30.494 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.040 * * * [progress]: [2/2] Setting up program.
0.047 * [progress]: [Phase 2 of 3] Improving.
0.047 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.048 * * [simplify]: Extracting # 0 : cost  0
0.048 * * [simplify]: Extracting # 1 : cost  0
0.048 * * [simplify]: Extracting # 2 : cost  0
0.048 * * [simplify]: Extracting # 3 : cost  0
0.048 * * [simplify]: Extracting # 4 : cost  0
0.048 * * [simplify]: Extracting # 5 : cost  0
0.048 * * [simplify]: Extracting # 6 : cost  0
0.048 * * [simplify]: Extracting # 7 : cost  0
0.048 * * [simplify]: Extracting # 8 : cost  0
0.048 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.052 * * [simplify]: Extracting # 0 : cost  0
0.052 * * [simplify]: Extracting # 1 : cost  0
0.052 * * [simplify]: Extracting # 2 : cost  0
0.052 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.059 * * [simplify]: Extracting # 0 : cost  0
0.059 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.066 * * [simplify]: Extracting # 0 : cost  0
0.066 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.066 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.067 * * [progress]: iteration 1 / 4
0.067 * * * [progress]: picking best candidate
0.092 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.092 * * * [progress]: localizing error
0.119 * * * [progress]: generating rewritten candidates
0.119 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.127 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.166 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.209 * * * [progress]: generating series expansions
0.209 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.209 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.209 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.209 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.209 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.209 * [taylor]: Taking taylor expansion of re in im
0.209 * [backup-simplify]: Simplify re into re
0.209 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.209 * [taylor]: Taking taylor expansion of im in im
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.210 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.210 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.210 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.211 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.211 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.211 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.211 * [taylor]: Taking taylor expansion of re in re
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.211 * [taylor]: Taking taylor expansion of im in re
0.211 * [backup-simplify]: Simplify im into im
0.211 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.211 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.211 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.211 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.212 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.212 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.212 * [taylor]: Taking taylor expansion of re in re
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.212 * [taylor]: Taking taylor expansion of im in re
0.212 * [backup-simplify]: Simplify im into im
0.212 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.213 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.213 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.213 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.214 * [taylor]: Taking taylor expansion of im in im
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [taylor]: Taking taylor expansion of 0 in im
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify (* 1 1) into 1
0.215 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.215 * [backup-simplify]: Simplify (+ 1 0) into 1
0.216 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.216 * [taylor]: Taking taylor expansion of (/ 1/2 im) 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 im in im
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.220 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.220 * [taylor]: Taking taylor expansion of 0 in im
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.222 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.222 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.222 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.222 * [taylor]: Taking taylor expansion of im in im
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (* 1 1) into 1
0.223 * [backup-simplify]: Simplify (/ 1 1) into 1
0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.223 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.223 * [taylor]: Taking taylor expansion of re in im
0.223 * [backup-simplify]: Simplify re into re
0.223 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.223 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.224 * [backup-simplify]: Simplify (+ 1 0) into 1
0.224 * [backup-simplify]: Simplify (sqrt 1) into 1
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.227 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.227 * [taylor]: Taking taylor expansion of im in re
0.227 * [backup-simplify]: Simplify im into im
0.227 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.227 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.227 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.227 * [taylor]: Taking taylor expansion of re in re
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (* 1 1) into 1
0.228 * [backup-simplify]: Simplify (/ 1 1) into 1
0.229 * [backup-simplify]: Simplify (+ 0 1) into 1
0.229 * [backup-simplify]: Simplify (sqrt 1) into 1
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.232 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.232 * [taylor]: Taking taylor expansion of im in re
0.232 * [backup-simplify]: Simplify im into im
0.232 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.232 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.232 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.232 * [taylor]: Taking taylor expansion of re in re
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.234 * [backup-simplify]: Simplify (+ 0 1) into 1
0.234 * [backup-simplify]: Simplify (sqrt 1) into 1
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ 0 0) into 0
0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.237 * [taylor]: Taking taylor expansion of 1 in im
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [taylor]: Taking taylor expansion of 0 in im
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.240 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.240 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.240 * [taylor]: Taking taylor expansion of 1/2 in im
0.240 * [backup-simplify]: Simplify 1/2 into 1/2
0.240 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.240 * [taylor]: Taking taylor expansion of im in im
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (* 1 1) into 1
0.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.247 * [taylor]: Taking taylor expansion of 0 in im
0.247 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.249 * [backup-simplify]: Simplify (- (/ 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 re
0.249 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.250 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.250 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.250 * [taylor]: Taking taylor expansion of im in im
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (* 1 1) into 1
0.251 * [backup-simplify]: Simplify (/ 1 1) into 1
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.251 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.251 * [taylor]: Taking taylor expansion of re in im
0.251 * [backup-simplify]: Simplify re into re
0.251 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.251 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.251 * [backup-simplify]: Simplify (+ 1 0) into 1
0.252 * [backup-simplify]: Simplify (sqrt 1) into 1
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.255 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.255 * [taylor]: Taking taylor expansion of im in re
0.255 * [backup-simplify]: Simplify im into im
0.255 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.255 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.255 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.255 * [taylor]: Taking taylor expansion of re in re
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (* 1 1) into 1
0.256 * [backup-simplify]: Simplify (/ 1 1) into 1
0.256 * [backup-simplify]: Simplify (+ 0 1) into 1
0.257 * [backup-simplify]: Simplify (sqrt 1) into 1
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.259 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.259 * [taylor]: Taking taylor expansion of im in re
0.259 * [backup-simplify]: Simplify im into im
0.259 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.260 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.260 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.260 * [taylor]: Taking taylor expansion of re in re
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (* 1 1) into 1
0.261 * [backup-simplify]: Simplify (/ 1 1) into 1
0.261 * [backup-simplify]: Simplify (+ 0 1) into 1
0.261 * [backup-simplify]: Simplify (sqrt 1) into 1
0.262 * [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 in im
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [taylor]: Taking taylor expansion of 0 in im
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.269 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.269 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.269 * [taylor]: Taking taylor expansion of 1/2 in im
0.269 * [backup-simplify]: Simplify 1/2 into 1/2
0.269 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.269 * [taylor]: Taking taylor expansion of im in im
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (* 1 1) into 1
0.270 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.273 * [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
0.274 * [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 * [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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.277 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.277 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.277 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.277 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.277 * [taylor]: Taking taylor expansion of re in im
0.277 * [backup-simplify]: Simplify re into re
0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.277 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.277 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.277 * [taylor]: Taking taylor expansion of re in im
0.277 * [backup-simplify]: Simplify re into re
0.277 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.277 * [taylor]: Taking taylor expansion of im in im
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.278 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.278 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.278 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.279 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.279 * [taylor]: Taking taylor expansion of re in re
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.279 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.279 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.279 * [taylor]: Taking taylor expansion of re in re
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.279 * [taylor]: Taking taylor expansion of im in re
0.279 * [backup-simplify]: Simplify im into im
0.279 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.279 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.279 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.279 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.280 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.280 * [taylor]: Taking taylor expansion of re in re
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.280 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.280 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.280 * [taylor]: Taking taylor expansion of re in re
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.280 * [taylor]: Taking taylor expansion of im in re
0.280 * [backup-simplify]: Simplify im into im
0.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.280 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.281 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.281 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.281 * [backup-simplify]: Simplify (+ 0 im) into im
0.281 * [taylor]: Taking taylor expansion of im in im
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.282 * [taylor]: Taking taylor expansion of 1 in im
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (* 1 1) into 1
0.283 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.283 * [backup-simplify]: Simplify (+ 1 0) into 1
0.284 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.284 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.284 * [taylor]: Taking taylor expansion of 1/2 in im
0.284 * [backup-simplify]: Simplify 1/2 into 1/2
0.284 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.284 * [taylor]: Taking taylor expansion of im in im
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [taylor]: Taking taylor expansion of 0 in im
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.291 * [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)))))
0.291 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.291 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.291 * [taylor]: Taking taylor expansion of re in im
0.291 * [backup-simplify]: Simplify re into re
0.291 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.291 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.291 * [taylor]: Taking taylor expansion of im in im
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (/ 1 1) into 1
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.293 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.293 * [taylor]: Taking taylor expansion of re in im
0.293 * [backup-simplify]: Simplify re into re
0.293 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.293 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.294 * [backup-simplify]: Simplify (+ 1 0) into 1
0.294 * [backup-simplify]: Simplify (sqrt 1) into 1
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.297 * [taylor]: Taking taylor expansion of re in re
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (/ 1 1) into 1
0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.298 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.298 * [taylor]: Taking taylor expansion of im in re
0.298 * [backup-simplify]: Simplify im into im
0.298 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.298 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.298 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.298 * [taylor]: Taking taylor expansion of re in re
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (* 1 1) into 1
0.299 * [backup-simplify]: Simplify (/ 1 1) into 1
0.300 * [backup-simplify]: Simplify (+ 0 1) into 1
0.300 * [backup-simplify]: Simplify (sqrt 1) into 1
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.303 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.303 * [taylor]: Taking taylor expansion of re in re
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.303 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.303 * [taylor]: Taking taylor expansion of im in re
0.303 * [backup-simplify]: Simplify im into im
0.304 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.304 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.304 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.304 * [taylor]: Taking taylor expansion of re in re
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (* 1 1) into 1
0.305 * [backup-simplify]: Simplify (/ 1 1) into 1
0.305 * [backup-simplify]: Simplify (+ 0 1) into 1
0.306 * [backup-simplify]: Simplify (sqrt 1) into 1
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.309 * [backup-simplify]: Simplify (+ 1 1) into 2
0.309 * [taylor]: Taking taylor expansion of 2 in im
0.309 * [backup-simplify]: Simplify 2 into 2
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [taylor]: Taking taylor expansion of 0 in im
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 2 into 2
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.314 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.315 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.315 * [taylor]: Taking taylor expansion of 1/2 in im
0.315 * [backup-simplify]: Simplify 1/2 into 1/2
0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.315 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.315 * [taylor]: Taking taylor expansion of im in im
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify (* 1 1) into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [taylor]: Taking taylor expansion of 0 in im
0.330 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.334 * [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))
0.334 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.334 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.334 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.334 * [taylor]: Taking taylor expansion of im in im
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (* 1 1) into 1
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.335 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.335 * [taylor]: Taking taylor expansion of re in im
0.335 * [backup-simplify]: Simplify re into re
0.335 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.335 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.336 * [backup-simplify]: Simplify (+ 1 0) into 1
0.336 * [backup-simplify]: Simplify (sqrt 1) into 1
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.339 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.339 * [taylor]: Taking taylor expansion of re in im
0.339 * [backup-simplify]: Simplify re into re
0.339 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.339 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.339 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.339 * [taylor]: Taking taylor expansion of im in re
0.339 * [backup-simplify]: Simplify im into im
0.339 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.340 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.340 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.340 * [taylor]: Taking taylor expansion of re in re
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [backup-simplify]: Simplify (* 1 1) into 1
0.341 * [backup-simplify]: Simplify (/ 1 1) into 1
0.341 * [backup-simplify]: Simplify (+ 0 1) into 1
0.341 * [backup-simplify]: Simplify (sqrt 1) into 1
0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.344 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.344 * [taylor]: Taking taylor expansion of re in re
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (/ 1 1) into 1
0.344 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.345 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.345 * [taylor]: Taking taylor expansion of im in re
0.345 * [backup-simplify]: Simplify im into im
0.345 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.345 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.345 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.345 * [taylor]: Taking taylor expansion of re in re
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [backup-simplify]: Simplify (* 1 1) into 1
0.345 * [backup-simplify]: Simplify (/ 1 1) into 1
0.346 * [backup-simplify]: Simplify (+ 0 1) into 1
0.346 * [backup-simplify]: Simplify (sqrt 1) into 1
0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.347 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.347 * [taylor]: Taking taylor expansion of re in re
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (/ 1 1) into 1
0.348 * [backup-simplify]: Simplify (- 1) into -1
0.348 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.348 * [taylor]: Taking taylor expansion of 0 in im
0.348 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (- 0) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.349 * [taylor]: Taking taylor expansion of 0 in im
0.349 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.352 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (- 0) into 0
0.352 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.352 * [taylor]: Taking taylor expansion of 1/2 in im
0.352 * [backup-simplify]: Simplify 1/2 into 1/2
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.353 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.353 * [taylor]: Taking taylor expansion of im in im
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (* 1 1) into 1
0.353 * [backup-simplify]: Simplify (/ 1 1) into 1
0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (- 0) into 0
0.357 * [backup-simplify]: Simplify (+ 0 0) into 0
0.357 * [taylor]: Taking taylor expansion of 0 in im
0.357 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.359 * [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))))))
0.359 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.359 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 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)
0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.360 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.360 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.360 * [taylor]: Taking taylor expansion of re in im
0.360 * [backup-simplify]: Simplify re into re
0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.360 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.360 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.360 * [taylor]: Taking taylor expansion of re in im
0.360 * [backup-simplify]: Simplify re into re
0.360 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.360 * [taylor]: Taking taylor expansion of im in im
0.360 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.361 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.361 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.361 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.361 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.361 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.361 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.362 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.362 * [taylor]: Taking taylor expansion of 2.0 in re
0.362 * [backup-simplify]: Simplify 2.0 into 2.0
0.362 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.362 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.362 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.362 * [taylor]: Taking taylor expansion of re in re
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.362 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.363 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.363 * [taylor]: Taking taylor expansion of re in re
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.363 * [taylor]: Taking taylor expansion of im in re
0.363 * [backup-simplify]: Simplify im into im
0.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.363 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.363 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.363 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.363 * [backup-simplify]: Simplify (+ 0 im) into im
0.363 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.364 * [backup-simplify]: Simplify (+ 1 0) into 1
0.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.364 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.364 * [taylor]: Taking taylor expansion of 2.0 in re
0.364 * [backup-simplify]: Simplify 2.0 into 2.0
0.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.364 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.364 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.365 * [taylor]: Taking taylor expansion of re in re
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.365 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.365 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.365 * [taylor]: Taking taylor expansion of re in re
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.365 * [taylor]: Taking taylor expansion of im in re
0.365 * [backup-simplify]: Simplify im into im
0.365 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.365 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.365 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.365 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.365 * [backup-simplify]: Simplify (+ 0 im) into im
0.365 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.366 * [backup-simplify]: Simplify (+ 1 0) into 1
0.366 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.366 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.366 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.366 * [taylor]: Taking taylor expansion of 2.0 in im
0.366 * [backup-simplify]: Simplify 2.0 into 2.0
0.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.367 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.367 * [taylor]: Taking taylor expansion of im in im
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 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 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.369 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.369 * [taylor]: Taking taylor expansion of 1/2 in im
0.369 * [backup-simplify]: Simplify 1/2 into 1/2
0.369 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.369 * [taylor]: Taking taylor expansion of 2.0 in im
0.369 * [backup-simplify]: Simplify 2.0 into 2.0
0.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.370 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.370 * [taylor]: Taking taylor expansion of im in im
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [backup-simplify]: Simplify (sqrt 0) into 0
0.371 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.372 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.373 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.375 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.376 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.377 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.379 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.379 * [backup-simplify]: Simplify (* 1 1) into 1
0.380 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.380 * [backup-simplify]: Simplify (+ 1 0) into 1
0.381 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.381 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.382 * [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))))
0.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.384 * [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)))))
0.384 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.384 * [taylor]: Taking taylor expansion of 1/8 in im
0.384 * [backup-simplify]: Simplify 1/8 into 1/8
0.384 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.384 * [taylor]: Taking taylor expansion of 2.0 in im
0.384 * [backup-simplify]: Simplify 2.0 into 2.0
0.385 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.386 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.386 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.386 * [taylor]: Taking taylor expansion of im in im
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 1 into 1
0.386 * [backup-simplify]: Simplify (* 1 1) into 1
0.387 * [backup-simplify]: Simplify (* 1 1) into 1
0.387 * [backup-simplify]: Simplify (/ 1 1) into 1
0.387 * [backup-simplify]: Simplify (sqrt 0) into 0
0.389 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.394 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.396 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.397 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.397 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.400 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.401 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.404 * [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)))))))
0.404 * [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)))))))
0.404 * [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
0.404 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.404 * [taylor]: Taking taylor expansion of 2.0 in im
0.404 * [backup-simplify]: Simplify 2.0 into 2.0
0.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.405 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.405 * [taylor]: Taking taylor expansion of re in im
0.405 * [backup-simplify]: Simplify re into re
0.405 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.405 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.405 * [taylor]: Taking taylor expansion of im in im
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (* 1 1) into 1
0.406 * [backup-simplify]: Simplify (/ 1 1) into 1
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.406 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.406 * [taylor]: Taking taylor expansion of re in im
0.406 * [backup-simplify]: Simplify re into re
0.406 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.406 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.406 * [backup-simplify]: Simplify (+ 1 0) into 1
0.407 * [backup-simplify]: Simplify (sqrt 1) into 1
0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (+ 0 0) into 0
0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.408 * [backup-simplify]: Simplify (+ 0 1) into 1
0.409 * [backup-simplify]: Simplify (sqrt 0) into 0
0.410 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.410 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.410 * [taylor]: Taking taylor expansion of 2.0 in re
0.410 * [backup-simplify]: Simplify 2.0 into 2.0
0.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.410 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.410 * [taylor]: Taking taylor expansion of re in re
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 1 into 1
0.411 * [backup-simplify]: Simplify (/ 1 1) into 1
0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.411 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.411 * [taylor]: Taking taylor expansion of im in re
0.411 * [backup-simplify]: Simplify im into im
0.411 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.411 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.411 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.411 * [taylor]: Taking taylor expansion of re in re
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.411 * [backup-simplify]: Simplify (* 1 1) into 1
0.412 * [backup-simplify]: Simplify (/ 1 1) into 1
0.412 * [backup-simplify]: Simplify (+ 0 1) into 1
0.412 * [backup-simplify]: Simplify (sqrt 1) into 1
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (+ 0 0) into 0
0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.414 * [backup-simplify]: Simplify (+ 1 1) into 2
0.414 * [backup-simplify]: Simplify (sqrt 0) into 0
0.415 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.415 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.415 * [taylor]: Taking taylor expansion of 2.0 in re
0.415 * [backup-simplify]: Simplify 2.0 into 2.0
0.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.416 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.416 * [taylor]: Taking taylor expansion of re in re
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify 1 into 1
0.416 * [backup-simplify]: Simplify (/ 1 1) into 1
0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.416 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.416 * [taylor]: Taking taylor expansion of im in re
0.416 * [backup-simplify]: Simplify im into im
0.416 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.417 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.417 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.417 * [taylor]: Taking taylor expansion of re in re
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 1 into 1
0.417 * [backup-simplify]: Simplify (* 1 1) into 1
0.417 * [backup-simplify]: Simplify (/ 1 1) into 1
0.417 * [backup-simplify]: Simplify (+ 0 1) into 1
0.418 * [backup-simplify]: Simplify (sqrt 1) into 1
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (+ 0 0) into 0
0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.419 * [backup-simplify]: Simplify (+ 1 1) into 2
0.420 * [backup-simplify]: Simplify (sqrt 0) into 0
0.420 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.421 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.421 * [taylor]: Taking taylor expansion of 0 in im
0.421 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.423 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.423 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.423 * [taylor]: Taking taylor expansion of +nan.0 in im
0.423 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.423 * [taylor]: Taking taylor expansion of 2.0 in im
0.423 * [backup-simplify]: Simplify 2.0 into 2.0
0.423 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.424 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.428 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.432 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.433 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.433 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.433 * [taylor]: Taking taylor expansion of +nan.0 in im
0.433 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.433 * [taylor]: Taking taylor expansion of 2.0 in im
0.433 * [backup-simplify]: Simplify 2.0 into 2.0
0.433 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.435 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.436 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.437 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.437 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.445 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.445 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.446 * [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))
0.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.448 * [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)))))
0.448 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.448 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.448 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.448 * [taylor]: Taking taylor expansion of +nan.0 in im
0.448 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.448 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.448 * [taylor]: Taking taylor expansion of 2.0 in im
0.448 * [backup-simplify]: Simplify 2.0 into 2.0
0.448 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.449 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.449 * [taylor]: Taking taylor expansion of im in im
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.450 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.450 * [taylor]: Taking taylor expansion of +nan.0 in im
0.450 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.450 * [taylor]: Taking taylor expansion of 2.0 in im
0.450 * [backup-simplify]: Simplify 2.0 into 2.0
0.450 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.452 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.452 * [backup-simplify]: Simplify (+ 0 0) into 0
0.452 * [backup-simplify]: Simplify (- 0) into 0
0.452 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.454 * [backup-simplify]: Simplify (- (* +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)))
0.455 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.456 * [backup-simplify]: Simplify (- 0) into 0
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ 0 0) into 0
0.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.459 * [backup-simplify]: Simplify (+ 0 0) into 0
0.459 * [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)))
0.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.462 * [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)))))
0.462 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.462 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.462 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.462 * [taylor]: Taking taylor expansion of +nan.0 in im
0.462 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.462 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.462 * [taylor]: Taking taylor expansion of 2.0 in im
0.462 * [backup-simplify]: Simplify 2.0 into 2.0
0.462 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.462 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.462 * [taylor]: Taking taylor expansion of im in im
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (* 1 1) into 1
0.463 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.463 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.463 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.463 * [taylor]: Taking taylor expansion of +nan.0 in im
0.463 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.463 * [taylor]: Taking taylor expansion of 2.0 in im
0.463 * [backup-simplify]: Simplify 2.0 into 2.0
0.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.467 * [backup-simplify]: Simplify (+ 0 0) into 0
0.467 * [backup-simplify]: Simplify (- 0) into 0
0.467 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.472 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.474 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.476 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.479 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.480 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.486 * [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)))))))
