19.369 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.067 * * * [progress]: [2/2] Setting up program.
0.072 * [progress]: [Phase 2 of 3] Improving.
0.073 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.073 * * [simplify]: Extracting # 0 : cost  0
0.073 * * [simplify]: Extracting # 1 : cost  0
0.073 * * [simplify]: Extracting # 2 : cost  0
0.073 * * [simplify]: Extracting # 3 : cost  0
0.073 * * [simplify]: Extracting # 4 : cost  0
0.073 * * [simplify]: Extracting # 5 : cost  0
0.073 * * [simplify]: Extracting # 6 : cost  0
0.073 * * [simplify]: Extracting # 7 : cost  0
0.073 * * [simplify]: Extracting # 8 : cost  0
0.073 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.075 * * [simplify]: Extracting # 0 : cost  0
0.075 * * [simplify]: Extracting # 1 : cost  0
0.075 * * [simplify]: Extracting # 2 : cost  0
0.075 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.079 * * [simplify]: Extracting # 0 : cost  0
0.079 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.082 * * [simplify]: Extracting # 0 : cost  0
0.083 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.083 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.083 * * [progress]: iteration 1 / 4
0.083 * * * [progress]: picking best candidate
0.085 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.085 * * * [progress]: localizing error
0.098 * * * [progress]: generating rewritten candidates
0.098 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.111 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.159 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.191 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.201 * * * [progress]: generating series expansions
0.201 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.201 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.201 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.201 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.201 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.201 * [taylor]: Taking taylor expansion of re in im
0.201 * [backup-simplify]: Simplify re into re
0.201 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.201 * [taylor]: Taking taylor expansion of im in im
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.201 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.201 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.201 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.202 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.202 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.202 * [taylor]: Taking taylor expansion of re in re
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.202 * [taylor]: Taking taylor expansion of im in re
0.202 * [backup-simplify]: Simplify im into im
0.202 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.202 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.202 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.202 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.203 * [backup-simplify]: Simplify (+ 0 0) into 0
0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.203 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.203 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.203 * [taylor]: Taking taylor expansion of re in re
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.203 * [taylor]: Taking taylor expansion of im in re
0.203 * [backup-simplify]: Simplify im into im
0.203 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.203 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.203 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.203 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.204 * [taylor]: Taking taylor expansion of im in im
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [taylor]: Taking taylor expansion of 0 in im
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (* 1 1) into 1
0.204 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.205 * [backup-simplify]: Simplify (+ 1 0) into 1
0.206 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.206 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.206 * [taylor]: Taking taylor expansion of 1/2 in im
0.206 * [backup-simplify]: Simplify 1/2 into 1/2
0.206 * [taylor]: Taking taylor expansion of im in im
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.209 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.209 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.209 * [taylor]: Taking taylor expansion of 0 in im
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.211 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.211 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.211 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.211 * [taylor]: Taking taylor expansion of im in im
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (* 1 1) into 1
0.212 * [backup-simplify]: Simplify (/ 1 1) into 1
0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.212 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.212 * [taylor]: Taking taylor expansion of re in im
0.212 * [backup-simplify]: Simplify re into re
0.212 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.212 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.213 * [backup-simplify]: Simplify (+ 1 0) into 1
0.213 * [backup-simplify]: Simplify (sqrt 1) into 1
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.216 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.216 * [taylor]: Taking taylor expansion of im in re
0.216 * [backup-simplify]: Simplify im into im
0.216 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.216 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.217 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.217 * [taylor]: Taking taylor expansion of re in re
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (/ 1 1) into 1
0.218 * [backup-simplify]: Simplify (+ 0 1) into 1
0.218 * [backup-simplify]: Simplify (sqrt 1) into 1
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.221 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.221 * [taylor]: Taking taylor expansion of im in re
0.221 * [backup-simplify]: Simplify im into im
0.221 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.221 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.221 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.221 * [taylor]: Taking taylor expansion of re in re
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [backup-simplify]: Simplify (* 1 1) into 1
0.222 * [backup-simplify]: Simplify (/ 1 1) into 1
0.222 * [backup-simplify]: Simplify (+ 0 1) into 1
0.222 * [backup-simplify]: Simplify (sqrt 1) into 1
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.224 * [taylor]: Taking taylor expansion of 1 in im
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [taylor]: Taking taylor expansion of 0 in im
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.226 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.226 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.226 * [taylor]: Taking taylor expansion of 1/2 in im
0.226 * [backup-simplify]: Simplify 1/2 into 1/2
0.226 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.226 * [taylor]: Taking taylor expansion of im in im
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [backup-simplify]: Simplify (* 1 1) into 1
0.227 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.230 * [taylor]: Taking taylor expansion of 0 in im
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.234 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.235 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.235 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.235 * [taylor]: Taking taylor expansion of im in im
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (* 1 1) into 1
0.235 * [backup-simplify]: Simplify (/ 1 1) into 1
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.235 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.235 * [taylor]: Taking taylor expansion of re in im
0.235 * [backup-simplify]: Simplify re into re
0.235 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.236 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.236 * [backup-simplify]: Simplify (+ 1 0) into 1
0.236 * [backup-simplify]: Simplify (sqrt 1) into 1
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.238 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.238 * [taylor]: Taking taylor expansion of im in re
0.238 * [backup-simplify]: Simplify im into im
0.238 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.238 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.238 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.238 * [taylor]: Taking taylor expansion of re in re
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.238 * [backup-simplify]: Simplify (* 1 1) into 1
0.238 * [backup-simplify]: Simplify (/ 1 1) into 1
0.239 * [backup-simplify]: Simplify (+ 0 1) into 1
0.239 * [backup-simplify]: Simplify (sqrt 1) into 1
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.240 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.240 * [taylor]: Taking taylor expansion of im in re
0.240 * [backup-simplify]: Simplify im into im
0.240 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.241 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.241 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.241 * [taylor]: Taking taylor expansion of re in re
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 1) into 1
0.241 * [backup-simplify]: Simplify (+ 0 1) into 1
0.242 * [backup-simplify]: Simplify (sqrt 1) into 1
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.243 * [taylor]: Taking taylor expansion of 1 in im
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of 0 in im
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.245 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.245 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.245 * [taylor]: Taking taylor expansion of 1/2 in im
0.245 * [backup-simplify]: Simplify 1/2 into 1/2
0.245 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.245 * [taylor]: Taking taylor expansion of im in im
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (* 1 1) into 1
0.246 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.249 * [taylor]: Taking taylor expansion of 0 in im
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.250 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.250 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.250 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.250 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.250 * [taylor]: Taking taylor expansion of re in im
0.250 * [backup-simplify]: Simplify re into re
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.250 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.250 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.250 * [taylor]: Taking taylor expansion of re in im
0.250 * [backup-simplify]: Simplify re into re
0.250 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.250 * [taylor]: Taking taylor expansion of im in im
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.251 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.251 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.251 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.251 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.251 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.251 * [taylor]: Taking taylor expansion of im in re
0.251 * [backup-simplify]: Simplify im into im
0.251 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.252 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.252 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.252 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.252 * [taylor]: Taking taylor expansion of re in re
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.252 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.252 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.252 * [taylor]: Taking taylor expansion of re in re
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.252 * [taylor]: Taking taylor expansion of im in re
0.252 * [backup-simplify]: Simplify im into im
0.252 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.252 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.252 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.253 * [backup-simplify]: Simplify (+ 0 im) into im
0.253 * [taylor]: Taking taylor expansion of im in im
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (+ 1 0) into 1
0.253 * [taylor]: Taking taylor expansion of 1 in im
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (* 1 1) into 1
0.254 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.254 * [backup-simplify]: Simplify (+ 1 0) into 1
0.255 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.255 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.255 * [taylor]: Taking taylor expansion of 1/2 in im
0.255 * [backup-simplify]: Simplify 1/2 into 1/2
0.255 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.255 * [taylor]: Taking taylor expansion of im in im
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
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.257 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [taylor]: Taking taylor expansion of 0 in im
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.261 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.261 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.261 * [taylor]: Taking taylor expansion of re in im
0.261 * [backup-simplify]: Simplify re into re
0.261 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.261 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.261 * [taylor]: Taking taylor expansion of im in im
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.262 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.262 * [taylor]: Taking taylor expansion of re in im
0.262 * [backup-simplify]: Simplify re into re
0.262 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.262 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.263 * [backup-simplify]: Simplify (+ 1 0) into 1
0.263 * [backup-simplify]: Simplify (sqrt 1) into 1
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.266 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.266 * [taylor]: Taking taylor expansion of re in re
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (/ 1 1) into 1
0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.266 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.266 * [taylor]: Taking taylor expansion of im in re
0.266 * [backup-simplify]: Simplify im into im
0.266 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.267 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.267 * [taylor]: Taking taylor expansion of re in re
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (* 1 1) into 1
0.267 * [backup-simplify]: Simplify (/ 1 1) into 1
0.268 * [backup-simplify]: Simplify (+ 0 1) into 1
0.268 * [backup-simplify]: Simplify (sqrt 1) into 1
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.271 * [taylor]: Taking taylor expansion of re in re
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.272 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.272 * [taylor]: Taking taylor expansion of im in re
0.272 * [backup-simplify]: Simplify im into im
0.272 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.272 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.272 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.272 * [taylor]: Taking taylor expansion of re in re
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (* 1 1) into 1
0.273 * [backup-simplify]: Simplify (/ 1 1) into 1
0.273 * [backup-simplify]: Simplify (+ 0 1) into 1
0.274 * [backup-simplify]: Simplify (sqrt 1) into 1
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.277 * [backup-simplify]: Simplify (+ 1 1) into 2
0.277 * [taylor]: Taking taylor expansion of 2 in im
0.277 * [backup-simplify]: Simplify 2 into 2
0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [taylor]: Taking taylor expansion of 0 in im
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 2 into 2
0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.283 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.283 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.283 * [taylor]: Taking taylor expansion of 1/2 in im
0.283 * [backup-simplify]: Simplify 1/2 into 1/2
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.283 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.283 * [taylor]: Taking taylor expansion of im in im
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.284 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.285 * [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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [taylor]: Taking taylor expansion of 0 in im
0.291 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.295 * [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))
0.295 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.295 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.295 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.295 * [taylor]: Taking taylor expansion of im in im
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.296 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.296 * [taylor]: Taking taylor expansion of re in im
0.296 * [backup-simplify]: Simplify re into re
0.296 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.297 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.297 * [backup-simplify]: Simplify (+ 1 0) into 1
0.297 * [backup-simplify]: Simplify (sqrt 1) into 1
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.300 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.300 * [taylor]: Taking taylor expansion of re in im
0.300 * [backup-simplify]: Simplify re into re
0.300 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.300 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.300 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.300 * [taylor]: Taking taylor expansion of im in re
0.300 * [backup-simplify]: Simplify im into im
0.300 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.301 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.301 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.301 * [taylor]: Taking taylor expansion of re in re
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (* 1 1) into 1
0.302 * [backup-simplify]: Simplify (/ 1 1) into 1
0.302 * [backup-simplify]: Simplify (+ 0 1) into 1
0.302 * [backup-simplify]: Simplify (sqrt 1) into 1
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.305 * [taylor]: Taking taylor expansion of re in re
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (/ 1 1) into 1
0.305 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.305 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.305 * [taylor]: Taking taylor expansion of im in re
0.305 * [backup-simplify]: Simplify im into im
0.305 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.305 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.305 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.305 * [taylor]: Taking taylor expansion of re in re
0.305 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [backup-simplify]: Simplify (+ 0 1) into 1
0.307 * [backup-simplify]: Simplify (sqrt 1) into 1
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.308 * [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
0.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.308 * [taylor]: Taking taylor expansion of re in re
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [backup-simplify]: Simplify (- 1) into -1
0.309 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.309 * [taylor]: Taking taylor expansion of 0 in im
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (- 0) 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 0 into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.312 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (- 0) into 0
0.313 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.313 * [taylor]: Taking taylor expansion of 1/2 in im
0.313 * [backup-simplify]: Simplify 1/2 into 1/2
0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.313 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.313 * [taylor]: Taking taylor expansion of im in im
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (* 1 1) into 1
0.313 * [backup-simplify]: Simplify (/ 1 1) into 1
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (- 0) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [taylor]: Taking taylor expansion of 0 in im
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.320 * [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))))))
0.320 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.320 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.320 * [taylor]: Taking taylor expansion of 2.0 in im
0.320 * [backup-simplify]: Simplify 2.0 into 2.0
0.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.321 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.321 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.321 * [taylor]: Taking taylor expansion of re in im
0.321 * [backup-simplify]: Simplify re into re
0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.321 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.321 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.321 * [taylor]: Taking taylor expansion of re in im
0.321 * [backup-simplify]: Simplify re into re
0.321 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.321 * [taylor]: Taking taylor expansion of im in im
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.321 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.321 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.321 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.322 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.322 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.322 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.322 * [taylor]: Taking taylor expansion of 2.0 in re
0.322 * [backup-simplify]: Simplify 2.0 into 2.0
0.322 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.323 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.323 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.323 * [taylor]: Taking taylor expansion of re in re
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.323 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.323 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.323 * [taylor]: Taking taylor expansion of re in re
