (+ 1 1) into 2
10.790 * [taylor]: Taking taylor expansion of 2 in im
10.790 * [backup-simplify]: Simplify 2 into 2
10.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.791 * [backup-simplify]: Simplify (+ 0 0) into 0
10.792 * [taylor]: Taking taylor expansion of 0 in im
10.792 * [backup-simplify]: Simplify 0 into 0
10.792 * [backup-simplify]: Simplify 2 into 2
10.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.794 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.796 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.796 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
10.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.796 * [taylor]: Taking taylor expansion of 1/2 in im
10.796 * [backup-simplify]: Simplify 1/2 into 1/2
10.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.796 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.796 * [taylor]: Taking taylor expansion of im in im
10.796 * [backup-simplify]: Simplify 0 into 0
10.796 * [backup-simplify]: Simplify 1 into 1
10.796 * [backup-simplify]: Simplify (* 1 1) into 1
10.797 * [backup-simplify]: Simplify (/ 1 1) into 1
10.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.799 * [backup-simplify]: Simplify 0 into 0
10.799 * [backup-simplify]: Simplify 0 into 0
10.799 * [backup-simplify]: Simplify 0 into 0
10.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.800 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.802 * [backup-simplify]: Simplify (+ 0 0) into 0
10.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.803 * [backup-simplify]: Simplify (+ 0 0) into 0
10.803 * [taylor]: Taking taylor expansion of 0 in im
10.803 * [backup-simplify]: Simplify 0 into 0
10.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.806 * [backup-simplify]: Simplify 0 into 0
10.806 * [backup-simplify]: Simplify 0 into 0
10.806 * [backup-simplify]: Simplify 0 into 0
10.806 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
10.806 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
10.806 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
10.806 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
10.806 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
10.806 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
10.806 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
10.806 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.806 * [taylor]: Taking taylor expansion of re in im
10.806 * [backup-simplify]: Simplify re into re
10.806 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.807 * [taylor]: Taking taylor expansion of im in im
10.807 * [backup-simplify]: Simplify 0 into 0
10.807 * [backup-simplify]: Simplify 1 into 1
10.807 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.807 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.807 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.807 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.807 * [backup-simplify]: Simplify (+ 0 0) into 0
10.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.808 * [taylor]: Taking taylor expansion of re in im
10.808 * [backup-simplify]: Simplify re into re
10.808 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
10.808 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.808 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.808 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.808 * [taylor]: Taking taylor expansion of re in re
10.808 * [backup-simplify]: Simplify 0 into 0
10.808 * [backup-simplify]: Simplify 1 into 1
10.808 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.808 * [taylor]: Taking taylor expansion of im in re
10.808 * [backup-simplify]: Simplify im into im
10.808 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.808 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.808 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.808 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.809 * [backup-simplify]: Simplify (+ 0 0) into 0
10.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.809 * [taylor]: Taking taylor expansion of re in re
10.809 * [backup-simplify]: Simplify 0 into 0
10.809 * [backup-simplify]: Simplify 1 into 1
10.809 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
10.809 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.809 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.809 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.809 * [taylor]: Taking taylor expansion of re in re