0.486 * [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))))
0.486 * [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
0.486 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.486 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.486 * [taylor]: Taking taylor expansion of 2.0 in im
0.486 * [backup-simplify]: Simplify 2.0 into 2.0
0.487 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.488 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.488 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.488 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.488 * [taylor]: Taking taylor expansion of im in im
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.488 * [backup-simplify]: Simplify (* 1 1) into 1
0.489 * [backup-simplify]: Simplify (/ 1 1) into 1
0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.489 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.489 * [taylor]: Taking taylor expansion of re in im
0.489 * [backup-simplify]: Simplify re into re
0.489 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.489 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.490 * [backup-simplify]: Simplify (+ 1 0) into 1
0.490 * [backup-simplify]: Simplify (sqrt 1) into 1
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.493 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.493 * [taylor]: Taking taylor expansion of re in im
0.493 * [backup-simplify]: Simplify re into re
0.493 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.493 * [backup-simplify]: Simplify (+ 1 0) into 1
0.494 * [backup-simplify]: Simplify (sqrt 0) into 0
0.495 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.495 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.495 * [taylor]: Taking taylor expansion of 2.0 in re
0.495 * [backup-simplify]: Simplify 2.0 into 2.0
0.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.496 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.496 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.497 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.497 * [taylor]: Taking taylor expansion of im in re
0.497 * [backup-simplify]: Simplify im into im
0.497 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.497 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.497 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.497 * [taylor]: Taking taylor expansion of re in re
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (* 1 1) into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.498 * [backup-simplify]: Simplify (+ 0 1) into 1
0.499 * [backup-simplify]: Simplify (sqrt 1) into 1
0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.501 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.501 * [taylor]: Taking taylor expansion of re in re
0.501 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify (/ 1 1) into 1
0.502 * [backup-simplify]: Simplify (- 1) into -1
0.503 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (- 0) into 0
0.504 * [backup-simplify]: Simplify (+ 0 0) into 0
0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.508 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (- 0) into 0
0.509 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.510 * [backup-simplify]: Simplify (sqrt 0) into 0
0.510 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.510 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.511 * [taylor]: Taking taylor expansion of 2.0 in re
0.511 * [backup-simplify]: Simplify 2.0 into 2.0
0.511 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.512 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.512 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.512 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.512 * [taylor]: Taking taylor expansion of im in re
0.512 * [backup-simplify]: Simplify im into im
0.512 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.512 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.512 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.512 * [taylor]: Taking taylor expansion of re in re
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.513 * [backup-simplify]: Simplify (* 1 1) into 1
0.513 * [backup-simplify]: Simplify (/ 1 1) into 1
0.514 * [backup-simplify]: Simplify (+ 0 1) into 1
0.514 * [backup-simplify]: Simplify (sqrt 1) into 1
0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.517 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.517 * [taylor]: Taking taylor expansion of re in re
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [backup-simplify]: Simplify (/ 1 1) into 1
0.518 * [backup-simplify]: Simplify (- 1) into -1
0.518 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (- 0) into 0
0.520 * [backup-simplify]: Simplify (+ 0 0) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.524 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (- 0) into 0
0.525 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.526 * [backup-simplify]: Simplify (sqrt 0) into 0
0.526 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.527 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.527 * [taylor]: Taking taylor expansion of 0 in im
0.527 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.528 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.528 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.528 * [taylor]: Taking taylor expansion of +nan.0 in im
0.528 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.528 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.528 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.528 * [taylor]: Taking taylor expansion of 2.0 in im
0.528 * [backup-simplify]: Simplify 2.0 into 2.0
0.529 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.529 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.530 * [taylor]: Taking taylor expansion of im in im
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (* 1 1) into 1
0.531 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.534 * [backup-simplify]: Simplify (- 0) into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ 0 0) into 0
0.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (- 0) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.541 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.543 * [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))))
0.543 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.543 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.543 * [taylor]: Taking taylor expansion of +nan.0 in im
0.543 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.543 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.543 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.543 * [taylor]: Taking taylor expansion of 2.0 in im
0.543 * [backup-simplify]: Simplify 2.0 into 2.0
0.544 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.544 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.544 * [taylor]: Taking taylor expansion of im in im
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.545 * [backup-simplify]: Simplify (* 1 1) into 1
0.545 * [backup-simplify]: Simplify (* 1 1) into 1
0.546 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.561 * [backup-simplify]: Simplify (- 0) into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.566 * [backup-simplify]: Simplify (- 0) into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (+ 0 0) into 0
0.571 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (- 0) into 0
0.572 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.574 * [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))))))
0.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.577 * [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))))))
0.577 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.577 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.577 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.577 * [taylor]: Taking taylor expansion of +nan.0 in im
0.577 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.577 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.577 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.577 * [taylor]: Taking taylor expansion of 2.0 in im
0.577 * [backup-simplify]: Simplify 2.0 into 2.0
0.578 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.578 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.578 * [taylor]: Taking taylor expansion of im in im
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 1 into 1
0.579 * [backup-simplify]: Simplify (* 1 1) into 1
0.579 * [backup-simplify]: Simplify (* 1 1) into 1
0.580 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.580 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.581 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.581 * [taylor]: Taking taylor expansion of +nan.0 in im
0.581 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.581 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.581 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.581 * [taylor]: Taking taylor expansion of 2.0 in im
0.581 * [backup-simplify]: Simplify 2.0 into 2.0
0.587 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.588 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.588 * [taylor]: Taking taylor expansion of im in im
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify 1 into 1
0.588 * [backup-simplify]: Simplify (* 1 1) into 1
0.588 * [backup-simplify]: Simplify (* 1 1) into 1
0.588 * [backup-simplify]: Simplify (* 1 1) into 1
0.589 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.590 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.597 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.598 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.612 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.612 * [backup-simplify]: Simplify (- 0) into 0
0.612 * [backup-simplify]: Simplify (+ 0 0) into 0
0.613 * [backup-simplify]: Simplify (- 0) into 0
0.613 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify 0 into 0
0.613 * * * [progress]: simplifying candidates
0.613 * [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
0.614 * * [simplify]: Extracting # 0 : cost  0
0.615 * * [simplify]: Extracting # 1 : cost  0
0.615 * * [simplify]: Extracting # 2 : cost  0
0.615 * * [simplify]: Extracting # 3 : cost  0
0.615 * * [simplify]: Extracting # 4 : cost  0
0.615 * * [simplify]: Extracting # 5 : cost  0
0.615 * * [simplify]: Extracting # 6 : cost  0
0.615 * * [simplify]: Extracting # 7 : cost  0
0.615 * * [simplify]: Extracting # 8 : cost  0
0.615 * * [simplify]: Extracting # 9 : cost  0
0.616 * * [simplify]: Extracting # 10 : cost  0
0.616 * * [simplify]: Extracting # 11 : cost  0
0.616 * * [simplify]: Extracting # 12 : cost  0
0.616 * * [simplify]: iteration  0 :  99  enodes  (cost  722 )
0.655 * * [simplify]: Extracting # 0 : cost  0
0.656 * * [simplify]: Extracting # 1 : cost  0
0.656 * * [simplify]: Extracting # 2 : cost  0
0.657 * * [simplify]: Extracting # 3 : cost  0
0.657 * * [simplify]: Extracting # 4 : cost  0
0.658 * * [simplify]: iteration  1 :  251  enodes  (cost  621 )
0.802 * * [simplify]: Extracting # 0 : cost  0
0.804 * * [simplify]: Extracting # 1 : cost  0
0.807 * * [simplify]: Extracting # 2 : cost  0
0.815 * * [simplify]: Extracting # 3 : cost  0
0.817 * * [simplify]: Extracting # 4 : cost  0
0.820 * * [simplify]: iteration  2 :  954  enodes  (cost  569 )
1.281 * * [simplify]: Extracting # 0 : cost  0
1.290 * * [simplify]: Extracting # 1 : cost  0
1.304 * * [simplify]: Extracting # 2 : cost  0
1.318 * * [simplify]: Extracting # 3 : cost  0
1.331 * * [simplify]: Extracting # 4 : cost  0
1.344 * * [simplify]: iteration done:  5001  enodes  (cost  545 )
1.345 * [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) (* im (pow im 3))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im))
  (+ (* im im) 0)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im)))
  (sqrt (* 2.0 (+ (* im im) 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)
  (* 2 re)
  0
  (* (* +nan.0 (sqrt 2.0)) (+ (- im re) (- (* re re))))
  (+ (- (* +nan.0 (sqrt 2.0))) (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)))
  0
1.345 * * * [progress]: adding candidates to table
1.632 * * [progress]: iteration 2 / 4
1.632 * * * [progress]: picking best candidate
1.654 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
1.654 * * * [progress]: localizing error
1.691 * * * [progress]: generating rewritten candidates
1.691 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
1.703 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
1.711 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
1.764 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
1.852 * * * [progress]: generating series expansions
1.852 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
1.853 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.853 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.853 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.853 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.853 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.853 * [taylor]: Taking taylor expansion of re in im
1.853 * [backup-simplify]: Simplify re into re
1.853 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.853 * [taylor]: Taking taylor expansion of im in im
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify 1 into 1
1.853 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.853 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.853 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.853 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.855 * [backup-simplify]: Simplify (+ 0 0) into 0
1.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.855 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.855 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.855 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.855 * [taylor]: Taking taylor expansion of re in re
1.855 * [backup-simplify]: Simplify 0 into 0
1.855 * [backup-simplify]: Simplify 1 into 1
1.855 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.855 * [taylor]: Taking taylor expansion of im in re
1.855 * [backup-simplify]: Simplify im into im
1.856 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.856 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.856 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.856 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.856 * [backup-simplify]: Simplify (+ 0 0) into 0
1.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.856 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.856 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.856 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.856 * [taylor]: Taking taylor expansion of re in re
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify 1 into 1
1.856 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.856 * [taylor]: Taking taylor expansion of im in re
1.856 * [backup-simplify]: Simplify im into im
1.856 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.857 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.857 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.857 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.857 * [backup-simplify]: Simplify (+ 0 0) into 0
1.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.857 * [taylor]: Taking taylor expansion of im in im
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 1 into 1
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [taylor]: Taking taylor expansion of 0 in im
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 1 into 1
1.858 * [backup-simplify]: Simplify (* 1 1) into 1
1.858 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.858 * [backup-simplify]: Simplify (+ 1 0) into 1
1.859 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.859 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.859 * [taylor]: Taking taylor expansion of 1/2 in im
1.859 * [backup-simplify]: Simplify 1/2 into 1/2
1.859 * [taylor]: Taking taylor expansion of im in im
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 1 into 1
1.859 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.860 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.861 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.861 * [backup-simplify]: Simplify (+ 0 0) into 0
1.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.861 * [taylor]: Taking taylor expansion of 0 in im
1.861 * [backup-simplify]: Simplify 0 into 0
1.861 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.862 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.862 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.862 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.862 * [taylor]: Taking taylor expansion of im in im
1.862 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify 1 into 1
1.863 * [backup-simplify]: Simplify (* 1 1) into 1
1.863 * [backup-simplify]: Simplify (/ 1 1) into 1
1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.863 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.863 * [taylor]: Taking taylor expansion of re in im
1.863 * [backup-simplify]: Simplify re into re
1.863 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.863 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.864 * [backup-simplify]: Simplify (+ 1 0) into 1
1.864 * [backup-simplify]: Simplify (sqrt 1) into 1
1.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.866 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.866 * [taylor]: Taking taylor expansion of im in re
1.866 * [backup-simplify]: Simplify im into im
1.867 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.867 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.867 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.867 * [taylor]: Taking taylor expansion of re in re
1.867 * [backup-simplify]: Simplify 0 into 0
1.867 * [backup-simplify]: Simplify 1 into 1
1.867 * [backup-simplify]: Simplify (* 1 1) into 1
1.868 * [backup-simplify]: Simplify (/ 1 1) into 1
1.868 * [backup-simplify]: Simplify (+ 0 1) into 1
1.869 * [backup-simplify]: Simplify (sqrt 1) into 1
1.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.871 * [backup-simplify]: Simplify (+ 0 0) into 0
1.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.872 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.872 * [taylor]: Taking taylor expansion of im in re
1.872 * [backup-simplify]: Simplify im into im
1.872 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.872 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.872 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.872 * [taylor]: Taking taylor expansion of re in re
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 1 into 1
1.873 * [backup-simplify]: Simplify (* 1 1) into 1
1.873 * [backup-simplify]: Simplify (/ 1 1) into 1
1.874 * [backup-simplify]: Simplify (+ 0 1) into 1
1.874 * [backup-simplify]: Simplify (sqrt 1) into 1
1.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.876 * [backup-simplify]: Simplify (+ 0 0) into 0
1.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.877 * [taylor]: Taking taylor expansion of 1 in im
1.877 * [backup-simplify]: Simplify 1 into 1
1.877 * [taylor]: Taking taylor expansion of 0 in im
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [backup-simplify]: Simplify 1 into 1
1.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.881 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.883 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.883 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.883 * [taylor]: Taking taylor expansion of 1/2 in im
1.883 * [backup-simplify]: Simplify 1/2 into 1/2
1.883 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.883 * [taylor]: Taking taylor expansion of im in im
1.883 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify 1 into 1
1.884 * [backup-simplify]: Simplify (* 1 1) into 1
1.884 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.886 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.892 * [backup-simplify]: Simplify (+ 0 0) into 0
1.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.893 * [taylor]: Taking taylor expansion of 0 in im
1.893 * [backup-simplify]: Simplify 0 into 0
1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.894 * [backup-simplify]: Simplify 0 into 0
1.894 * [backup-simplify]: Simplify 0 into 0
1.894 * [backup-simplify]: Simplify 0 into 0
1.894 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.894 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.894 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.894 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.894 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.894 * [taylor]: Taking taylor expansion of im in im
1.894 * [backup-simplify]: Simplify 0 into 0
1.894 * [backup-simplify]: Simplify 1 into 1
1.895 * [backup-simplify]: Simplify (* 1 1) into 1
1.895 * [backup-simplify]: Simplify (/ 1 1) into 1
1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.895 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.895 * [taylor]: Taking taylor expansion of re in im
1.895 * [backup-simplify]: Simplify re into re
1.895 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.895 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.896 * [backup-simplify]: Simplify (+ 1 0) into 1
1.896 * [backup-simplify]: Simplify (sqrt 1) into 1
1.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.897 * [backup-simplify]: Simplify (+ 0 0) into 0
1.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.897 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.897 * [taylor]: Taking taylor expansion of im in re
1.897 * [backup-simplify]: Simplify im into im
1.898 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.898 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.898 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.898 * [taylor]: Taking taylor expansion of re in re
1.898 * [backup-simplify]: Simplify 0 into 0
1.898 * [backup-simplify]: Simplify 1 into 1
1.898 * [backup-simplify]: Simplify (* 1 1) into 1
1.898 * [backup-simplify]: Simplify (/ 1 1) into 1
1.899 * [backup-simplify]: Simplify (+ 0 1) into 1
1.899 * [backup-simplify]: Simplify (sqrt 1) into 1
1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.900 * [backup-simplify]: Simplify (+ 0 0) into 0
1.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.900 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.900 * [taylor]: Taking taylor expansion of im in re
1.900 * [backup-simplify]: Simplify im into im
1.900 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.901 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.901 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.901 * [taylor]: Taking taylor expansion of re in re
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify 1 into 1
1.901 * [backup-simplify]: Simplify (* 1 1) into 1
1.901 * [backup-simplify]: Simplify (/ 1 1) into 1
1.901 * [backup-simplify]: Simplify (+ 0 1) into 1
1.902 * [backup-simplify]: Simplify (sqrt 1) into 1
1.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.903 * [backup-simplify]: Simplify (+ 0 0) into 0
1.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.903 * [taylor]: Taking taylor expansion of 1 in im
1.903 * [backup-simplify]: Simplify 1 into 1
1.903 * [taylor]: Taking taylor expansion of 0 in im
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.905 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.906 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.906 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.906 * [taylor]: Taking taylor expansion of 1/2 in im
1.906 * [backup-simplify]: Simplify 1/2 into 1/2
1.906 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.906 * [taylor]: Taking taylor expansion of im in im
1.906 * [backup-simplify]: Simplify 0 into 0
1.906 * [backup-simplify]: Simplify 1 into 1
1.906 * [backup-simplify]: Simplify (* 1 1) into 1
1.906 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.909 * [backup-simplify]: Simplify (+ 0 0) into 0
1.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.909 * [taylor]: Taking taylor expansion of 0 in im
1.909 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.911 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
1.911 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.911 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.911 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.911 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.911 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.911 * [taylor]: Taking taylor expansion of re in im
1.911 * [backup-simplify]: Simplify re into re
1.911 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.911 * [taylor]: Taking taylor expansion of im in im
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify 1 into 1
1.911 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.911 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.911 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.911 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.912 * [backup-simplify]: Simplify (+ 0 0) into 0
1.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.912 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.912 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.912 * [taylor]: Taking taylor expansion of re in re
1.912 * [backup-simplify]: Simplify 0 into 0
1.912 * [backup-simplify]: Simplify 1 into 1
1.912 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.912 * [taylor]: Taking taylor expansion of im in re
1.912 * [backup-simplify]: Simplify im into im
1.912 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.912 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.912 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.912 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.913 * [backup-simplify]: Simplify (+ 0 0) into 0
1.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.913 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.913 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.913 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.913 * [taylor]: Taking taylor expansion of re in re
1.913 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify 1 into 1
1.913 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.913 * [taylor]: Taking taylor expansion of im in re
1.913 * [backup-simplify]: Simplify im into im
1.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.913 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.913 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.913 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.913 * [backup-simplify]: Simplify (+ 0 0) into 0
1.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.914 * [taylor]: Taking taylor expansion of im in im
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 1 into 1
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [taylor]: Taking taylor expansion of 0 in im
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 1 into 1
1.914 * [backup-simplify]: Simplify (* 1 1) into 1
1.914 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.915 * [backup-simplify]: Simplify (+ 1 0) into 1
1.915 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.915 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.915 * [taylor]: Taking taylor expansion of 1/2 in im
1.915 * [backup-simplify]: Simplify 1/2 into 1/2
1.915 * [taylor]: Taking taylor expansion of im in im
1.915 * [backup-simplify]: Simplify 0 into 0
1.915 * [backup-simplify]: Simplify 1 into 1
1.916 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.916 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.917 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.917 * [backup-simplify]: Simplify (+ 0 0) into 0
1.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.918 * [taylor]: Taking taylor expansion of 0 in im
1.918 * [backup-simplify]: Simplify 0 into 0
1.918 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.919 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.919 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.919 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.919 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.919 * [taylor]: Taking taylor expansion of im in im
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify 1 into 1
1.920 * [backup-simplify]: Simplify (* 1 1) into 1
1.920 * [backup-simplify]: Simplify (/ 1 1) into 1
1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.920 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.920 * [taylor]: Taking taylor expansion of re in im
1.920 * [backup-simplify]: Simplify re into re
1.920 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.921 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.921 * [backup-simplify]: Simplify (+ 1 0) into 1
1.921 * [backup-simplify]: Simplify (sqrt 1) into 1
1.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.923 * [backup-simplify]: Simplify (+ 0 0) into 0
1.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.924 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.924 * [taylor]: Taking taylor expansion of im in re
1.924 * [backup-simplify]: Simplify im into im
1.924 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.924 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.924 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.924 * [taylor]: Taking taylor expansion of re in re
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 1 into 1
1.925 * [backup-simplify]: Simplify (* 1 1) into 1
1.925 * [backup-simplify]: Simplify (/ 1 1) into 1
1.926 * [backup-simplify]: Simplify (+ 0 1) into 1
1.926 * [backup-simplify]: Simplify (sqrt 1) into 1
1.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.928 * [backup-simplify]: Simplify (+ 0 0) into 0
1.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.928 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.928 * [taylor]: Taking taylor expansion of im in re
1.928 * [backup-simplify]: Simplify im into im
1.929 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.929 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.929 * [taylor]: Taking taylor expansion of re in re
1.929 * [backup-simplify]: Simplify 0 into 0
1.929 * [backup-simplify]: Simplify 1 into 1
1.929 * [backup-simplify]: Simplify (* 1 1) into 1
1.930 * [backup-simplify]: Simplify (/ 1 1) into 1
1.930 * [backup-simplify]: Simplify (+ 0 1) into 1
1.931 * [backup-simplify]: Simplify (sqrt 1) into 1
1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.932 * [backup-simplify]: Simplify (+ 0 0) into 0
1.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.933 * [taylor]: Taking taylor expansion of 1 in im
1.933 * [backup-simplify]: Simplify 1 into 1
1.933 * [taylor]: Taking taylor expansion of 0 in im
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 1 into 1
1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.936 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.937 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.937 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.937 * [taylor]: Taking taylor expansion of 1/2 in im
1.937 * [backup-simplify]: Simplify 1/2 into 1/2
1.937 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.937 * [taylor]: Taking taylor expansion of im in im
1.937 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify 1 into 1
1.938 * [backup-simplify]: Simplify (* 1 1) into 1
1.938 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.944 * [backup-simplify]: Simplify (+ 0 0) into 0
1.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.945 * [taylor]: Taking taylor expansion of 0 in im
1.945 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.947 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.947 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.948 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.948 * [taylor]: Taking taylor expansion of im in im
1.948 * [backup-simplify]: Simplify 0 into 0
1.948 * [backup-simplify]: Simplify 1 into 1
1.948 * [backup-simplify]: Simplify (* 1 1) into 1
1.949 * [backup-simplify]: Simplify (/ 1 1) into 1
1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.949 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.949 * [taylor]: Taking taylor expansion of re in im
1.949 * [backup-simplify]: Simplify re into re
1.949 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.949 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.950 * [backup-simplify]: Simplify (+ 1 0) into 1
1.950 * [backup-simplify]: Simplify (sqrt 1) into 1
1.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.952 * [backup-simplify]: Simplify (+ 0 0) into 0
1.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.953 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.953 * [taylor]: Taking taylor expansion of im in re
1.953 * [backup-simplify]: Simplify im into im
1.953 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.953 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.953 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.953 * [taylor]: Taking taylor expansion of re in re
1.953 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify 1 into 1
1.953 * [backup-simplify]: Simplify (* 1 1) into 1
1.954 * [backup-simplify]: Simplify (/ 1 1) into 1
1.954 * [backup-simplify]: Simplify (+ 0 1) into 1
1.955 * [backup-simplify]: Simplify (sqrt 1) into 1
1.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.956 * [backup-simplify]: Simplify (+ 0 0) into 0
1.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.957 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.957 * [taylor]: Taking taylor expansion of im in re
1.957 * [backup-simplify]: Simplify im into im
1.957 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.958 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.958 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.958 * [taylor]: Taking taylor expansion of re in re
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify 1 into 1
1.958 * [backup-simplify]: Simplify (* 1 1) into 1
1.958 * [backup-simplify]: Simplify (/ 1 1) into 1
1.959 * [backup-simplify]: Simplify (+ 0 1) into 1
1.959 * [backup-simplify]: Simplify (sqrt 1) into 1
1.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.961 * [backup-simplify]: Simplify (+ 0 0) into 0
1.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.962 * [taylor]: Taking taylor expansion of 1 in im
1.962 * [backup-simplify]: Simplify 1 into 1
1.962 * [taylor]: Taking taylor expansion of 0 in im
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify 1 into 1
1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.964 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.965 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.965 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.965 * [taylor]: Taking taylor expansion of 1/2 in im
1.965 * [backup-simplify]: Simplify 1/2 into 1/2
1.965 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.965 * [taylor]: Taking taylor expansion of im in im
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 1 into 1
1.966 * [backup-simplify]: Simplify (* 1 1) into 1
1.966 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.971 * [backup-simplify]: Simplify (+ 0 0) into 0
1.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.972 * [taylor]: Taking taylor expansion of 0 in im
1.972 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.974 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
1.974 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
1.974 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
1.974 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
1.975 * [taylor]: Taking taylor expansion of re in im
1.975 * [backup-simplify]: Simplify re into re
1.975 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.975 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.975 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.975 * [taylor]: Taking taylor expansion of re in im
1.975 * [backup-simplify]: Simplify re into re
1.975 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.975 * [taylor]: Taking taylor expansion of im in im
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 1 into 1
1.975 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.975 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.975 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.975 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.976 * [backup-simplify]: Simplify (+ 0 0) into 0
1.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.976 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
1.976 * [taylor]: Taking taylor expansion of re in re
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify 1 into 1
1.976 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.976 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.976 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.976 * [taylor]: Taking taylor expansion of re in re
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify 1 into 1
1.976 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.976 * [taylor]: Taking taylor expansion of im in re
1.976 * [backup-simplify]: Simplify im into im
1.976 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.977 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.977 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.977 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.977 * [backup-simplify]: Simplify (+ 0 0) into 0
1.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.977 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
1.977 * [taylor]: Taking taylor expansion of re in re
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 1 into 1