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.323 * [taylor]: Taking taylor expansion of im in re
0.323 * [backup-simplify]: Simplify im into im
0.323 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.323 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.323 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 im) into im
0.324 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.324 * [backup-simplify]: Simplify (+ 1 0) into 1
0.324 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.324 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.324 * [taylor]: Taking taylor expansion of 2.0 in re
0.324 * [backup-simplify]: Simplify 2.0 into 2.0
0.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.325 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.325 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.325 * [taylor]: Taking taylor expansion of re in re
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.325 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.325 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.325 * [taylor]: Taking taylor expansion of re in re
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.325 * [taylor]: Taking taylor expansion of im in re
0.325 * [backup-simplify]: Simplify im into im
0.325 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.325 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.325 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.325 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.326 * [backup-simplify]: Simplify (+ 0 im) into im
0.326 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.326 * [backup-simplify]: Simplify (+ 1 0) into 1
0.326 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.327 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.327 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.327 * [taylor]: Taking taylor expansion of 2.0 in im
0.327 * [backup-simplify]: Simplify 2.0 into 2.0
0.327 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.327 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.328 * [taylor]: Taking taylor expansion of im in im
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (sqrt 0) into 0
0.329 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.329 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.330 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.330 * [taylor]: Taking taylor expansion of 1/2 in im
0.330 * [backup-simplify]: Simplify 1/2 into 1/2
0.330 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.330 * [taylor]: Taking taylor expansion of 2.0 in im
0.330 * [backup-simplify]: Simplify 2.0 into 2.0
0.330 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.330 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.330 * [taylor]: Taking taylor expansion of im in im
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (/ 1 1) into 1
0.331 * [backup-simplify]: Simplify (sqrt 0) into 0
0.332 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.333 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.333 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.336 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.336 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.338 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.339 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.339 * [backup-simplify]: Simplify (* 1 1) into 1
0.339 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.339 * [backup-simplify]: Simplify (+ 1 0) into 1
0.340 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.340 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.341 * [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))))
0.341 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.342 * [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)))))
0.342 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.342 * [taylor]: Taking taylor expansion of 1/8 in im
0.342 * [backup-simplify]: Simplify 1/8 into 1/8
0.342 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.342 * [taylor]: Taking taylor expansion of 2.0 in im
0.342 * [backup-simplify]: Simplify 2.0 into 2.0
0.342 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.343 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.343 * [taylor]: Taking taylor expansion of im in im
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.343 * [backup-simplify]: Simplify (* 1 1) into 1
0.343 * [backup-simplify]: Simplify (* 1 1) into 1
0.343 * [backup-simplify]: Simplify (/ 1 1) into 1
0.344 * [backup-simplify]: Simplify (sqrt 0) into 0
0.344 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.353 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.355 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.355 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.361 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.362 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.368 * [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)))))))
0.368 * [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)))))))
0.368 * [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
0.368 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.368 * [taylor]: Taking taylor expansion of 2.0 in im
0.368 * [backup-simplify]: Simplify 2.0 into 2.0
0.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.369 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.369 * [taylor]: Taking taylor expansion of re in im
0.369 * [backup-simplify]: Simplify re into re
0.369 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.369 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.369 * [taylor]: Taking taylor expansion of im in im
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (* 1 1) into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.370 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.370 * [taylor]: Taking taylor expansion of re in im
0.370 * [backup-simplify]: Simplify re into re
0.370 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.370 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.370 * [backup-simplify]: Simplify (+ 1 0) into 1
0.371 * [backup-simplify]: Simplify (sqrt 1) into 1
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.372 * [backup-simplify]: Simplify (+ 0 1) into 1
0.372 * [backup-simplify]: Simplify (sqrt 0) into 0
0.373 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.373 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.373 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.373 * [taylor]: Taking taylor expansion of 2.0 in re
0.373 * [backup-simplify]: Simplify 2.0 into 2.0
0.374 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.374 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.374 * [taylor]: Taking taylor expansion of re in re
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (/ 1 1) into 1
0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.375 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.375 * [taylor]: Taking taylor expansion of im in re
0.375 * [backup-simplify]: Simplify im into im
0.375 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.375 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.375 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.375 * [taylor]: Taking taylor expansion of re in re
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (* 1 1) into 1
0.376 * [backup-simplify]: Simplify (/ 1 1) into 1
0.376 * [backup-simplify]: Simplify (+ 0 1) into 1
0.376 * [backup-simplify]: Simplify (sqrt 1) into 1
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ 0 0) into 0
0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.378 * [backup-simplify]: Simplify (+ 1 1) into 2
0.378 * [backup-simplify]: Simplify (sqrt 0) into 0
0.379 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.379 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.379 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.379 * [taylor]: Taking taylor expansion of 2.0 in re
0.379 * [backup-simplify]: Simplify 2.0 into 2.0
0.379 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.380 * [taylor]: Taking taylor expansion of re in re
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.380 * [backup-simplify]: Simplify (/ 1 1) into 1
0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.380 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.380 * [taylor]: Taking taylor expansion of im in re
0.380 * [backup-simplify]: Simplify im into im
0.380 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.380 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.380 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.380 * [taylor]: Taking taylor expansion of re in re
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (* 1 1) into 1
0.381 * [backup-simplify]: Simplify (/ 1 1) into 1
0.381 * [backup-simplify]: Simplify (+ 0 1) into 1
0.381 * [backup-simplify]: Simplify (sqrt 1) into 1
0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.383 * [backup-simplify]: Simplify (+ 1 1) into 2
0.383 * [backup-simplify]: Simplify (sqrt 0) into 0
0.384 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.384 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.384 * [taylor]: Taking taylor expansion of 0 in im
0.384 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.386 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.386 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.386 * [taylor]: Taking taylor expansion of +nan.0 in im
0.386 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.386 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.386 * [taylor]: Taking taylor expansion of 2.0 in im
0.386 * [backup-simplify]: Simplify 2.0 into 2.0
0.386 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.386 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.389 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.390 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.391 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.391 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.391 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.391 * [taylor]: Taking taylor expansion of +nan.0 in im
0.391 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.391 * [taylor]: Taking taylor expansion of 2.0 in im
0.391 * [backup-simplify]: Simplify 2.0 into 2.0
0.392 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.393 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.393 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.394 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.394 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.397 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.397 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.400 * [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))
0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.403 * [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)))))
0.403 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.403 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.403 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.403 * [taylor]: Taking taylor expansion of +nan.0 in im
0.403 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.403 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.403 * [taylor]: Taking taylor expansion of 2.0 in im
0.403 * [backup-simplify]: Simplify 2.0 into 2.0
0.403 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.404 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.404 * [taylor]: Taking taylor expansion of im in im
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.406 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.406 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.406 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.406 * [taylor]: Taking taylor expansion of +nan.0 in im
0.406 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.406 * [taylor]: Taking taylor expansion of 2.0 in im
0.406 * [backup-simplify]: Simplify 2.0 into 2.0
0.407 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.409 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.410 * [backup-simplify]: Simplify (+ 0 0) into 0
0.410 * [backup-simplify]: Simplify (- 0) into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.411 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.412 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.413 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.413 * [backup-simplify]: Simplify (- 0) into 0
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.417 * [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)))
0.418 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.419 * [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)))))
0.419 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.419 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.419 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.419 * [taylor]: Taking taylor expansion of +nan.0 in im
0.419 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.419 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.419 * [taylor]: Taking taylor expansion of 2.0 in im
0.419 * [backup-simplify]: Simplify 2.0 into 2.0
0.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.420 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.420 * [taylor]: Taking taylor expansion of im in im
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (* 1 1) into 1
0.421 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.421 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.421 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.421 * [taylor]: Taking taylor expansion of +nan.0 in im
0.421 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.421 * [taylor]: Taking taylor expansion of 2.0 in im
0.421 * [backup-simplify]: Simplify 2.0 into 2.0
0.421 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.423 * [backup-simplify]: Simplify (- 0) into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.427 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.427 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.429 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.430 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.431 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.434 * [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)))))))
0.435 * [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))))
0.435 * [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
0.435 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.435 * [taylor]: Taking taylor expansion of 2.0 in im
0.435 * [backup-simplify]: Simplify 2.0 into 2.0
0.435 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.436 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.436 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.436 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.436 * [taylor]: Taking taylor expansion of im in im
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 1 into 1
0.436 * [backup-simplify]: Simplify (* 1 1) into 1
0.436 * [backup-simplify]: Simplify (/ 1 1) into 1
0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.436 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.436 * [taylor]: Taking taylor expansion of re in im
0.436 * [backup-simplify]: Simplify re into re
0.436 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.437 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.437 * [backup-simplify]: Simplify (+ 1 0) into 1
0.437 * [backup-simplify]: Simplify (sqrt 1) into 1
0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (+ 0 0) into 0
0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.439 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.439 * [taylor]: Taking taylor expansion of re in im
0.439 * [backup-simplify]: Simplify re into re
0.439 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.439 * [backup-simplify]: Simplify (+ 1 0) into 1
0.439 * [backup-simplify]: Simplify (sqrt 0) into 0
0.440 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.440 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.440 * [taylor]: Taking taylor expansion of 2.0 in re
0.440 * [backup-simplify]: Simplify 2.0 into 2.0
0.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.441 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.441 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.441 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.441 * [taylor]: Taking taylor expansion of im in re
0.441 * [backup-simplify]: Simplify im into im
0.441 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.441 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.441 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.441 * [taylor]: Taking taylor expansion of re in re
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 1 into 1
0.441 * [backup-simplify]: Simplify (* 1 1) into 1
0.442 * [backup-simplify]: Simplify (/ 1 1) into 1
0.442 * [backup-simplify]: Simplify (+ 0 1) into 1
0.442 * [backup-simplify]: Simplify (sqrt 1) into 1
0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.443 * [backup-simplify]: Simplify (+ 0 0) into 0
0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.444 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.444 * [taylor]: Taking taylor expansion of re in re
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (/ 1 1) into 1
0.444 * [backup-simplify]: Simplify (- 1) into -1
0.444 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.445 * [backup-simplify]: Simplify (- 0) into 0
0.445 * [backup-simplify]: Simplify (+ 0 0) into 0
0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.447 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (- 0) into 0
0.451 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.452 * [backup-simplify]: Simplify (sqrt 0) into 0
0.452 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.452 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.452 * [taylor]: Taking taylor expansion of 2.0 in re
0.452 * [backup-simplify]: Simplify 2.0 into 2.0
0.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.454 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.454 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.454 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.454 * [taylor]: Taking taylor expansion of im in re
0.454 * [backup-simplify]: Simplify im into im
0.454 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.454 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.454 * [taylor]: Taking taylor expansion of re in re
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 1 into 1
0.455 * [backup-simplify]: Simplify (* 1 1) into 1
0.455 * [backup-simplify]: Simplify (/ 1 1) into 1
0.455 * [backup-simplify]: Simplify (+ 0 1) into 1
0.456 * [backup-simplify]: Simplify (sqrt 1) into 1
0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ 0 0) into 0
0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.458 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.458 * [taylor]: Taking taylor expansion of re in re
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (/ 1 1) into 1
0.459 * [backup-simplify]: Simplify (- 1) into -1
0.460 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (- 0) into 0
0.461 * [backup-simplify]: Simplify (+ 0 0) into 0
0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.464 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (- 0) into 0
0.466 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.466 * [backup-simplify]: Simplify (sqrt 0) into 0
0.467 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.467 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.468 * [taylor]: Taking taylor expansion of 0 in im
0.468 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.469 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.469 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.469 * [taylor]: Taking taylor expansion of +nan.0 in im
0.469 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.469 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.469 * [taylor]: Taking taylor expansion of 2.0 in im
0.469 * [backup-simplify]: Simplify 2.0 into 2.0
0.469 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.470 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.470 * [taylor]: Taking taylor expansion of im in im
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (* 1 1) into 1
0.471 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.474 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.474 * [backup-simplify]: Simplify (- 0) into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.478 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (- 0) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.483 * [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))))
0.483 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.483 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.483 * [taylor]: Taking taylor expansion of +nan.0 in im
0.484 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.484 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.484 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.484 * [taylor]: Taking taylor expansion of 2.0 in im
0.484 * [backup-simplify]: Simplify 2.0 into 2.0
0.484 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.485 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.485 * [taylor]: Taking taylor expansion of im in im
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.486 * [backup-simplify]: Simplify (* 1 1) into 1
0.487 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.488 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.500 * [backup-simplify]: Simplify (- 0) into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.505 * [backup-simplify]: Simplify (- 0) into 0
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ 0 0) into 0
0.510 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (- 0) into 0
0.511 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.512 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
0.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.514 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.514 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.514 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.514 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.514 * [taylor]: Taking taylor expansion of +nan.0 in im
0.514 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.514 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.514 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.514 * [taylor]: Taking taylor expansion of 2.0 in im