10.809 * [backup-simplify]: Simplify 0 into 0
10.809 * [backup-simplify]: Simplify 1 into 1
10.809 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.809 * [taylor]: Taking taylor expansion of im in re
10.809 * [backup-simplify]: Simplify im into im
10.809 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.809 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.809 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.809 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.810 * [backup-simplify]: Simplify (+ 0 0) into 0
10.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.810 * [taylor]: Taking taylor expansion of re in re
10.810 * [backup-simplify]: Simplify 0 into 0
10.810 * [backup-simplify]: Simplify 1 into 1
10.810 * [backup-simplify]: Simplify (- 0) into 0
10.810 * [backup-simplify]: Simplify (+ im 0) into im
10.810 * [taylor]: Taking taylor expansion of im in im
10.810 * [backup-simplify]: Simplify 0 into 0
10.811 * [backup-simplify]: Simplify 1 into 1
10.811 * [backup-simplify]: Simplify 0 into 0
10.811 * [backup-simplify]: Simplify (- 1) into -1
10.811 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.811 * [taylor]: Taking taylor expansion of -1 in im
10.811 * [backup-simplify]: Simplify -1 into -1
10.811 * [backup-simplify]: Simplify -1 into -1
10.811 * [backup-simplify]: Simplify 1 into 1
10.812 * [backup-simplify]: Simplify (* 1 1) into 1
10.812 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.812 * [backup-simplify]: Simplify (+ 1 0) into 1
10.813 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.814 * [backup-simplify]: Simplify (- 0) into 0
10.814 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
10.814 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
10.814 * [taylor]: Taking taylor expansion of 1/2 in im
10.814 * [backup-simplify]: Simplify 1/2 into 1/2
10.814 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.814 * [taylor]: Taking taylor expansion of im in im
10.814 * [backup-simplify]: Simplify 0 into 0
10.814 * [backup-simplify]: Simplify 1 into 1
10.814 * [backup-simplify]: Simplify (/ 1 1) into 1
10.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.815 * [backup-simplify]: Simplify 0 into 0
10.815 * [backup-simplify]: Simplify 0 into 0
10.816 * [backup-simplify]: Simplify 0 into 0
10.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.817 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.817 * [backup-simplify]: Simplify (+ 0 0) into 0
10.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.818 * [backup-simplify]: Simplify (- 0) into 0
10.818 * [backup-simplify]: Simplify (+ 0 0) into 0
10.818 * [taylor]: Taking taylor expansion of 0 in im
10.818 * [backup-simplify]: Simplify 0 into 0
10.818 * [backup-simplify]: Simplify 0 into 0
10.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.820 * [backup-simplify]: Simplify 0 into 0
10.820 * [backup-simplify]: Simplify 0 into 0
10.820 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
10.820 * [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))
10.820 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
10.820 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
10.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.820 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.820 * [taylor]: Taking taylor expansion of im in im
10.820 * [backup-simplify]: Simplify 0 into 0
10.821 * [backup-simplify]: Simplify 1 into 1
10.821 * [backup-simplify]: Simplify (* 1 1) into 1
10.821 * [backup-simplify]: Simplify (/ 1 1) into 1
10.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.821 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.821 * [taylor]: Taking taylor expansion of re in im
10.821 * [backup-simplify]: Simplify re into re
10.821 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.822 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.822 * [backup-simplify]: Simplify (+ 1 0) into 1
10.822 * [backup-simplify]: Simplify (sqrt 1) into 1
10.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.824 * [backup-simplify]: Simplify (+ 0 0) into 0
10.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.825 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.825 * [taylor]: Taking taylor expansion of re in im
10.825 * [backup-simplify]: Simplify re into re
10.825 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.825 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