1.978 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.978 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.978 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.978 * [taylor]: Taking taylor expansion of re in re
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 1 into 1
1.978 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.978 * [taylor]: Taking taylor expansion of im in re
1.978 * [backup-simplify]: Simplify im into im
1.978 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.978 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.978 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.978 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.979 * [backup-simplify]: Simplify (+ 0 0) into 0
1.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.979 * [backup-simplify]: Simplify (+ 0 im) into im
1.979 * [taylor]: Taking taylor expansion of im in im
1.979 * [backup-simplify]: Simplify 0 into 0
1.979 * [backup-simplify]: Simplify 1 into 1
1.979 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify (+ 1 0) into 1
1.980 * [taylor]: Taking taylor expansion of 1 in im
1.980 * [backup-simplify]: Simplify 1 into 1
1.980 * [backup-simplify]: Simplify 1 into 1
1.980 * [backup-simplify]: Simplify 1 into 1
1.980 * [backup-simplify]: Simplify (* 1 1) into 1
1.981 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.981 * [backup-simplify]: Simplify (+ 1 0) into 1
1.982 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.982 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
1.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
1.982 * [taylor]: Taking taylor expansion of 1/2 in im
1.982 * [backup-simplify]: Simplify 1/2 into 1/2
1.982 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.982 * [taylor]: Taking taylor expansion of im in im
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify 1 into 1
1.983 * [backup-simplify]: Simplify (/ 1 1) into 1
1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 0 into 0
1.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.986 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.986 * [backup-simplify]: Simplify (+ 0 0) into 0
1.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.987 * [backup-simplify]: Simplify (+ 0 0) into 0
1.987 * [taylor]: Taking taylor expansion of 0 in im
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.000 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
2.000 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
2.000 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
2.000 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.000 * [taylor]: Taking taylor expansion of re in im
2.000 * [backup-simplify]: Simplify re into re
2.000 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.000 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.000 * [taylor]: Taking taylor expansion of im in im
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify 1 into 1
2.001 * [backup-simplify]: Simplify (* 1 1) into 1
2.002 * [backup-simplify]: Simplify (/ 1 1) into 1
2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.002 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.002 * [taylor]: Taking taylor expansion of re in im
2.002 * [backup-simplify]: Simplify re into re
2.002 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.002 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.003 * [backup-simplify]: Simplify (+ 1 0) into 1
2.003 * [backup-simplify]: Simplify (sqrt 1) into 1
2.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.005 * [backup-simplify]: Simplify (+ 0 0) into 0
2.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.006 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.006 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.006 * [taylor]: Taking taylor expansion of re in re
2.006 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify 1 into 1
2.006 * [backup-simplify]: Simplify (/ 1 1) into 1
2.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.006 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.006 * [taylor]: Taking taylor expansion of im in re
2.006 * [backup-simplify]: Simplify im into im
2.007 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.007 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.007 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.007 * [taylor]: Taking taylor expansion of re in re
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify 1 into 1
2.007 * [backup-simplify]: Simplify (* 1 1) into 1
2.008 * [backup-simplify]: Simplify (/ 1 1) into 1
2.008 * [backup-simplify]: Simplify (+ 0 1) into 1
2.009 * [backup-simplify]: Simplify (sqrt 1) into 1
2.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.011 * [backup-simplify]: Simplify (+ 0 0) into 0
2.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.011 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.011 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.011 * [taylor]: Taking taylor expansion of re in re
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify 1 into 1
2.012 * [backup-simplify]: Simplify (/ 1 1) into 1
2.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.012 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.012 * [taylor]: Taking taylor expansion of im in re
2.012 * [backup-simplify]: Simplify im into im
2.012 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.012 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.012 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.012 * [taylor]: Taking taylor expansion of re in re
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify 1 into 1
2.013 * [backup-simplify]: Simplify (* 1 1) into 1
2.013 * [backup-simplify]: Simplify (/ 1 1) into 1
2.014 * [backup-simplify]: Simplify (+ 0 1) into 1
2.014 * [backup-simplify]: Simplify (sqrt 1) into 1
2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.016 * [backup-simplify]: Simplify (+ 0 0) into 0
2.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.017 * [backup-simplify]: Simplify (+ 1 1) into 2
2.017 * [taylor]: Taking taylor expansion of 2 in im
2.017 * [backup-simplify]: Simplify 2 into 2
2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.019 * [backup-simplify]: Simplify (+ 0 0) into 0
2.019 * [taylor]: Taking taylor expansion of 0 in im
2.019 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify 2 into 2
2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.022 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.022 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.023 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.023 * [taylor]: Taking taylor expansion of 1/2 in im
2.023 * [backup-simplify]: Simplify 1/2 into 1/2
2.023 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.023 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.023 * [taylor]: Taking taylor expansion of im in im
2.023 * [backup-simplify]: Simplify 0 into 0
2.023 * [backup-simplify]: Simplify 1 into 1
2.023 * [backup-simplify]: Simplify (* 1 1) into 1
2.023 * [backup-simplify]: Simplify (/ 1 1) into 1
2.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.024 * [backup-simplify]: Simplify 0 into 0
2.024 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.025 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.027 * [backup-simplify]: Simplify (+ 0 0) into 0
2.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.028 * [backup-simplify]: Simplify (+ 0 0) into 0
2.028 * [taylor]: Taking taylor expansion of 0 in im
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.029 * [backup-simplify]: Simplify 0 into 0
2.029 * [backup-simplify]: Simplify 0 into 0
2.029 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.030 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
2.030 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
2.030 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
2.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.030 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.030 * [taylor]: Taking taylor expansion of im in im
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 1 into 1
2.031 * [backup-simplify]: Simplify (* 1 1) into 1
2.031 * [backup-simplify]: Simplify (/ 1 1) into 1
2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.031 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.031 * [taylor]: Taking taylor expansion of re in im
2.031 * [backup-simplify]: Simplify re into re
2.031 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.031 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.031 * [backup-simplify]: Simplify (+ 1 0) into 1
2.032 * [backup-simplify]: Simplify (sqrt 1) into 1
2.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.033 * [backup-simplify]: Simplify (+ 0 0) into 0
2.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.033 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.033 * [taylor]: Taking taylor expansion of re in im
2.033 * [backup-simplify]: Simplify re into re
2.033 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.033 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.033 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.033 * [taylor]: Taking taylor expansion of im in re
2.033 * [backup-simplify]: Simplify im into im
2.033 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.034 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.034 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.034 * [taylor]: Taking taylor expansion of re in re
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 1 into 1
2.034 * [backup-simplify]: Simplify (* 1 1) into 1
2.034 * [backup-simplify]: Simplify (/ 1 1) into 1
2.035 * [backup-simplify]: Simplify (+ 0 1) into 1
2.035 * [backup-simplify]: Simplify (sqrt 1) into 1
2.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.036 * [backup-simplify]: Simplify (+ 0 0) into 0
2.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.037 * [taylor]: Taking taylor expansion of re in re
2.037 * [backup-simplify]: Simplify 0 into 0
2.037 * [backup-simplify]: Simplify 1 into 1
2.037 * [backup-simplify]: Simplify (/ 1 1) into 1
2.037 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.037 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.037 * [taylor]: Taking taylor expansion of im in re
2.037 * [backup-simplify]: Simplify im into im
2.037 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.038 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.038 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.038 * [taylor]: Taking taylor expansion of re in re
2.038 * [backup-simplify]: Simplify 0 into 0
2.038 * [backup-simplify]: Simplify 1 into 1
2.038 * [backup-simplify]: Simplify (* 1 1) into 1
2.038 * [backup-simplify]: Simplify (/ 1 1) into 1
2.039 * [backup-simplify]: Simplify (+ 0 1) into 1
2.039 * [backup-simplify]: Simplify (sqrt 1) into 1
2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.040 * [backup-simplify]: Simplify (+ 0 0) into 0
2.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.041 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.041 * [taylor]: Taking taylor expansion of re in re
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify 1 into 1
2.041 * [backup-simplify]: Simplify (/ 1 1) into 1
2.042 * [backup-simplify]: Simplify (- 1) into -1
2.042 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.042 * [taylor]: Taking taylor expansion of 0 in im
2.042 * [backup-simplify]: Simplify 0 into 0
2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.044 * [backup-simplify]: Simplify (- 0) into 0
2.044 * [backup-simplify]: Simplify (+ 0 0) into 0
2.044 * [taylor]: Taking taylor expansion of 0 in im
2.044 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.047 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.048 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.050 * [backup-simplify]: Simplify (- 0) into 0
2.050 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.050 * [taylor]: Taking taylor expansion of 1/2 in im
2.050 * [backup-simplify]: Simplify 1/2 into 1/2
2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.050 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.050 * [taylor]: Taking taylor expansion of im in im
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify 1 into 1
2.051 * [backup-simplify]: Simplify (* 1 1) into 1
2.051 * [backup-simplify]: Simplify (/ 1 1) into 1
2.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.056 * [backup-simplify]: Simplify (+ 0 0) into 0
2.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.059 * [backup-simplify]: Simplify (- 0) into 0
2.059 * [backup-simplify]: Simplify (+ 0 0) into 0
2.059 * [taylor]: Taking taylor expansion of 0 in im
2.059 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.062 * [backup-simplify]: Simplify 0 into 0
2.062 * [backup-simplify]: Simplify 0 into 0
2.062 * [backup-simplify]: Simplify 0 into 0
2.062 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
2.063 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
2.063 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.063 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.063 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.063 * [taylor]: Taking taylor expansion of re in im
2.063 * [backup-simplify]: Simplify re into re
2.063 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.063 * [taylor]: Taking taylor expansion of im in im
2.063 * [backup-simplify]: Simplify 0 into 0
2.063 * [backup-simplify]: Simplify 1 into 1
2.063 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.063 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.064 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.064 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.064 * [backup-simplify]: Simplify (+ 0 0) into 0
2.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.065 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.065 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.065 * [taylor]: Taking taylor expansion of re in re
2.065 * [backup-simplify]: Simplify 0 into 0
2.065 * [backup-simplify]: Simplify 1 into 1
2.065 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.065 * [taylor]: Taking taylor expansion of im in re
2.065 * [backup-simplify]: Simplify im into im
2.065 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.065 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.065 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.065 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.066 * [backup-simplify]: Simplify (+ 0 0) into 0
2.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.066 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.066 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.066 * [taylor]: Taking taylor expansion of re in re
2.066 * [backup-simplify]: Simplify 0 into 0
2.066 * [backup-simplify]: Simplify 1 into 1
2.066 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.066 * [taylor]: Taking taylor expansion of im in re
2.066 * [backup-simplify]: Simplify im into im
2.066 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.066 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.067 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.067 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.067 * [backup-simplify]: Simplify (+ 0 0) into 0
2.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.067 * [taylor]: Taking taylor expansion of im in im
2.067 * [backup-simplify]: Simplify 0 into 0
2.067 * [backup-simplify]: Simplify 1 into 1
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [taylor]: Taking taylor expansion of 0 in im
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 1 into 1
2.068 * [backup-simplify]: Simplify (* 1 1) into 1
2.069 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.069 * [backup-simplify]: Simplify (+ 1 0) into 1
2.070 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.070 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.070 * [taylor]: Taking taylor expansion of 1/2 in im
2.070 * [backup-simplify]: Simplify 1/2 into 1/2
2.070 * [taylor]: Taking taylor expansion of im in im
2.070 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify 1 into 1
2.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.071 * [backup-simplify]: Simplify 0 into 0
2.071 * [backup-simplify]: Simplify 0 into 0
2.071 * [backup-simplify]: Simplify 0 into 0
2.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.073 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.073 * [backup-simplify]: Simplify (+ 0 0) into 0
2.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.074 * [taylor]: Taking taylor expansion of 0 in im
2.074 * [backup-simplify]: Simplify 0 into 0
2.074 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.076 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.076 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.076 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.076 * [taylor]: Taking taylor expansion of im in im
2.076 * [backup-simplify]: Simplify 0 into 0
2.076 * [backup-simplify]: Simplify 1 into 1
2.076 * [backup-simplify]: Simplify (* 1 1) into 1
2.077 * [backup-simplify]: Simplify (/ 1 1) into 1
2.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.077 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.077 * [taylor]: Taking taylor expansion of re in im
2.077 * [backup-simplify]: Simplify re into re
2.077 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.077 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.078 * [backup-simplify]: Simplify (+ 1 0) into 1
2.078 * [backup-simplify]: Simplify (sqrt 1) into 1
2.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.080 * [backup-simplify]: Simplify (+ 0 0) into 0
2.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.081 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.081 * [taylor]: Taking taylor expansion of im in re
2.081 * [backup-simplify]: Simplify im into im
2.081 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.081 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.081 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.081 * [taylor]: Taking taylor expansion of re in re
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.082 * [backup-simplify]: Simplify (* 1 1) into 1
2.082 * [backup-simplify]: Simplify (/ 1 1) into 1
2.083 * [backup-simplify]: Simplify (+ 0 1) into 1
2.083 * [backup-simplify]: Simplify (sqrt 1) into 1
2.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.085 * [backup-simplify]: Simplify (+ 0 0) into 0
2.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.086 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.086 * [taylor]: Taking taylor expansion of im in re
2.086 * [backup-simplify]: Simplify im into im
2.086 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.086 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.086 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.086 * [taylor]: Taking taylor expansion of re in re
2.086 * [backup-simplify]: Simplify 0 into 0
2.086 * [backup-simplify]: Simplify 1 into 1
2.087 * [backup-simplify]: Simplify (* 1 1) into 1
2.087 * [backup-simplify]: Simplify (/ 1 1) into 1
2.087 * [backup-simplify]: Simplify (+ 0 1) into 1
2.088 * [backup-simplify]: Simplify (sqrt 1) into 1
2.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.090 * [backup-simplify]: Simplify (+ 0 0) into 0
2.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.090 * [taylor]: Taking taylor expansion of 1 in im
2.091 * [backup-simplify]: Simplify 1 into 1
2.091 * [taylor]: Taking taylor expansion of 0 in im
2.091 * [backup-simplify]: Simplify 0 into 0
2.091 * [backup-simplify]: Simplify 1 into 1
2.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.093 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.094 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.094 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.094 * [taylor]: Taking taylor expansion of 1/2 in im
2.094 * [backup-simplify]: Simplify 1/2 into 1/2
2.094 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.094 * [taylor]: Taking taylor expansion of im in im
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify 1 into 1
2.095 * [backup-simplify]: Simplify (* 1 1) into 1
2.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.100 * [backup-simplify]: Simplify (+ 0 0) into 0
2.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.101 * [taylor]: Taking taylor expansion of 0 in im
2.101 * [backup-simplify]: Simplify 0 into 0
2.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.104 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.104 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.104 * [taylor]: Taking taylor expansion of im in im
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 1 into 1
2.105 * [backup-simplify]: Simplify (* 1 1) into 1
2.105 * [backup-simplify]: Simplify (/ 1 1) into 1
2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.105 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.105 * [taylor]: Taking taylor expansion of re in im
2.105 * [backup-simplify]: Simplify re into re
2.105 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.106 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.106 * [backup-simplify]: Simplify (+ 1 0) into 1
2.106 * [backup-simplify]: Simplify (sqrt 1) into 1
2.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.108 * [backup-simplify]: Simplify (+ 0 0) into 0
2.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.110 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.110 * [taylor]: Taking taylor expansion of im in re
2.110 * [backup-simplify]: Simplify im into im
2.110 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.110 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.110 * [taylor]: Taking taylor expansion of re in re
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify 1 into 1
2.111 * [backup-simplify]: Simplify (* 1 1) into 1
2.111 * [backup-simplify]: Simplify (/ 1 1) into 1
2.112 * [backup-simplify]: Simplify (+ 0 1) into 1
2.112 * [backup-simplify]: Simplify (sqrt 1) into 1
2.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.114 * [backup-simplify]: Simplify (+ 0 0) into 0
2.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.115 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.115 * [taylor]: Taking taylor expansion of im in re
2.115 * [backup-simplify]: Simplify im into im
2.115 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.115 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.115 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.115 * [taylor]: Taking taylor expansion of re in re
2.115 * [backup-simplify]: Simplify 0 into 0
2.115 * [backup-simplify]: Simplify 1 into 1
2.116 * [backup-simplify]: Simplify (* 1 1) into 1
2.116 * [backup-simplify]: Simplify (/ 1 1) into 1
2.116 * [backup-simplify]: Simplify (+ 0 1) into 1
2.117 * [backup-simplify]: Simplify (sqrt 1) into 1
2.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.119 * [backup-simplify]: Simplify (+ 0 0) into 0
2.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.120 * [taylor]: Taking taylor expansion of 1 in im
2.120 * [backup-simplify]: Simplify 1 into 1
2.120 * [taylor]: Taking taylor expansion of 0 in im
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify 1 into 1
2.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.122 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.123 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.123 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.123 * [taylor]: Taking taylor expansion of 1/2 in im
2.123 * [backup-simplify]: Simplify 1/2 into 1/2
2.123 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.123 * [taylor]: Taking taylor expansion of im in im
2.123 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify 1 into 1
2.124 * [backup-simplify]: Simplify (* 1 1) into 1
2.124 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.129 * [backup-simplify]: Simplify (+ 0 0) into 0
2.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.130 * [taylor]: Taking taylor expansion of 0 in im
2.130 * [backup-simplify]: Simplify 0 into 0
2.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.132 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.132 * * * [progress]: simplifying candidates
2.136 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
2.140 * * [simplify]: Extracting # 0 : cost  0
2.140 * * [simplify]: Extracting # 1 : cost  0
2.140 * * [simplify]: Extracting # 2 : cost  0
2.140 * * [simplify]: Extracting # 3 : cost  0
2.140 * * [simplify]: Extracting # 4 : cost  0
2.141 * * [simplify]: Extracting # 5 : cost  0
2.141 * * [simplify]: Extracting # 6 : cost  0
2.141 * * [simplify]: Extracting # 7 : cost  0
2.141 * * [simplify]: iteration  0 :  133  enodes  (cost  3041 )
2.199 * * [simplify]: Extracting # 0 : cost  0
2.199 * * [simplify]: Extracting # 1 : cost  0
2.200 * * [simplify]: Extracting # 2 : cost  0
2.200 * * [simplify]: Extracting # 3 : cost  0
2.200 * * [simplify]: Extracting # 4 : cost  0
2.200 * * [simplify]: Extracting # 5 : cost  0
2.201 * * [simplify]: iteration  1 :  300  enodes  (cost  1750 )
2.675 * * [simplify]: Extracting # 0 : cost  0
2.676 * * [simplify]: Extracting # 1 : cost  0
2.678 * * [simplify]: Extracting # 2 : cost  0
2.679 * * [simplify]: Extracting # 3 : cost  0
2.680 * * [simplify]: Extracting # 4 : cost  0
2.681 * * [simplify]: Extracting # 5 : cost  0
2.684 * * [simplify]: iteration  2 :  1110  enodes  (cost  1579 )
3.449 * * [simplify]: Extracting # 0 : cost  0
3.471 * * [simplify]: Extracting # 1 : cost  0
3.477 * * [simplify]: Extracting # 2 : cost  0
3.483 * * [simplify]: Extracting # 3 : cost  0
3.493 * * [simplify]: Extracting # 4 : cost  0
3.505 * * [simplify]: iteration done:  5000  enodes  (cost  1544 )
3.506 * [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 (+ (* im im) (* re re))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (* (pow im 3) im)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (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 (+ (* im im) (* re re))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (* (pow im 3) im)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (pow (+ re (sqrt (+ (* re re) (* im im)))) 3)
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ re (- re (sqrt (+ (* re re) (* im im)))))))
  (+ (* im im) 0)
  (- (sqrt (+ (* re re) (* im im))) re)
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* im im) (* re re))
  (sqrt (+ (* im im) (* re re)))
  (pow (sqrt (+ (* im im) (* re re))) (+ 3 1))
  (+ (* im im) (* re re))
  (pow (sqrt (+ (* im im) (* re re))) (+ 3 1))
  2
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* im im) (* re re))) 3)
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* im im) (* re re))) 3)
  (+ (* im im) (* re re))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (* (sqrt (sqrt (- (pow re 4) (* (pow im 3) im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (pow re 4) (* (pow im 3) im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (sqrt (- (pow re 4) (* (pow im 3) im)))
  (sqrt (- (* re re) (* im im)))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (+ 3 1))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  2
  1/2
  1
  1/2
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (+ 3 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* im im) (* re re))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* im im) (* re re))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* im im) (* re re))))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (+ 3 1))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* im im) (* re re)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* im im) (* re re)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (* (pow im 3) im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (* (pow im 3) im)))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (- re)
3.508 * * * [progress]: adding candidates to table
4.094 * * [progress]: iteration 3 / 4
4.094 * * * [progress]: picking best candidate
4.128 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
4.128 * * * [progress]: localizing error
4.186 * * * [progress]: generating rewritten candidates
4.186 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
4.206 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1)
4.225 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1)
4.283 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
4.369 * * * [progress]: generating series expansions
4.369 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
4.369 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* im im) 0))) into (* (sqrt 2.0) im)
4.369 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0
4.369 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.369 * [taylor]: Taking taylor expansion of 2.0 in im
4.369 * [backup-simplify]: Simplify 2.0 into 2.0
4.370 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.370 * [taylor]: Taking taylor expansion of im in im
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 1 into 1
4.370 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.371 * [taylor]: Taking taylor expansion of 2.0 in im
4.371 * [backup-simplify]: Simplify 2.0 into 2.0
4.371 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.371 * [taylor]: Taking taylor expansion of im in im
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 1 into 1
4.372 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.372 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
4.377 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.378 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.378 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
4.378 * [backup-simplify]: Simplify 0 into 0
4.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.380 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.380 * [backup-simplify]: Simplify 0 into 0
4.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.382 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.382 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.383 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
4.383 * [backup-simplify]: Simplify 0 into 0
4.384 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.385 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
4.385 * [backup-simplify]: Simplify 0 into 0
4.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.387 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
4.387 * [backup-simplify]: Simplify 0 into 0
4.388 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
4.388 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (/ 1 im) (/ 1 im)) 0))) into (/ (sqrt 2.0) im)
4.388 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
4.388 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.388 * [taylor]: Taking taylor expansion of 2.0 in im
4.388 * [backup-simplify]: Simplify 2.0 into 2.0
4.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.389 * [taylor]: Taking taylor expansion of im in im
4.389 * [backup-simplify]: Simplify 0 into 0
4.389 * [backup-simplify]: Simplify 1 into 1
4.390 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.390 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.390 * [taylor]: Taking taylor expansion of 2.0 in im
4.390 * [backup-simplify]: Simplify 2.0 into 2.0
4.391 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.392 * [taylor]: Taking taylor expansion of im in im
4.392 * [backup-simplify]: Simplify 0 into 0
4.392 * [backup-simplify]: Simplify 1 into 1
4.393 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.393 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.394 * [backup-simplify]: Simplify 0 into 0
4.396 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.397 * [backup-simplify]: Simplify 0 into 0
4.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.400 * [backup-simplify]: Simplify 0 into 0
4.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.403 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.406 * [backup-simplify]: Simplify 0 into 0
4.408 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.409 * [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
4.409 * [backup-simplify]: Simplify 0 into 0
4.410 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
4.410 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (/ 1 (- im)) (/ 1 (- im))) 0))) into (/ (sqrt 2.0) im)
4.410 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
4.410 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.410 * [taylor]: Taking taylor expansion of 2.0 in im
4.410 * [backup-simplify]: Simplify 2.0 into 2.0
4.411 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.411 * [taylor]: Taking taylor expansion of im in im
4.411 * [backup-simplify]: Simplify 0 into 0
4.412 * [backup-simplify]: Simplify 1 into 1
4.412 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.413 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.413 * [taylor]: Taking taylor expansion of 2.0 in im
4.413 * [backup-simplify]: Simplify 2.0 into 2.0
4.413 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.414 * [taylor]: Taking taylor expansion of im in im
4.414 * [backup-simplify]: Simplify 0 into 0
4.414 * [backup-simplify]: Simplify 1 into 1
4.415 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.416 * [backup-simplify]: Simplify 0 into 0
4.418 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.419 * [backup-simplify]: Simplify 0 into 0
4.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.421 * [backup-simplify]: Simplify 0 into 0
4.422 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.423 * [backup-simplify]: Simplify 0 into 0
4.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.426 * [backup-simplify]: Simplify 0 into 0
4.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.428 * [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
4.428 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
4.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1)
4.429 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.429 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.429 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.429 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.429 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.429 * [taylor]: Taking taylor expansion of re in im
4.429 * [backup-simplify]: Simplify re into re
4.429 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.429 * [taylor]: Taking taylor expansion of im in im
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify 1 into 1
4.429 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.430 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.430 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.430 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.430 * [backup-simplify]: Simplify (+ 0 0) into 0
4.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.430 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.430 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.430 * [taylor]: Taking taylor expansion of re in re
4.430 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify 1 into 1
4.431 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.431 * [taylor]: Taking taylor expansion of im in re
4.431 * [backup-simplify]: Simplify im into im
4.431 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.431 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.431 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.431 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.431 * [backup-simplify]: Simplify (+ 0 0) into 0
4.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.432 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.432 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.432 * [taylor]: Taking taylor expansion of re in re
4.432 * [backup-simplify]: Simplify 0 into 0
4.432 * [backup-simplify]: Simplify 1 into 1
4.432 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.432 * [taylor]: Taking taylor expansion of im in re
4.432 * [backup-simplify]: Simplify im into im
4.432 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.432 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.432 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.432 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.432 * [backup-simplify]: Simplify (+ 0 0) into 0
4.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.433 * [taylor]: Taking taylor expansion of im in im
4.433 * [backup-simplify]: Simplify 0 into 0
4.433 * [backup-simplify]: Simplify 1 into 1
4.433 * [backup-simplify]: Simplify 0 into 0
4.433 * [taylor]: Taking taylor expansion of 0 in im
4.433 * [backup-simplify]: Simplify 0 into 0
4.433 * [backup-simplify]: Simplify 0 into 0
4.433 * [backup-simplify]: Simplify 1 into 1
4.433 * [backup-simplify]: Simplify (* 1 1) into 1
4.434 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.434 * [backup-simplify]: Simplify (+ 1 0) into 1
4.435 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.435 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.435 * [taylor]: Taking taylor expansion of 1/2 in im
4.435 * [backup-simplify]: Simplify 1/2 into 1/2
4.435 * [taylor]: Taking taylor expansion of im in im
4.435 * [backup-simplify]: Simplify 0 into 0
4.435 * [backup-simplify]: Simplify 1 into 1
4.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.437 * [backup-simplify]: Simplify 0 into 0
4.437 * [backup-simplify]: Simplify 0 into 0
4.437 * [backup-simplify]: Simplify 0 into 0
4.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.438 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.439 * [backup-simplify]: Simplify (+ 0 0) into 0
4.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.439 * [taylor]: Taking taylor expansion of 0 in im
4.439 * [backup-simplify]: Simplify 0 into 0