0.514 * [backup-simplify]: Simplify 2.0 into 2.0
0.515 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.515 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.515 * [taylor]: Taking taylor expansion of im in im
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.516 * [backup-simplify]: Simplify (* 1 1) into 1
0.516 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.516 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.517 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.517 * [taylor]: Taking taylor expansion of +nan.0 in im
0.517 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.517 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.517 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.517 * [taylor]: Taking taylor expansion of 2.0 in im
0.517 * [backup-simplify]: Simplify 2.0 into 2.0
0.517 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.517 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.517 * [taylor]: Taking taylor expansion of im in im
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.518 * [backup-simplify]: Simplify (* 1 1) into 1
0.518 * [backup-simplify]: Simplify (* 1 1) into 1
0.518 * [backup-simplify]: Simplify (* 1 1) into 1
0.519 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.543 * [backup-simplify]: Simplify (- 0) into 0
0.543 * [backup-simplify]: Simplify (+ 0 0) into 0
0.543 * [backup-simplify]: Simplify (- 0) into 0
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 0 into 0
0.544 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.544 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.544 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.544 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.544 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.544 * [taylor]: Taking taylor expansion of re in im
0.544 * [backup-simplify]: Simplify re into re
0.544 * [taylor]: Taking taylor expansion of (pow im 2) 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
0.544 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.544 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.544 * [taylor]: Taking taylor expansion of re in re
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.544 * [taylor]: Taking taylor expansion of im in re
0.544 * [backup-simplify]: Simplify im into im
0.544 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.544 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.544 * [taylor]: Taking taylor expansion of re in re
0.544 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.545 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.545 * [taylor]: Taking taylor expansion of im in re
0.545 * [backup-simplify]: Simplify im into im
0.545 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.545 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.545 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.545 * [taylor]: Taking taylor expansion of im in im
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.545 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.546 * [backup-simplify]: Simplify (+ 0 0) into 0
0.546 * [taylor]: Taking taylor expansion of 0 in im
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify (* 1 1) into 1
0.547 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.547 * [backup-simplify]: Simplify (+ 1 0) into 1
0.547 * [taylor]: Taking taylor expansion of 1 in im
0.547 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.549 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.549 * [backup-simplify]: Simplify (+ 0 0) into 0
0.549 * [taylor]: Taking taylor expansion of 0 in im
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.552 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.553 * [taylor]: Taking taylor expansion of 0 in im
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.554 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.554 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.554 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.554 * [taylor]: Taking taylor expansion of im in im
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (* 1 1) into 1
0.555 * [backup-simplify]: Simplify (/ 1 1) into 1
0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.555 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.555 * [taylor]: Taking taylor expansion of re in im
0.555 * [backup-simplify]: Simplify re into re
0.555 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.555 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.555 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.555 * [taylor]: Taking taylor expansion of im in re
0.555 * [backup-simplify]: Simplify im into im
0.555 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.555 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.555 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.555 * [taylor]: Taking taylor expansion of re in re
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 1 into 1
0.556 * [backup-simplify]: Simplify (* 1 1) into 1
0.556 * [backup-simplify]: Simplify (/ 1 1) into 1
0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.556 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.556 * [taylor]: Taking taylor expansion of im in re
0.556 * [backup-simplify]: Simplify im into im
0.556 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.557 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.557 * [taylor]: Taking taylor expansion of re in re
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.557 * [backup-simplify]: Simplify (* 1 1) into 1
0.558 * [backup-simplify]: Simplify (/ 1 1) into 1
0.558 * [backup-simplify]: Simplify (+ 0 1) into 1
0.558 * [taylor]: Taking taylor expansion of 1 in im
0.558 * [backup-simplify]: Simplify 1 into 1
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ 0 0) into 0
0.560 * [taylor]: Taking taylor expansion of 0 in im
0.560 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.562 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.562 * [taylor]: Taking taylor expansion of im in im
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.562 * [backup-simplify]: Simplify (* 1 1) into 1
0.563 * [backup-simplify]: Simplify (/ 1 1) into 1
0.563 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (+ 0 0) into 0
0.566 * [taylor]: Taking taylor expansion of 0 in im
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (+ 0 0) into 0
0.570 * [taylor]: Taking taylor expansion of 0 in im
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.571 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.571 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.571 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.572 * [taylor]: Taking taylor expansion of im in im
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (* 1 1) into 1
0.572 * [backup-simplify]: Simplify (/ 1 1) into 1
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.572 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.572 * [taylor]: Taking taylor expansion of re in im
0.572 * [backup-simplify]: Simplify re into re
0.572 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.572 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.572 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.572 * [taylor]: Taking taylor expansion of im in re
0.572 * [backup-simplify]: Simplify im into im
0.572 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.572 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.573 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.573 * [taylor]: Taking taylor expansion of re in re
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 1 into 1
0.573 * [backup-simplify]: Simplify (* 1 1) into 1
0.573 * [backup-simplify]: Simplify (/ 1 1) into 1
0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.573 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.573 * [taylor]: Taking taylor expansion of im in re
0.573 * [backup-simplify]: Simplify im into im
0.573 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.573 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.573 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.573 * [taylor]: Taking taylor expansion of re in re
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (* 1 1) into 1
0.574 * [backup-simplify]: Simplify (/ 1 1) into 1
0.577 * [backup-simplify]: Simplify (+ 0 1) into 1
0.577 * [taylor]: Taking taylor expansion of 1 in im
0.577 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (+ 0 0) into 0
0.578 * [taylor]: Taking taylor expansion of 0 in im
0.578 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.580 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.580 * [taylor]: Taking taylor expansion of im in im
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 1 into 1
0.580 * [backup-simplify]: Simplify (* 1 1) into 1
0.580 * [backup-simplify]: Simplify (/ 1 1) into 1
0.580 * [backup-simplify]: Simplify 1 into 1
0.580 * [backup-simplify]: Simplify 1 into 1
0.580 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (+ 0 0) into 0
0.582 * [taylor]: Taking taylor expansion of 0 in im
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (+ 0 0) into 0
0.585 * [taylor]: Taking taylor expansion of 0 in im
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.587 * * * [progress]: simplifying candidates
0.587 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
0.589 * * [simplify]: Extracting # 0 : cost  0
0.589 * * [simplify]: Extracting # 1 : cost  0
0.589 * * [simplify]: Extracting # 2 : cost  0
0.589 * * [simplify]: Extracting # 3 : cost  0
0.589 * * [simplify]: Extracting # 4 : cost  0
0.589 * * [simplify]: Extracting # 5 : cost  0
0.589 * * [simplify]: Extracting # 6 : cost  0
0.589 * * [simplify]: Extracting # 7 : cost  0
0.590 * * [simplify]: Extracting # 8 : cost  0
0.590 * * [simplify]: Extracting # 9 : cost  0
0.590 * * [simplify]: Extracting # 10 : cost  0
0.590 * * [simplify]: Extracting # 11 : cost  0
0.590 * * [simplify]: iteration  0 :  108  enodes  (cost  888 )
0.622 * * [simplify]: Extracting # 0 : cost  0
0.622 * * [simplify]: Extracting # 1 : cost  0
0.623 * * [simplify]: Extracting # 2 : cost  0
0.623 * * [simplify]: Extracting # 3 : cost  0
0.623 * * [simplify]: Extracting # 4 : cost  0
0.623 * * [simplify]: iteration  1 :  271  enodes  (cost  774 )
0.737 * * [simplify]: Extracting # 0 : cost  0
0.739 * * [simplify]: Extracting # 1 : cost  0
0.740 * * [simplify]: Extracting # 2 : cost  0
0.742 * * [simplify]: Extracting # 3 : cost  0
0.749 * * [simplify]: Extracting # 4 : cost  0
0.750 * * [simplify]: iteration  2 :  755  enodes  (cost  698 )
1.229 * * [simplify]: Extracting # 0 : cost  0
1.234 * * [simplify]: Extracting # 1 : cost  0
1.238 * * [simplify]: Extracting # 2 : cost  0
1.242 * * [simplify]: Extracting # 3 : cost  0
1.253 * * [simplify]: Extracting # 4 : cost  0
1.256 * * [simplify]: iteration  3 :  2070  enodes  (cost  673 )
2.720 * * [simplify]: Extracting # 0 : cost  0
2.731 * * [simplify]: Extracting # 1 : cost  0
2.742 * * [simplify]: Extracting # 2 : cost  0
2.752 * * [simplify]: Extracting # 3 : cost  0
2.757 * * [simplify]: Extracting # 4 : cost  0
2.762 * * [simplify]: iteration done:  5000  enodes  (cost  668 )
2.763 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im)))
  (sqrt (* (* im im) 2.0))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (+ (* re re) (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (pow (+ (* re re) (* im im)) 3)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow im 6) (pow re 6))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (- (* re re) (* im im))
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  (* (* +nan.0 (sqrt 2.0)) (- (- im re) (* re re)))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
  0
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
2.763 * * * [progress]: adding candidates to table
3.019 * * [progress]: iteration 2 / 4
3.019 * * * [progress]: picking best candidate
3.054 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.054 * * * [progress]: localizing error
3.071 * * * [progress]: generating rewritten candidates
3.071 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
3.079 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
3.093 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
3.135 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
3.233 * * * [progress]: generating series expansions
3.233 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
3.233 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.233 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.233 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.233 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.233 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.233 * [taylor]: Taking taylor expansion of re in im
3.234 * [backup-simplify]: Simplify re into re
3.234 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.234 * [taylor]: Taking taylor expansion of im in im
3.234 * [backup-simplify]: Simplify 0 into 0
3.234 * [backup-simplify]: Simplify 1 into 1
3.234 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.234 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.234 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.234 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.234 * [backup-simplify]: Simplify (+ 0 0) into 0
3.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.235 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.235 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.235 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.235 * [taylor]: Taking taylor expansion of re in re
3.235 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify 1 into 1
3.235 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.235 * [taylor]: Taking taylor expansion of im in re
3.235 * [backup-simplify]: Simplify im into im
3.235 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.235 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.235 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.235 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.235 * [backup-simplify]: Simplify (+ 0 0) into 0
3.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.235 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.235 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.235 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.236 * [taylor]: Taking taylor expansion of re in re
3.236 * [backup-simplify]: Simplify 0 into 0
3.236 * [backup-simplify]: Simplify 1 into 1
3.236 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.236 * [taylor]: Taking taylor expansion of im in re
3.236 * [backup-simplify]: Simplify im into im
3.236 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.236 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.236 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.236 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.236 * [backup-simplify]: Simplify (+ 0 0) into 0
3.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.236 * [taylor]: Taking taylor expansion of im in im
3.236 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 1 into 1
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [taylor]: Taking taylor expansion of 0 in im
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 1 into 1
3.237 * [backup-simplify]: Simplify (* 1 1) into 1
3.237 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.238 * [backup-simplify]: Simplify (+ 1 0) into 1
3.238 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.238 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.238 * [taylor]: Taking taylor expansion of 1/2 in im
3.238 * [backup-simplify]: Simplify 1/2 into 1/2
3.238 * [taylor]: Taking taylor expansion of im in im
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 1 into 1
3.238 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.240 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.240 * [backup-simplify]: Simplify (+ 0 0) into 0
3.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.240 * [taylor]: Taking taylor expansion of 0 in im
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.241 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.241 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.241 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.241 * [taylor]: Taking taylor expansion of im in im
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify 1 into 1
3.242 * [backup-simplify]: Simplify (* 1 1) into 1
3.242 * [backup-simplify]: Simplify (/ 1 1) into 1
3.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.242 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.242 * [taylor]: Taking taylor expansion of re in im
3.242 * [backup-simplify]: Simplify re into re
3.242 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.242 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.242 * [backup-simplify]: Simplify (+ 1 0) into 1
3.243 * [backup-simplify]: Simplify (sqrt 1) into 1
3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.244 * [backup-simplify]: Simplify (+ 0 0) into 0
3.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.244 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.244 * [taylor]: Taking taylor expansion of im in re
3.244 * [backup-simplify]: Simplify im into im
3.244 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.245 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.245 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.245 * [taylor]: Taking taylor expansion of re in re
3.245 * [backup-simplify]: Simplify 0 into 0
3.245 * [backup-simplify]: Simplify 1 into 1
3.245 * [backup-simplify]: Simplify (* 1 1) into 1
3.245 * [backup-simplify]: Simplify (/ 1 1) into 1
3.245 * [backup-simplify]: Simplify (+ 0 1) into 1
3.246 * [backup-simplify]: Simplify (sqrt 1) into 1
3.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.247 * [backup-simplify]: Simplify (+ 0 0) into 0
3.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.247 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.247 * [taylor]: Taking taylor expansion of im in re
3.247 * [backup-simplify]: Simplify im into im
3.247 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.247 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.247 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.247 * [taylor]: Taking taylor expansion of re in re
3.247 * [backup-simplify]: Simplify 0 into 0
3.248 * [backup-simplify]: Simplify 1 into 1
3.248 * [backup-simplify]: Simplify (* 1 1) into 1
3.248 * [backup-simplify]: Simplify (/ 1 1) into 1
3.248 * [backup-simplify]: Simplify (+ 0 1) into 1
3.248 * [backup-simplify]: Simplify (sqrt 1) into 1
3.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.250 * [backup-simplify]: Simplify (+ 0 0) into 0
3.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.250 * [taylor]: Taking taylor expansion of 1 in im
3.250 * [backup-simplify]: Simplify 1 into 1
3.250 * [taylor]: Taking taylor expansion of 0 in im
3.250 * [backup-simplify]: Simplify 0 into 0
3.250 * [backup-simplify]: Simplify 1 into 1
3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.251 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.252 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.252 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.252 * [taylor]: Taking taylor expansion of 1/2 in im
3.252 * [backup-simplify]: Simplify 1/2 into 1/2
3.252 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.252 * [taylor]: Taking taylor expansion of im in im
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 1 into 1
3.253 * [backup-simplify]: Simplify (* 1 1) into 1
3.253 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.256 * [backup-simplify]: Simplify (+ 0 0) into 0
3.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.256 * [taylor]: Taking taylor expansion of 0 in im
3.256 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.257 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.257 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.258 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.258 * [taylor]: Taking taylor expansion of im in im
3.258 * [backup-simplify]: Simplify 0 into 0
3.258 * [backup-simplify]: Simplify 1 into 1
3.258 * [backup-simplify]: Simplify (* 1 1) into 1
3.258 * [backup-simplify]: Simplify (/ 1 1) into 1
3.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.258 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.258 * [taylor]: Taking taylor expansion of re in im
3.258 * [backup-simplify]: Simplify re into re
3.258 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.258 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.259 * [backup-simplify]: Simplify (+ 1 0) into 1
3.259 * [backup-simplify]: Simplify (sqrt 1) into 1
3.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.260 * [backup-simplify]: Simplify (+ 0 0) into 0
3.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.260 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.260 * [taylor]: Taking taylor expansion of im in re
3.260 * [backup-simplify]: Simplify im into im
3.261 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.261 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.261 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.261 * [taylor]: Taking taylor expansion of re in re
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 1 into 1
3.261 * [backup-simplify]: Simplify (* 1 1) into 1
3.262 * [backup-simplify]: Simplify (/ 1 1) into 1
3.262 * [backup-simplify]: Simplify (+ 0 1) into 1
3.263 * [backup-simplify]: Simplify (sqrt 1) into 1
3.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.265 * [backup-simplify]: Simplify (+ 0 0) into 0
3.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.266 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.266 * [taylor]: Taking taylor expansion of im in re
3.266 * [backup-simplify]: Simplify im into im
3.266 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.266 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.267 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.267 * [taylor]: Taking taylor expansion of re in re
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify 1 into 1
3.267 * [backup-simplify]: Simplify (* 1 1) into 1
3.267 * [backup-simplify]: Simplify (/ 1 1) into 1
3.268 * [backup-simplify]: Simplify (+ 0 1) into 1
3.268 * [backup-simplify]: Simplify (sqrt 1) into 1
3.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.270 * [backup-simplify]: Simplify (+ 0 0) into 0