10.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.825 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.825 * [taylor]: Taking taylor expansion of im in re
10.825 * [backup-simplify]: Simplify im into im
10.825 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.825 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.825 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.825 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.825 * [taylor]: Taking taylor expansion of re in re
10.825 * [backup-simplify]: Simplify 0 into 0
10.825 * [backup-simplify]: Simplify 1 into 1
10.826 * [backup-simplify]: Simplify (* 1 1) into 1
10.826 * [backup-simplify]: Simplify (/ 1 1) into 1
10.826 * [backup-simplify]: Simplify (+ 0 1) into 1
10.827 * [backup-simplify]: Simplify (sqrt 1) into 1
10.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.828 * [backup-simplify]: Simplify (+ 0 0) into 0
10.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.829 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.829 * [taylor]: Taking taylor expansion of re in re
10.829 * [backup-simplify]: Simplify 0 into 0
10.829 * [backup-simplify]: Simplify 1 into 1
10.829 * [backup-simplify]: Simplify (/ 1 1) into 1
10.829 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
10.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.829 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.829 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.829 * [taylor]: Taking taylor expansion of im in re
10.829 * [backup-simplify]: Simplify im into im
10.829 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.830 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.830 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.830 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.830 * [taylor]: Taking taylor expansion of re in re
10.830 * [backup-simplify]: Simplify 0 into 0
10.830 * [backup-simplify]: Simplify 1 into 1
10.830 * [backup-simplify]: Simplify (* 1 1) into 1
10.830 * [backup-simplify]: Simplify (/ 1 1) into 1
10.831 * [backup-simplify]: Simplify (+ 0 1) into 1
10.831 * [backup-simplify]: Simplify (sqrt 1) into 1
10.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.833 * [backup-simplify]: Simplify (+ 0 0) into 0
10.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.833 * [taylor]: Taking taylor expansion of re in re
10.833 * [backup-simplify]: Simplify 0 into 0
10.833 * [backup-simplify]: Simplify 1 into 1
10.834 * [backup-simplify]: Simplify (/ 1 1) into 1
10.834 * [backup-simplify]: Simplify (- 1) into -1
10.835 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.835 * [taylor]: Taking taylor expansion of 0 in im
10.835 * [backup-simplify]: Simplify 0 into 0
10.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.836 * [backup-simplify]: Simplify (- 0) into 0
10.836 * [backup-simplify]: Simplify (+ 0 0) into 0
10.836 * [taylor]: Taking taylor expansion of 0 in im
10.836 * [backup-simplify]: Simplify 0 into 0
10.836 * [backup-simplify]: Simplify 0 into 0
10.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.838 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.839 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.840 * [backup-simplify]: Simplify (- 0) into 0
10.840 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.840 * [taylor]: Taking taylor expansion of 1/2 in im
10.840 * [backup-simplify]: Simplify 1/2 into 1/2
10.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.841 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.841 * [taylor]: Taking taylor expansion of im in im
10.841 * [backup-simplify]: Simplify 0 into 0
10.841 * [backup-simplify]: Simplify 1 into 1
10.841 * [backup-simplify]: Simplify (* 1 1) into 1
10.841 * [backup-simplify]: Simplify (/ 1 1) into 1
10.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.843 * [backup-simplify]: Simplify 0 into 0
10.843 * [backup-simplify]: Simplify 0 into 0
10.843 * [backup-simplify]: Simplify 0 into 0
10.843 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.846 * [backup-simplify]: Simplify (+ 0 0) into 0
10.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.848 * [backup-simplify]: Simplify (- 0) into 0
10.848 * [backup-simplify]: Simplify (+ 0 0) into 0
10.848 * [taylor]: Taking taylor expansion of 0 in im
10.848 * [backup-simplify]: Simplify 0 into 0
10.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.850 * [backup-simplify]: Simplify 0 into 0
10.850 * [backup-simplify]: Simplify 0 into 0