4.439 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.440 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify 0 into 0
4.441 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.441 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.441 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.441 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.441 * [taylor]: Taking taylor expansion of im in im
4.441 * [backup-simplify]: Simplify 0 into 0
4.441 * [backup-simplify]: Simplify 1 into 1
4.442 * [backup-simplify]: Simplify (* 1 1) into 1
4.442 * [backup-simplify]: Simplify (/ 1 1) into 1
4.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.442 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.442 * [taylor]: Taking taylor expansion of re in im
4.442 * [backup-simplify]: Simplify re into re
4.442 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.443 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.443 * [backup-simplify]: Simplify (+ 1 0) into 1
4.443 * [backup-simplify]: Simplify (sqrt 1) into 1
4.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.445 * [backup-simplify]: Simplify (+ 0 0) into 0
4.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.446 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.446 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.446 * [taylor]: Taking taylor expansion of im in re
4.446 * [backup-simplify]: Simplify im into im
4.446 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.446 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.446 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.447 * [taylor]: Taking taylor expansion of re in re
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 1 into 1
4.447 * [backup-simplify]: Simplify (* 1 1) into 1
4.447 * [backup-simplify]: Simplify (/ 1 1) into 1
4.448 * [backup-simplify]: Simplify (+ 0 1) into 1
4.448 * [backup-simplify]: Simplify (sqrt 1) into 1
4.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.450 * [backup-simplify]: Simplify (+ 0 0) into 0
4.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.451 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.451 * [taylor]: Taking taylor expansion of im in re
4.451 * [backup-simplify]: Simplify im into im
4.451 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.451 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.451 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.451 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.451 * [taylor]: Taking taylor expansion of re in re
4.451 * [backup-simplify]: Simplify 0 into 0
4.451 * [backup-simplify]: Simplify 1 into 1
4.451 * [backup-simplify]: Simplify (* 1 1) into 1
4.452 * [backup-simplify]: Simplify (/ 1 1) into 1
4.452 * [backup-simplify]: Simplify (+ 0 1) into 1
4.453 * [backup-simplify]: Simplify (sqrt 1) into 1
4.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.455 * [backup-simplify]: Simplify (+ 0 0) into 0
4.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.456 * [taylor]: Taking taylor expansion of 1 in im
4.456 * [backup-simplify]: Simplify 1 into 1
4.456 * [taylor]: Taking taylor expansion of 0 in im
4.456 * [backup-simplify]: Simplify 0 into 0
4.456 * [backup-simplify]: Simplify 1 into 1
4.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.458 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.460 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.460 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.460 * [taylor]: Taking taylor expansion of 1/2 in im
4.460 * [backup-simplify]: Simplify 1/2 into 1/2
4.460 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.460 * [taylor]: Taking taylor expansion of im in im
4.460 * [backup-simplify]: Simplify 0 into 0
4.460 * [backup-simplify]: Simplify 1 into 1
4.460 * [backup-simplify]: Simplify (* 1 1) into 1
4.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.462 * [backup-simplify]: Simplify 0 into 0
4.462 * [backup-simplify]: Simplify 0 into 0
4.462 * [backup-simplify]: Simplify 0 into 0
4.462 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.465 * [backup-simplify]: Simplify (+ 0 0) into 0
4.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.466 * [taylor]: Taking taylor expansion of 0 in im
4.466 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.469 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.469 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.469 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.469 * [taylor]: Taking taylor expansion of im in im
4.469 * [backup-simplify]: Simplify 0 into 0
4.469 * [backup-simplify]: Simplify 1 into 1
4.469 * [backup-simplify]: Simplify (* 1 1) into 1
4.470 * [backup-simplify]: Simplify (/ 1 1) into 1
4.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.470 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.470 * [taylor]: Taking taylor expansion of re in im
4.470 * [backup-simplify]: Simplify re into re
4.470 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.470 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.471 * [backup-simplify]: Simplify (+ 1 0) into 1
4.471 * [backup-simplify]: Simplify (sqrt 1) into 1
4.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.473 * [backup-simplify]: Simplify (+ 0 0) into 0
4.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.474 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.474 * [taylor]: Taking taylor expansion of im in re
4.474 * [backup-simplify]: Simplify im into im
4.474 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.474 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.474 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.474 * [taylor]: Taking taylor expansion of re in re
4.474 * [backup-simplify]: Simplify 0 into 0
4.474 * [backup-simplify]: Simplify 1 into 1
4.475 * [backup-simplify]: Simplify (* 1 1) into 1
4.475 * [backup-simplify]: Simplify (/ 1 1) into 1
4.476 * [backup-simplify]: Simplify (+ 0 1) into 1
4.476 * [backup-simplify]: Simplify (sqrt 1) into 1
4.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.478 * [backup-simplify]: Simplify (+ 0 0) into 0
4.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.479 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.479 * [taylor]: Taking taylor expansion of im in re
4.479 * [backup-simplify]: Simplify im into im
4.479 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.479 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.479 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.479 * [taylor]: Taking taylor expansion of re in re
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 1 into 1
4.480 * [backup-simplify]: Simplify (* 1 1) into 1
4.480 * [backup-simplify]: Simplify (/ 1 1) into 1
4.480 * [backup-simplify]: Simplify (+ 0 1) into 1
4.481 * [backup-simplify]: Simplify (sqrt 1) into 1
4.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.483 * [backup-simplify]: Simplify (+ 0 0) into 0
4.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.484 * [taylor]: Taking taylor expansion of 1 in im
4.484 * [backup-simplify]: Simplify 1 into 1
4.484 * [taylor]: Taking taylor expansion of 0 in im
4.484 * [backup-simplify]: Simplify 0 into 0
4.484 * [backup-simplify]: Simplify 1 into 1
4.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.486 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.487 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.487 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.487 * [taylor]: Taking taylor expansion of 1/2 in im
4.487 * [backup-simplify]: Simplify 1/2 into 1/2
4.487 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.487 * [taylor]: Taking taylor expansion of im in im
4.487 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify 1 into 1
4.488 * [backup-simplify]: Simplify (* 1 1) into 1
4.488 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.490 * [backup-simplify]: Simplify 0 into 0
4.490 * [backup-simplify]: Simplify 0 into 0
4.490 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.494 * [backup-simplify]: Simplify (+ 0 0) into 0
4.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.494 * [taylor]: Taking taylor expansion of 0 in im
4.495 * [backup-simplify]: Simplify 0 into 0
4.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.497 * [backup-simplify]: Simplify 0 into 0
4.497 * [backup-simplify]: Simplify 0 into 0
4.497 * [backup-simplify]: Simplify 0 into 0
4.497 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.497 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1)
4.497 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
4.497 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
4.497 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
4.497 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.497 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.497 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.497 * [taylor]: Taking taylor expansion of re in im
4.497 * [backup-simplify]: Simplify re into re
4.498 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.498 * [taylor]: Taking taylor expansion of im in im
4.498 * [backup-simplify]: Simplify 0 into 0
4.498 * [backup-simplify]: Simplify 1 into 1
4.498 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.498 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.498 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.498 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.499 * [backup-simplify]: Simplify (+ 0 0) into 0
4.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.499 * [taylor]: Taking taylor expansion of re in im
4.499 * [backup-simplify]: Simplify re into re
4.499 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.499 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.499 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.499 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.499 * [taylor]: Taking taylor expansion of re in re
4.499 * [backup-simplify]: Simplify 0 into 0
4.499 * [backup-simplify]: Simplify 1 into 1
4.499 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.499 * [taylor]: Taking taylor expansion of im in re
4.499 * [backup-simplify]: Simplify im into im
4.499 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.499 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.500 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.500 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.500 * [backup-simplify]: Simplify (+ 0 0) into 0
4.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.500 * [taylor]: Taking taylor expansion of re in re
4.500 * [backup-simplify]: Simplify 0 into 0
4.500 * [backup-simplify]: Simplify 1 into 1
4.500 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.501 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.501 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.501 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.501 * [taylor]: Taking taylor expansion of re in re
4.501 * [backup-simplify]: Simplify 0 into 0
4.501 * [backup-simplify]: Simplify 1 into 1
4.501 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.501 * [taylor]: Taking taylor expansion of im in re
4.501 * [backup-simplify]: Simplify im into im
4.501 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.501 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.501 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.501 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.502 * [backup-simplify]: Simplify (+ 0 0) into 0
4.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.502 * [taylor]: Taking taylor expansion of re in re
4.502 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify 1 into 1
4.502 * [backup-simplify]: Simplify (- 0) into 0
4.503 * [backup-simplify]: Simplify (+ im 0) into im
4.503 * [taylor]: Taking taylor expansion of im in im
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 1 into 1
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify (- 1) into -1
4.504 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.504 * [taylor]: Taking taylor expansion of -1 in im
4.504 * [backup-simplify]: Simplify -1 into -1
4.504 * [backup-simplify]: Simplify -1 into -1
4.504 * [backup-simplify]: Simplify 1 into 1
4.504 * [backup-simplify]: Simplify (* 1 1) into 1
4.505 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.505 * [backup-simplify]: Simplify (+ 1 0) into 1
4.506 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.506 * [backup-simplify]: Simplify (- 0) into 0
4.506 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.506 * [taylor]: Taking taylor expansion of 1/2 in im
4.506 * [backup-simplify]: Simplify 1/2 into 1/2
4.506 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.507 * [taylor]: Taking taylor expansion of im in im
4.507 * [backup-simplify]: Simplify 0 into 0
4.507 * [backup-simplify]: Simplify 1 into 1
4.507 * [backup-simplify]: Simplify (/ 1 1) into 1
4.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.509 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.510 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.511 * [backup-simplify]: Simplify (+ 0 0) into 0
4.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.511 * [backup-simplify]: Simplify (- 0) into 0
4.512 * [backup-simplify]: Simplify (+ 0 0) into 0
4.512 * [taylor]: Taking taylor expansion of 0 in im
4.512 * [backup-simplify]: Simplify 0 into 0
4.512 * [backup-simplify]: Simplify 0 into 0
4.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.514 * [backup-simplify]: Simplify 0 into 0
4.514 * [backup-simplify]: Simplify 0 into 0
4.514 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.514 * [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))
4.514 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
4.514 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.515 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.515 * [taylor]: Taking taylor expansion of im in im
4.515 * [backup-simplify]: Simplify 0 into 0
4.515 * [backup-simplify]: Simplify 1 into 1
4.515 * [backup-simplify]: Simplify (* 1 1) into 1
4.516 * [backup-simplify]: Simplify (/ 1 1) into 1
4.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.516 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.516 * [taylor]: Taking taylor expansion of re in im
4.516 * [backup-simplify]: Simplify re into re
4.516 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.516 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.516 * [backup-simplify]: Simplify (+ 1 0) into 1
4.517 * [backup-simplify]: Simplify (sqrt 1) into 1
4.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.519 * [backup-simplify]: Simplify (+ 0 0) into 0
4.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.519 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.519 * [taylor]: Taking taylor expansion of re in im
4.519 * [backup-simplify]: Simplify re into re
4.520 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.520 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.520 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.520 * [taylor]: Taking taylor expansion of im in re
4.520 * [backup-simplify]: Simplify im into im
4.520 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.520 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.520 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.520 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.520 * [taylor]: Taking taylor expansion of re in re
4.520 * [backup-simplify]: Simplify 0 into 0
4.520 * [backup-simplify]: Simplify 1 into 1
4.521 * [backup-simplify]: Simplify (* 1 1) into 1
4.521 * [backup-simplify]: Simplify (/ 1 1) into 1
4.522 * [backup-simplify]: Simplify (+ 0 1) into 1
4.522 * [backup-simplify]: Simplify (sqrt 1) into 1
4.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.527 * [backup-simplify]: Simplify (+ 0 0) into 0
4.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.528 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.528 * [taylor]: Taking taylor expansion of re in re
4.528 * [backup-simplify]: Simplify 0 into 0
4.528 * [backup-simplify]: Simplify 1 into 1
4.528 * [backup-simplify]: Simplify (/ 1 1) into 1
4.529 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.529 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.529 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.529 * [taylor]: Taking taylor expansion of im in re
4.529 * [backup-simplify]: Simplify im into im
4.529 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.529 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.529 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.529 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.529 * [taylor]: Taking taylor expansion of re in re
4.529 * [backup-simplify]: Simplify 0 into 0
4.529 * [backup-simplify]: Simplify 1 into 1
4.530 * [backup-simplify]: Simplify (* 1 1) into 1
4.530 * [backup-simplify]: Simplify (/ 1 1) into 1
4.530 * [backup-simplify]: Simplify (+ 0 1) into 1
4.531 * [backup-simplify]: Simplify (sqrt 1) into 1
4.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.533 * [backup-simplify]: Simplify (+ 0 0) into 0
4.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.533 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.533 * [taylor]: Taking taylor expansion of re in re
4.533 * [backup-simplify]: Simplify 0 into 0
4.533 * [backup-simplify]: Simplify 1 into 1
4.534 * [backup-simplify]: Simplify (/ 1 1) into 1
4.534 * [backup-simplify]: Simplify (- 1) into -1
4.535 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.535 * [taylor]: Taking taylor expansion of 0 in im
4.535 * [backup-simplify]: Simplify 0 into 0
4.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.536 * [backup-simplify]: Simplify (- 0) into 0
4.536 * [backup-simplify]: Simplify (+ 0 0) into 0
4.536 * [taylor]: Taking taylor expansion of 0 in im
4.536 * [backup-simplify]: Simplify 0 into 0
4.536 * [backup-simplify]: Simplify 0 into 0
4.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.539 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.540 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.542 * [backup-simplify]: Simplify (- 0) into 0
4.542 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.542 * [taylor]: Taking taylor expansion of 1/2 in im
4.542 * [backup-simplify]: Simplify 1/2 into 1/2
4.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.542 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.542 * [taylor]: Taking taylor expansion of im in im
4.542 * [backup-simplify]: Simplify 0 into 0
4.542 * [backup-simplify]: Simplify 1 into 1
4.543 * [backup-simplify]: Simplify (* 1 1) into 1
4.543 * [backup-simplify]: Simplify (/ 1 1) into 1
4.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.548 * [backup-simplify]: Simplify (+ 0 0) into 0
4.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.550 * [backup-simplify]: Simplify (- 0) into 0
4.550 * [backup-simplify]: Simplify (+ 0 0) into 0
4.550 * [taylor]: Taking taylor expansion of 0 in im
4.550 * [backup-simplify]: Simplify 0 into 0
4.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.552 * [backup-simplify]: Simplify 0 into 0
4.552 * [backup-simplify]: Simplify 0 into 0
4.552 * [backup-simplify]: Simplify 0 into 0
4.552 * [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)))))
4.552 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
4.552 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.552 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.552 * [taylor]: Taking taylor expansion of re in im
4.552 * [backup-simplify]: Simplify re into re
4.552 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.552 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.552 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.552 * [taylor]: Taking taylor expansion of im in im
4.552 * [backup-simplify]: Simplify 0 into 0
4.552 * [backup-simplify]: Simplify 1 into 1
4.553 * [backup-simplify]: Simplify (* 1 1) into 1
4.553 * [backup-simplify]: Simplify (/ 1 1) into 1
4.553 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.553 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.553 * [taylor]: Taking taylor expansion of re in im
4.553 * [backup-simplify]: Simplify re into re
4.553 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.553 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.553 * [backup-simplify]: Simplify (+ 1 0) into 1
4.554 * [backup-simplify]: Simplify (sqrt 1) into 1
4.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.555 * [backup-simplify]: Simplify (+ 0 0) into 0
4.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.555 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.555 * [taylor]: Taking taylor expansion of re in re
4.555 * [backup-simplify]: Simplify 0 into 0
4.555 * [backup-simplify]: Simplify 1 into 1
4.555 * [backup-simplify]: Simplify (/ 1 1) into 1
4.555 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.556 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.556 * [taylor]: Taking taylor expansion of im in re
4.556 * [backup-simplify]: Simplify im into im
4.556 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.556 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.556 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.556 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.556 * [taylor]: Taking taylor expansion of re in re
4.556 * [backup-simplify]: Simplify 0 into 0
4.556 * [backup-simplify]: Simplify 1 into 1
4.556 * [backup-simplify]: Simplify (* 1 1) into 1
4.556 * [backup-simplify]: Simplify (/ 1 1) into 1
4.557 * [backup-simplify]: Simplify (+ 0 1) into 1
4.557 * [backup-simplify]: Simplify (sqrt 1) into 1
4.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.558 * [backup-simplify]: Simplify (+ 0 0) into 0
4.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.558 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.558 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.558 * [taylor]: Taking taylor expansion of re in re
4.558 * [backup-simplify]: Simplify 0 into 0
4.558 * [backup-simplify]: Simplify 1 into 1
4.559 * [backup-simplify]: Simplify (/ 1 1) into 1
4.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.559 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.559 * [taylor]: Taking taylor expansion of im in re
4.559 * [backup-simplify]: Simplify im into im
4.559 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.559 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.559 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.559 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.559 * [taylor]: Taking taylor expansion of re in re
4.559 * [backup-simplify]: Simplify 0 into 0
4.559 * [backup-simplify]: Simplify 1 into 1
4.560 * [backup-simplify]: Simplify (* 1 1) into 1
4.560 * [backup-simplify]: Simplify (/ 1 1) into 1
4.560 * [backup-simplify]: Simplify (+ 0 1) into 1
4.561 * [backup-simplify]: Simplify (sqrt 1) into 1
4.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.562 * [backup-simplify]: Simplify (+ 0 0) into 0
4.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.562 * [backup-simplify]: Simplify (+ 1 1) into 2
4.562 * [taylor]: Taking taylor expansion of 2 in im
4.562 * [backup-simplify]: Simplify 2 into 2
4.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.563 * [backup-simplify]: Simplify (+ 0 0) into 0
4.563 * [taylor]: Taking taylor expansion of 0 in im
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify 2 into 2
4.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.565 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.566 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.566 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.566 * [taylor]: Taking taylor expansion of 1/2 in im
4.566 * [backup-simplify]: Simplify 1/2 into 1/2
4.566 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.566 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.566 * [taylor]: Taking taylor expansion of im in im
4.566 * [backup-simplify]: Simplify 0 into 0
4.566 * [backup-simplify]: Simplify 1 into 1
4.567 * [backup-simplify]: Simplify (* 1 1) into 1
4.567 * [backup-simplify]: Simplify (/ 1 1) into 1
4.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.569 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.570 * [backup-simplify]: Simplify (+ 0 0) into 0
4.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.571 * [backup-simplify]: Simplify (+ 0 0) into 0
4.571 * [taylor]: Taking taylor expansion of 0 in im
4.571 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
4.573 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
4.573 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
4.573 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0
4.573 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
4.573 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
4.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.573 * [taylor]: Taking taylor expansion of 2.0 in re
4.573 * [backup-simplify]: Simplify 2.0 into 2.0
4.574 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.574 * [taylor]: Taking taylor expansion of im in re
4.574 * [backup-simplify]: Simplify im into im
4.574 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
4.574 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
4.574 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.574 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.574 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.574 * [taylor]: Taking taylor expansion of re in re
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 1 into 1
4.574 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.574 * [taylor]: Taking taylor expansion of im in re
4.574 * [backup-simplify]: Simplify im into im
4.575 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.575 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.575 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.575 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.575 * [backup-simplify]: Simplify (+ 0 0) into 0
4.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.575 * [taylor]: Taking taylor expansion of re in re
4.575 * [backup-simplify]: Simplify 0 into 0
4.575 * [backup-simplify]: Simplify 1 into 1
4.575 * [backup-simplify]: Simplify (- 0) into 0
4.576 * [backup-simplify]: Simplify (+ im 0) into im
4.576 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.576 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
4.576 * [backup-simplify]: Simplify (- 1) into -1
4.576 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
4.576 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
4.576 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
4.576 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.576 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.577 * [taylor]: Taking taylor expansion of 2.0 in im
4.577 * [backup-simplify]: Simplify 2.0 into 2.0
4.577 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.577 * [taylor]: Taking taylor expansion of im in im
4.577 * [backup-simplify]: Simplify 0 into 0
4.577 * [backup-simplify]: Simplify 1 into 1
4.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
4.577 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
4.577 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
4.577 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.577 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.577 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.577 * [taylor]: Taking taylor expansion of re in im
4.577 * [backup-simplify]: Simplify re into re
4.577 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.577 * [taylor]: Taking taylor expansion of im in im
4.577 * [backup-simplify]: Simplify 0 into 0
4.577 * [backup-simplify]: Simplify 1 into 1
4.578 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.578 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.578 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.578 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.578 * [backup-simplify]: Simplify (+ 0 0) into 0
4.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.578 * [taylor]: Taking taylor expansion of re in im
4.578 * [backup-simplify]: Simplify re into re
4.578 * [backup-simplify]: Simplify (- re) into (- re)
4.578 * [backup-simplify]: Simplify (+ re (- re)) into 0
4.579 * [backup-simplify]: Simplify (- 0) into 0
4.579 * [backup-simplify]: Simplify (+ 0 0) into 0
4.579 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.579 * [backup-simplify]: Simplify (* 1 1) into 1
4.580 * [backup-simplify]: Simplify (+ 0 1) into 1
4.580 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
4.580 * [backup-simplify]: Simplify (- 0) into 0
4.580 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
4.580 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
4.580 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
4.581 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
4.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.582 * [backup-simplify]: Simplify (+ 0 0) into 0
4.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
4.583 * [backup-simplify]: Simplify (- 0) into 0
4.583 * [backup-simplify]: Simplify (+ 0 0) into 0
4.583 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
4.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
4.584 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
4.584 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.584 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.584 * [taylor]: Taking taylor expansion of 2.0 in im
4.584 * [backup-simplify]: Simplify 2.0 into 2.0
4.584 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.585 * [taylor]: Taking taylor expansion of im in im
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 1 into 1
4.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
4.585 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
4.585 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
4.585 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.585 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.585 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.585 * [taylor]: Taking taylor expansion of re in im
4.585 * [backup-simplify]: Simplify re into re
4.585 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.585 * [taylor]: Taking taylor expansion of im in im
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 1 into 1
4.585 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.586 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.586 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.586 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.586 * [backup-simplify]: Simplify (+ 0 0) into 0
4.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.587 * [taylor]: Taking taylor expansion of re in im
4.587 * [backup-simplify]: Simplify re into re
4.587 * [backup-simplify]: Simplify (- re) into (- re)
4.587 * [backup-simplify]: Simplify (+ re (- re)) into 0
4.587 * [backup-simplify]: Simplify (- 0) into 0
4.588 * [backup-simplify]: Simplify (+ 0 0) into 0
4.588 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.588 * [backup-simplify]: Simplify (* 1 1) into 1
4.589 * [backup-simplify]: Simplify (+ 0 1) into 1
4.590 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
4.590 * [backup-simplify]: Simplify (- 0) into 0
4.590 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
4.591 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
4.591 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
4.592 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
4.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.593 * [backup-simplify]: Simplify (+ 0 0) into 0
4.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
4.594 * [backup-simplify]: Simplify (- 0) into 0
4.594 * [backup-simplify]: Simplify (+ 0 0) into 0
4.594 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
4.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
4.595 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.595 * [backup-simplify]: Simplify (* 0 (* (sqrt re) (sqrt 2))) into 0
4.596 * [taylor]: Taking taylor expansion of 0 in re
4.596 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
4.599 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt re) (sqrt 2)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
4.599 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
4.599 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
4.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.599 * [taylor]: Taking taylor expansion of 2.0 in re
4.599 * [backup-simplify]: Simplify 2.0 into 2.0
4.600 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.601 * [taylor]: Taking taylor expansion of (sqrt 2) in re
4.601 * [taylor]: Taking taylor expansion of 2 in re
4.601 * [backup-simplify]: Simplify 2 into 2
4.601 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.602 * [taylor]: Taking taylor expansion of (sqrt re) in re
4.602 * [taylor]: Taking taylor expansion of re in re
4.602 * [backup-simplify]: Simplify 0 into 0
4.602 * [backup-simplify]: Simplify 1 into 1
4.603 * [backup-simplify]: Simplify (sqrt 0) into 0
4.604 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.606 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
4.606 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
4.606 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
4.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.609 * [backup-simplify]: Simplify (+ 0 0) into 0
4.610 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
4.610 * [backup-simplify]: Simplify (- 0) into 0
4.610 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
4.610 * [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))
4.611 * [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))))
4.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.613 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
4.614 * [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
4.614 * [taylor]: Taking taylor expansion of 0 in re
4.614 * [backup-simplify]: Simplify 0 into 0
4.614 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
4.617 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
4.619 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
4.619 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
4.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.621 * [backup-simplify]: Simplify (+ 0 0) into 0
4.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
4.621 * [backup-simplify]: Simplify (- 0) into 0
4.621 * [backup-simplify]: Simplify (+ 0 0) into 0
4.622 * [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
4.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))))))) (* 2 (* (sqrt re) (sqrt 2)))) into 0
4.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.624 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.626 * [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)))))
4.626 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
4.626 * [taylor]: Taking taylor expansion of 1/4 in re
4.626 * [backup-simplify]: Simplify 1/4 into 1/4
4.626 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
4.626 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
4.626 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.626 * [taylor]: Taking taylor expansion of 2.0 in re
4.626 * [backup-simplify]: Simplify 2.0 into 2.0
4.627 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.627 * [taylor]: Taking taylor expansion of (sqrt 2) in re
4.627 * [taylor]: Taking taylor expansion of 2 in re
4.627 * [backup-simplify]: Simplify 2 into 2
4.627 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.629 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
4.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
4.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
4.629 * [taylor]: Taking taylor expansion of (pow re 3) in re
4.629 * [taylor]: Taking taylor expansion of re in re
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify 1 into 1
4.629 * [backup-simplify]: Simplify (* 1 1) into 1
4.629 * [backup-simplify]: Simplify (* 1 1) into 1
4.630 * [backup-simplify]: Simplify (/ 1 1) into 1
4.630 * [backup-simplify]: Simplify (sqrt 0) into 0
4.631 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.634 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.635 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
4.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.636 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
4.637 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
4.640 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
4.648 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
4.649 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
4.658 * [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))))
4.662 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
4.662 * [backup-simplify]: Simplify 0 into 0
4.665 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.666 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
4.668 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.669 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
4.674 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
4.678 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
4.690 * [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)))))))))
4.690 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* (/ 1 im) (/ 1 im)) 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)))))
4.691 * [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
4.691 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
4.691 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
4.691 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.691 * [taylor]: Taking taylor expansion of 2.0 in re
4.691 * [backup-simplify]: Simplify 2.0 into 2.0
4.691 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.692 * [taylor]: Taking taylor expansion of im in re