3.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.271 * [taylor]: Taking taylor expansion of 1 in im
3.271 * [backup-simplify]: Simplify 1 into 1
3.271 * [taylor]: Taking taylor expansion of 0 in im
3.271 * [backup-simplify]: Simplify 0 into 0
3.271 * [backup-simplify]: Simplify 1 into 1
3.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.273 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.275 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.275 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.275 * [taylor]: Taking taylor expansion of 1/2 in im
3.275 * [backup-simplify]: Simplify 1/2 into 1/2
3.275 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.275 * [taylor]: Taking taylor expansion of im in im
3.275 * [backup-simplify]: Simplify 0 into 0
3.275 * [backup-simplify]: Simplify 1 into 1
3.276 * [backup-simplify]: Simplify (* 1 1) into 1
3.276 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.281 * [backup-simplify]: Simplify (+ 0 0) into 0
3.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.281 * [taylor]: Taking taylor expansion of 0 in im
3.281 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.283 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.284 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
3.284 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.284 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.284 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.284 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.284 * [taylor]: Taking taylor expansion of re in im
3.284 * [backup-simplify]: Simplify re into re
3.284 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.284 * [taylor]: Taking taylor expansion of im in im
3.284 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify 1 into 1
3.285 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.285 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.285 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.285 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.285 * [backup-simplify]: Simplify (+ 0 0) into 0
3.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.286 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.286 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.286 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.286 * [taylor]: Taking taylor expansion of re in re
3.286 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify 1 into 1
3.286 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.286 * [taylor]: Taking taylor expansion of im in re
3.286 * [backup-simplify]: Simplify im into im
3.286 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.286 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.286 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.286 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.287 * [backup-simplify]: Simplify (+ 0 0) into 0
3.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.287 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.287 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.287 * [taylor]: Taking taylor expansion of re in re
3.287 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify 1 into 1
3.287 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.287 * [taylor]: Taking taylor expansion of im in re
3.287 * [backup-simplify]: Simplify im into im
3.287 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.288 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.288 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.288 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.288 * [backup-simplify]: Simplify (+ 0 0) into 0
3.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.288 * [taylor]: Taking taylor expansion of im in im
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 1 into 1
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [taylor]: Taking taylor expansion of 0 in im
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 1 into 1
3.289 * [backup-simplify]: Simplify (* 1 1) into 1
3.290 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.290 * [backup-simplify]: Simplify (+ 1 0) into 1
3.291 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.291 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.291 * [taylor]: Taking taylor expansion of 1/2 in im
3.291 * [backup-simplify]: Simplify 1/2 into 1/2
3.291 * [taylor]: Taking taylor expansion of im in im
3.291 * [backup-simplify]: Simplify 0 into 0
3.291 * [backup-simplify]: Simplify 1 into 1
3.292 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.294 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.295 * [backup-simplify]: Simplify (+ 0 0) into 0
3.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.295 * [taylor]: Taking taylor expansion of 0 in im
3.295 * [backup-simplify]: Simplify 0 into 0
3.295 * [backup-simplify]: Simplify 0 into 0
3.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.296 * [backup-simplify]: Simplify 0 into 0
3.296 * [backup-simplify]: Simplify 0 into 0
3.296 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.297 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.297 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.297 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.297 * [taylor]: Taking taylor expansion of im in im
3.297 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify 1 into 1
3.297 * [backup-simplify]: Simplify (* 1 1) into 1
3.298 * [backup-simplify]: Simplify (/ 1 1) into 1
3.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.298 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.298 * [taylor]: Taking taylor expansion of re in im
3.298 * [backup-simplify]: Simplify re into re
3.298 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.298 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.299 * [backup-simplify]: Simplify (+ 1 0) into 1
3.299 * [backup-simplify]: Simplify (sqrt 1) into 1
3.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.301 * [backup-simplify]: Simplify (+ 0 0) into 0
3.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.302 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.302 * [taylor]: Taking taylor expansion of im in re
3.302 * [backup-simplify]: Simplify im into im
3.302 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.302 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.302 * [taylor]: Taking taylor expansion of re in re
3.302 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify 1 into 1
3.303 * [backup-simplify]: Simplify (* 1 1) into 1
3.303 * [backup-simplify]: Simplify (/ 1 1) into 1
3.304 * [backup-simplify]: Simplify (+ 0 1) into 1
3.304 * [backup-simplify]: Simplify (sqrt 1) into 1
3.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.306 * [backup-simplify]: Simplify (+ 0 0) into 0
3.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.307 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.307 * [taylor]: Taking taylor expansion of im in re
3.307 * [backup-simplify]: Simplify im into im
3.307 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.307 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.307 * [taylor]: Taking taylor expansion of re in re
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.308 * [backup-simplify]: Simplify (* 1 1) into 1
3.308 * [backup-simplify]: Simplify (/ 1 1) into 1
3.309 * [backup-simplify]: Simplify (+ 0 1) into 1
3.309 * [backup-simplify]: Simplify (sqrt 1) into 1
3.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.311 * [backup-simplify]: Simplify (+ 0 0) into 0
3.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.312 * [taylor]: Taking taylor expansion of 1 in im
3.312 * [backup-simplify]: Simplify 1 into 1
3.312 * [taylor]: Taking taylor expansion of 0 in im
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [backup-simplify]: Simplify 1 into 1
3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.314 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.315 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.315 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.315 * [taylor]: Taking taylor expansion of 1/2 in im
3.315 * [backup-simplify]: Simplify 1/2 into 1/2
3.316 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.316 * [taylor]: Taking taylor expansion of im in im
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 1 into 1
3.316 * [backup-simplify]: Simplify (* 1 1) into 1
3.316 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.318 * [backup-simplify]: Simplify 0 into 0
3.318 * [backup-simplify]: Simplify 0 into 0
3.318 * [backup-simplify]: Simplify 0 into 0
3.318 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.321 * [backup-simplify]: Simplify (+ 0 0) into 0
3.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.322 * [taylor]: Taking taylor expansion of 0 in im
3.322 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.325 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.325 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.325 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.325 * [taylor]: Taking taylor expansion of im in im
3.325 * [backup-simplify]: Simplify 0 into 0
3.325 * [backup-simplify]: Simplify 1 into 1
3.325 * [backup-simplify]: Simplify (* 1 1) into 1
3.326 * [backup-simplify]: Simplify (/ 1 1) into 1
3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.326 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.326 * [taylor]: Taking taylor expansion of re in im
3.326 * [backup-simplify]: Simplify re into re
3.326 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.326 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.327 * [backup-simplify]: Simplify (+ 1 0) into 1
3.327 * [backup-simplify]: Simplify (sqrt 1) into 1
3.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.329 * [backup-simplify]: Simplify (+ 0 0) into 0
3.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.330 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.330 * [taylor]: Taking taylor expansion of im in re
3.330 * [backup-simplify]: Simplify im into im
3.330 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.330 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.330 * [taylor]: Taking taylor expansion of re in re
3.330 * [backup-simplify]: Simplify 0 into 0
3.330 * [backup-simplify]: Simplify 1 into 1
3.331 * [backup-simplify]: Simplify (* 1 1) into 1
3.331 * [backup-simplify]: Simplify (/ 1 1) into 1
3.331 * [backup-simplify]: Simplify (+ 0 1) into 1
3.332 * [backup-simplify]: Simplify (sqrt 1) into 1
3.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.334 * [backup-simplify]: Simplify (+ 0 0) into 0
3.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.335 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.335 * [taylor]: Taking taylor expansion of im in re
3.335 * [backup-simplify]: Simplify im into im
3.335 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.335 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.335 * [taylor]: Taking taylor expansion of re in re
3.335 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify 1 into 1
3.336 * [backup-simplify]: Simplify (* 1 1) into 1
3.336 * [backup-simplify]: Simplify (/ 1 1) into 1
3.336 * [backup-simplify]: Simplify (+ 0 1) into 1
3.337 * [backup-simplify]: Simplify (sqrt 1) into 1
3.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.338 * [backup-simplify]: Simplify (+ 0 0) into 0
3.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.339 * [taylor]: Taking taylor expansion of 1 in im
3.339 * [backup-simplify]: Simplify 1 into 1
3.339 * [taylor]: Taking taylor expansion of 0 in im
3.339 * [backup-simplify]: Simplify 0 into 0
3.340 * [backup-simplify]: Simplify 1 into 1
3.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.342 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.343 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.343 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.343 * [taylor]: Taking taylor expansion of 1/2 in im
3.343 * [backup-simplify]: Simplify 1/2 into 1/2
3.343 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.343 * [taylor]: Taking taylor expansion of im in im
3.343 * [backup-simplify]: Simplify 0 into 0
3.343 * [backup-simplify]: Simplify 1 into 1
3.344 * [backup-simplify]: Simplify (* 1 1) into 1
3.344 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.346 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.349 * [backup-simplify]: Simplify (+ 0 0) into 0
3.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.349 * [taylor]: Taking taylor expansion of 0 in im
3.349 * [backup-simplify]: Simplify 0 into 0
3.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.352 * [backup-simplify]: Simplify 0 into 0
3.352 * [backup-simplify]: Simplify 0 into 0
3.352 * [backup-simplify]: Simplify 0 into 0
3.352 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.352 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
3.352 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
3.353 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
3.353 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
3.353 * [taylor]: Taking taylor expansion of re in im
3.353 * [backup-simplify]: Simplify re into re
3.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.353 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.353 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.353 * [taylor]: Taking taylor expansion of re in im
3.353 * [backup-simplify]: Simplify re into re
3.353 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.353 * [taylor]: Taking taylor expansion of im in im
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 1 into 1
3.353 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.353 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.353 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.353 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.354 * [backup-simplify]: Simplify (+ 0 0) into 0
3.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.354 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.354 * [taylor]: Taking taylor expansion of re in re
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.354 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.354 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.354 * [taylor]: Taking taylor expansion of re in re
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.354 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.354 * [taylor]: Taking taylor expansion of im in re
3.355 * [backup-simplify]: Simplify im into im
3.355 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.355 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.355 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.355 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.355 * [backup-simplify]: Simplify (+ 0 0) into 0
3.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.356 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.356 * [taylor]: Taking taylor expansion of re in re
3.356 * [backup-simplify]: Simplify 0 into 0
3.356 * [backup-simplify]: Simplify 1 into 1
3.356 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.356 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.356 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.356 * [taylor]: Taking taylor expansion of re in re
3.356 * [backup-simplify]: Simplify 0 into 0
3.356 * [backup-simplify]: Simplify 1 into 1
3.356 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.356 * [taylor]: Taking taylor expansion of im in re
3.356 * [backup-simplify]: Simplify im into im
3.356 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.356 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.356 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.357 * [backup-simplify]: Simplify (+ 0 0) into 0
3.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.357 * [backup-simplify]: Simplify (+ 0 im) into im
3.357 * [taylor]: Taking taylor expansion of im in im
3.357 * [backup-simplify]: Simplify 0 into 0
3.357 * [backup-simplify]: Simplify 1 into 1
3.357 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify (+ 1 0) into 1
3.358 * [taylor]: Taking taylor expansion of 1 in im
3.358 * [backup-simplify]: Simplify 1 into 1
3.358 * [backup-simplify]: Simplify 1 into 1
3.358 * [backup-simplify]: Simplify 1 into 1
3.358 * [backup-simplify]: Simplify (* 1 1) into 1
3.359 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.359 * [backup-simplify]: Simplify (+ 1 0) into 1
3.360 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.360 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.360 * [taylor]: Taking taylor expansion of 1/2 in im
3.360 * [backup-simplify]: Simplify 1/2 into 1/2
3.360 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.360 * [taylor]: Taking taylor expansion of im in im
3.360 * [backup-simplify]: Simplify 0 into 0
3.360 * [backup-simplify]: Simplify 1 into 1
3.361 * [backup-simplify]: Simplify (/ 1 1) into 1
3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.362 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.363 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.363 * [backup-simplify]: Simplify (+ 0 0) into 0
3.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.363 * [backup-simplify]: Simplify (+ 0 0) into 0
3.363 * [taylor]: Taking taylor expansion of 0 in im
3.364 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.365 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
3.365 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.365 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.365 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.365 * [taylor]: Taking taylor expansion of re in im
3.365 * [backup-simplify]: Simplify re into re
3.365 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.365 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.365 * [taylor]: Taking taylor expansion of im in im
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 1 into 1
3.366 * [backup-simplify]: Simplify (* 1 1) into 1
3.366 * [backup-simplify]: Simplify (/ 1 1) into 1
3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.366 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.366 * [taylor]: Taking taylor expansion of re in im
3.366 * [backup-simplify]: Simplify re into re
3.366 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.366 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.366 * [backup-simplify]: Simplify (+ 1 0) into 1
3.370 * [backup-simplify]: Simplify (sqrt 1) into 1
3.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.371 * [backup-simplify]: Simplify (+ 0 0) into 0
3.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.371 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.371 * [taylor]: Taking taylor expansion of re in re
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify 1 into 1
3.372 * [backup-simplify]: Simplify (/ 1 1) into 1
3.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.372 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.372 * [taylor]: Taking taylor expansion of im in re
3.372 * [backup-simplify]: Simplify im into im
3.372 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.372 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.372 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.372 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.372 * [taylor]: Taking taylor expansion of re in re
3.372 * [backup-simplify]: Simplify 0 into 0
3.372 * [backup-simplify]: Simplify 1 into 1
3.372 * [backup-simplify]: Simplify (* 1 1) into 1
3.373 * [backup-simplify]: Simplify (/ 1 1) into 1
3.373 * [backup-simplify]: Simplify (+ 0 1) into 1
3.373 * [backup-simplify]: Simplify (sqrt 1) into 1
3.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.374 * [backup-simplify]: Simplify (+ 0 0) into 0
3.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.375 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.375 * [taylor]: Taking taylor expansion of re in re
3.375 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify 1 into 1
3.375 * [backup-simplify]: Simplify (/ 1 1) into 1
3.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.375 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.375 * [taylor]: Taking taylor expansion of im in re
3.375 * [backup-simplify]: Simplify im into im
3.375 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.375 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.375 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.375 * [taylor]: Taking taylor expansion of re in re
3.375 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify 1 into 1
3.376 * [backup-simplify]: Simplify (* 1 1) into 1
3.376 * [backup-simplify]: Simplify (/ 1 1) into 1
3.376 * [backup-simplify]: Simplify (+ 0 1) into 1
3.376 * [backup-simplify]: Simplify (sqrt 1) into 1
3.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.378 * [backup-simplify]: Simplify (+ 0 0) into 0
3.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.378 * [backup-simplify]: Simplify (+ 1 1) into 2
3.378 * [taylor]: Taking taylor expansion of 2 in im
3.378 * [backup-simplify]: Simplify 2 into 2
3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.379 * [backup-simplify]: Simplify (+ 0 0) into 0
3.379 * [taylor]: Taking taylor expansion of 0 in im
3.379 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify 2 into 2
3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.381 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.382 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.382 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.382 * [taylor]: Taking taylor expansion of 1/2 in im
3.382 * [backup-simplify]: Simplify 1/2 into 1/2
3.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.382 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.382 * [taylor]: Taking taylor expansion of im in im
3.382 * [backup-simplify]: Simplify 0 into 0
3.382 * [backup-simplify]: Simplify 1 into 1
3.382 * [backup-simplify]: Simplify (* 1 1) into 1
3.382 * [backup-simplify]: Simplify (/ 1 1) into 1
3.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.383 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify 0 into 0
3.384 * [backup-simplify]: Simplify 0 into 0
3.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.384 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.386 * [backup-simplify]: Simplify (+ 0 0) into 0
3.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.386 * [backup-simplify]: Simplify (+ 0 0) into 0
3.386 * [taylor]: Taking taylor expansion of 0 in im
3.386 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.388 * [backup-simplify]: Simplify 0 into 0