10.850 * [backup-simplify]: Simplify 0 into 0
10.851 * [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)))))
10.851 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
10.851 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
10.851 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.851 * [taylor]: Taking taylor expansion of re in im
10.851 * [backup-simplify]: Simplify re into re
10.851 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.851 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.851 * [taylor]: Taking taylor expansion of im in im
10.851 * [backup-simplify]: Simplify 0 into 0
10.851 * [backup-simplify]: Simplify 1 into 1
10.852 * [backup-simplify]: Simplify (* 1 1) into 1
10.852 * [backup-simplify]: Simplify (/ 1 1) into 1
10.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.852 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.852 * [taylor]: Taking taylor expansion of re in im
10.852 * [backup-simplify]: Simplify re into re
10.852 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.852 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.853 * [backup-simplify]: Simplify (+ 1 0) into 1
10.853 * [backup-simplify]: Simplify (sqrt 1) into 1
10.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.855 * [backup-simplify]: Simplify (+ 0 0) into 0
10.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.856 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
10.856 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.856 * [taylor]: Taking taylor expansion of re in re
10.856 * [backup-simplify]: Simplify 0 into 0
10.856 * [backup-simplify]: Simplify 1 into 1
10.856 * [backup-simplify]: Simplify (/ 1 1) into 1
10.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.856 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.856 * [taylor]: Taking taylor expansion of im in re
10.856 * [backup-simplify]: Simplify im into im
10.856 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.856 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.857 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.857 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.857 * [taylor]: Taking taylor expansion of re in re
10.857 * [backup-simplify]: Simplify 0 into 0
10.857 * [backup-simplify]: Simplify 1 into 1
10.857 * [backup-simplify]: Simplify (* 1 1) into 1
10.857 * [backup-simplify]: Simplify (/ 1 1) into 1
10.858 * [backup-simplify]: Simplify (+ 0 1) into 1
10.858 * [backup-simplify]: Simplify (sqrt 1) into 1
10.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.860 * [backup-simplify]: Simplify (+ 0 0) into 0
10.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.860 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
10.860 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.860 * [taylor]: Taking taylor expansion of re in re
10.860 * [backup-simplify]: Simplify 0 into 0
10.860 * [backup-simplify]: Simplify 1 into 1
10.861 * [backup-simplify]: Simplify (/ 1 1) into 1
10.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.861 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.861 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.861 * [taylor]: Taking taylor expansion of im in re
10.861 * [backup-simplify]: Simplify im into im
10.861 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.861 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.861 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.861 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.861 * [taylor]: Taking taylor expansion of re in re
10.861 * [backup-simplify]: Simplify 0 into 0
10.861 * [backup-simplify]: Simplify 1 into 1
10.862 * [backup-simplify]: Simplify (* 1 1) into 1
10.862 * [backup-simplify]: Simplify (/ 1 1) into 1
10.862 * [backup-simplify]: Simplify (+ 0 1) into 1
10.863 * [backup-simplify]: Simplify (sqrt 1) into 1
10.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.864 * [backup-simplify]: Simplify (+ 0 0) into 0
10.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.865 * [backup-simplify]: Simplify (+ 1 1) into 2
10.865 * [taylor]: Taking taylor expansion of 2 in im
10.865 * [backup-simplify]: Simplify 2 into 2
10.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.870 * [backup-simplify]: Simplify (+ 0 0) into 0
10.871 * [taylor]: Taking taylor expansion of 0 in im
10.871 * [backup-simplify]: Simplify 0 into 0
10.871 * [backup-simplify]: Simplify 2 into 2