4.692 * [backup-simplify]: Simplify im into im
4.693 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
4.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
4.693 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
4.693 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.693 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.693 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.693 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.693 * [taylor]: Taking taylor expansion of im in re
4.693 * [backup-simplify]: Simplify im into im
4.693 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.693 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.693 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.693 * [taylor]: Taking taylor expansion of re in re
4.693 * [backup-simplify]: Simplify 0 into 0
4.693 * [backup-simplify]: Simplify 1 into 1
4.694 * [backup-simplify]: Simplify (* 1 1) into 1
4.694 * [backup-simplify]: Simplify (/ 1 1) into 1
4.695 * [backup-simplify]: Simplify (+ 0 1) into 1
4.695 * [backup-simplify]: Simplify (sqrt 1) into 1
4.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.697 * [backup-simplify]: Simplify (+ 0 0) into 0
4.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.698 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.698 * [taylor]: Taking taylor expansion of re in re
4.698 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify 1 into 1
4.698 * [backup-simplify]: Simplify (/ 1 1) into 1
4.699 * [backup-simplify]: Simplify (- 1) into -1
4.699 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.700 * [backup-simplify]: Simplify (- 0) into 0
4.701 * [backup-simplify]: Simplify (+ 0 0) into 0
4.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.702 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.703 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.704 * [backup-simplify]: Simplify (- 0) into 0
4.704 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.704 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
4.704 * [backup-simplify]: Simplify (sqrt 0) into 0
4.705 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
4.705 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
4.705 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.705 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.705 * [taylor]: Taking taylor expansion of 2.0 in im
4.705 * [backup-simplify]: Simplify 2.0 into 2.0
4.705 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.706 * [taylor]: Taking taylor expansion of im in im
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify 1 into 1
4.706 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
4.706 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
4.706 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.706 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.706 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.706 * [taylor]: Taking taylor expansion of im in im
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify 1 into 1
4.707 * [backup-simplify]: Simplify (* 1 1) into 1
4.707 * [backup-simplify]: Simplify (/ 1 1) into 1
4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.707 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.707 * [taylor]: Taking taylor expansion of re in im
4.707 * [backup-simplify]: Simplify re into re
4.707 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.707 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.707 * [backup-simplify]: Simplify (+ 1 0) into 1
4.708 * [backup-simplify]: Simplify (sqrt 1) into 1
4.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.709 * [backup-simplify]: Simplify (+ 0 0) into 0
4.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.709 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.709 * [taylor]: Taking taylor expansion of re in im
4.709 * [backup-simplify]: Simplify re into re
4.709 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.710 * [backup-simplify]: Simplify (+ 1 0) into 1
4.710 * [backup-simplify]: Simplify (/ 1 1) into 1
4.710 * [backup-simplify]: Simplify (sqrt 0) into 0
4.711 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.711 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
4.711 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.711 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.711 * [taylor]: Taking taylor expansion of 2.0 in im
4.711 * [backup-simplify]: Simplify 2.0 into 2.0
4.712 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.712 * [taylor]: Taking taylor expansion of im in im
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify 1 into 1
4.713 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
4.713 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
4.713 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.713 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.713 * [taylor]: Taking taylor expansion of im in im
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 1 into 1
4.713 * [backup-simplify]: Simplify (* 1 1) into 1
4.713 * [backup-simplify]: Simplify (/ 1 1) into 1
4.713 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.713 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.713 * [taylor]: Taking taylor expansion of re in im
4.713 * [backup-simplify]: Simplify re into re
4.713 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.714 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.714 * [backup-simplify]: Simplify (+ 1 0) into 1
4.714 * [backup-simplify]: Simplify (sqrt 1) into 1
4.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.715 * [backup-simplify]: Simplify (+ 0 0) into 0
4.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.716 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.716 * [taylor]: Taking taylor expansion of re in im
4.716 * [backup-simplify]: Simplify re into re
4.716 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.716 * [backup-simplify]: Simplify (+ 1 0) into 1
4.716 * [backup-simplify]: Simplify (/ 1 1) into 1
4.717 * [backup-simplify]: Simplify (sqrt 0) into 0
4.717 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.718 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.718 * [taylor]: Taking taylor expansion of 0 in re
4.718 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.720 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.720 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
4.720 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.720 * [taylor]: Taking taylor expansion of +nan.0 in re
4.720 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.720 * [taylor]: Taking taylor expansion of 2.0 in re
4.720 * [backup-simplify]: Simplify 2.0 into 2.0
4.721 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
4.721 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
4.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
4.723 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
4.723 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.725 * [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)))))
4.725 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
4.725 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
4.725 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.725 * [taylor]: Taking taylor expansion of +nan.0 in re
4.725 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.725 * [taylor]: Taking taylor expansion of 2.0 in re
4.725 * [backup-simplify]: Simplify 2.0 into 2.0
4.725 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.726 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
4.726 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
4.726 * [taylor]: Taking taylor expansion of +nan.0 in re
4.726 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.726 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
4.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.726 * [taylor]: Taking taylor expansion of 2.0 in re
4.726 * [backup-simplify]: Simplify 2.0 into 2.0
4.726 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.727 * [taylor]: Taking taylor expansion of re in re
4.727 * [backup-simplify]: Simplify 0 into 0
4.727 * [backup-simplify]: Simplify 1 into 1
4.727 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.728 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.729 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.730 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.732 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.732 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.733 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.734 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.735 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.735 * [backup-simplify]: Simplify 0 into 0
4.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.736 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
4.737 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
4.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.738 * [backup-simplify]: Simplify (- 0) into 0
4.738 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
4.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
4.739 * [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))))
4.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.741 * [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)))))))
4.741 * [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
4.742 * [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
4.742 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.742 * [taylor]: Taking taylor expansion of +nan.0 in re
4.742 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.742 * [taylor]: Taking taylor expansion of 2.0 in re
4.742 * [backup-simplify]: Simplify 2.0 into 2.0
4.742 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.742 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
4.742 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
4.742 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
4.743 * [taylor]: Taking taylor expansion of +nan.0 in re
4.743 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.743 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
4.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.743 * [taylor]: Taking taylor expansion of 2.0 in re
4.743 * [backup-simplify]: Simplify 2.0 into 2.0
4.743 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.743 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.743 * [taylor]: Taking taylor expansion of re in re
4.743 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify 1 into 1
4.744 * [backup-simplify]: Simplify (* 1 1) into 1
4.744 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.744 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
4.744 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
4.744 * [taylor]: Taking taylor expansion of +nan.0 in re
4.744 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.744 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
4.744 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.744 * [taylor]: Taking taylor expansion of 2.0 in re
4.744 * [backup-simplify]: Simplify 2.0 into 2.0
4.745 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.745 * [taylor]: Taking taylor expansion of re in re
4.745 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify 1 into 1
4.746 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.747 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.748 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.749 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.750 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.751 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.753 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.754 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.755 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.758 * [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))))))))
4.759 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* (/ 1 (- im)) (/ 1 (- im))) 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))))))))
4.759 * [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
4.759 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
4.759 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
4.759 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.759 * [taylor]: Taking taylor expansion of 2.0 in re
4.759 * [backup-simplify]: Simplify 2.0 into 2.0
4.759 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.760 * [taylor]: Taking taylor expansion of im in re
4.760 * [backup-simplify]: Simplify im into im
4.765 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
4.765 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
4.765 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.765 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.766 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.766 * [taylor]: Taking taylor expansion of re in re
4.766 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify 1 into 1
4.766 * [backup-simplify]: Simplify (/ 1 1) into 1
4.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.766 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.766 * [taylor]: Taking taylor expansion of im in re
4.766 * [backup-simplify]: Simplify im into im
4.766 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.766 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.766 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.766 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.766 * [taylor]: Taking taylor expansion of re in re
4.766 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify 1 into 1
4.767 * [backup-simplify]: Simplify (* 1 1) into 1
4.767 * [backup-simplify]: Simplify (/ 1 1) into 1
4.767 * [backup-simplify]: Simplify (+ 0 1) into 1
4.768 * [backup-simplify]: Simplify (sqrt 1) into 1
4.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.769 * [backup-simplify]: Simplify (+ 0 0) into 0
4.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.769 * [backup-simplify]: Simplify (+ 1 1) into 2
4.770 * [backup-simplify]: Simplify (/ 1 2) into 1/2
4.770 * [backup-simplify]: Simplify (sqrt 0) into 0
4.771 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
4.771 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
4.771 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.771 * [taylor]: Taking taylor expansion of 2.0 in im
4.771 * [backup-simplify]: Simplify 2.0 into 2.0
4.772 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.772 * [taylor]: Taking taylor expansion of im in im
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify 1 into 1
4.773 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.773 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
4.773 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.773 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.773 * [taylor]: Taking taylor expansion of re in im
4.773 * [backup-simplify]: Simplify re into re
4.773 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.773 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.773 * [taylor]: Taking taylor expansion of im in im
4.773 * [backup-simplify]: Simplify 0 into 0
4.773 * [backup-simplify]: Simplify 1 into 1
4.774 * [backup-simplify]: Simplify (* 1 1) into 1
4.774 * [backup-simplify]: Simplify (/ 1 1) into 1
4.774 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.774 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.774 * [taylor]: Taking taylor expansion of re in im
4.774 * [backup-simplify]: Simplify re into re
4.774 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.774 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.775 * [backup-simplify]: Simplify (+ 1 0) into 1
4.775 * [backup-simplify]: Simplify (sqrt 1) into 1
4.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.776 * [backup-simplify]: Simplify (+ 0 0) into 0
4.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.777 * [backup-simplify]: Simplify (+ 0 1) into 1
4.777 * [backup-simplify]: Simplify (/ 1 1) into 1
4.777 * [backup-simplify]: Simplify (sqrt 0) into 0
4.778 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.778 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
4.778 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.778 * [taylor]: Taking taylor expansion of 2.0 in im
4.778 * [backup-simplify]: Simplify 2.0 into 2.0
4.778 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
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 (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.780 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
4.780 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.780 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.780 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.780 * [taylor]: Taking taylor expansion of re in im
4.780 * [backup-simplify]: Simplify re into re
4.780 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.780 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.780 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.780 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.780 * [taylor]: Taking taylor expansion of im in im
4.780 * [backup-simplify]: Simplify 0 into 0
4.780 * [backup-simplify]: Simplify 1 into 1
4.780 * [backup-simplify]: Simplify (* 1 1) into 1
4.780 * [backup-simplify]: Simplify (/ 1 1) into 1
4.780 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.780 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.780 * [taylor]: Taking taylor expansion of re in im
4.780 * [backup-simplify]: Simplify re into re
4.780 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.781 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.781 * [backup-simplify]: Simplify (+ 1 0) into 1
4.781 * [backup-simplify]: Simplify (sqrt 1) into 1
4.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.782 * [backup-simplify]: Simplify (+ 0 0) into 0
4.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.783 * [backup-simplify]: Simplify (+ 0 1) into 1
4.783 * [backup-simplify]: Simplify (/ 1 1) into 1
4.783 * [backup-simplify]: Simplify (sqrt 0) into 0
4.784 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.785 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.785 * [taylor]: Taking taylor expansion of 0 in re
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.787 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.787 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
4.787 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.787 * [taylor]: Taking taylor expansion of +nan.0 in re
4.787 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.787 * [taylor]: Taking taylor expansion of 2.0 in re
4.787 * [backup-simplify]: Simplify 2.0 into 2.0
4.787 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.788 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.789 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.790 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.790 * [backup-simplify]: Simplify 0 into 0
4.790 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
4.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
4.791 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
4.792 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.793 * [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)))))
4.793 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
4.793 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
4.793 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.793 * [taylor]: Taking taylor expansion of +nan.0 in re
4.793 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.793 * [taylor]: Taking taylor expansion of 2.0 in re
4.793 * [backup-simplify]: Simplify 2.0 into 2.0
4.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.794 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
4.794 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
4.794 * [taylor]: Taking taylor expansion of +nan.0 in re
4.794 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.794 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
4.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.794 * [taylor]: Taking taylor expansion of 2.0 in re
4.794 * [backup-simplify]: Simplify 2.0 into 2.0
4.795 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.795 * [taylor]: Taking taylor expansion of re in re
4.795 * [backup-simplify]: Simplify 0 into 0
4.795 * [backup-simplify]: Simplify 1 into 1
4.796 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.796 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.797 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.798 * [backup-simplify]: Simplify (- 0) into 0
4.799 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
4.800 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.801 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.801 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.802 * [backup-simplify]: Simplify (- 0) into 0
4.802 * [backup-simplify]: Simplify 0 into 0
4.802 * [backup-simplify]: Simplify 0 into 0
4.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.803 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
4.804 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
4.804 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
4.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
4.805 * [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))))
4.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.808 * [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)))))))
4.808 * [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
4.808 * [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
4.808 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.808 * [taylor]: Taking taylor expansion of +nan.0 in re
4.809 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.809 * [taylor]: Taking taylor expansion of 2.0 in re
4.809 * [backup-simplify]: Simplify 2.0 into 2.0
4.809 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.809 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
4.809 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
4.809 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
4.809 * [taylor]: Taking taylor expansion of +nan.0 in re
4.809 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.809 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
4.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.809 * [taylor]: Taking taylor expansion of 2.0 in re
4.809 * [backup-simplify]: Simplify 2.0 into 2.0
4.810 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.810 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.810 * [taylor]: Taking taylor expansion of re in re
4.810 * [backup-simplify]: Simplify 0 into 0
4.810 * [backup-simplify]: Simplify 1 into 1
4.810 * [backup-simplify]: Simplify (* 1 1) into 1
4.811 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.811 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
4.811 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
4.811 * [taylor]: Taking taylor expansion of +nan.0 in re
4.811 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.811 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
4.811 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.811 * [taylor]: Taking taylor expansion of 2.0 in re
4.811 * [backup-simplify]: Simplify 2.0 into 2.0
4.811 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.812 * [taylor]: Taking taylor expansion of re in re
4.812 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify 1 into 1
4.813 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.813 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.814 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.817 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
4.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.818 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.818 * [backup-simplify]: Simplify (- 0) into 0
4.818 * [backup-simplify]: Simplify (+ 0 0) into 0
4.819 * [backup-simplify]: Simplify (- 0) into 0
4.820 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
4.822 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.824 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.829 * [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)))))))
4.829 * * * [progress]: simplifying candidates
4.833 * [simplify]: Simplifying:
  (log (sqrt (* 2.0 (+ (* im im) 0))))
  (exp (sqrt (* 2.0 (+ (* im im) 0))))
  (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0)))))
  (cbrt (sqrt (* 2.0 (+ (* im im) 0))))
  (* (* (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (* 2.0 (+ (* im im) 0))))
  (sqrt 2.0)
  (sqrt (+ (* im im) 0))
  (sqrt (* 2.0 (+ (pow (* im im) 3) (pow 0 3))))
  (sqrt (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0))))
  (sqrt (* 2.0 (- (* (* im im) (* im im)) (* 0 0))))
  (sqrt (- (* im im) 0))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (* im im) 0))))
  (sqrt (sqrt (* 2.0 (+ (* im im) 0))))
  (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)
  (- (log (sqrt (* 2.0 (+ (* im im) 0)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (* 2.0 (+ (* im im) 0)))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt (* 2.0 (+ (* im im) 0))))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt 1))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt 1))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) 1)
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (+ (* im im) 0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt 1))
  (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt 1))
  (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) 1)
  (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt 1))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt 1))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) 1)
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 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 (* 2.0 (+ (* im im) 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 (* 2.0 (+ (* im im) 0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 1)
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (* im im) 0))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt 1))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt 1))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) 1)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (+ (* im im) 0)))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (* im im) 0)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (+ (* im im) 0)))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (* im im) 0))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0)))))
  (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (* im im) 0)))
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (* -1 (* (sqrt 2.0) im))
  im
  re
  (* -1 re)
  (- 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)))))))
4.841 * * [simplify]: Extracting # 0 : cost  0
4.842 * * [simplify]: Extracting # 1 : cost  0
4.842 * * [simplify]: Extracting # 2 : cost  0
4.842 * * [simplify]: Extracting # 3 : cost  0
4.843 * * [simplify]: Extracting # 4 : cost  0
4.843 * * [simplify]: Extracting # 5 : cost  0
4.844 * * [simplify]: Extracting # 6 : cost  0
4.844 * * [simplify]: Extracting # 7 : cost  0
4.845 * * [simplify]: Extracting # 8 : cost  0
4.845 * * [simplify]: Extracting # 9 : cost  0
4.846 * * [simplify]: Extracting # 10 : cost  0
4.846 * * [simplify]: Extracting # 11 : cost  0
4.847 * * [simplify]: Extracting # 12 : cost  0
4.848 * * [simplify]: Extracting # 13 : cost  0
4.848 * * [simplify]: Extracting # 14 : cost  0
4.849 * * [simplify]: Extracting # 15 : cost  0
4.849 * * [simplify]: iteration  0 :  212  enodes  (cost  2952 )
4.914 * * [simplify]: Extracting # 0 : cost  0
4.915 * * [simplify]: Extracting # 1 : cost  0
4.916 * * [simplify]: Extracting # 2 : cost  0
4.917 * * [simplify]: Extracting # 3 : cost  0
4.918 * * [simplify]: Extracting # 4 : cost  0
4.919 * * [simplify]: iteration  1 :  473  enodes  (cost  2509 )
5.236 * * [simplify]: Extracting # 0 : cost  0
5.239 * * [simplify]: Extracting # 1 : cost  0
5.242 * * [simplify]: Extracting # 2 : cost  0
5.244 * * [simplify]: Extracting # 3 : cost  0
5.247 * * [simplify]: Extracting # 4 : cost  0
5.250 * * [simplify]: iteration  2 :  2240  enodes  (cost  2366 )
6.193 * * [simplify]: Extracting # 0 : cost  0
6.207 * * [simplify]: Extracting # 1 : cost  0
6.218 * * [simplify]: Extracting # 2 : cost  0
6.230 * * [simplify]: Extracting # 3 : cost  0
6.240 * * [simplify]: Extracting # 4 : cost  0
6.251 * * [simplify]: iteration done:  5000  enodes  (cost  2346 )
6.253 * [simplify]: Simplified to:
  (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)
  (sqrt 2.0)
  (fabs im)
  (sqrt (* 2.0 (pow im 6)))
  (sqrt (pow im 4))
  (sqrt (* 2.0 (pow im 4)))
  (fabs im)
  1/2
  1/2
  (sqrt (sqrt (* (* im im) 2.0)))
  (sqrt (sqrt (* (* im im) 2.0)))
  (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 (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (- (sqrt (+ (* 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 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)
  (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 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)))) (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)))
  (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) 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 (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (sqrt 2.0)
  (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (/ (fabs im) (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)) (fabs im))
  (/ (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))
  (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (pow im 4)))
  (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im))
  (* im (sqrt 2.0))
  (* im (sqrt 2.0))
  (- (* (sqrt 2.0) im))
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
  (+ (* +nan.0 (- (* (sqrt 2.0) (* (sqrt 2) re)) (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)))))
  (+ (- (* +nan.0 (sqrt 2.0))) (* +nan.0 (- (/ (* (sqrt 2.0) re) im) (/ (* (sqrt 2.0) re) (pow im 2)))))
  (+ (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0))))
6.255 * * * [progress]: adding candidates to table
6.939 * * [progress]: iteration 4 / 4
6.939 * * * [progress]: picking best candidate
6.989 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))>
6.989 * * * [progress]: localizing error
7.012 * * * [progress]: generating rewritten candidates
7.012 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1)
7.021 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1)
7.092 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
7.239 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
7.291 * * * [progress]: generating series expansions
7.291 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1)
7.292 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
7.292 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
7.292 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.292 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.292 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.292 * [taylor]: Taking taylor expansion of re in im
7.292 * [backup-simplify]: Simplify re into re
7.292 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.292 * [taylor]: Taking taylor expansion of im in im
7.292 * [backup-simplify]: Simplify 0 into 0
7.292 * [backup-simplify]: Simplify 1 into 1
7.292 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.292 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.292 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.292 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.293 * [backup-simplify]: Simplify (+ 0 0) into 0
7.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.293 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.293 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.293 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.293 * [taylor]: Taking taylor expansion of re in re
7.293 * [backup-simplify]: Simplify 0 into 0
7.293 * [backup-simplify]: Simplify 1 into 1
7.293 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.293 * [taylor]: Taking taylor expansion of im in re
7.293 * [backup-simplify]: Simplify im into im
7.293 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.293 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.294 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.294 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.294 * [backup-simplify]: Simplify (+ 0 0) into 0
7.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.294 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.294 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.295 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.295 * [taylor]: Taking taylor expansion of re in re
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify 1 into 1
7.295 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.295 * [taylor]: Taking taylor expansion of im in re
7.295 * [backup-simplify]: Simplify im into im
7.295 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.295 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.295 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.295 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.296 * [backup-simplify]: Simplify (+ 0 0) into 0
7.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.296 * [taylor]: Taking taylor expansion of im in im
7.296 * [backup-simplify]: Simplify 0 into 0
7.296 * [backup-simplify]: Simplify 1 into 1
7.296 * [backup-simplify]: Simplify 0 into 0
7.296 * [taylor]: Taking taylor expansion of 0 in im
7.296 * [backup-simplify]: Simplify 0 into 0
7.296 * [backup-simplify]: Simplify 0 into 0
7.296 * [backup-simplify]: Simplify 1 into 1
7.297 * [backup-simplify]: Simplify (* 1 1) into 1
7.297 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.298 * [backup-simplify]: Simplify (+ 1 0) into 1
7.298 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.298 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.298 * [taylor]: Taking taylor expansion of 1/2 in im
7.298 * [backup-simplify]: Simplify 1/2 into 1/2
7.299 * [taylor]: Taking taylor expansion of im in im
7.299 * [backup-simplify]: Simplify 0 into 0
7.299 * [backup-simplify]: Simplify 1 into 1
7.299 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.300 * [backup-simplify]: Simplify 0 into 0
7.300 * [backup-simplify]: Simplify 0 into 0
7.300 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.302 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.302 * [backup-simplify]: Simplify (+ 0 0) into 0
7.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.302 * [taylor]: Taking taylor expansion of 0 in im
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify 0 into 0
7.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.304 * [backup-simplify]: Simplify 0 into 0
7.304 * [backup-simplify]: Simplify 0 into 0
7.304 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.304 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
7.304 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
7.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.304 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.304 * [taylor]: Taking taylor expansion of im in im
7.304 * [backup-simplify]: Simplify 0 into 0
7.304 * [backup-simplify]: Simplify 1 into 1
7.305 * [backup-simplify]: Simplify (* 1 1) into 1
7.305 * [backup-simplify]: Simplify (/ 1 1) into 1
7.305 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.305 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.305 * [taylor]: Taking taylor expansion of re in im
7.305 * [backup-simplify]: Simplify re into re
7.306 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.306 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.306 * [backup-simplify]: Simplify (+ 1 0) into 1
7.307 * [backup-simplify]: Simplify (sqrt 1) into 1
7.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.308 * [backup-simplify]: Simplify (+ 0 0) into 0
7.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.309 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.309 * [taylor]: Taking taylor expansion of im in re
7.309 * [backup-simplify]: Simplify im into im
7.310 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.310 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.310 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.310 * [taylor]: Taking taylor expansion of re in re
7.310 * [backup-simplify]: Simplify 0 into 0
7.310 * [backup-simplify]: Simplify 1 into 1
7.310 * [backup-simplify]: Simplify (* 1 1) into 1
7.311 * [backup-simplify]: Simplify (/ 1 1) into 1
7.311 * [backup-simplify]: Simplify (+ 0 1) into 1
7.312 * [backup-simplify]: Simplify (sqrt 1) into 1
7.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.313 * [backup-simplify]: Simplify (+ 0 0) into 0
7.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.314 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.314 * [taylor]: Taking taylor expansion of im in re
7.314 * [backup-simplify]: Simplify im into im
7.314 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.314 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.315 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.315 * [taylor]: Taking taylor expansion of re in re
7.315 * [backup-simplify]: Simplify 0 into 0
7.315 * [backup-simplify]: Simplify 1 into 1
7.315 * [backup-simplify]: Simplify (* 1 1) into 1
7.315 * [backup-simplify]: Simplify (/ 1 1) into 1
7.316 * [backup-simplify]: Simplify (+ 0 1) into 1
7.316 * [backup-simplify]: Simplify (sqrt 1) into 1
7.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.318 * [backup-simplify]: Simplify (+ 0 0) into 0
7.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.319 * [taylor]: Taking taylor expansion of 1 in im