3.388 * [backup-simplify]: Simplify 0 into 0
3.388 * [backup-simplify]: Simplify 0 into 0
3.388 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.389 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
3.389 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.389 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.389 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.389 * [taylor]: Taking taylor expansion of im in im
3.389 * [backup-simplify]: Simplify 0 into 0
3.389 * [backup-simplify]: Simplify 1 into 1
3.389 * [backup-simplify]: Simplify (* 1 1) into 1
3.390 * [backup-simplify]: Simplify (/ 1 1) into 1
3.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.390 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.390 * [taylor]: Taking taylor expansion of re in im
3.390 * [backup-simplify]: Simplify re into re
3.390 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.390 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.390 * [backup-simplify]: Simplify (+ 1 0) into 1
3.391 * [backup-simplify]: Simplify (sqrt 1) into 1
3.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.393 * [backup-simplify]: Simplify (+ 0 0) into 0
3.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.393 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.393 * [taylor]: Taking taylor expansion of re in im
3.393 * [backup-simplify]: Simplify re into re
3.393 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.394 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.394 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.394 * [taylor]: Taking taylor expansion of im in re
3.394 * [backup-simplify]: Simplify im into im
3.394 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.394 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.394 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.394 * [taylor]: Taking taylor expansion of re in re
3.394 * [backup-simplify]: Simplify 0 into 0
3.394 * [backup-simplify]: Simplify 1 into 1
3.395 * [backup-simplify]: Simplify (* 1 1) into 1
3.395 * [backup-simplify]: Simplify (/ 1 1) into 1
3.395 * [backup-simplify]: Simplify (+ 0 1) into 1
3.396 * [backup-simplify]: Simplify (sqrt 1) into 1
3.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.397 * [backup-simplify]: Simplify (+ 0 0) into 0
3.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.398 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.398 * [taylor]: Taking taylor expansion of re in re
3.398 * [backup-simplify]: Simplify 0 into 0
3.398 * [backup-simplify]: Simplify 1 into 1
3.399 * [backup-simplify]: Simplify (/ 1 1) into 1
3.399 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.399 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.399 * [taylor]: Taking taylor expansion of im in re
3.399 * [backup-simplify]: Simplify im into im
3.399 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.399 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.399 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.399 * [taylor]: Taking taylor expansion of re in re
3.399 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify 1 into 1
3.400 * [backup-simplify]: Simplify (* 1 1) into 1
3.400 * [backup-simplify]: Simplify (/ 1 1) into 1
3.400 * [backup-simplify]: Simplify (+ 0 1) into 1
3.401 * [backup-simplify]: Simplify (sqrt 1) into 1
3.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.403 * [backup-simplify]: Simplify (+ 0 0) into 0
3.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.403 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.403 * [taylor]: Taking taylor expansion of re in re
3.403 * [backup-simplify]: Simplify 0 into 0
3.403 * [backup-simplify]: Simplify 1 into 1
3.404 * [backup-simplify]: Simplify (/ 1 1) into 1
3.404 * [backup-simplify]: Simplify (- 1) into -1
3.405 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.405 * [taylor]: Taking taylor expansion of 0 in im
3.405 * [backup-simplify]: Simplify 0 into 0
3.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.405 * [backup-simplify]: Simplify (- 0) into 0
3.406 * [backup-simplify]: Simplify (+ 0 0) into 0
3.406 * [taylor]: Taking taylor expansion of 0 in im
3.406 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.407 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.408 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.408 * [backup-simplify]: Simplify (- 0) into 0
3.408 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.408 * [taylor]: Taking taylor expansion of 1/2 in im
3.409 * [backup-simplify]: Simplify 1/2 into 1/2
3.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.409 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.409 * [taylor]: Taking taylor expansion of im in im
3.409 * [backup-simplify]: Simplify 0 into 0
3.409 * [backup-simplify]: Simplify 1 into 1
3.409 * [backup-simplify]: Simplify (* 1 1) into 1
3.409 * [backup-simplify]: Simplify (/ 1 1) into 1
3.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.412 * [backup-simplify]: Simplify (+ 0 0) into 0
3.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.413 * [backup-simplify]: Simplify (- 0) into 0
3.413 * [backup-simplify]: Simplify (+ 0 0) into 0
3.413 * [taylor]: Taking taylor expansion of 0 in im
3.413 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.415 * [backup-simplify]: Simplify 0 into 0
3.415 * [backup-simplify]: Simplify 0 into 0
3.415 * [backup-simplify]: Simplify 0 into 0
3.415 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
3.415 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
3.415 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.415 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.415 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.415 * [taylor]: Taking taylor expansion of re in im
3.416 * [backup-simplify]: Simplify re into re
3.416 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.416 * [taylor]: Taking taylor expansion of im in im
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 1 into 1
3.416 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.416 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.416 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.416 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.416 * [backup-simplify]: Simplify (+ 0 0) into 0
3.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.416 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.416 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.416 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.416 * [taylor]: Taking taylor expansion of re in re
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 1 into 1
3.416 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.416 * [taylor]: Taking taylor expansion of im in re
3.416 * [backup-simplify]: Simplify im into im
3.416 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.417 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.417 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.417 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.417 * [backup-simplify]: Simplify (+ 0 0) into 0
3.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.417 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.417 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.417 * [taylor]: Taking taylor expansion of re in re
3.417 * [backup-simplify]: Simplify 0 into 0
3.417 * [backup-simplify]: Simplify 1 into 1
3.417 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.417 * [taylor]: Taking taylor expansion of im in re
3.417 * [backup-simplify]: Simplify im into im
3.417 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.417 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.417 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.417 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.418 * [backup-simplify]: Simplify (+ 0 0) into 0
3.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.418 * [taylor]: Taking taylor expansion of im in im
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 1 into 1
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [taylor]: Taking taylor expansion of 0 in im
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 1 into 1
3.418 * [backup-simplify]: Simplify (* 1 1) into 1
3.418 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.419 * [backup-simplify]: Simplify (+ 1 0) into 1
3.419 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.419 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.419 * [taylor]: Taking taylor expansion of 1/2 in im
3.419 * [backup-simplify]: Simplify 1/2 into 1/2
3.419 * [taylor]: Taking taylor expansion of im in im
3.419 * [backup-simplify]: Simplify 0 into 0
3.419 * [backup-simplify]: Simplify 1 into 1
3.420 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.420 * [backup-simplify]: Simplify 0 into 0
3.420 * [backup-simplify]: Simplify 0 into 0
3.420 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.421 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.421 * [backup-simplify]: Simplify (+ 0 0) into 0
3.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.421 * [taylor]: Taking taylor expansion of 0 in im
3.421 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.422 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.422 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.422 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.423 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.423 * [taylor]: Taking taylor expansion of im in im
3.423 * [backup-simplify]: Simplify 0 into 0
3.423 * [backup-simplify]: Simplify 1 into 1
3.423 * [backup-simplify]: Simplify (* 1 1) into 1
3.423 * [backup-simplify]: Simplify (/ 1 1) into 1
3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.423 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.423 * [taylor]: Taking taylor expansion of re in im
3.423 * [backup-simplify]: Simplify re into re
3.423 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.423 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.424 * [backup-simplify]: Simplify (+ 1 0) into 1
3.424 * [backup-simplify]: Simplify (sqrt 1) into 1
3.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.425 * [backup-simplify]: Simplify (+ 0 0) into 0
3.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.425 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.425 * [taylor]: Taking taylor expansion of im in re
3.425 * [backup-simplify]: Simplify im into im
3.425 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.426 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.426 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.426 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.426 * [taylor]: Taking taylor expansion of re in re
3.426 * [backup-simplify]: Simplify 0 into 0
3.426 * [backup-simplify]: Simplify 1 into 1
3.426 * [backup-simplify]: Simplify (* 1 1) into 1
3.426 * [backup-simplify]: Simplify (/ 1 1) into 1
3.426 * [backup-simplify]: Simplify (+ 0 1) into 1
3.427 * [backup-simplify]: Simplify (sqrt 1) into 1
3.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.428 * [backup-simplify]: Simplify (+ 0 0) into 0
3.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.428 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.428 * [taylor]: Taking taylor expansion of im in re
3.428 * [backup-simplify]: Simplify im into im
3.428 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.429 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.429 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.429 * [taylor]: Taking taylor expansion of re in re
3.429 * [backup-simplify]: Simplify 0 into 0
3.429 * [backup-simplify]: Simplify 1 into 1
3.429 * [backup-simplify]: Simplify (* 1 1) into 1
3.429 * [backup-simplify]: Simplify (/ 1 1) into 1
3.430 * [backup-simplify]: Simplify (+ 0 1) into 1
3.430 * [backup-simplify]: Simplify (sqrt 1) into 1
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.431 * [backup-simplify]: Simplify (+ 0 0) into 0
3.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.431 * [taylor]: Taking taylor expansion of 1 in im
3.431 * [backup-simplify]: Simplify 1 into 1
3.431 * [taylor]: Taking taylor expansion of 0 in im
3.431 * [backup-simplify]: Simplify 0 into 0
3.431 * [backup-simplify]: Simplify 1 into 1
3.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.433 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.433 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.433 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.433 * [taylor]: Taking taylor expansion of 1/2 in im
3.434 * [backup-simplify]: Simplify 1/2 into 1/2
3.434 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.434 * [taylor]: Taking taylor expansion of im in im
3.434 * [backup-simplify]: Simplify 0 into 0
3.434 * [backup-simplify]: Simplify 1 into 1
3.434 * [backup-simplify]: Simplify (* 1 1) into 1
3.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.435 * [backup-simplify]: Simplify 0 into 0
3.435 * [backup-simplify]: Simplify 0 into 0
3.435 * [backup-simplify]: Simplify 0 into 0
3.435 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.437 * [backup-simplify]: Simplify (+ 0 0) into 0
3.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.437 * [taylor]: Taking taylor expansion of 0 in im
3.437 * [backup-simplify]: Simplify 0 into 0
3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.438 * [backup-simplify]: Simplify 0 into 0
3.438 * [backup-simplify]: Simplify 0 into 0
3.438 * [backup-simplify]: Simplify 0 into 0
3.438 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.439 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.439 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.439 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.439 * [taylor]: Taking taylor expansion of im in im
3.439 * [backup-simplify]: Simplify 0 into 0
3.439 * [backup-simplify]: Simplify 1 into 1
3.439 * [backup-simplify]: Simplify (* 1 1) into 1
3.439 * [backup-simplify]: Simplify (/ 1 1) into 1
3.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.439 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.439 * [taylor]: Taking taylor expansion of re in im
3.439 * [backup-simplify]: Simplify re into re
3.440 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.440 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.440 * [backup-simplify]: Simplify (+ 1 0) into 1
3.440 * [backup-simplify]: Simplify (sqrt 1) into 1
3.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.441 * [backup-simplify]: Simplify (+ 0 0) into 0
3.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.442 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.442 * [taylor]: Taking taylor expansion of im in re
3.442 * [backup-simplify]: Simplify im into im
3.442 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.442 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.442 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.442 * [taylor]: Taking taylor expansion of re in re
3.442 * [backup-simplify]: Simplify 0 into 0
3.442 * [backup-simplify]: Simplify 1 into 1
3.442 * [backup-simplify]: Simplify (* 1 1) into 1
3.442 * [backup-simplify]: Simplify (/ 1 1) into 1
3.443 * [backup-simplify]: Simplify (+ 0 1) into 1
3.443 * [backup-simplify]: Simplify (sqrt 1) into 1
3.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.444 * [backup-simplify]: Simplify (+ 0 0) into 0
3.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.444 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.444 * [taylor]: Taking taylor expansion of im in re
3.444 * [backup-simplify]: Simplify im into im
3.445 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.445 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.445 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.445 * [taylor]: Taking taylor expansion of re in re
3.445 * [backup-simplify]: Simplify 0 into 0
3.445 * [backup-simplify]: Simplify 1 into 1
3.445 * [backup-simplify]: Simplify (* 1 1) into 1
3.445 * [backup-simplify]: Simplify (/ 1 1) into 1
3.445 * [backup-simplify]: Simplify (+ 0 1) into 1
3.446 * [backup-simplify]: Simplify (sqrt 1) into 1
3.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.447 * [backup-simplify]: Simplify (+ 0 0) into 0
3.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.447 * [taylor]: Taking taylor expansion of 1 in im
3.447 * [backup-simplify]: Simplify 1 into 1
3.447 * [taylor]: Taking taylor expansion of 0 in im
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 1 into 1
3.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.448 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.449 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.449 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.449 * [taylor]: Taking taylor expansion of 1/2 in im
3.449 * [backup-simplify]: Simplify 1/2 into 1/2
3.449 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.449 * [taylor]: Taking taylor expansion of im in im
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify 1 into 1
3.450 * [backup-simplify]: Simplify (* 1 1) into 1
3.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.453 * [backup-simplify]: Simplify (+ 0 0) into 0
3.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.453 * [taylor]: Taking taylor expansion of 0 in im
3.453 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.454 * * * [progress]: simplifying candidates
3.456 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
3.463 * * [simplify]: Extracting # 0 : cost  0
3.464 * * [simplify]: Extracting # 1 : cost  0
3.464 * * [simplify]: Extracting # 2 : cost  0
3.464 * * [simplify]: Extracting # 3 : cost  0
3.464 * * [simplify]: Extracting # 4 : cost  0
3.465 * * [simplify]: Extracting # 5 : cost  0
3.465 * * [simplify]: Extracting # 6 : cost  0
3.465 * * [simplify]: Extracting # 7 : cost  0
3.466 * * [simplify]: iteration  0 :  133  enodes  (cost  3041 )
3.538 * * [simplify]: Extracting # 0 : cost  0
3.538 * * [simplify]: Extracting # 1 : cost  0
3.539 * * [simplify]: Extracting # 2 : cost  0
3.539 * * [simplify]: Extracting # 3 : cost  0
3.540 * * [simplify]: Extracting # 4 : cost  0
3.540 * * [simplify]: Extracting # 5 : cost  0
3.541 * * [simplify]: iteration  1 :  264  enodes  (cost  1733 )
3.647 * * [simplify]: Extracting # 0 : cost  0
3.647 * * [simplify]: Extracting # 1 : cost  0
3.648 * * [simplify]: Extracting # 2 : cost  0
3.649 * * [simplify]: Extracting # 3 : cost  0
3.649 * * [simplify]: Extracting # 4 : cost  0
3.650 * * [simplify]: Extracting # 5 : cost  0
3.651 * * [simplify]: iteration  2 :  706  enodes  (cost  1579 )
4.144 * * [simplify]: Extracting # 0 : cost  0
4.147 * * [simplify]: Extracting # 1 : cost  0
4.149 * * [simplify]: Extracting # 2 : cost  0
4.151 * * [simplify]: Extracting # 3 : cost  0
4.152 * * [simplify]: Extracting # 4 : cost  0
4.158 * * [simplify]: Extracting # 5 : cost  0
4.160 * * [simplify]: iteration  3 :  2108  enodes  (cost  1520 )
5.549 * * [simplify]: Extracting # 0 : cost  0
5.561 * * [simplify]: Extracting # 1 : cost  0
5.572 * * [simplify]: Extracting # 2 : cost  0
5.583 * * [simplify]: Extracting # 3 : cost  0
5.594 * * [simplify]: Extracting # 4 : cost  0
5.604 * * [simplify]: Extracting # 5 : cost  0
5.618 * * [simplify]: iteration done:  5001  enodes  (cost  1479 )
5.619 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (pow (+ re (sqrt (+ (* re re) (* im im)))) 3)
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* re re) (* im im))
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (+ (* re re) (* im im))) 4)
  (+ (* re re) (* im im))
  (pow (sqrt (+ (* re re) (* im im))) 4)
  2
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (+ (* re re) (* im im))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  2
  1/2
  1
  1/2
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 5)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4)))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  im
  re
  (- re)
5.622 * * * [progress]: adding candidates to table
6.003 * * [progress]: iteration 3 / 4
6.003 * * * [progress]: picking best candidate
6.038 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
6.038 * * * [progress]: localizing error
6.073 * * * [progress]: generating rewritten candidates
6.073 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 2 1)
6.088 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
6.177 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2)
6.210 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
6.248 * * * [progress]: generating series expansions
6.248 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 2 1)
6.249 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.249 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.249 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.249 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.249 * [taylor]: Taking taylor expansion of re in im
6.249 * [backup-simplify]: Simplify re into re
6.249 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.249 * [taylor]: Taking taylor expansion of im in im
6.249 * [backup-simplify]: Simplify 0 into 0
6.249 * [backup-simplify]: Simplify 1 into 1
6.249 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.249 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.249 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.249 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.250 * [backup-simplify]: Simplify (+ 0 0) into 0
6.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.250 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.250 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.250 * [taylor]: Taking taylor expansion of re in re
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [backup-simplify]: Simplify 1 into 1
6.250 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.250 * [taylor]: Taking taylor expansion of im in re
6.250 * [backup-simplify]: Simplify im into im
6.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.250 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.250 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.250 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.250 * [backup-simplify]: Simplify (+ 0 0) into 0
6.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.251 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.251 * [taylor]: Taking taylor expansion of re in re
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 1 into 1
6.251 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.251 * [taylor]: Taking taylor expansion of im in re
6.251 * [backup-simplify]: Simplify im into im