10.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.874 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.876 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.876 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
10.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.876 * [taylor]: Taking taylor expansion of 1/2 in im
10.876 * [backup-simplify]: Simplify 1/2 into 1/2
10.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.876 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.876 * [taylor]: Taking taylor expansion of im in im
10.876 * [backup-simplify]: Simplify 0 into 0
10.876 * [backup-simplify]: Simplify 1 into 1
10.877 * [backup-simplify]: Simplify (* 1 1) into 1
10.877 * [backup-simplify]: Simplify (/ 1 1) into 1
10.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.880 * [backup-simplify]: Simplify 0 into 0
10.880 * [backup-simplify]: Simplify 0 into 0
10.880 * [backup-simplify]: Simplify 0 into 0
10.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.882 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.884 * [backup-simplify]: Simplify (+ 0 0) into 0
10.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.886 * [backup-simplify]: Simplify (+ 0 0) into 0
10.886 * [taylor]: Taking taylor expansion of 0 in im
10.886 * [backup-simplify]: Simplify 0 into 0
10.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.889 * [backup-simplify]: Simplify 0 into 0
10.889 * [backup-simplify]: Simplify 0 into 0
10.889 * [backup-simplify]: Simplify 0 into 0
10.889 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
10.889 * * * [progress]: simplifying candidates
10.891 * [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)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- 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)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
10.893 * * [simplify]: Extracting # 0 : cost  0
10.894 * * [simplify]: Extracting # 1 : cost  0
10.894 * * [simplify]: Extracting # 2 : cost  0
10.894 * * [simplify]: Extracting # 3 : cost  0
10.894 * * [simplify]: Extracting # 4 : cost  0
10.894 * * [simplify]: Extracting # 5 : cost  0
10.894 * * [simplify]: Extracting # 6 : cost  0
10.895 * * [simplify]: iteration  0 :  64  enodes  (cost  962 )
10.910 * * [simplify]: Extracting # 0 : cost  0
10.910 * * [simplify]: Extracting # 1 : cost  0
10.910 * * [simplify]: Extracting # 2 : cost  0
10.910 * * [simplify]: Extracting # 3 : cost  0
10.910 * * [simplify]: Extracting # 4 : cost  0
10.910 * * [simplify]: iteration  1 :  137  enodes  (cost  842 )
10.952 * * [simplify]: Extracting # 0 : cost  0
10.952 * * [simplify]: Extracting # 1 : cost  0
10.953 * * [simplify]: Extracting # 2 : cost  0
10.954 * * [simplify]: Extracting # 3 : cost  0
10.955 * * [simplify]: Extracting # 4 : cost  0
10.956 * * [simplify]: iteration  2 :  328  enodes  (cost  782 )
11.159 * * [simplify]: Extracting # 0 : cost  0
11.160 * * [simplify]: Extracting # 1 : cost  0
11.161 * * [simplify]: Extracting # 2 : cost  0
11.162 * * [simplify]: Extracting # 3 : cost  0
11.162 * * [simplify]: iteration  3 :  767  enodes  (cost  762 )
11.623 * * [simplify]: Extracting # 0 : cost  0
11.628 * * [simplify]: Extracting # 1 : cost  0
11.640 * * [simplify]: Extracting # 2 : cost  0
11.643 * * [simplify]: Extracting # 3 : cost  0
11.647 * * [simplify]: Extracting # 4 : cost  0
11.651 * * [simplify]: iteration  4 :  1986  enodes  (cost  758 )
12.553 * * [simplify]: Extracting # 0 : cost  0
12.562 * * [simplify]: Extracting # 1 : cost  0
12.574 * * [simplify]: Extracting # 2 : cost  0
12.592 * * [simplify]: Extracting # 3 : cost  0
12.601 * * [simplify]: Extracting # 4 : cost  0
12.607 * * [simplify]: iteration done:  5000  enodes  (cost  758 )
12.608 * [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))
  (+ (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re)) (* im im))
  (- re)
  (pow im 2)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- 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))
  (+ (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re)) (* im im))
  (- re)
  (pow im 2)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
12.608 * * * [progress]: adding candidates to table
13.069 * [progress]: [Phase 3 of 3] Extracting.
13.069 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
13.072 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
13.072 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