7.319 * [backup-simplify]: Simplify 1 into 1
7.319 * [taylor]: Taking taylor expansion of 0 in im
7.319 * [backup-simplify]: Simplify 0 into 0
7.319 * [backup-simplify]: Simplify 1 into 1
7.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.322 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.323 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.323 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.323 * [taylor]: Taking taylor expansion of 1/2 in im
7.323 * [backup-simplify]: Simplify 1/2 into 1/2
7.323 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.323 * [taylor]: Taking taylor expansion of im in im
7.323 * [backup-simplify]: Simplify 0 into 0
7.323 * [backup-simplify]: Simplify 1 into 1
7.324 * [backup-simplify]: Simplify (* 1 1) into 1
7.324 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.326 * [backup-simplify]: Simplify 0 into 0
7.326 * [backup-simplify]: Simplify 0 into 0
7.326 * [backup-simplify]: Simplify 0 into 0
7.326 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.329 * [backup-simplify]: Simplify (+ 0 0) into 0
7.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.330 * [taylor]: Taking taylor expansion of 0 in im
7.330 * [backup-simplify]: Simplify 0 into 0
7.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.332 * [backup-simplify]: Simplify 0 into 0
7.332 * [backup-simplify]: Simplify 0 into 0
7.332 * [backup-simplify]: Simplify 0 into 0
7.332 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.333 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
7.333 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
7.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.333 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.333 * [taylor]: Taking taylor expansion of im in im
7.333 * [backup-simplify]: Simplify 0 into 0
7.333 * [backup-simplify]: Simplify 1 into 1
7.333 * [backup-simplify]: Simplify (* 1 1) into 1
7.334 * [backup-simplify]: Simplify (/ 1 1) into 1
7.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.334 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.334 * [taylor]: Taking taylor expansion of re in im
7.334 * [backup-simplify]: Simplify re into re
7.334 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.334 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.335 * [backup-simplify]: Simplify (+ 1 0) into 1
7.335 * [backup-simplify]: Simplify (sqrt 1) into 1
7.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.337 * [backup-simplify]: Simplify (+ 0 0) into 0
7.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.338 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.338 * [taylor]: Taking taylor expansion of im in re
7.338 * [backup-simplify]: Simplify im into im
7.338 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.338 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.338 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.338 * [taylor]: Taking taylor expansion of re in re
7.338 * [backup-simplify]: Simplify 0 into 0
7.338 * [backup-simplify]: Simplify 1 into 1
7.339 * [backup-simplify]: Simplify (* 1 1) into 1
7.339 * [backup-simplify]: Simplify (/ 1 1) into 1
7.340 * [backup-simplify]: Simplify (+ 0 1) into 1
7.340 * [backup-simplify]: Simplify (sqrt 1) into 1
7.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.342 * [backup-simplify]: Simplify (+ 0 0) into 0
7.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.343 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.343 * [taylor]: Taking taylor expansion of im in re
7.343 * [backup-simplify]: Simplify im into im
7.343 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.343 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.343 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.343 * [taylor]: Taking taylor expansion of re in re
7.343 * [backup-simplify]: Simplify 0 into 0
7.343 * [backup-simplify]: Simplify 1 into 1
7.344 * [backup-simplify]: Simplify (* 1 1) into 1
7.344 * [backup-simplify]: Simplify (/ 1 1) into 1
7.345 * [backup-simplify]: Simplify (+ 0 1) into 1
7.345 * [backup-simplify]: Simplify (sqrt 1) into 1
7.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.347 * [backup-simplify]: Simplify (+ 0 0) into 0
7.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.348 * [taylor]: Taking taylor expansion of 1 in im
7.348 * [backup-simplify]: Simplify 1 into 1
7.348 * [taylor]: Taking taylor expansion of 0 in im
7.348 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify 1 into 1
7.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.350 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.351 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.351 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.351 * [taylor]: Taking taylor expansion of 1/2 in im
7.351 * [backup-simplify]: Simplify 1/2 into 1/2
7.351 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.351 * [taylor]: Taking taylor expansion of im in im
7.351 * [backup-simplify]: Simplify 0 into 0
7.352 * [backup-simplify]: Simplify 1 into 1
7.352 * [backup-simplify]: Simplify (* 1 1) into 1
7.352 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.354 * [backup-simplify]: Simplify 0 into 0
7.354 * [backup-simplify]: Simplify 0 into 0
7.354 * [backup-simplify]: Simplify 0 into 0
7.354 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.357 * [backup-simplify]: Simplify (+ 0 0) into 0
7.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.357 * [taylor]: Taking taylor expansion of 0 in im
7.357 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.359 * [backup-simplify]: Simplify 0 into 0
7.359 * [backup-simplify]: Simplify 0 into 0
7.359 * [backup-simplify]: Simplify 0 into 0
7.359 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.359 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1)
7.359 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
7.359 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
7.359 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
7.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.359 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.359 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.359 * [taylor]: Taking taylor expansion of re in im
7.359 * [backup-simplify]: Simplify re into re
7.359 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.359 * [taylor]: Taking taylor expansion of im in im
7.359 * [backup-simplify]: Simplify 0 into 0
7.359 * [backup-simplify]: Simplify 1 into 1
7.359 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.359 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.359 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.359 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.360 * [backup-simplify]: Simplify (+ 0 0) into 0
7.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.360 * [taylor]: Taking taylor expansion of re in im
7.360 * [backup-simplify]: Simplify re into re
7.360 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
7.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.360 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.360 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.360 * [taylor]: Taking taylor expansion of re in re
7.360 * [backup-simplify]: Simplify 0 into 0
7.360 * [backup-simplify]: Simplify 1 into 1
7.360 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.360 * [taylor]: Taking taylor expansion of im in re
7.360 * [backup-simplify]: Simplify im into im
7.360 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.360 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.360 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.360 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.361 * [backup-simplify]: Simplify (+ 0 0) into 0
7.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.361 * [taylor]: Taking taylor expansion of re in re
7.361 * [backup-simplify]: Simplify 0 into 0
7.361 * [backup-simplify]: Simplify 1 into 1
7.361 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
7.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.361 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.361 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.361 * [taylor]: Taking taylor expansion of re in re
7.361 * [backup-simplify]: Simplify 0 into 0
7.361 * [backup-simplify]: Simplify 1 into 1
7.361 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.361 * [taylor]: Taking taylor expansion of im in re
7.361 * [backup-simplify]: Simplify im into im
7.361 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.361 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.361 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.361 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.362 * [backup-simplify]: Simplify (+ 0 0) into 0
7.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.362 * [taylor]: Taking taylor expansion of re in re
7.362 * [backup-simplify]: Simplify 0 into 0
7.362 * [backup-simplify]: Simplify 1 into 1
7.362 * [backup-simplify]: Simplify (- 0) into 0
7.362 * [backup-simplify]: Simplify (+ im 0) into im
7.362 * [taylor]: Taking taylor expansion of im in im
7.362 * [backup-simplify]: Simplify 0 into 0
7.362 * [backup-simplify]: Simplify 1 into 1
7.362 * [backup-simplify]: Simplify 0 into 0
7.362 * [backup-simplify]: Simplify (- 1) into -1
7.363 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.363 * [taylor]: Taking taylor expansion of -1 in im
7.363 * [backup-simplify]: Simplify -1 into -1
7.363 * [backup-simplify]: Simplify -1 into -1
7.363 * [backup-simplify]: Simplify 1 into 1
7.363 * [backup-simplify]: Simplify (* 1 1) into 1
7.363 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.364 * [backup-simplify]: Simplify (+ 1 0) into 1
7.364 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.364 * [backup-simplify]: Simplify (- 0) into 0
7.364 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
7.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
7.364 * [taylor]: Taking taylor expansion of 1/2 in im
7.364 * [backup-simplify]: Simplify 1/2 into 1/2
7.364 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.364 * [taylor]: Taking taylor expansion of im in im
7.364 * [backup-simplify]: Simplify 0 into 0
7.364 * [backup-simplify]: Simplify 1 into 1
7.365 * [backup-simplify]: Simplify (/ 1 1) into 1
7.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.366 * [backup-simplify]: Simplify 0 into 0
7.366 * [backup-simplify]: Simplify 0 into 0
7.366 * [backup-simplify]: Simplify 0 into 0
7.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.367 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.367 * [backup-simplify]: Simplify (+ 0 0) into 0
7.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.367 * [backup-simplify]: Simplify (- 0) into 0
7.368 * [backup-simplify]: Simplify (+ 0 0) into 0
7.368 * [taylor]: Taking taylor expansion of 0 in im
7.368 * [backup-simplify]: Simplify 0 into 0
7.368 * [backup-simplify]: Simplify 0 into 0
7.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.369 * [backup-simplify]: Simplify 0 into 0
7.369 * [backup-simplify]: Simplify 0 into 0
7.369 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
7.369 * [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))
7.369 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
7.369 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.369 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.369 * [taylor]: Taking taylor expansion of im in im
7.370 * [backup-simplify]: Simplify 0 into 0
7.370 * [backup-simplify]: Simplify 1 into 1
7.370 * [backup-simplify]: Simplify (* 1 1) into 1
7.370 * [backup-simplify]: Simplify (/ 1 1) into 1
7.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.370 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.370 * [taylor]: Taking taylor expansion of re in im
7.370 * [backup-simplify]: Simplify re into re
7.370 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.370 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.371 * [backup-simplify]: Simplify (+ 1 0) into 1
7.371 * [backup-simplify]: Simplify (sqrt 1) into 1
7.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.372 * [backup-simplify]: Simplify (+ 0 0) into 0
7.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.373 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.373 * [taylor]: Taking taylor expansion of re in im
7.373 * [backup-simplify]: Simplify re into re
7.373 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.373 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
7.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.373 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.373 * [taylor]: Taking taylor expansion of im in re
7.373 * [backup-simplify]: Simplify im into im
7.373 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.373 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.373 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.373 * [taylor]: Taking taylor expansion of re in re
7.373 * [backup-simplify]: Simplify 0 into 0
7.373 * [backup-simplify]: Simplify 1 into 1
7.373 * [backup-simplify]: Simplify (* 1 1) into 1
7.374 * [backup-simplify]: Simplify (/ 1 1) into 1
7.374 * [backup-simplify]: Simplify (+ 0 1) into 1
7.374 * [backup-simplify]: Simplify (sqrt 1) into 1
7.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.375 * [backup-simplify]: Simplify (+ 0 0) into 0
7.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.376 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.376 * [taylor]: Taking taylor expansion of re in re
7.376 * [backup-simplify]: Simplify 0 into 0
7.376 * [backup-simplify]: Simplify 1 into 1
7.376 * [backup-simplify]: Simplify (/ 1 1) into 1
7.376 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
7.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.376 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.376 * [taylor]: Taking taylor expansion of im in re
7.376 * [backup-simplify]: Simplify im into im
7.376 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.376 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.376 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.376 * [taylor]: Taking taylor expansion of re in re
7.376 * [backup-simplify]: Simplify 0 into 0
7.376 * [backup-simplify]: Simplify 1 into 1
7.377 * [backup-simplify]: Simplify (* 1 1) into 1
7.377 * [backup-simplify]: Simplify (/ 1 1) into 1
7.377 * [backup-simplify]: Simplify (+ 0 1) into 1
7.377 * [backup-simplify]: Simplify (sqrt 1) into 1
7.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.378 * [backup-simplify]: Simplify (+ 0 0) into 0
7.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.379 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.379 * [taylor]: Taking taylor expansion of re in re
7.379 * [backup-simplify]: Simplify 0 into 0
7.379 * [backup-simplify]: Simplify 1 into 1
7.379 * [backup-simplify]: Simplify (/ 1 1) into 1
7.379 * [backup-simplify]: Simplify (- 1) into -1
7.380 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.380 * [taylor]: Taking taylor expansion of 0 in im
7.380 * [backup-simplify]: Simplify 0 into 0
7.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.380 * [backup-simplify]: Simplify (- 0) into 0
7.381 * [backup-simplify]: Simplify (+ 0 0) into 0
7.381 * [taylor]: Taking taylor expansion of 0 in im
7.381 * [backup-simplify]: Simplify 0 into 0
7.381 * [backup-simplify]: Simplify 0 into 0
7.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.382 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.383 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.384 * [backup-simplify]: Simplify (- 0) into 0
7.384 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.384 * [taylor]: Taking taylor expansion of 1/2 in im
7.384 * [backup-simplify]: Simplify 1/2 into 1/2
7.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.384 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.384 * [taylor]: Taking taylor expansion of im in im
7.384 * [backup-simplify]: Simplify 0 into 0
7.384 * [backup-simplify]: Simplify 1 into 1
7.384 * [backup-simplify]: Simplify (* 1 1) into 1
7.384 * [backup-simplify]: Simplify (/ 1 1) into 1
7.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.386 * [backup-simplify]: Simplify 0 into 0
7.386 * [backup-simplify]: Simplify 0 into 0
7.386 * [backup-simplify]: Simplify 0 into 0
7.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.387 * [backup-simplify]: Simplify (+ 0 0) into 0
7.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.389 * [backup-simplify]: Simplify (- 0) into 0
7.389 * [backup-simplify]: Simplify (+ 0 0) into 0
7.389 * [taylor]: Taking taylor expansion of 0 in im
7.389 * [backup-simplify]: Simplify 0 into 0
7.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.391 * [backup-simplify]: Simplify 0 into 0
7.391 * [backup-simplify]: Simplify 0 into 0
7.391 * [backup-simplify]: Simplify 0 into 0
7.391 * [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)))))
7.391 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
7.391 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.391 * [taylor]: Taking taylor expansion of re in im
7.391 * [backup-simplify]: Simplify re into re
7.391 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.391 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.391 * [taylor]: Taking taylor expansion of im in im
7.391 * [backup-simplify]: Simplify 0 into 0
7.391 * [backup-simplify]: Simplify 1 into 1
7.392 * [backup-simplify]: Simplify (* 1 1) into 1
7.392 * [backup-simplify]: Simplify (/ 1 1) into 1
7.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.392 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.392 * [taylor]: Taking taylor expansion of re in im
7.392 * [backup-simplify]: Simplify re into re
7.392 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.392 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.392 * [backup-simplify]: Simplify (+ 1 0) into 1
7.393 * [backup-simplify]: Simplify (sqrt 1) into 1
7.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.394 * [backup-simplify]: Simplify (+ 0 0) into 0
7.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.394 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.394 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.394 * [taylor]: Taking taylor expansion of re in re
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [backup-simplify]: Simplify 1 into 1
7.399 * [backup-simplify]: Simplify (/ 1 1) into 1
7.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.399 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.399 * [taylor]: Taking taylor expansion of im in re
7.399 * [backup-simplify]: Simplify im into im
7.399 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.399 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.399 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.399 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.399 * [taylor]: Taking taylor expansion of re in re
7.399 * [backup-simplify]: Simplify 0 into 0
7.399 * [backup-simplify]: Simplify 1 into 1
7.400 * [backup-simplify]: Simplify (* 1 1) into 1
7.400 * [backup-simplify]: Simplify (/ 1 1) into 1
7.400 * [backup-simplify]: Simplify (+ 0 1) into 1
7.401 * [backup-simplify]: Simplify (sqrt 1) into 1
7.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.402 * [backup-simplify]: Simplify (+ 0 0) into 0
7.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.402 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.402 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.402 * [taylor]: Taking taylor expansion of re in re
7.402 * [backup-simplify]: Simplify 0 into 0
7.402 * [backup-simplify]: Simplify 1 into 1
7.402 * [backup-simplify]: Simplify (/ 1 1) into 1
7.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.403 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.403 * [taylor]: Taking taylor expansion of im in re
7.403 * [backup-simplify]: Simplify im into im
7.403 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.403 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.403 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.403 * [taylor]: Taking taylor expansion of re in re
7.403 * [backup-simplify]: Simplify 0 into 0
7.403 * [backup-simplify]: Simplify 1 into 1
7.403 * [backup-simplify]: Simplify (* 1 1) into 1
7.403 * [backup-simplify]: Simplify (/ 1 1) into 1
7.404 * [backup-simplify]: Simplify (+ 0 1) into 1
7.404 * [backup-simplify]: Simplify (sqrt 1) into 1
7.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.405 * [backup-simplify]: Simplify (+ 0 0) into 0
7.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.406 * [backup-simplify]: Simplify (+ 1 1) into 2
7.406 * [taylor]: Taking taylor expansion of 2 in im
7.406 * [backup-simplify]: Simplify 2 into 2
7.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.407 * [backup-simplify]: Simplify (+ 0 0) into 0
7.408 * [taylor]: Taking taylor expansion of 0 in im
7.408 * [backup-simplify]: Simplify 0 into 0
7.408 * [backup-simplify]: Simplify 2 into 2
7.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.411 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.412 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.412 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
7.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.412 * [taylor]: Taking taylor expansion of 1/2 in im
7.412 * [backup-simplify]: Simplify 1/2 into 1/2
7.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.412 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.412 * [taylor]: Taking taylor expansion of im in im
7.412 * [backup-simplify]: Simplify 0 into 0
7.413 * [backup-simplify]: Simplify 1 into 1
7.413 * [backup-simplify]: Simplify (* 1 1) into 1
7.413 * [backup-simplify]: Simplify (/ 1 1) into 1
7.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.416 * [backup-simplify]: Simplify 0 into 0
7.416 * [backup-simplify]: Simplify 0 into 0
7.416 * [backup-simplify]: Simplify 0 into 0
7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.417 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.420 * [backup-simplify]: Simplify (+ 0 0) into 0
7.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.421 * [backup-simplify]: Simplify (+ 0 0) into 0
7.421 * [taylor]: Taking taylor expansion of 0 in im
7.421 * [backup-simplify]: Simplify 0 into 0
7.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.424 * [backup-simplify]: Simplify 0 into 0
7.424 * [backup-simplify]: Simplify 0 into 0
7.424 * [backup-simplify]: Simplify 0 into 0
7.424 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
7.425 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
7.425 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
7.425 * [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
7.426 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
7.426 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re
7.426 * [taylor]: Taking taylor expansion of (fabs im) in re
7.426 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.426 * [taylor]: Taking taylor expansion of 2.0 in re
7.426 * [backup-simplify]: Simplify 2.0 into 2.0
7.426 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.427 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
7.427 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
7.427 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
7.427 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.427 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.427 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.427 * [taylor]: Taking taylor expansion of re in re
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [backup-simplify]: Simplify 1 into 1
7.427 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.427 * [taylor]: Taking taylor expansion of im in re
7.427 * [backup-simplify]: Simplify im into im
7.428 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.428 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.428 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.428 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.428 * [backup-simplify]: Simplify (+ 0 0) into 0
7.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.429 * [taylor]: Taking taylor expansion of re in re
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify 1 into 1
7.429 * [backup-simplify]: Simplify (- 0) into 0
7.429 * [backup-simplify]: Simplify (+ im 0) into im
7.429 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.429 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
7.430 * [backup-simplify]: Simplify (- 1) into -1
7.430 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
7.431 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
7.431 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
7.431 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
7.431 * [taylor]: Taking taylor expansion of (fabs im) in im
7.431 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.431 * [taylor]: Taking taylor expansion of 2.0 in im
7.431 * [backup-simplify]: Simplify 2.0 into 2.0
7.431 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
7.432 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
7.432 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
7.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.432 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.432 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.432 * [taylor]: Taking taylor expansion of re in im
7.432 * [backup-simplify]: Simplify re into re
7.432 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.433 * [taylor]: Taking taylor expansion of im in im
7.433 * [backup-simplify]: Simplify 0 into 0
7.433 * [backup-simplify]: Simplify 1 into 1
7.433 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.433 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.433 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.433 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.434 * [backup-simplify]: Simplify (+ 0 0) into 0
7.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.434 * [taylor]: Taking taylor expansion of re in im
7.434 * [backup-simplify]: Simplify re into re
7.434 * [backup-simplify]: Simplify (- re) into (- re)
7.434 * [backup-simplify]: Simplify (+ re (- re)) into 0
7.434 * [backup-simplify]: Simplify (- 0) into 0
7.435 * [backup-simplify]: Simplify (+ 0 0) into 0
7.435 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.436 * [backup-simplify]: Simplify (* 1 1) into 1
7.436 * [backup-simplify]: Simplify (+ 0 1) into 1
7.437 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.437 * [backup-simplify]: Simplify (- 0) into 0
7.437 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
7.437 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
7.437 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
7.438 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.439 * [backup-simplify]: Simplify (+ 0 0) into 0
7.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.440 * [backup-simplify]: Simplify (- 0) into 0
7.440 * [backup-simplify]: Simplify (+ 0 0) into 0
7.441 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
7.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.441 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
7.441 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
7.441 * [taylor]: Taking taylor expansion of (fabs im) in im
7.441 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.441 * [taylor]: Taking taylor expansion of 2.0 in im
7.441 * [backup-simplify]: Simplify 2.0 into 2.0
7.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.442 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
7.442 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
7.442 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
7.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.442 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.443 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.443 * [taylor]: Taking taylor expansion of re in im
7.443 * [backup-simplify]: Simplify re into re
7.443 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.443 * [taylor]: Taking taylor expansion of im in im
7.443 * [backup-simplify]: Simplify 0 into 0
7.443 * [backup-simplify]: Simplify 1 into 1
7.443 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.443 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.443 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.443 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.444 * [backup-simplify]: Simplify (+ 0 0) into 0
7.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.444 * [taylor]: Taking taylor expansion of re in im
7.444 * [backup-simplify]: Simplify re into re
7.444 * [backup-simplify]: Simplify (- re) into (- re)
7.444 * [backup-simplify]: Simplify (+ re (- re)) into 0
7.444 * [backup-simplify]: Simplify (- 0) into 0
7.445 * [backup-simplify]: Simplify (+ 0 0) into 0
7.445 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.446 * [backup-simplify]: Simplify (* 1 1) into 1
7.446 * [backup-simplify]: Simplify (+ 0 1) into 1
7.447 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.447 * [backup-simplify]: Simplify (- 0) into 0
7.447 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
7.448 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
7.448 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
7.448 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.450 * [backup-simplify]: Simplify (+ 0 0) into 0
7.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.450 * [backup-simplify]: Simplify (- 0) into 0
7.450 * [backup-simplify]: Simplify (+ 0 0) into 0
7.451 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
7.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.451 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
7.452 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) (* (sqrt re) (sqrt 2))) into (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re))
7.452 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re)) in re
7.452 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 2))) in re
7.452 * [taylor]: Taking taylor expansion of (fabs im) in re
7.452 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.452 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
7.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.453 * [taylor]: Taking taylor expansion of 2.0 in re
7.453 * [backup-simplify]: Simplify 2.0 into 2.0
7.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.454 * [taylor]: Taking taylor expansion of (sqrt 2) in re
7.454 * [taylor]: Taking taylor expansion of 2 in re
7.454 * [backup-simplify]: Simplify 2 into 2
7.454 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.455 * [taylor]: Taking taylor expansion of (sqrt re) in re
7.455 * [taylor]: Taking taylor expansion of re in re
7.455 * [backup-simplify]: Simplify 0 into 0
7.455 * [backup-simplify]: Simplify 1 into 1
7.455 * [backup-simplify]: Simplify (sqrt 0) into 0
7.457 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.458 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
7.460 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt 2.0) (sqrt 2))) into (* (fabs im) (* (sqrt 2.0) (sqrt 2)))
7.461 * [backup-simplify]: Simplify (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) 0) into 0
7.461 * [backup-simplify]: Simplify 0 into 0
7.462 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0
7.463 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) 0) (* 0 (* (sqrt re) (sqrt 2)))) into 0
7.463 * [taylor]: Taking taylor expansion of 0 in re
7.463 * [backup-simplify]: Simplify 0 into 0
7.463 * [backup-simplify]: Simplify 0 into 0
7.464 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
7.465 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt 2.0) (sqrt 2)))) into 0
7.466 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
7.467 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
7.468 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
7.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.468 * [backup-simplify]: Simplify (+ 0 0) into 0
7.469 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
7.469 * [backup-simplify]: Simplify (- 0) into 0
7.469 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
7.470 * [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))
7.471 * [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))))
7.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.472 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.474 * [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)))))
7.474 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
7.474 * [taylor]: Taking taylor expansion of 1/4 in re
7.474 * [backup-simplify]: Simplify 1/4 into 1/4
7.474 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
7.474 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) in re
7.474 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re
7.474 * [taylor]: Taking taylor expansion of (fabs im) in re
7.474 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.474 * [taylor]: Taking taylor expansion of 2.0 in re
7.474 * [backup-simplify]: Simplify 2.0 into 2.0
7.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.475 * [taylor]: Taking taylor expansion of (sqrt 2) in re
7.475 * [taylor]: Taking taylor expansion of 2 in re
7.475 * [backup-simplify]: Simplify 2 into 2
7.475 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.476 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
7.476 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))
7.476 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
7.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
7.476 * [taylor]: Taking taylor expansion of (pow re 3) in re
7.476 * [taylor]: Taking taylor expansion of re in re
7.476 * [backup-simplify]: Simplify 0 into 0
7.476 * [backup-simplify]: Simplify 1 into 1
7.476 * [backup-simplify]: Simplify (* 1 1) into 1
7.477 * [backup-simplify]: Simplify (* 1 1) into 1
7.477 * [backup-simplify]: Simplify (/ 1 1) into 1
7.477 * [backup-simplify]: Simplify (sqrt 0) into 0
7.478 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.481 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.482 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0
7.483 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
7.484 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.484 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.485 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
7.486 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
7.487 * [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))))
7.488 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
7.488 * [backup-simplify]: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) 0) into 0
7.490 * [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))))
7.491 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
7.491 * [backup-simplify]: Simplify 0 into 0
7.492 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
7.494 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.495 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
7.496 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (sqrt 2))))) into 0
7.498 * [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)))))
7.500 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
7.504 * [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)))))))
7.505 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs (/ 1 im)) (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)))))
7.505 * [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
7.505 * [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
7.505 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
7.505 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.505 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.505 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.505 * [taylor]: Taking taylor expansion of 2.0 in re
7.505 * [backup-simplify]: Simplify 2.0 into 2.0
7.505 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.506 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
7.506 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
7.506 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
7.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.506 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.506 * [taylor]: Taking taylor expansion of im in re
7.506 * [backup-simplify]: Simplify im into im
7.507 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.507 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.507 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.507 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.507 * [taylor]: Taking taylor expansion of re in re
7.507 * [backup-simplify]: Simplify 0 into 0
7.507 * [backup-simplify]: Simplify 1 into 1
7.507 * [backup-simplify]: Simplify (* 1 1) into 1
7.508 * [backup-simplify]: Simplify (/ 1 1) into 1
7.508 * [backup-simplify]: Simplify (+ 0 1) into 1
7.508 * [backup-simplify]: Simplify (sqrt 1) into 1
7.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.510 * [backup-simplify]: Simplify (+ 0 0) into 0
7.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.511 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.511 * [taylor]: Taking taylor expansion of re in re
7.511 * [backup-simplify]: Simplify 0 into 0
7.511 * [backup-simplify]: Simplify 1 into 1
7.511 * [backup-simplify]: Simplify (/ 1 1) into 1
7.511 * [backup-simplify]: Simplify (- 1) into -1
7.512 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.513 * [backup-simplify]: Simplify (- 0) into 0
7.513 * [backup-simplify]: Simplify (+ 0 0) into 0
7.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.515 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.516 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.517 * [backup-simplify]: Simplify (- 0) into 0