6.251 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.251 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.251 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.251 * [backup-simplify]: Simplify (+ 0 0) into 0
6.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.251 * [taylor]: Taking taylor expansion of im in im
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 1 into 1
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [taylor]: Taking taylor expansion of 0 in im
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify 1 into 1
6.252 * [backup-simplify]: Simplify (* 1 1) into 1
6.252 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.252 * [backup-simplify]: Simplify (+ 1 0) into 1
6.253 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.253 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.253 * [taylor]: Taking taylor expansion of 1/2 in im
6.253 * [backup-simplify]: Simplify 1/2 into 1/2
6.253 * [taylor]: Taking taylor expansion of im in im
6.253 * [backup-simplify]: Simplify 0 into 0
6.253 * [backup-simplify]: Simplify 1 into 1
6.253 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.254 * [backup-simplify]: Simplify 0 into 0
6.254 * [backup-simplify]: Simplify 0 into 0
6.254 * [backup-simplify]: Simplify 0 into 0
6.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.255 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.255 * [backup-simplify]: Simplify (+ 0 0) into 0
6.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.255 * [taylor]: Taking taylor expansion of 0 in im
6.255 * [backup-simplify]: Simplify 0 into 0
6.255 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.256 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.256 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.256 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.256 * [taylor]: Taking taylor expansion of im in im
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 1 into 1
6.256 * [backup-simplify]: Simplify (* 1 1) into 1
6.256 * [backup-simplify]: Simplify (/ 1 1) into 1
6.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.257 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.257 * [taylor]: Taking taylor expansion of re in im
6.257 * [backup-simplify]: Simplify re into re
6.257 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.257 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.257 * [backup-simplify]: Simplify (+ 1 0) into 1
6.257 * [backup-simplify]: Simplify (sqrt 1) into 1
6.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.258 * [backup-simplify]: Simplify (+ 0 0) into 0
6.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.259 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.259 * [taylor]: Taking taylor expansion of im in re
6.259 * [backup-simplify]: Simplify im into im
6.259 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.259 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.259 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.259 * [taylor]: Taking taylor expansion of re in re
6.259 * [backup-simplify]: Simplify 0 into 0
6.259 * [backup-simplify]: Simplify 1 into 1
6.259 * [backup-simplify]: Simplify (* 1 1) into 1
6.260 * [backup-simplify]: Simplify (/ 1 1) into 1
6.260 * [backup-simplify]: Simplify (+ 0 1) into 1
6.260 * [backup-simplify]: Simplify (sqrt 1) into 1
6.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.261 * [backup-simplify]: Simplify (+ 0 0) into 0
6.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.262 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.262 * [taylor]: Taking taylor expansion of im in re
6.262 * [backup-simplify]: Simplify im into im
6.262 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.262 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.262 * [taylor]: Taking taylor expansion of re in re
6.262 * [backup-simplify]: Simplify 0 into 0
6.262 * [backup-simplify]: Simplify 1 into 1
6.262 * [backup-simplify]: Simplify (* 1 1) into 1
6.262 * [backup-simplify]: Simplify (/ 1 1) into 1
6.263 * [backup-simplify]: Simplify (+ 0 1) into 1
6.263 * [backup-simplify]: Simplify (sqrt 1) into 1
6.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.264 * [backup-simplify]: Simplify (+ 0 0) into 0
6.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.265 * [taylor]: Taking taylor expansion of 1 in im
6.265 * [backup-simplify]: Simplify 1 into 1
6.265 * [taylor]: Taking taylor expansion of 0 in im
6.265 * [backup-simplify]: Simplify 0 into 0
6.265 * [backup-simplify]: Simplify 1 into 1
6.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.266 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.267 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.267 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.267 * [taylor]: Taking taylor expansion of 1/2 in im
6.267 * [backup-simplify]: Simplify 1/2 into 1/2
6.267 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.267 * [taylor]: Taking taylor expansion of im in im
6.267 * [backup-simplify]: Simplify 0 into 0
6.267 * [backup-simplify]: Simplify 1 into 1
6.267 * [backup-simplify]: Simplify (* 1 1) into 1
6.267 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (+ 0 0) into 0
6.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.270 * [taylor]: Taking taylor expansion of 0 in im
6.270 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.271 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.272 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.272 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.272 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.272 * [taylor]: Taking taylor expansion of im in im
6.272 * [backup-simplify]: Simplify 0 into 0
6.272 * [backup-simplify]: Simplify 1 into 1
6.272 * [backup-simplify]: Simplify (* 1 1) into 1
6.272 * [backup-simplify]: Simplify (/ 1 1) into 1
6.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.272 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.272 * [taylor]: Taking taylor expansion of re in im
6.272 * [backup-simplify]: Simplify re into re
6.272 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.273 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.273 * [backup-simplify]: Simplify (+ 1 0) into 1
6.274 * [backup-simplify]: Simplify (sqrt 1) into 1
6.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.275 * [backup-simplify]: Simplify (+ 0 0) into 0
6.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.276 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.276 * [taylor]: Taking taylor expansion of im in re
6.276 * [backup-simplify]: Simplify im into im
6.277 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.277 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.277 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.277 * [taylor]: Taking taylor expansion of re in re
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 1 into 1
6.277 * [backup-simplify]: Simplify (* 1 1) into 1
6.278 * [backup-simplify]: Simplify (/ 1 1) into 1
6.278 * [backup-simplify]: Simplify (+ 0 1) into 1
6.278 * [backup-simplify]: Simplify (sqrt 1) into 1
6.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.280 * [backup-simplify]: Simplify (+ 0 0) into 0
6.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.281 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.281 * [taylor]: Taking taylor expansion of im in re
6.281 * [backup-simplify]: Simplify im into im
6.281 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.281 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.281 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.281 * [taylor]: Taking taylor expansion of re in re
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify 1 into 1
6.282 * [backup-simplify]: Simplify (* 1 1) into 1
6.282 * [backup-simplify]: Simplify (/ 1 1) into 1
6.283 * [backup-simplify]: Simplify (+ 0 1) into 1
6.283 * [backup-simplify]: Simplify (sqrt 1) into 1
6.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.285 * [backup-simplify]: Simplify (+ 0 0) into 0
6.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.286 * [taylor]: Taking taylor expansion of 1 in im
6.286 * [backup-simplify]: Simplify 1 into 1
6.286 * [taylor]: Taking taylor expansion of 0 in im
6.286 * [backup-simplify]: Simplify 0 into 0
6.286 * [backup-simplify]: Simplify 1 into 1
6.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.288 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.289 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.289 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.289 * [taylor]: Taking taylor expansion of 1/2 in im
6.289 * [backup-simplify]: Simplify 1/2 into 1/2
6.289 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.290 * [taylor]: Taking taylor expansion of im in im
6.290 * [backup-simplify]: Simplify 0 into 0
6.290 * [backup-simplify]: Simplify 1 into 1
6.290 * [backup-simplify]: Simplify (* 1 1) into 1
6.290 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.292 * [backup-simplify]: Simplify 0 into 0
6.292 * [backup-simplify]: Simplify 0 into 0
6.292 * [backup-simplify]: Simplify 0 into 0
6.292 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.295 * [backup-simplify]: Simplify (+ 0 0) into 0
6.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.296 * [taylor]: Taking taylor expansion of 0 in im
6.296 * [backup-simplify]: Simplify 0 into 0
6.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.299 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
6.299 * [backup-simplify]: Simplify (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))))
6.299 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
6.299 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
6.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.299 * [taylor]: Taking taylor expansion of 2.0 in im
6.299 * [backup-simplify]: Simplify 2.0 into 2.0
6.300 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.301 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
6.301 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
6.301 * [taylor]: Taking taylor expansion of re in im
6.301 * [backup-simplify]: Simplify re into re
6.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.301 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.301 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.301 * [taylor]: Taking taylor expansion of re in im
6.301 * [backup-simplify]: Simplify re into re
6.301 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.301 * [taylor]: Taking taylor expansion of im in im
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 1 into 1
6.301 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.301 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.301 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.301 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.301 * [backup-simplify]: Simplify (+ 0 0) into 0
6.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.302 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
6.302 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
6.302 * [backup-simplify]: Simplify (+ 0 0) into 0
6.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.302 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
6.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.302 * [taylor]: Taking taylor expansion of 2.0 in re
6.302 * [backup-simplify]: Simplify 2.0 into 2.0
6.302 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.303 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
6.303 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.303 * [taylor]: Taking taylor expansion of re in re
6.303 * [backup-simplify]: Simplify 0 into 0
6.303 * [backup-simplify]: Simplify 1 into 1
6.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.303 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.303 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.303 * [taylor]: Taking taylor expansion of re in re
6.303 * [backup-simplify]: Simplify 0 into 0
6.303 * [backup-simplify]: Simplify 1 into 1
6.303 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.303 * [taylor]: Taking taylor expansion of im in re
6.303 * [backup-simplify]: Simplify im into im
6.303 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.303 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.303 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.303 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.303 * [backup-simplify]: Simplify (+ 0 0) into 0
6.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.304 * [backup-simplify]: Simplify (+ 0 im) into im
6.304 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.304 * [backup-simplify]: Simplify (+ 1 0) into 1
6.304 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.304 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
6.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.304 * [taylor]: Taking taylor expansion of 2.0 in re
6.304 * [backup-simplify]: Simplify 2.0 into 2.0
6.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.305 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
6.305 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.305 * [taylor]: Taking taylor expansion of re in re
6.305 * [backup-simplify]: Simplify 0 into 0
6.305 * [backup-simplify]: Simplify 1 into 1
6.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.305 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.305 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.305 * [taylor]: Taking taylor expansion of re in re
6.305 * [backup-simplify]: Simplify 0 into 0
6.305 * [backup-simplify]: Simplify 1 into 1
6.305 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.305 * [taylor]: Taking taylor expansion of im in re
6.305 * [backup-simplify]: Simplify im into im
6.305 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.305 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.305 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.305 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.306 * [backup-simplify]: Simplify (+ 0 0) into 0
6.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.306 * [backup-simplify]: Simplify (+ 0 im) into im
6.306 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.306 * [backup-simplify]: Simplify (+ 1 0) into 1
6.306 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.306 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
6.306 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
6.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.306 * [taylor]: Taking taylor expansion of 2.0 in im
6.306 * [backup-simplify]: Simplify 2.0 into 2.0
6.307 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.307 * [taylor]: Taking taylor expansion of (sqrt im) in im
6.307 * [taylor]: Taking taylor expansion of im in im
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify 1 into 1
6.307 * [backup-simplify]: Simplify (sqrt 0) into 0
6.308 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.309 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.309 * [backup-simplify]: Simplify 0 into 0
6.309 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
6.309 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
6.309 * [taylor]: Taking taylor expansion of 1/2 in im
6.309 * [backup-simplify]: Simplify 1/2 into 1/2
6.309 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
6.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.309 * [taylor]: Taking taylor expansion of 2.0 in im
6.309 * [backup-simplify]: Simplify 2.0 into 2.0
6.309 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
6.310 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.310 * [taylor]: Taking taylor expansion of im in im
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 1 into 1
6.310 * [backup-simplify]: Simplify (/ 1 1) into 1
6.310 * [backup-simplify]: Simplify (sqrt 0) into 0
6.311 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.316 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.316 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.318 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.319 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.321 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.321 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.322 * [backup-simplify]: Simplify (* 1 1) into 1
6.322 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.322 * [backup-simplify]: Simplify (+ 1 0) into 1
6.323 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.323 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.323 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
6.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.325 * [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)))))
6.325 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
6.325 * [taylor]: Taking taylor expansion of 1/8 in im
6.325 * [backup-simplify]: Simplify 1/8 into 1/8
6.325 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
6.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.325 * [taylor]: Taking taylor expansion of 2.0 in im
6.325 * [backup-simplify]: Simplify 2.0 into 2.0
6.325 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
6.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
6.325 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.325 * [taylor]: Taking taylor expansion of im in im
6.326 * [backup-simplify]: Simplify 0 into 0
6.326 * [backup-simplify]: Simplify 1 into 1
6.326 * [backup-simplify]: Simplify (* 1 1) into 1
6.326 * [backup-simplify]: Simplify (* 1 1) into 1
6.326 * [backup-simplify]: Simplify (/ 1 1) into 1
6.326 * [backup-simplify]: Simplify (sqrt 0) into 0
6.327 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.330 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.331 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.332 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.334 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.335 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.340 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.342 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.347 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
6.348 * [backup-simplify]: Simplify (exp (log (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)))))))
6.348 * [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
6.348 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
6.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.348 * [taylor]: Taking taylor expansion of 2.0 in im
6.348 * [backup-simplify]: Simplify 2.0 into 2.0
6.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
6.349 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.349 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.349 * [taylor]: Taking taylor expansion of re in im
6.349 * [backup-simplify]: Simplify re into re
6.349 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.350 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.350 * [taylor]: Taking taylor expansion of im in im
6.350 * [backup-simplify]: Simplify 0 into 0
6.350 * [backup-simplify]: Simplify 1 into 1
6.350 * [backup-simplify]: Simplify (* 1 1) into 1
6.350 * [backup-simplify]: Simplify (/ 1 1) into 1
6.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.350 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.350 * [taylor]: Taking taylor expansion of re in im
6.350 * [backup-simplify]: Simplify re into re
6.351 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.351 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.351 * [backup-simplify]: Simplify (+ 1 0) into 1
6.351 * [backup-simplify]: Simplify (sqrt 1) into 1
6.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.353 * [backup-simplify]: Simplify (+ 0 0) into 0
6.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.354 * [backup-simplify]: Simplify (+ 0 1) into 1
6.355 * [backup-simplify]: Simplify (sqrt 0) into 0
6.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.356 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
6.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.356 * [taylor]: Taking taylor expansion of 2.0 in re
6.356 * [backup-simplify]: Simplify 2.0 into 2.0
6.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.358 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.358 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.358 * [taylor]: Taking taylor expansion of re in re
6.358 * [backup-simplify]: Simplify 0 into 0
6.358 * [backup-simplify]: Simplify 1 into 1
6.358 * [backup-simplify]: Simplify (/ 1 1) into 1
6.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.358 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.358 * [taylor]: Taking taylor expansion of im in re
6.358 * [backup-simplify]: Simplify im into im
6.358 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.359 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.359 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.359 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.359 * [taylor]: Taking taylor expansion of re in re
6.359 * [backup-simplify]: Simplify 0 into 0
6.359 * [backup-simplify]: Simplify 1 into 1
6.359 * [backup-simplify]: Simplify (* 1 1) into 1
6.359 * [backup-simplify]: Simplify (/ 1 1) into 1
6.360 * [backup-simplify]: Simplify (+ 0 1) into 1
6.360 * [backup-simplify]: Simplify (sqrt 1) into 1
6.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.362 * [backup-simplify]: Simplify (+ 0 0) into 0
6.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.363 * [backup-simplify]: Simplify (+ 1 1) into 2
6.363 * [backup-simplify]: Simplify (sqrt 0) into 0
6.364 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.364 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
6.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.365 * [taylor]: Taking taylor expansion of 2.0 in re
6.365 * [backup-simplify]: Simplify 2.0 into 2.0
6.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.366 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.366 * [taylor]: Taking taylor expansion of re in re
6.366 * [backup-simplify]: Simplify 0 into 0
6.366 * [backup-simplify]: Simplify 1 into 1
6.366 * [backup-simplify]: Simplify (/ 1 1) into 1
6.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.366 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.367 * [taylor]: Taking taylor expansion of im in re
6.367 * [backup-simplify]: Simplify im into im
6.367 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.367 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.367 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.367 * [taylor]: Taking taylor expansion of re in re