13.117 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
13.160 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
13.259 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
13.383 * * * [regime]: Found split indices: #<option (#s(si 2 38) #s(si 0 95) #s(si 7 133) #s(si 4 148) #s(si 6 155) #s(si 4 170) #s(si 6 255))>
13.383 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
13.663 * [regimes]: Found splitpoints: (#s(sp 2 re -5.330091552844717e+114) #s(sp 0 re -4.2156616274993736e-144) #s(sp 7 re 5.124751274050741e-246) #s(sp 4 re 1.2802976578175363e-204) #s(sp 6 re 9.727118253535962e-160) #s(sp 4 re 4.202834506095947e-94) #s(sp 6 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
13.663 * [simplify]: Simplifying:
  (if (<= re -5.330091552844717e+114) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))) (if (<= re -4.2156616274993736e-144) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (if (<= re 5.124751274050741e-246) (* 0.5 (sqrt (* 2.0 (+ im re)))) (if (<= re 1.2802976578175363e-204) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))) (if (<= re 9.727118253535962e-160) (* 0.5 (sqrt (* 2.0 (+ re re)))) (if (<= re 4.202834506095947e-94) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))) (* 0.5 (sqrt (* 2.0 (+ re re))))))))))
13.664 * * [simplify]: Extracting # 0 : cost  0
13.664 * * [simplify]: Extracting # 1 : cost  0
13.664 * * [simplify]: Extracting # 2 : cost  0
13.664 * * [simplify]: Extracting # 3 : cost  0
13.664 * * [simplify]: Extracting # 4 : cost  0
13.664 * * [simplify]: Extracting # 5 : cost  0
13.664 * * [simplify]: Extracting # 6 : cost  0
13.664 * * [simplify]: Extracting # 7 : cost  0
13.664 * * [simplify]: Extracting # 8 : cost  0
13.664 * * [simplify]: Extracting # 9 : cost  0
13.664 * * [simplify]: Extracting # 10 : cost  0
13.664 * * [simplify]: Extracting # 11 : cost  0
13.664 * * [simplify]: Extracting # 12 : cost  0
13.664 * * [simplify]: Extracting # 13 : cost  0
13.664 * * [simplify]: Extracting # 14 : cost  0
13.664 * * [simplify]: Extracting # 15 : cost  0
13.665 * * [simplify]: Extracting # 16 : cost  0
13.665 * * [simplify]: Extracting # 17 : cost  0
13.665 * * [simplify]: Extracting # 18 : cost  0
13.665 * * [simplify]: iteration  0 :  53  enodes  (cost  132 )
13.667 * * [simplify]: Extracting # 0 : cost  0
13.668 * * [simplify]: Extracting # 1 : cost  0
13.668 * * [simplify]: Extracting # 2 : cost  0
13.668 * * [simplify]: Extracting # 3 : cost  0
13.668 * * [simplify]: Extracting # 4 : cost  0
13.668 * * [simplify]: Extracting # 5 : cost  0
13.668 * * [simplify]: Extracting # 6 : cost  0
13.668 * * [simplify]: Extracting # 7 : cost  0
13.668 * * [simplify]: Extracting # 8 : cost  0
13.668 * * [simplify]: iteration  1 :  67  enodes  (cost  125 )
13.671 * * [simplify]: Extracting # 0 : cost  0
13.671 * * [simplify]: Extracting # 1 : cost  0
13.671 * * [simplify]: Extracting # 2 : cost  0
13.671 * * [simplify]: Extracting # 3 : cost  0
13.671 * * [simplify]: Extracting # 4 : cost  0
13.672 * * [simplify]: Extracting # 5 : cost  0
13.672 * * [simplify]: Extracting # 6 : cost  0
13.672 * * [simplify]: iteration  2 :  70  enodes  (cost  107 )
13.678 * * [simplify]: Extracting # 0 : cost  0
13.678 * * [simplify]: Extracting # 1 : cost  0
13.678 * * [simplify]: Extracting # 2 : cost  0
13.678 * * [simplify]: iteration  3 :  73  enodes  (cost  107 )
13.701 * * [simplify]: Extracting # 0 : cost  0
13.701 * * [simplify]: Extracting # 1 : cost  0
13.702 * * [simplify]: Extracting # 2 : cost  0
13.702 * * [simplify]: Extracting # 3 : cost  0
13.702 * * [simplify]: Extracting # 4 : cost  0
13.702 * * [simplify]: iteration done:  73  enodes  (cost  106 )
13.702 * [simplify]: Simplified to:
  (if (<= re -5.330091552844717e+114) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))) (if (<= re -4.2156616274993736e-144) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (if (<= re 5.124751274050741e-246) (* 0.5 (sqrt (* 2.0 (+ im re)))) (if (or (<= re 1.2802976578175363e-204) (and (not (<= re 9.727118253535962e-160)) (<= re 4.202834506095947e-94))) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))) (* 0.5 (sqrt (* 2.0 (+ re re))))))))
16.794 * [regime-testing]: Baseline error score: 37.36978294310329
16.795 * [regime-testing]: Oracle error score: 8.017430076410848
16.798 * [regime-testing]: End program error score: 22.640607958720416
16.900 * [regime-testing]: Target error score: 33.251680000556505