7.517 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.518 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
7.518 * [backup-simplify]: Simplify (sqrt 0) into 0
7.519 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
7.519 * [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
7.519 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
7.519 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
7.519 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.519 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.519 * [taylor]: Taking taylor expansion of 2.0 in im
7.519 * [backup-simplify]: Simplify 2.0 into 2.0
7.519 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
7.520 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
7.520 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.520 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.520 * [taylor]: Taking taylor expansion of im in im
7.520 * [backup-simplify]: Simplify 0 into 0
7.520 * [backup-simplify]: Simplify 1 into 1
7.520 * [backup-simplify]: Simplify (* 1 1) into 1
7.521 * [backup-simplify]: Simplify (/ 1 1) into 1
7.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.521 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.521 * [taylor]: Taking taylor expansion of re in im
7.521 * [backup-simplify]: Simplify re into re
7.521 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.521 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.522 * [backup-simplify]: Simplify (+ 1 0) into 1
7.522 * [backup-simplify]: Simplify (sqrt 1) into 1
7.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.524 * [backup-simplify]: Simplify (+ 0 0) into 0
7.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.524 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.524 * [taylor]: Taking taylor expansion of re in im
7.524 * [backup-simplify]: Simplify re into re
7.525 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.525 * [backup-simplify]: Simplify (+ 1 0) into 1
7.525 * [backup-simplify]: Simplify (/ 1 1) into 1
7.526 * [backup-simplify]: Simplify (sqrt 0) into 0
7.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.533 * [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
7.533 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
7.533 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
7.533 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.533 * [taylor]: Taking taylor expansion of 2.0 in im
7.533 * [backup-simplify]: Simplify 2.0 into 2.0
7.534 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.534 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
7.534 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
7.534 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.534 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.534 * [taylor]: Taking taylor expansion of im in im
7.534 * [backup-simplify]: Simplify 0 into 0
7.534 * [backup-simplify]: Simplify 1 into 1
7.535 * [backup-simplify]: Simplify (* 1 1) into 1
7.535 * [backup-simplify]: Simplify (/ 1 1) into 1
7.535 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.535 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.535 * [taylor]: Taking taylor expansion of re in im
7.535 * [backup-simplify]: Simplify re into re
7.535 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.536 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.536 * [backup-simplify]: Simplify (+ 1 0) into 1
7.536 * [backup-simplify]: Simplify (sqrt 1) into 1
7.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.538 * [backup-simplify]: Simplify (+ 0 0) into 0
7.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.539 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.539 * [taylor]: Taking taylor expansion of re in im
7.539 * [backup-simplify]: Simplify re into re
7.539 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.539 * [backup-simplify]: Simplify (+ 1 0) into 1
7.539 * [backup-simplify]: Simplify (/ 1 1) into 1
7.540 * [backup-simplify]: Simplify (sqrt 0) into 0
7.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.541 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
7.542 * [backup-simplify]: Simplify (* (* (fabs (/ 1 im)) (sqrt 2.0)) 0) into 0
7.542 * [taylor]: Taking taylor expansion of 0 in re
7.542 * [backup-simplify]: Simplify 0 into 0
7.543 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0
7.543 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.543 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re
7.543 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
7.543 * [taylor]: Taking taylor expansion of +nan.0 in re
7.544 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.544 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
7.544 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.544 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.544 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.544 * [taylor]: Taking taylor expansion of 2.0 in re
7.544 * [backup-simplify]: Simplify 2.0 into 2.0
7.544 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.545 * [backup-simplify]: Simplify 0 into 0
7.545 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
7.545 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
7.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
7.546 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
7.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.548 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.549 * [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)))))
7.549 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re
7.549 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re
7.549 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
7.549 * [taylor]: Taking taylor expansion of +nan.0 in re
7.549 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.550 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
7.550 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.550 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.550 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.550 * [taylor]: Taking taylor expansion of 2.0 in re
7.550 * [backup-simplify]: Simplify 2.0 into 2.0
7.550 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.551 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re
7.551 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re
7.551 * [taylor]: Taking taylor expansion of +nan.0 in re
7.551 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.551 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re
7.551 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
7.551 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.551 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.551 * [taylor]: Taking taylor expansion of 2.0 in re
7.551 * [backup-simplify]: Simplify 2.0 into 2.0
7.551 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.552 * [taylor]: Taking taylor expansion of re in re
7.552 * [backup-simplify]: Simplify 0 into 0
7.552 * [backup-simplify]: Simplify 1 into 1
7.553 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
7.553 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
7.554 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
7.554 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.555 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.555 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.555 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.556 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
7.556 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
7.557 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.557 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.558 * [backup-simplify]: Simplify 0 into 0
7.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.559 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
7.560 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.561 * [backup-simplify]: Simplify (- 0) into 0
7.561 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
7.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.562 * [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))))
7.563 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.564 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
7.566 * [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)))))))
7.566 * [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
7.567 * [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
7.567 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
7.567 * [taylor]: Taking taylor expansion of +nan.0 in re
7.567 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.567 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
7.567 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.567 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.567 * [taylor]: Taking taylor expansion of 2.0 in re
7.567 * [backup-simplify]: Simplify 2.0 into 2.0
7.567 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.568 * [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
7.568 * [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
7.568 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re
7.568 * [taylor]: Taking taylor expansion of +nan.0 in re
7.568 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.568 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re
7.568 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
7.568 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.568 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.568 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.568 * [taylor]: Taking taylor expansion of 2.0 in re
7.568 * [backup-simplify]: Simplify 2.0 into 2.0
7.569 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.569 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.569 * [taylor]: Taking taylor expansion of re in re
7.569 * [backup-simplify]: Simplify 0 into 0
7.569 * [backup-simplify]: Simplify 1 into 1
7.570 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
7.570 * [backup-simplify]: Simplify (* 1 1) into 1
7.571 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
7.571 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re
7.571 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re
7.571 * [taylor]: Taking taylor expansion of +nan.0 in re
7.571 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.571 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re
7.571 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
7.571 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.571 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.571 * [taylor]: Taking taylor expansion of 2.0 in re
7.571 * [backup-simplify]: Simplify 2.0 into 2.0
7.571 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.572 * [taylor]: Taking taylor expansion of re in re
7.572 * [backup-simplify]: Simplify 0 into 0
7.572 * [backup-simplify]: Simplify 1 into 1
7.573 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
7.573 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
7.574 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0
7.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0
7.577 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0
7.577 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
7.577 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.578 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.578 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.579 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.579 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.580 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
7.582 * [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))))))))
7.583 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs (/ 1 (- im))) (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))))))))
7.583 * [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
7.584 * [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
7.584 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
7.584 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.584 * [taylor]: Taking taylor expansion of 2.0 in re
7.584 * [backup-simplify]: Simplify 2.0 into 2.0
7.584 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.585 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.585 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
7.585 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
7.585 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.585 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.585 * [taylor]: Taking taylor expansion of re in re
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify 1 into 1
7.585 * [backup-simplify]: Simplify (/ 1 1) into 1
7.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.585 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.585 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.585 * [taylor]: Taking taylor expansion of im in re
7.586 * [backup-simplify]: Simplify im into im
7.586 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.586 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.586 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.586 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.586 * [taylor]: Taking taylor expansion of re in re
7.586 * [backup-simplify]: Simplify 0 into 0
7.586 * [backup-simplify]: Simplify 1 into 1
7.586 * [backup-simplify]: Simplify (* 1 1) into 1
7.587 * [backup-simplify]: Simplify (/ 1 1) into 1
7.587 * [backup-simplify]: Simplify (+ 0 1) into 1
7.587 * [backup-simplify]: Simplify (sqrt 1) into 1
7.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.589 * [backup-simplify]: Simplify (+ 0 0) into 0
7.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.590 * [backup-simplify]: Simplify (+ 1 1) into 2
7.590 * [backup-simplify]: Simplify (/ 1 2) into 1/2
7.590 * [backup-simplify]: Simplify (sqrt 0) into 0
7.592 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
7.592 * [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
7.592 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
7.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.592 * [taylor]: Taking taylor expansion of 2.0 in im
7.592 * [backup-simplify]: Simplify 2.0 into 2.0
7.592 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.593 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
7.593 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.593 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
7.593 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
7.593 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.593 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.593 * [taylor]: Taking taylor expansion of re in im
7.593 * [backup-simplify]: Simplify re into re
7.593 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.594 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.594 * [taylor]: Taking taylor expansion of im in im
7.594 * [backup-simplify]: Simplify 0 into 0
7.594 * [backup-simplify]: Simplify 1 into 1
7.594 * [backup-simplify]: Simplify (* 1 1) into 1
7.594 * [backup-simplify]: Simplify (/ 1 1) into 1
7.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.594 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.594 * [taylor]: Taking taylor expansion of re in im
7.594 * [backup-simplify]: Simplify re into re
7.594 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.595 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.595 * [backup-simplify]: Simplify (+ 1 0) into 1
7.595 * [backup-simplify]: Simplify (sqrt 1) into 1
7.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.597 * [backup-simplify]: Simplify (+ 0 0) into 0
7.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.598 * [backup-simplify]: Simplify (+ 0 1) into 1
7.599 * [backup-simplify]: Simplify (/ 1 1) into 1
7.599 * [backup-simplify]: Simplify (sqrt 0) into 0
7.600 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.601 * [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
7.601 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
7.601 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.601 * [taylor]: Taking taylor expansion of 2.0 in im
7.601 * [backup-simplify]: Simplify 2.0 into 2.0
7.601 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.602 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
7.602 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.602 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
7.602 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
7.602 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.602 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.602 * [taylor]: Taking taylor expansion of re in im
7.602 * [backup-simplify]: Simplify re into re
7.602 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.602 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.603 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.603 * [taylor]: Taking taylor expansion of im in im
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify 1 into 1
7.603 * [backup-simplify]: Simplify (* 1 1) into 1
7.603 * [backup-simplify]: Simplify (/ 1 1) into 1
7.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.604 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.604 * [taylor]: Taking taylor expansion of re in im
7.604 * [backup-simplify]: Simplify re into re
7.604 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.604 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.604 * [backup-simplify]: Simplify (+ 1 0) into 1
7.605 * [backup-simplify]: Simplify (sqrt 1) into 1
7.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.607 * [backup-simplify]: Simplify (+ 0 0) into 0
7.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.608 * [backup-simplify]: Simplify (+ 0 1) into 1
7.609 * [backup-simplify]: Simplify (/ 1 1) into 1
7.609 * [backup-simplify]: Simplify (sqrt 0) into 0
7.611 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.612 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
7.612 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0
7.612 * [taylor]: Taking taylor expansion of 0 in re
7.612 * [backup-simplify]: Simplify 0 into 0
7.612 * [backup-simplify]: Simplify 0 into 0
7.613 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
7.614 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.614 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
7.614 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
7.614 * [taylor]: Taking taylor expansion of +nan.0 in re
7.614 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.614 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
7.614 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.614 * [taylor]: Taking taylor expansion of 2.0 in re
7.614 * [backup-simplify]: Simplify 2.0 into 2.0
7.615 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.616 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.616 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.616 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
7.617 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
7.617 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.618 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.618 * [backup-simplify]: Simplify 0 into 0
7.618 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
7.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
7.620 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
7.621 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.622 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
7.624 * [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)))))))
7.624 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re
7.624 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re
7.624 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
7.624 * [taylor]: Taking taylor expansion of +nan.0 in re
7.624 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.624 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
7.624 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
7.624 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.624 * [taylor]: Taking taylor expansion of 2.0 in re
7.624 * [backup-simplify]: Simplify 2.0 into 2.0
7.625 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.626 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.626 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.626 * [taylor]: Taking taylor expansion of re in re
7.626 * [backup-simplify]: Simplify 0 into 0
7.626 * [backup-simplify]: Simplify 1 into 1
7.626 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
7.627 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
7.627 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
7.627 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
7.627 * [taylor]: Taking taylor expansion of +nan.0 in re
7.627 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.627 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
7.627 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.627 * [taylor]: Taking taylor expansion of 2.0 in re
7.627 * [backup-simplify]: Simplify 2.0 into 2.0
7.628 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.628 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.629 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.629 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
7.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
7.632 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
7.632 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
7.633 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
7.633 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.634 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.634 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.634 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.635 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
7.635 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
7.636 * [backup-simplify]: Simplify (- 0) into 0
7.636 * [backup-simplify]: Simplify 0 into 0
7.636 * [backup-simplify]: Simplify 0 into 0
7.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.637 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
7.638 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.638 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
7.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.639 * [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))))
7.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.641 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0
7.642 * [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)))))))))
7.642 * [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
7.642 * [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
7.642 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
7.642 * [taylor]: Taking taylor expansion of +nan.0 in re
7.642 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.642 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
7.642 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
7.642 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.642 * [taylor]: Taking taylor expansion of 2.0 in re
7.642 * [backup-simplify]: Simplify 2.0 into 2.0
7.643 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.643 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.643 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.643 * [taylor]: Taking taylor expansion of re in re
7.643 * [backup-simplify]: Simplify 0 into 0
7.643 * [backup-simplify]: Simplify 1 into 1
7.644 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
7.644 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
7.644 * [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
7.644 * [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
7.644 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re
7.644 * [taylor]: Taking taylor expansion of +nan.0 in re
7.644 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.644 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re
7.644 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
7.644 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.644 * [taylor]: Taking taylor expansion of 2.0 in re
7.644 * [backup-simplify]: Simplify 2.0 into 2.0
7.644 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.645 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.645 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.645 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.645 * [taylor]: Taking taylor expansion of re in re
7.645 * [backup-simplify]: Simplify 0 into 0
7.645 * [backup-simplify]: Simplify 1 into 1
7.645 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
7.646 * [backup-simplify]: Simplify (* 1 1) into 1
7.646 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
7.646 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
7.646 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
7.646 * [taylor]: Taking taylor expansion of +nan.0 in re
7.646 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.646 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
7.646 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.646 * [taylor]: Taking taylor expansion of 2.0 in re
7.646 * [backup-simplify]: Simplify 2.0 into 2.0
7.646 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.647 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.647 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.647 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
7.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
7.649 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
7.649 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.650 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
7.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.651 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
7.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
7.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.655 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into 0
7.655 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
7.656 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
7.657 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.657 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.658 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.658 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.659 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.660 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
7.662 * [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))))))))
7.663 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
7.663 * [backup-simplify]: Simplify (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (fabs im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
7.663 * [approximate]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0
7.663 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
7.663 * [taylor]: Taking taylor expansion of (fabs im) in re
7.663 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.663 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
7.663 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
7.663 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
7.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.663 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.663 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.663 * [taylor]: Taking taylor expansion of re in re
7.663 * [backup-simplify]: Simplify 0 into 0
7.663 * [backup-simplify]: Simplify 1 into 1
7.663 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.664 * [taylor]: Taking taylor expansion of im in re
7.664 * [backup-simplify]: Simplify im into im
7.664 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.664 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.664 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.664 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.665 * [backup-simplify]: Simplify (+ 0 0) into 0
7.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.665 * [taylor]: Taking taylor expansion of re in re
7.665 * [backup-simplify]: Simplify 0 into 0
7.665 * [backup-simplify]: Simplify 1 into 1
7.665 * [backup-simplify]: Simplify (- 0) into 0
7.665 * [backup-simplify]: Simplify (+ im 0) into im
7.665 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.666 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
7.666 * [backup-simplify]: Simplify (- 1) into -1
7.666 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
7.667 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
7.667 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
7.667 * [taylor]: Taking taylor expansion of (fabs im) in im
7.667 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.667 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
7.667 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
7.667 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
7.667 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.667 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.667 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.667 * [taylor]: Taking taylor expansion of re in im
7.667 * [backup-simplify]: Simplify re into re
7.667 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.667 * [taylor]: Taking taylor expansion of im in im
7.667 * [backup-simplify]: Simplify 0 into 0
7.667 * [backup-simplify]: Simplify 1 into 1
7.668 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.668 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.668 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.668 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.668 * [backup-simplify]: Simplify (+ 0 0) into 0
7.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.669 * [taylor]: Taking taylor expansion of re in im
7.669 * [backup-simplify]: Simplify re into re
7.669 * [backup-simplify]: Simplify (- re) into (- re)
7.669 * [backup-simplify]: Simplify (+ re (- re)) into 0
7.674 * [backup-simplify]: Simplify (- 0) into 0
7.674 * [backup-simplify]: Simplify (+ 0 0) into 0
7.675 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.675 * [backup-simplify]: Simplify (* 1 1) into 1
7.675 * [backup-simplify]: Simplify (+ 0 1) into 1
7.676 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.676 * [backup-simplify]: Simplify (- 0) into 0
7.676 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
7.676 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
7.676 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
7.677 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.677 * [backup-simplify]: Simplify (+ 0 0) into 0
7.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.678 * [backup-simplify]: Simplify (- 0) into 0
7.678 * [backup-simplify]: Simplify (+ 0 0) into 0
7.678 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
7.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.678 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
7.678 * [taylor]: Taking taylor expansion of (fabs im) in im
7.678 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
7.678 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
7.678 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
7.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.678 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.678 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.678 * [taylor]: Taking taylor expansion of re in im
7.678 * [backup-simplify]: Simplify re into re
7.678 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.678 * [taylor]: Taking taylor expansion of im in im
7.678 * [backup-simplify]: Simplify 0 into 0
7.678 * [backup-simplify]: Simplify 1 into 1
7.678 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.679 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.679 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.679 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.679 * [backup-simplify]: Simplify (+ 0 0) into 0
7.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.679 * [taylor]: Taking taylor expansion of re in im
7.679 * [backup-simplify]: Simplify re into re
7.679 * [backup-simplify]: Simplify (- re) into (- re)
7.679 * [backup-simplify]: Simplify (+ re (- re)) into 0
7.680 * [backup-simplify]: Simplify (- 0) into 0
7.680 * [backup-simplify]: Simplify (+ 0 0) into 0
7.680 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.681 * [backup-simplify]: Simplify (* 1 1) into 1
7.681 * [backup-simplify]: Simplify (+ 0 1) into 1
7.681 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.682 * [backup-simplify]: Simplify (- 0) into 0
7.682 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
7.682 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
7.682 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
7.682 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.683 * [backup-simplify]: Simplify (+ 0 0) into 0
7.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.683 * [backup-simplify]: Simplify (- 0) into 0
7.684 * [backup-simplify]: Simplify (+ 0 0) into 0
7.684 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
7.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.684 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt re) (sqrt 2))) into (* (* (fabs im) (sqrt 2)) (sqrt re))
7.684 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2)) (sqrt re)) in re
7.684 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2)) in re
7.684 * [taylor]: Taking taylor expansion of (fabs im) in re
7.684 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.684 * [taylor]: Taking taylor expansion of (sqrt 2) in re
7.684 * [taylor]: Taking taylor expansion of 2 in re
7.684 * [backup-simplify]: Simplify 2 into 2
7.685 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.685 * [taylor]: Taking taylor expansion of (sqrt re) in re
7.685 * [taylor]: Taking taylor expansion of re in re
7.685 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify 1 into 1
7.685 * [backup-simplify]: Simplify (sqrt 0) into 0
7.686 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.687 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2)) into (* (fabs im) (sqrt 2))
7.687 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2)) 0) into 0
7.687 * [backup-simplify]: Simplify 0 into 0
7.687 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt re) (sqrt 2)))) into 0
7.687 * [taylor]: Taking taylor expansion of 0 in re
7.687 * [backup-simplify]: Simplify 0 into 0
7.687 * [backup-simplify]: Simplify 0 into 0
7.688 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2))) into 0
7.688 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (sqrt 2))))
7.688 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (sqrt 2)))) into (- (* +nan.0 (* (fabs im) (sqrt 2))))
7.689 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
7.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.690 * [backup-simplify]: Simplify (+ 0 0) into 0
7.691 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
7.691 * [backup-simplify]: Simplify (- 0) into 0
7.691 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
7.691 * [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))
7.692 * [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))))
7.693 * [backup-simplify]: Simplify (+ (* (fabs im) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2))))) into (* 1/4 (* (/ (fabs im) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
7.693 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (fabs im) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
7.693 * [taylor]: Taking taylor expansion of 1/4 in re
7.693 * [backup-simplify]: Simplify 1/4 into 1/4
7.693 * [taylor]: Taking taylor expansion of (* (/ (fabs im) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
7.693 * [taylor]: Taking taylor expansion of (/ (fabs im) (sqrt 2)) in re
7.694 * [taylor]: Taking taylor expansion of (fabs im) in re
7.694 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.694 * [taylor]: Taking taylor expansion of (sqrt 2) in re
7.694 * [taylor]: Taking taylor expansion of 2 in re
7.694 * [backup-simplify]: Simplify 2 into 2
7.694 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.695 * [backup-simplify]: Simplify (/ (fabs im) (sqrt 2)) into (/ (fabs im) (sqrt 2))
7.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
7.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
7.695 * [taylor]: Taking taylor expansion of (pow re 3) in re
7.695 * [taylor]: Taking taylor expansion of re in re
7.695 * [backup-simplify]: Simplify 0 into 0
7.695 * [backup-simplify]: Simplify 1 into 1
7.695 * [backup-simplify]: Simplify (* 1 1) into 1
7.695 * [backup-simplify]: Simplify (* 1 1) into 1
7.695 * [backup-simplify]: Simplify (/ 1 1) into 1
7.696 * [backup-simplify]: Simplify (sqrt 0) into 0
7.696 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.699 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.700 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (fabs im) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
7.701 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
7.702 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (fabs im) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
7.703 * [backup-simplify]: Simplify (+ (* (/ (fabs im) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (fabs im) (sqrt 2))))
7.704 * [backup-simplify]: Simplify (+ (* (/ (fabs im) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (fabs im) (sqrt 2))))
7.704 * [backup-simplify]: Simplify (* (/ (fabs im) (sqrt 2)) 0) into 0
7.705 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (fabs im) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (fabs im) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (fabs im) (sqrt 2))))
7.705 * [backup-simplify]: Simplify (- (* +nan.0 (/ (fabs im) (sqrt 2)))) into (- (* +nan.0 (/ (fabs im) (sqrt 2))))
7.705 * [backup-simplify]: Simplify 0 into 0