6.367 * [backup-simplify]: Simplify 0 into 0
6.367 * [backup-simplify]: Simplify 1 into 1
6.367 * [backup-simplify]: Simplify (* 1 1) into 1
6.368 * [backup-simplify]: Simplify (/ 1 1) into 1
6.368 * [backup-simplify]: Simplify (+ 0 1) into 1
6.369 * [backup-simplify]: Simplify (sqrt 1) into 1
6.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.370 * [backup-simplify]: Simplify (+ 0 0) into 0
6.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.371 * [backup-simplify]: Simplify (+ 1 1) into 2
6.372 * [backup-simplify]: Simplify (sqrt 0) into 0
6.373 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.373 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.373 * [taylor]: Taking taylor expansion of 0 in im
6.373 * [backup-simplify]: Simplify 0 into 0
6.375 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.376 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.376 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.376 * [taylor]: Taking taylor expansion of +nan.0 in im
6.376 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.376 * [taylor]: Taking taylor expansion of 2.0 in im
6.376 * [backup-simplify]: Simplify 2.0 into 2.0
6.376 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.377 * [backup-simplify]: Simplify 0 into 0
6.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.378 * [backup-simplify]: Simplify (+ 0 0) into 0
6.381 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.382 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.384 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.384 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.384 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.385 * [taylor]: Taking taylor expansion of +nan.0 in im
6.385 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.385 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.385 * [taylor]: Taking taylor expansion of 2.0 in im
6.385 * [backup-simplify]: Simplify 2.0 into 2.0
6.385 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.387 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.388 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.390 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.390 * [backup-simplify]: Simplify 0 into 0
6.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.393 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.394 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.394 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.397 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.400 * [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)))))
6.400 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
6.400 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
6.400 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.400 * [taylor]: Taking taylor expansion of +nan.0 in im
6.400 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.400 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.400 * [taylor]: Taking taylor expansion of 2.0 in im
6.400 * [backup-simplify]: Simplify 2.0 into 2.0
6.401 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.401 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.401 * [taylor]: Taking taylor expansion of im in im
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify 1 into 1
6.402 * [backup-simplify]: Simplify (* 1 1) into 1
6.403 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.403 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.403 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.403 * [taylor]: Taking taylor expansion of +nan.0 in im
6.403 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.403 * [taylor]: Taking taylor expansion of 2.0 in im
6.403 * [backup-simplify]: Simplify 2.0 into 2.0
6.403 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.406 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.407 * [backup-simplify]: Simplify (+ 0 0) into 0
6.407 * [backup-simplify]: Simplify (- 0) into 0
6.407 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.410 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.411 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.412 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.413 * [backup-simplify]: Simplify (- 0) into 0
6.413 * [backup-simplify]: Simplify 0 into 0
6.413 * [backup-simplify]: Simplify 0 into 0
6.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.414 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.417 * [backup-simplify]: Simplify (+ 0 0) into 0
6.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.418 * [backup-simplify]: Simplify (+ 0 0) into 0
6.419 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.423 * [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)))))
6.423 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
6.423 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
6.423 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.423 * [taylor]: Taking taylor expansion of +nan.0 in im
6.423 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.423 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.423 * [taylor]: Taking taylor expansion of 2.0 in im
6.423 * [backup-simplify]: Simplify 2.0 into 2.0
6.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.425 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.425 * [taylor]: Taking taylor expansion of im in im
6.425 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify 1 into 1
6.425 * [backup-simplify]: Simplify (* 1 1) into 1
6.426 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.426 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.426 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.426 * [taylor]: Taking taylor expansion of +nan.0 in im
6.426 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.426 * [taylor]: Taking taylor expansion of 2.0 in im
6.426 * [backup-simplify]: Simplify 2.0 into 2.0
6.427 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.430 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.430 * [backup-simplify]: Simplify (+ 0 0) into 0
6.431 * [backup-simplify]: Simplify (- 0) into 0
6.431 * [backup-simplify]: Simplify 0 into 0
6.432 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.435 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.436 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.438 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.440 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.442 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.444 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.454 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
6.454 * [backup-simplify]: Simplify (exp (log (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))))
6.454 * [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
6.454 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
6.454 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.454 * [taylor]: Taking taylor expansion of 2.0 in im
6.454 * [backup-simplify]: Simplify 2.0 into 2.0
6.455 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.455 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
6.455 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
6.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.455 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.455 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.455 * [taylor]: Taking taylor expansion of im in im
6.455 * [backup-simplify]: Simplify 0 into 0
6.455 * [backup-simplify]: Simplify 1 into 1
6.455 * [backup-simplify]: Simplify (* 1 1) into 1
6.456 * [backup-simplify]: Simplify (/ 1 1) into 1
6.456 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.456 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.456 * [taylor]: Taking taylor expansion of re in im
6.456 * [backup-simplify]: Simplify re into re
6.456 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.456 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.456 * [backup-simplify]: Simplify (+ 1 0) into 1
6.456 * [backup-simplify]: Simplify (sqrt 1) into 1
6.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.457 * [backup-simplify]: Simplify (+ 0 0) into 0
6.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.458 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.458 * [taylor]: Taking taylor expansion of re in im
6.458 * [backup-simplify]: Simplify re into re
6.458 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.458 * [backup-simplify]: Simplify (+ 1 0) into 1
6.458 * [backup-simplify]: Simplify (sqrt 0) into 0
6.459 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.459 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
6.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.459 * [taylor]: Taking taylor expansion of 2.0 in re
6.459 * [backup-simplify]: Simplify 2.0 into 2.0
6.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.460 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
6.460 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.460 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.460 * [taylor]: Taking taylor expansion of im in re
6.460 * [backup-simplify]: Simplify im into im
6.460 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.460 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.460 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.460 * [taylor]: Taking taylor expansion of re in re
6.461 * [backup-simplify]: Simplify 0 into 0
6.461 * [backup-simplify]: Simplify 1 into 1
6.461 * [backup-simplify]: Simplify (* 1 1) into 1
6.461 * [backup-simplify]: Simplify (/ 1 1) into 1
6.461 * [backup-simplify]: Simplify (+ 0 1) into 1
6.461 * [backup-simplify]: Simplify (sqrt 1) into 1
6.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.463 * [backup-simplify]: Simplify (+ 0 0) into 0
6.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.463 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.463 * [taylor]: Taking taylor expansion of re in re
6.463 * [backup-simplify]: Simplify 0 into 0
6.463 * [backup-simplify]: Simplify 1 into 1
6.463 * [backup-simplify]: Simplify (/ 1 1) into 1
6.463 * [backup-simplify]: Simplify (- 1) into -1
6.464 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.464 * [backup-simplify]: Simplify (- 0) into 0
6.465 * [backup-simplify]: Simplify (+ 0 0) into 0
6.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.466 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.467 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.467 * [backup-simplify]: Simplify (- 0) into 0
6.467 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.468 * [backup-simplify]: Simplify (sqrt 0) into 0
6.468 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.468 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
6.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.468 * [taylor]: Taking taylor expansion of 2.0 in re
6.468 * [backup-simplify]: Simplify 2.0 into 2.0
6.468 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.469 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
6.469 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.469 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.469 * [taylor]: Taking taylor expansion of im in re
6.469 * [backup-simplify]: Simplify im into im
6.469 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.469 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.469 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.469 * [taylor]: Taking taylor expansion of re in re
6.469 * [backup-simplify]: Simplify 0 into 0
6.469 * [backup-simplify]: Simplify 1 into 1
6.470 * [backup-simplify]: Simplify (* 1 1) into 1
6.470 * [backup-simplify]: Simplify (/ 1 1) into 1
6.470 * [backup-simplify]: Simplify (+ 0 1) into 1
6.470 * [backup-simplify]: Simplify (sqrt 1) into 1
6.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.471 * [backup-simplify]: Simplify (+ 0 0) into 0
6.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.472 * [taylor]: Taking taylor expansion of re in re
6.472 * [backup-simplify]: Simplify 0 into 0
6.472 * [backup-simplify]: Simplify 1 into 1
6.472 * [backup-simplify]: Simplify (/ 1 1) into 1
6.472 * [backup-simplify]: Simplify (- 1) into -1
6.472 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.473 * [backup-simplify]: Simplify (- 0) into 0
6.473 * [backup-simplify]: Simplify (+ 0 0) into 0
6.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.474 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.475 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.476 * [backup-simplify]: Simplify (- 0) into 0
6.476 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.476 * [backup-simplify]: Simplify (sqrt 0) into 0
6.477 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.477 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.477 * [taylor]: Taking taylor expansion of 0 in im
6.477 * [backup-simplify]: Simplify 0 into 0
6.478 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
6.478 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
6.478 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.478 * [taylor]: Taking taylor expansion of +nan.0 in im
6.478 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.478 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.478 * [taylor]: Taking taylor expansion of 2.0 in im
6.478 * [backup-simplify]: Simplify 2.0 into 2.0
6.478 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.479 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.479 * [taylor]: Taking taylor expansion of im in im
6.479 * [backup-simplify]: Simplify 0 into 0
6.479 * [backup-simplify]: Simplify 1 into 1
6.479 * [backup-simplify]: Simplify (* 1 1) into 1
6.479 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.481 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.482 * [backup-simplify]: Simplify (- 0) into 0
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.485 * [backup-simplify]: Simplify (+ 0 0) into 0
6.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.487 * [backup-simplify]: Simplify (- 0) into 0
6.487 * [backup-simplify]: Simplify (+ 0 0) into 0
6.488 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
6.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.491 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
6.491 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
6.491 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
6.491 * [taylor]: Taking taylor expansion of +nan.0 in im
6.491 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.491 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
6.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.491 * [taylor]: Taking taylor expansion of 2.0 in im
6.491 * [backup-simplify]: Simplify 2.0 into 2.0
6.491 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.492 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.492 * [taylor]: Taking taylor expansion of im in im
6.492 * [backup-simplify]: Simplify 0 into 0
6.492 * [backup-simplify]: Simplify 1 into 1
6.493 * [backup-simplify]: Simplify (* 1 1) into 1
6.493 * [backup-simplify]: Simplify (* 1 1) into 1
6.494 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.495 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.507 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
6.507 * [backup-simplify]: Simplify (- 0) into 0
6.507 * [backup-simplify]: Simplify 0 into 0
6.509 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.512 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.512 * [backup-simplify]: Simplify (- 0) into 0
6.512 * [backup-simplify]: Simplify 0 into 0
6.512 * [backup-simplify]: Simplify 0 into 0
6.513 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
6.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.516 * [backup-simplify]: Simplify (+ 0 0) into 0
6.518 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
6.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.519 * [backup-simplify]: Simplify (- 0) into 0
6.519 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
6.520 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
6.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.523 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
6.523 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
6.524 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
6.524 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
6.524 * [taylor]: Taking taylor expansion of +nan.0 in im
6.524 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.524 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
6.524 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.524 * [taylor]: Taking taylor expansion of 2.0 in im
6.524 * [backup-simplify]: Simplify 2.0 into 2.0
6.524 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.525 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.525 * [taylor]: Taking taylor expansion of im in im
6.525 * [backup-simplify]: Simplify 0 into 0
6.525 * [backup-simplify]: Simplify 1 into 1
6.525 * [backup-simplify]: Simplify (* 1 1) into 1
6.526 * [backup-simplify]: Simplify (* 1 1) into 1
6.527 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.527 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
6.527 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
6.527 * [taylor]: Taking taylor expansion of +nan.0 in im
6.527 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.527 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
6.527 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.527 * [taylor]: Taking taylor expansion of 2.0 in im
6.527 * [backup-simplify]: Simplify 2.0 into 2.0
6.527 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.528 * [taylor]: Taking taylor expansion of (pow im 6) in im
6.528 * [taylor]: Taking taylor expansion of im in im
6.528 * [backup-simplify]: Simplify 0 into 0
6.528 * [backup-simplify]: Simplify 1 into 1
6.529 * [backup-simplify]: Simplify (* 1 1) into 1
6.529 * [backup-simplify]: Simplify (* 1 1) into 1
6.529 * [backup-simplify]: Simplify (* 1 1) into 1
6.530 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.543 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
6.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.546 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.560 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
6.560 * [backup-simplify]: Simplify (- 0) into 0
6.560 * [backup-simplify]: Simplify (+ 0 0) into 0
6.560 * [backup-simplify]: Simplify (- 0) into 0
6.560 * [backup-simplify]: Simplify 0 into 0
6.560 * [backup-simplify]: Simplify 0 into 0
6.560 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2)
6.561 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
6.561 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
6.561 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
6.561 * [taylor]: Taking taylor expansion of re in im
6.561 * [backup-simplify]: Simplify re into re
6.561 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.561 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.561 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.561 * [taylor]: Taking taylor expansion of re in im
6.561 * [backup-simplify]: Simplify re into re
6.561 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.561 * [taylor]: Taking taylor expansion of im in im
6.561 * [backup-simplify]: Simplify 0 into 0
6.561 * [backup-simplify]: Simplify 1 into 1
6.561 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.561 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.561 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.561 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.561 * [backup-simplify]: Simplify (+ 0 0) into 0
6.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.561 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.561 * [taylor]: Taking taylor expansion of re in re
6.561 * [backup-simplify]: Simplify 0 into 0
6.562 * [backup-simplify]: Simplify 1 into 1
6.562 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.562 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.562 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.562 * [taylor]: Taking taylor expansion of re in re
6.562 * [backup-simplify]: Simplify 0 into 0
6.562 * [backup-simplify]: Simplify 1 into 1
6.562 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.562 * [taylor]: Taking taylor expansion of im in re
6.562 * [backup-simplify]: Simplify im into im
6.562 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.562 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.562 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.562 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.562 * [backup-simplify]: Simplify (+ 0 0) into 0
6.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.562 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.562 * [taylor]: Taking taylor expansion of re in re
6.562 * [backup-simplify]: Simplify 0 into 0
6.562 * [backup-simplify]: Simplify 1 into 1
6.562 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.562 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.562 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.562 * [taylor]: Taking taylor expansion of re in re
6.562 * [backup-simplify]: Simplify 0 into 0
6.562 * [backup-simplify]: Simplify 1 into 1
6.562 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.562 * [taylor]: Taking taylor expansion of im in re
6.562 * [backup-simplify]: Simplify im into im
6.563 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.563 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.563 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.563 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.563 * [backup-simplify]: Simplify (+ 0 0) into 0
6.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.563 * [backup-simplify]: Simplify (+ 0 im) into im
6.563 * [taylor]: Taking taylor expansion of im in im
6.563 * [backup-simplify]: Simplify 0 into 0
6.563 * [backup-simplify]: Simplify 1 into 1
6.563 * [backup-simplify]: Simplify 0 into 0
6.564 * [backup-simplify]: Simplify (+ 1 0) into 1
6.564 * [taylor]: Taking taylor expansion of 1 in im
6.564 * [backup-simplify]: Simplify 1 into 1
6.564 * [backup-simplify]: Simplify 1 into 1
6.564 * [backup-simplify]: Simplify 1 into 1
6.564 * [backup-simplify]: Simplify (* 1 1) into 1
6.564 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.564 * [backup-simplify]: Simplify (+ 1 0) into 1
6.565 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.565 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.565 * [taylor]: Taking taylor expansion of 1/2 in im
6.565 * [backup-simplify]: Simplify 1/2 into 1/2