7.709 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.710 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
7.711 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
7.712 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (sqrt 2))))
7.712 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (sqrt 2)))) into (- (* +nan.0 (* (fabs im) (sqrt 2))))
7.715 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs im) (sqrt 2)))) (* (pow re 2) (/ 1 im))) (+ (* (- (* +nan.0 (/ (fabs im) (sqrt 2)))) (* 1 im)) (* (- (* +nan.0 (* (fabs im) (sqrt 2)))) (* re (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) im) (sqrt 2))) (- (+ (* +nan.0 (/ (* (fabs im) (* (pow re 2) (sqrt 2))) im)) (- (* +nan.0 (/ (* (fabs im) (* re (sqrt 2))) im)))))))
7.715 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (fabs (/ 1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))
7.715 * [approximate]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0
7.715 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
7.715 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.716 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
7.716 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
7.716 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
7.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.716 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.716 * [taylor]: Taking taylor expansion of im in re
7.716 * [backup-simplify]: Simplify im into im
7.716 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.716 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.716 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.716 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.716 * [taylor]: Taking taylor expansion of re in re
7.716 * [backup-simplify]: Simplify 0 into 0
7.716 * [backup-simplify]: Simplify 1 into 1
7.717 * [backup-simplify]: Simplify (* 1 1) into 1
7.717 * [backup-simplify]: Simplify (/ 1 1) into 1
7.718 * [backup-simplify]: Simplify (+ 0 1) into 1
7.718 * [backup-simplify]: Simplify (sqrt 1) into 1
7.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.720 * [backup-simplify]: Simplify (+ 0 0) into 0
7.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.721 * [taylor]: Taking taylor expansion of re in re
7.721 * [backup-simplify]: Simplify 0 into 0
7.721 * [backup-simplify]: Simplify 1 into 1
7.721 * [backup-simplify]: Simplify (/ 1 1) into 1
7.722 * [backup-simplify]: Simplify (- 1) into -1
7.722 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.723 * [backup-simplify]: Simplify (- 0) into 0
7.724 * [backup-simplify]: Simplify (+ 0 0) into 0
7.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.726 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.727 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.729 * [backup-simplify]: Simplify (- 0) into 0
7.729 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.729 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
7.729 * [backup-simplify]: Simplify (sqrt 0) into 0
7.730 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
7.730 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
7.730 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
7.730 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
7.730 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
7.730 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.730 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.730 * [taylor]: Taking taylor expansion of im in im
7.730 * [backup-simplify]: Simplify 0 into 0
7.730 * [backup-simplify]: Simplify 1 into 1
7.730 * [backup-simplify]: Simplify (* 1 1) into 1
7.730 * [backup-simplify]: Simplify (/ 1 1) into 1
7.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.730 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.730 * [taylor]: Taking taylor expansion of re in im
7.730 * [backup-simplify]: Simplify re into re
7.730 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.731 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.731 * [backup-simplify]: Simplify (+ 1 0) into 1
7.731 * [backup-simplify]: Simplify (sqrt 1) into 1
7.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.732 * [backup-simplify]: Simplify (+ 0 0) into 0
7.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.733 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.733 * [taylor]: Taking taylor expansion of re in im
7.733 * [backup-simplify]: Simplify re into re
7.733 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.733 * [backup-simplify]: Simplify (+ 1 0) into 1
7.734 * [backup-simplify]: Simplify (/ 1 1) into 1
7.734 * [backup-simplify]: Simplify (sqrt 0) into 0
7.735 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.735 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
7.735 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
7.735 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.736 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
7.736 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
7.736 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.736 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.736 * [taylor]: Taking taylor expansion of im in im
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [backup-simplify]: Simplify 1 into 1
7.736 * [backup-simplify]: Simplify (* 1 1) into 1
7.736 * [backup-simplify]: Simplify (/ 1 1) into 1
7.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.736 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.737 * [taylor]: Taking taylor expansion of re in im
7.737 * [backup-simplify]: Simplify re into re
7.737 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.737 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.737 * [backup-simplify]: Simplify (+ 1 0) into 1
7.738 * [backup-simplify]: Simplify (sqrt 1) into 1
7.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.739 * [backup-simplify]: Simplify (+ 0 0) into 0
7.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.740 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.740 * [taylor]: Taking taylor expansion of re in im
7.740 * [backup-simplify]: Simplify re into re
7.740 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.740 * [backup-simplify]: Simplify (+ 1 0) into 1
7.741 * [backup-simplify]: Simplify (/ 1 1) into 1
7.741 * [backup-simplify]: Simplify (sqrt 0) into 0
7.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.742 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) 0) into 0
7.742 * [taylor]: Taking taylor expansion of 0 in re
7.742 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (/ 1 im))))
7.743 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (/ 1 im)))) in re
7.743 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re
7.743 * [taylor]: Taking taylor expansion of +nan.0 in re
7.743 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.743 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.743 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.743 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
7.744 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
7.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
7.745 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
7.746 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re)))))
7.746 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re))))) in re
7.746 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re)))) in re
7.746 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re
7.746 * [taylor]: Taking taylor expansion of +nan.0 in re
7.746 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.746 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.746 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.746 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ 1 im)) re))) in re
7.746 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) re)) in re
7.746 * [taylor]: Taking taylor expansion of +nan.0 in re
7.746 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.746 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) re) in re
7.746 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.746 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.746 * [taylor]: Taking taylor expansion of re in re
7.746 * [backup-simplify]: Simplify 0 into 0
7.746 * [backup-simplify]: Simplify 1 into 1
7.746 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im))
7.746 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im)))
7.747 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im))))
7.747 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im))))
7.747 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im))))
7.747 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im))))
7.747 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im)))
7.747 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im))))
7.747 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im))))
7.747 * [backup-simplify]: Simplify 0 into 0
7.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.749 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
7.751 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.751 * [backup-simplify]: Simplify (- 0) into 0
7.751 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
7.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.752 * [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))))
7.754 * [backup-simplify]: Simplify (+ (* (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 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))))))
7.754 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))))) in re
7.754 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))))) in re
7.754 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re
7.754 * [taylor]: Taking taylor expansion of +nan.0 in re
7.754 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.754 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.754 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.754 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))) in re
7.754 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))) in re
7.754 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) re)) in re
7.754 * [taylor]: Taking taylor expansion of +nan.0 in re
7.754 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.754 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) re) in re
7.754 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.754 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.754 * [taylor]: Taking taylor expansion of re in re
7.754 * [backup-simplify]: Simplify 0 into 0
7.755 * [backup-simplify]: Simplify 1 into 1
7.755 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im))
7.755 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))) in re
7.755 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))) in re
7.755 * [taylor]: Taking taylor expansion of +nan.0 in re
7.755 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.755 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) (pow re 2)) in re
7.755 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.755 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.755 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.755 * [taylor]: Taking taylor expansion of re in re
7.755 * [backup-simplify]: Simplify 0 into 0
7.755 * [backup-simplify]: Simplify 1 into 1
7.755 * [backup-simplify]: Simplify (* 1 1) into 1
7.755 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im))
7.756 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im)))
7.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)))) into 0
7.757 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ 1 im)))) into 0
7.758 * [backup-simplify]: Simplify (- 0) into 0
7.758 * [backup-simplify]: Simplify (+ (* +nan.0 (fabs (/ 1 im))) 0) into (- (* +nan.0 (fabs (/ 1 im))))
7.758 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im))))
7.758 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im))))
7.758 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im))))
7.758 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im))))
7.760 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 3))) (+ (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (* 1 (/ 1 im))) (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))))) into (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (* (fabs im) re) (pow im 2))) (- (* +nan.0 (/ (* (fabs im) re) (pow im 3))))))))
7.760 * [backup-simplify]: Simplify (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (fabs (/ -1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))
7.760 * [approximate]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0
7.760 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
7.760 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.760 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.760 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
7.760 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
7.760 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.760 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.760 * [taylor]: Taking taylor expansion of re in re
7.760 * [backup-simplify]: Simplify 0 into 0
7.760 * [backup-simplify]: Simplify 1 into 1
7.761 * [backup-simplify]: Simplify (/ 1 1) into 1
7.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.761 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.761 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.761 * [taylor]: Taking taylor expansion of im in re
7.761 * [backup-simplify]: Simplify im into im
7.761 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.761 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.761 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.761 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.761 * [taylor]: Taking taylor expansion of re in re
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [backup-simplify]: Simplify 1 into 1
7.762 * [backup-simplify]: Simplify (* 1 1) into 1
7.762 * [backup-simplify]: Simplify (/ 1 1) into 1
7.763 * [backup-simplify]: Simplify (+ 0 1) into 1
7.763 * [backup-simplify]: Simplify (sqrt 1) into 1
7.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.764 * [backup-simplify]: Simplify (+ 0 0) into 0
7.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.765 * [backup-simplify]: Simplify (+ 1 1) into 2
7.766 * [backup-simplify]: Simplify (/ 1 2) into 1/2
7.766 * [backup-simplify]: Simplify (sqrt 0) into 0
7.767 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
7.767 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
7.767 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
7.767 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
7.768 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
7.768 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.768 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.768 * [taylor]: Taking taylor expansion of re in im
7.768 * [backup-simplify]: Simplify re into re
7.768 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.768 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.768 * [taylor]: Taking taylor expansion of im in im
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [backup-simplify]: Simplify 1 into 1
7.768 * [backup-simplify]: Simplify (* 1 1) into 1
7.769 * [backup-simplify]: Simplify (/ 1 1) into 1
7.769 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.769 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.769 * [taylor]: Taking taylor expansion of re in im
7.769 * [backup-simplify]: Simplify re into re
7.769 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.769 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.769 * [backup-simplify]: Simplify (+ 1 0) into 1
7.770 * [backup-simplify]: Simplify (sqrt 1) into 1
7.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.771 * [backup-simplify]: Simplify (+ 0 0) into 0
7.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.772 * [backup-simplify]: Simplify (+ 0 1) into 1
7.773 * [backup-simplify]: Simplify (/ 1 1) into 1
7.773 * [backup-simplify]: Simplify (sqrt 0) into 0
7.774 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.774 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
7.774 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
7.774 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
7.774 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
7.774 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.774 * [taylor]: Taking taylor expansion of re in im
7.774 * [backup-simplify]: Simplify re into re
7.775 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.775 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.775 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.775 * [taylor]: Taking taylor expansion of im in im
7.775 * [backup-simplify]: Simplify 0 into 0
7.775 * [backup-simplify]: Simplify 1 into 1
7.775 * [backup-simplify]: Simplify (* 1 1) into 1
7.775 * [backup-simplify]: Simplify (/ 1 1) into 1
7.775 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.775 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.775 * [taylor]: Taking taylor expansion of re in im
7.776 * [backup-simplify]: Simplify re into re
7.776 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.776 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.776 * [backup-simplify]: Simplify (+ 1 0) into 1
7.776 * [backup-simplify]: Simplify (sqrt 1) into 1
7.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.778 * [backup-simplify]: Simplify (+ 0 0) into 0
7.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.779 * [backup-simplify]: Simplify (+ 0 1) into 1
7.779 * [backup-simplify]: Simplify (/ 1 1) into 1
7.780 * [backup-simplify]: Simplify (sqrt 0) into 0
7.781 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.781 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) 0) into 0
7.781 * [taylor]: Taking taylor expansion of 0 in re
7.781 * [backup-simplify]: Simplify 0 into 0
7.781 * [backup-simplify]: Simplify 0 into 0
7.782 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (/ -1 im))))
7.782 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (/ -1 im)))) in re
7.782 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re
7.782 * [taylor]: Taking taylor expansion of +nan.0 in re
7.782 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.782 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.782 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.782 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im)))
7.782 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im))))
7.782 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im))))
7.782 * [backup-simplify]: Simplify 0 into 0
7.782 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
7.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
7.784 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
7.785 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))))
7.785 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) in re
7.785 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))) in re
7.785 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re
7.785 * [taylor]: Taking taylor expansion of +nan.0 in re
7.785 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.785 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.785 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.785 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ -1 im)) re))) in re
7.785 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) re)) in re
7.785 * [taylor]: Taking taylor expansion of +nan.0 in re
7.785 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.785 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) re) in re
7.785 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.786 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.786 * [taylor]: Taking taylor expansion of re in re
7.786 * [backup-simplify]: Simplify 0 into 0
7.786 * [backup-simplify]: Simplify 1 into 1
7.786 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im))
7.786 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im)))
7.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ -1 im)) (/ 0 1)))) into 0
7.787 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ -1 im)))) into 0
7.787 * [backup-simplify]: Simplify (- 0) into 0
7.788 * [backup-simplify]: Simplify (+ (* +nan.0 (fabs (/ -1 im))) 0) into (- (* +nan.0 (fabs (/ -1 im))))
7.788 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im))))
7.788 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im))))
7.788 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ -1 im)))) into 0
7.789 * [backup-simplify]: Simplify (- 0) into 0
7.789 * [backup-simplify]: Simplify 0 into 0
7.789 * [backup-simplify]: Simplify 0 into 0
7.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.791 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
7.792 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.792 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
7.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.794 * [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))))
7.796 * [backup-simplify]: Simplify (+ (* (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 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))))))
7.796 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))))) in re
7.796 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))))) in re
7.796 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re
7.796 * [taylor]: Taking taylor expansion of +nan.0 in re
7.796 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.796 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.796 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.796 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) in re
7.796 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))) in re
7.796 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) in re
7.796 * [taylor]: Taking taylor expansion of +nan.0 in re
7.796 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.796 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) (pow re 2)) in re
7.796 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.796 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.796 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.796 * [taylor]: Taking taylor expansion of re in re
7.796 * [backup-simplify]: Simplify 0 into 0
7.796 * [backup-simplify]: Simplify 1 into 1
7.797 * [backup-simplify]: Simplify (* 1 1) into 1
7.797 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im))
7.797 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ -1 im)) re))) in re
7.797 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) re)) in re
7.797 * [taylor]: Taking taylor expansion of +nan.0 in re
7.797 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.797 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) re) in re
7.797 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.797 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.797 * [taylor]: Taking taylor expansion of re in re
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 1 into 1
7.797 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im))
7.797 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im)))
7.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ -1 im)) (/ 0 1)))) into 0
7.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ -1 im)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.807 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
7.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ -1 im)) (/ 0 1)))) into 0
7.808 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ -1 im)))) into 0
7.808 * [backup-simplify]: Simplify (- 0) into 0
7.808 * [backup-simplify]: Simplify (+ 0 0) into 0
7.809 * [backup-simplify]: Simplify (- 0) into 0
7.809 * [backup-simplify]: Simplify (+ (* +nan.0 (fabs (/ -1 im))) 0) into (- (* +nan.0 (fabs (/ -1 im))))
7.809 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im))))
7.809 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im))))
7.810 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (pow (* 1 (/ 1 (- im))) 3)) (+ (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (pow (* 1 (/ 1 (- im))) 2)) (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (* 1 (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (fabs im) (pow im 2))) (- (* +nan.0 (/ (fabs im) (pow im 3))))))))
7.810 * * * [progress]: simplifying candidates
7.812 * [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)
  (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (+ (log (sqrt 2.0)) (- (log (fabs im)) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (+ (log (sqrt 2.0)) (log (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (log (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (exp (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (cbrt (* (sqrt 2.0) (/ (fabs im) (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 (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (* (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1)))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1)))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt 1)))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt 1)))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) 1))
  (* (sqrt 2.0) (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (sqrt 2.0) (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (sqrt 2.0) (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (/ 1 (sqrt 1)))
  (* (sqrt 2.0) (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))
  (* (sqrt 2.0) (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))
  (* (sqrt 2.0) (/ 1 (sqrt 1)))
  (* (sqrt 2.0) (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (/ 1 1))
  (* (sqrt 2.0) 1)
  (* (sqrt 2.0) (fabs im))
  (* (sqrt 2.0) (/ (fabs im) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))))
  (* (sqrt 2.0) (/ (fabs im) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))))
  (* (cbrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (cbrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (fabs im))
  (- (log (fabs im)) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (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 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (fabs im))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (fabs im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1))
  (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (fabs im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (fabs im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1))
  (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1)
  (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (fabs im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (fabs im)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (fabs im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (fabs im)) (sqrt 1))
  (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (fabs im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (fabs im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (fabs im)) (sqrt 1))
  (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (fabs im)) 1)
  (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt 1))
  (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt 1))
  (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 1)
  (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im))
  (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (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)))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt 1))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt 1))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) 1)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im))
  (/ (fabs im) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (fabs im) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (- (+ (* +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))))))))
  (- (+ (* +nan.0 (/ (* (fabs im) im) (sqrt 2))) (- (+ (* +nan.0 (/ (* (fabs im) (* (pow re 2) (sqrt 2))) im)) (- (* +nan.0 (/ (* (fabs im) (* re (sqrt 2))) im)))))))
  (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (* (fabs im) re) (pow im 2))) (- (* +nan.0 (/ (* (fabs im) re) (pow im 3))))))))
  (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (fabs im) (pow im 2))) (- (* +nan.0 (/ (fabs im) (pow im 3))))))))
7.817 * * [simplify]: Extracting # 0 : cost  0
7.817 * * [simplify]: Extracting # 1 : cost  0
7.817 * * [simplify]: Extracting # 2 : cost  0
7.818 * * [simplify]: Extracting # 3 : cost  0
7.818 * * [simplify]: Extracting # 4 : cost  0
7.818 * * [simplify]: Extracting # 5 : cost  0
7.818 * * [simplify]: Extracting # 6 : cost  0
7.819 * * [simplify]: Extracting # 7 : cost  0
7.819 * * [simplify]: Extracting # 8 : cost  0
7.819 * * [simplify]: Extracting # 9 : cost  0
7.820 * * [simplify]: Extracting # 10 : cost  0
7.820 * * [simplify]: Extracting # 11 : cost  0
7.821 * * [simplify]: Extracting # 12 : cost  0
7.821 * * [simplify]: Extracting # 13 : cost  0
7.821 * * [simplify]: Extracting # 14 : cost  0
7.822 * * [simplify]: Extracting # 15 : cost  0
7.822 * * [simplify]: Extracting # 16 : cost  0
7.822 * * [simplify]: iteration  0 :  271  enodes  (cost  3346 )
7.907 * * [simplify]: Extracting # 0 : cost  0
7.908 * * [simplify]: Extracting # 1 : cost  0
7.908 * * [simplify]: Extracting # 2 : cost  0
7.909 * * [simplify]: Extracting # 3 : cost  0
7.910 * * [simplify]: Extracting # 4 : cost  0
7.911 * * [simplify]: iteration  1 :  696  enodes  (cost  3072 )
8.511 * * [simplify]: Extracting # 0 : cost  0
8.530 * * [simplify]: Extracting # 1 : cost  0
8.543 * * [simplify]: Extracting # 2 : cost  0
8.555 * * [simplify]: Extracting # 3 : cost  0
8.567 * * [simplify]: Extracting # 4 : cost  0
8.580 * * [simplify]: iteration  2 :  4590  enodes  (cost  2896 )
10.940 * * [simplify]: Extracting # 0 : cost  0
10.954 * * [simplify]: Extracting # 1 : cost  0
10.963 * * [simplify]: Extracting # 2 : cost  0
10.973 * * [simplify]: Extracting # 3 : cost  0
10.979 * * [simplify]: iteration done:  5000  enodes  (cost  2896 )
10.980 * [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 re) (* im im)))
  (- re)
  (- (+ (* 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)
  (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (log (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (log (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (exp (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (* (pow (fabs im) 3) (* 2.0 (sqrt 2.0))) (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 3))
  (* (* 2.0 (sqrt 2.0)) (pow (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3))
  (* (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (pow (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 3)
  (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (* (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (/ (cbrt (fabs im)) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (fabs im)))) (sqrt 2.0))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))
  (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (/ (sqrt (fabs im)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (sqrt (fabs im)))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))
  (* (sqrt 2.0) (sqrt (fabs im)))
  (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (sqrt (fabs im)))
  (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (sqrt 2.0)
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt 2.0)
  (* (fabs im) (sqrt 2.0))
  (* (sqrt 2.0) (/ (fabs im) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))))
  (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (+ (* re re) (* im im)) (* re re))))
  (* (cbrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (cbrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (fabs im) (sqrt 2.0))
  (log (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (pow (fabs im) 3) (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 3))
  (* (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (fabs im))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (fabs im)) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (fabs im))))
  (/ (cbrt (fabs im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (fabs im)) (cbrt (fabs im)))
  (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (fabs im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (fabs im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* (cbrt (fabs im)) (cbrt (fabs im)))
  (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (fabs im)) (cbrt (fabs im)))
  (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (fabs im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (fabs im)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (fabs im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (fabs im))
  (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (fabs im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (fabs im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (fabs im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (sqrt (fabs im))
  (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (fabs im))
  (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  1
  (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im))
  (/ (fabs im) (* (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))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (fabs im)
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im))
  (/ (fabs im) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (fabs im) (sqrt (- (+ (* re re) (* im im)) (* re re))))
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
  (+ (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im))) (* +nan.0 (- (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2)) (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im))))
  (+ (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2)))))
  (+ (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3)))))
  (+ (- (* +nan.0 (/ (* (fabs im) im) (sqrt 2)))) (* +nan.0 (- (/ (* (fabs im) (* (pow re 2) (sqrt 2))) im) (/ (* (fabs im) (* re (sqrt 2))) im))))
  (+ (* +nan.0 (- (/ (* (fabs im) re) (pow im 2)) (/ (* (fabs im) re) (pow im 3)))) (- (* +nan.0 (/ (fabs im) im))))
  (+ (* +nan.0 (- (/ (fabs im) (pow im 2)) (/ (fabs im) (pow im 3)))) (- (* +nan.0 (/ (fabs im) im))))
10.981 * * * [progress]: adding candidates to table
11.812 * [progress]: [Phase 3 of 3] Extracting.
11.813 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
11.817 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
11.817 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
11.912 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))>)
11.958 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
12.079 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
12.219 * * * [regime]: Found split indices: #<option (#s(si 1 41) #s(si 4 174) #s(si 0 179) #s(si 7 185) #s(si 0 255))>
12.220 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
12.470 * [regimes]: Found splitpoints: (#s(sp 1 re -2.4740957117892876e+117) #s(sp 4 re 5.1251846534840524e-96) #s(sp 0 re 1.7001244109494596e-83) #s(sp 7 re 9.422701723781502e-57) #s(sp 0 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
12.473 * [simplify]: Simplifying:
  (if (<= re -2.4740957117892876e+117) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))) (if (<= re 5.1251846534840524e-96) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (if (<= re 1.7001244109494596e-83) (* 0.5 (sqrt (* 2.0 (+ re re)))) (if (<= re 9.422701723781502e-57) (* 0.5 (* (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (* 0.5 (sqrt (* 2.0 (+ re re))))))))
12.474 * * [simplify]: Extracting # 0 : cost  0
12.474 * * [simplify]: Extracting # 1 : cost  0
12.474 * * [simplify]: Extracting # 2 : cost  0
12.474 * * [simplify]: Extracting # 3 : cost  0
12.474 * * [simplify]: Extracting # 4 : cost  0
12.474 * * [simplify]: Extracting # 5 : cost  0
12.474 * * [simplify]: Extracting # 6 : cost  0
12.474 * * [simplify]: Extracting # 7 : cost  0
12.474 * * [simplify]: Extracting # 8 : cost  0
12.474 * * [simplify]: Extracting # 9 : cost  0
12.474 * * [simplify]: Extracting # 10 : cost  0
12.475 * * [simplify]: Extracting # 11 : cost  0
12.475 * * [simplify]: Extracting # 12 : cost  0
12.475 * * [simplify]: Extracting # 13 : cost  0
12.475 * * [simplify]: Extracting # 14 : cost  0
12.475 * * [simplify]: Extracting # 15 : cost  0
12.475 * * [simplify]: Extracting # 16 : cost  0
12.475 * * [simplify]: Extracting # 17 : cost  0
12.475 * * [simplify]: iteration  0 :  41  enodes  (cost  99 )
12.480 * * [simplify]: Extracting # 0 : cost  0
12.480 * * [simplify]: Extracting # 1 : cost  0
12.480 * * [simplify]: Extracting # 2 : cost  0
12.480 * * [simplify]: Extracting # 3 : cost  0
12.480 * * [simplify]: Extracting # 4 : cost  0
12.480 * * [simplify]: Extracting # 5 : cost  0
12.481 * * [simplify]: iteration  1 :  55  enodes  (cost  92 )
12.486 * * [simplify]: Extracting # 0 : cost  0
12.486 * * [simplify]: iteration done:  55  enodes  (cost  92 )
12.486 * [simplify]: Simplified to:
  (if (<= re -2.4740957117892876e+117) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))) (if (<= re 5.1251846534840524e-96) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (if (or (<= re 1.7001244109494596e-83) (not (<= re 9.422701723781502e-57))) (* 0.5 (sqrt (* 2.0 (+ re re)))) (* 0.5 (* (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))))
15.897 * [regime-testing]: Baseline error score: 36.82202037421805
15.899 * [regime-testing]: Oracle error score: 7.796993196009297
15.903 * [regime-testing]: End program error score: 20.989015438020314
16.050 * [regime-testing]: Target error score: 33.27953855422903