6.565 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.565 * [taylor]: Taking taylor expansion of im in im
6.565 * [backup-simplify]: Simplify 0 into 0
6.565 * [backup-simplify]: Simplify 1 into 1
6.565 * [backup-simplify]: Simplify (/ 1 1) into 1
6.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.566 * [backup-simplify]: Simplify 0 into 0
6.566 * [backup-simplify]: Simplify 0 into 0
6.566 * [backup-simplify]: Simplify 0 into 0
6.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.570 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.571 * [backup-simplify]: Simplify (+ 0 0) into 0
6.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.571 * [backup-simplify]: Simplify (+ 0 0) into 0
6.571 * [taylor]: Taking taylor expansion of 0 in im
6.571 * [backup-simplify]: Simplify 0 into 0
6.571 * [backup-simplify]: Simplify 0 into 0
6.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.572 * [backup-simplify]: Simplify 0 into 0
6.572 * [backup-simplify]: Simplify 0 into 0
6.572 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
6.572 * [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)))))
6.573 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
6.573 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.573 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.573 * [taylor]: Taking taylor expansion of re in im
6.573 * [backup-simplify]: Simplify re into re
6.573 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.573 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.573 * [taylor]: Taking taylor expansion of im in im
6.573 * [backup-simplify]: Simplify 0 into 0
6.573 * [backup-simplify]: Simplify 1 into 1
6.573 * [backup-simplify]: Simplify (* 1 1) into 1
6.574 * [backup-simplify]: Simplify (/ 1 1) into 1
6.574 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.574 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.574 * [taylor]: Taking taylor expansion of re in im
6.574 * [backup-simplify]: Simplify re into re
6.574 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.574 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.575 * [backup-simplify]: Simplify (+ 1 0) into 1
6.575 * [backup-simplify]: Simplify (sqrt 1) into 1
6.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.577 * [backup-simplify]: Simplify (+ 0 0) into 0
6.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.578 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.578 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.578 * [taylor]: Taking taylor expansion of re in re
6.578 * [backup-simplify]: Simplify 0 into 0
6.578 * [backup-simplify]: Simplify 1 into 1
6.578 * [backup-simplify]: Simplify (/ 1 1) into 1
6.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.578 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.578 * [taylor]: Taking taylor expansion of im in re
6.578 * [backup-simplify]: Simplify im into im
6.578 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.579 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.579 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.579 * [taylor]: Taking taylor expansion of re in re
6.579 * [backup-simplify]: Simplify 0 into 0
6.579 * [backup-simplify]: Simplify 1 into 1
6.579 * [backup-simplify]: Simplify (* 1 1) into 1
6.580 * [backup-simplify]: Simplify (/ 1 1) into 1
6.580 * [backup-simplify]: Simplify (+ 0 1) into 1
6.581 * [backup-simplify]: Simplify (sqrt 1) into 1
6.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.582 * [backup-simplify]: Simplify (+ 0 0) into 0
6.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.583 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.583 * [taylor]: Taking taylor expansion of re in re
6.583 * [backup-simplify]: Simplify 0 into 0
6.583 * [backup-simplify]: Simplify 1 into 1
6.584 * [backup-simplify]: Simplify (/ 1 1) into 1
6.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.584 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.584 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.584 * [taylor]: Taking taylor expansion of im in re
6.584 * [backup-simplify]: Simplify im into im
6.584 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.584 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.584 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.584 * [taylor]: Taking taylor expansion of re in re
6.584 * [backup-simplify]: Simplify 0 into 0
6.584 * [backup-simplify]: Simplify 1 into 1
6.585 * [backup-simplify]: Simplify (* 1 1) into 1
6.585 * [backup-simplify]: Simplify (/ 1 1) into 1
6.586 * [backup-simplify]: Simplify (+ 0 1) into 1
6.586 * [backup-simplify]: Simplify (sqrt 1) into 1
6.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.588 * [backup-simplify]: Simplify (+ 0 0) into 0
6.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.589 * [backup-simplify]: Simplify (+ 1 1) into 2
6.589 * [taylor]: Taking taylor expansion of 2 in im
6.589 * [backup-simplify]: Simplify 2 into 2
6.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.590 * [backup-simplify]: Simplify (+ 0 0) into 0
6.590 * [taylor]: Taking taylor expansion of 0 in im
6.590 * [backup-simplify]: Simplify 0 into 0
6.590 * [backup-simplify]: Simplify 2 into 2
6.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.593 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.595 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.595 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.595 * [taylor]: Taking taylor expansion of 1/2 in im
6.595 * [backup-simplify]: Simplify 1/2 into 1/2
6.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.595 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.595 * [taylor]: Taking taylor expansion of im in im
6.595 * [backup-simplify]: Simplify 0 into 0
6.595 * [backup-simplify]: Simplify 1 into 1
6.596 * [backup-simplify]: Simplify (* 1 1) into 1
6.596 * [backup-simplify]: Simplify (/ 1 1) into 1
6.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.598 * [backup-simplify]: Simplify 0 into 0
6.598 * [backup-simplify]: Simplify 0 into 0
6.598 * [backup-simplify]: Simplify 0 into 0
6.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.599 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.602 * [backup-simplify]: Simplify (+ 0 0) into 0
6.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.603 * [backup-simplify]: Simplify (+ 0 0) into 0
6.603 * [taylor]: Taking taylor expansion of 0 in im
6.603 * [backup-simplify]: Simplify 0 into 0
6.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
6.607 * [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))
6.607 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
6.607 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
6.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.607 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.607 * [taylor]: Taking taylor expansion of im in im
6.607 * [backup-simplify]: Simplify 0 into 0
6.607 * [backup-simplify]: Simplify 1 into 1
6.608 * [backup-simplify]: Simplify (* 1 1) into 1
6.608 * [backup-simplify]: Simplify (/ 1 1) into 1
6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.608 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.608 * [taylor]: Taking taylor expansion of re in im
6.608 * [backup-simplify]: Simplify re into re
6.609 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.609 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.609 * [backup-simplify]: Simplify (+ 1 0) into 1
6.610 * [backup-simplify]: Simplify (sqrt 1) into 1
6.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.611 * [backup-simplify]: Simplify (+ 0 0) into 0
6.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.612 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.612 * [taylor]: Taking taylor expansion of re in im
6.612 * [backup-simplify]: Simplify re into re
6.612 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.612 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.612 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.613 * [taylor]: Taking taylor expansion of im in re
6.613 * [backup-simplify]: Simplify im into im
6.613 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.613 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.613 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.613 * [taylor]: Taking taylor expansion of re in re
6.613 * [backup-simplify]: Simplify 0 into 0
6.613 * [backup-simplify]: Simplify 1 into 1
6.613 * [backup-simplify]: Simplify (* 1 1) into 1
6.614 * [backup-simplify]: Simplify (/ 1 1) into 1
6.614 * [backup-simplify]: Simplify (+ 0 1) into 1
6.615 * [backup-simplify]: Simplify (sqrt 1) into 1
6.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.616 * [backup-simplify]: Simplify (+ 0 0) into 0
6.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.617 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.617 * [taylor]: Taking taylor expansion of re in re
6.617 * [backup-simplify]: Simplify 0 into 0
6.617 * [backup-simplify]: Simplify 1 into 1
6.618 * [backup-simplify]: Simplify (/ 1 1) into 1
6.618 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.618 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.618 * [taylor]: Taking taylor expansion of im in re
6.618 * [backup-simplify]: Simplify im into im
6.618 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.618 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.618 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.618 * [taylor]: Taking taylor expansion of re in re
6.618 * [backup-simplify]: Simplify 0 into 0
6.618 * [backup-simplify]: Simplify 1 into 1
6.619 * [backup-simplify]: Simplify (* 1 1) into 1
6.619 * [backup-simplify]: Simplify (/ 1 1) into 1
6.620 * [backup-simplify]: Simplify (+ 0 1) into 1
6.620 * [backup-simplify]: Simplify (sqrt 1) into 1
6.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.622 * [backup-simplify]: Simplify (+ 0 0) into 0
6.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.623 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.623 * [taylor]: Taking taylor expansion of re in re
6.623 * [backup-simplify]: Simplify 0 into 0
6.623 * [backup-simplify]: Simplify 1 into 1
6.623 * [backup-simplify]: Simplify (/ 1 1) into 1
6.623 * [backup-simplify]: Simplify (- 1) into -1
6.624 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.624 * [taylor]: Taking taylor expansion of 0 in im
6.624 * [backup-simplify]: Simplify 0 into 0
6.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.625 * [backup-simplify]: Simplify (- 0) into 0
6.625 * [backup-simplify]: Simplify (+ 0 0) into 0
6.625 * [taylor]: Taking taylor expansion of 0 in im
6.626 * [backup-simplify]: Simplify 0 into 0
6.626 * [backup-simplify]: Simplify 0 into 0
6.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.628 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.629 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.630 * [backup-simplify]: Simplify (- 0) into 0
6.631 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.631 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.631 * [taylor]: Taking taylor expansion of 1/2 in im
6.631 * [backup-simplify]: Simplify 1/2 into 1/2
6.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.631 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.631 * [taylor]: Taking taylor expansion of im in im
6.631 * [backup-simplify]: Simplify 0 into 0
6.631 * [backup-simplify]: Simplify 1 into 1
6.631 * [backup-simplify]: Simplify (* 1 1) into 1
6.632 * [backup-simplify]: Simplify (/ 1 1) into 1
6.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.634 * [backup-simplify]: Simplify 0 into 0
6.634 * [backup-simplify]: Simplify 0 into 0
6.634 * [backup-simplify]: Simplify 0 into 0
6.634 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.637 * [backup-simplify]: Simplify (+ 0 0) into 0
6.638 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.639 * [backup-simplify]: Simplify (- 0) into 0
6.639 * [backup-simplify]: Simplify (+ 0 0) into 0
6.639 * [taylor]: Taking taylor expansion of 0 in im
6.639 * [backup-simplify]: Simplify 0 into 0
6.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.642 * [backup-simplify]: Simplify 0 into 0
6.642 * [backup-simplify]: Simplify 0 into 0
6.642 * [backup-simplify]: Simplify 0 into 0
6.642 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
6.643 * [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))))))
6.643 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
6.643 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
6.643 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.643 * [taylor]: Taking taylor expansion of 2.0 in im
6.643 * [backup-simplify]: Simplify 2.0 into 2.0
6.643 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.644 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
6.644 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
6.644 * [taylor]: Taking taylor expansion of re in im
6.644 * [backup-simplify]: Simplify re into re
6.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.644 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.644 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.645 * [taylor]: Taking taylor expansion of re in im
6.645 * [backup-simplify]: Simplify re into re
6.645 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.645 * [taylor]: Taking taylor expansion of im in im
6.645 * [backup-simplify]: Simplify 0 into 0
6.645 * [backup-simplify]: Simplify 1 into 1
6.645 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.645 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.645 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.645 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.646 * [backup-simplify]: Simplify (+ 0 0) into 0
6.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.646 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
6.646 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
6.646 * [backup-simplify]: Simplify (+ 0 0) into 0
6.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.647 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
6.647 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.647 * [taylor]: Taking taylor expansion of 2.0 in re
6.647 * [backup-simplify]: Simplify 2.0 into 2.0
6.647 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.648 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
6.648 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.648 * [taylor]: Taking taylor expansion of re in re
6.648 * [backup-simplify]: Simplify 0 into 0
6.648 * [backup-simplify]: Simplify 1 into 1
6.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.648 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.648 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.648 * [taylor]: Taking taylor expansion of re in re
6.648 * [backup-simplify]: Simplify 0 into 0
6.648 * [backup-simplify]: Simplify 1 into 1
6.648 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.648 * [taylor]: Taking taylor expansion of im in re
6.648 * [backup-simplify]: Simplify im into im
6.648 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.649 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.649 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.649 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.649 * [backup-simplify]: Simplify (+ 0 0) into 0
6.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.649 * [backup-simplify]: Simplify (+ 0 im) into im
6.649 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.650 * [backup-simplify]: Simplify (+ 1 0) into 1
6.650 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.650 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
6.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.650 * [taylor]: Taking taylor expansion of 2.0 in re
6.650 * [backup-simplify]: Simplify 2.0 into 2.0
6.650 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.650 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
6.650 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.650 * [taylor]: Taking taylor expansion of re in re
6.650 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify 1 into 1
6.650 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.650 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.650 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.651 * [taylor]: Taking taylor expansion of re in re
6.651 * [backup-simplify]: Simplify 0 into 0
6.651 * [backup-simplify]: Simplify 1 into 1
6.651 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.651 * [taylor]: Taking taylor expansion of im in re
6.651 * [backup-simplify]: Simplify im into im
6.651 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.651 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.651 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.651 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.651 * [backup-simplify]: Simplify (+ 0 0) into 0
6.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.651 * [backup-simplify]: Simplify (+ 0 im) into im
6.651 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.652 * [backup-simplify]: Simplify (+ 1 0) into 1
6.652 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.652 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
6.652 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
6.652 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.652 * [taylor]: Taking taylor expansion of 2.0 in im
6.652 * [backup-simplify]: Simplify 2.0 into 2.0
6.652 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.653 * [taylor]: Taking taylor expansion of (sqrt im) in im
6.653 * [taylor]: Taking taylor expansion of im in im
6.653 * [backup-simplify]: Simplify 0 into 0
6.653 * [backup-simplify]: Simplify 1 into 1
6.653 * [backup-simplify]: Simplify (sqrt 0) into 0
6.654 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.655 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.655 * [backup-simplify]: Simplify 0 into 0
6.655 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
6.655 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
6.655 * [taylor]: Taking taylor expansion of 1/2 in im
6.655 * [backup-simplify]: Simplify 1/2 into 1/2
6.655 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
6.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.655 * [taylor]: Taking taylor expansion of 2.0 in im
6.655 * [backup-simplify]: Simplify 2.0 into 2.0
6.655 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
6.656 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.656 * [taylor]: Taking taylor expansion of im in im
6.656 * [backup-simplify]: Simplify 0 into 0
6.656 * [backup-simplify]: Simplify 1 into 1
6.656 * [backup-simplify]: Simplify (/ 1 1) into 1
6.656 * [backup-simplify]: Simplify (sqrt 0) into 0
6.657 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.658 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.659 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.661 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.662 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.663 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.664 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.665 * [backup-simplify]: Simplify (* 1 1) into 1
6.665 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.665 * [backup-simplify]: Simplify (+ 1 0) into 1
6.665 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.666 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.666 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
6.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.668 * [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)))))
6.668 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
6.668 * [taylor]: Taking taylor expansion of 1/8 in im
6.668 * [backup-simplify]: Simplify 1/8 into 1/8
6.668 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
6.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.668 * [taylor]: Taking taylor expansion of 2.0 in im
6.668 * [backup-simplify]: Simplify 2.0 into 2.0
6.668 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.668 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
6.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
6.668 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.668 * [taylor]: Taking taylor expansion of im in im
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 1 into 1
6.669 * [backup-simplify]: Simplify (* 1 1) into 1
6.669 * [backup-simplify]: Simplify (* 1 1) into 1
6.669 * [backup-simplify]: Simplify (/ 1 1) into 1
6.669 * [backup-simplify]: Simplify (sqrt 0) into 0
6.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.673 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.675 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.677 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.677 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.682 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.684 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.689 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
6.690 * [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)))))))
6.690 * [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
6.690 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
6.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.690 * [taylor]: Taking taylor expansion of 2.0 in im
6.690 * [backup-simplify]: Simplify 2.0 into 2.0
6.691 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
6.691 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.691 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.692 * [taylor]: Taking taylor expansion of re in im
6.692 * [backup-simplify]: Simplify re into re
6.692 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.692 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.692 * [taylor]: Taking taylor expansion of im in im
6.692 * [backup-simplify]: Simplify 0 into 0
6.692 * [backup-simplify]: Simplify 1 into 1
6.692 * [backup-simplify]: Simplify (* 1 1) into 1
6.693 * [backup-simplify]: Simplify (/ 1 1) into 1
6.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.693 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.693 * [taylor]: Taking taylor expansion of re in im
6.693 * [backup-simplify]: Simplify re into re
6.693 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.693 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.694 * [backup-simplify]: Simplify (+ 1 0) into 1
6.694 * [backup-simplify]: Simplify (sqrt 1) into 1
6.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.696 * [backup-simplify]: Simplify (+ 0 0) into 0
6.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.697 * [backup-simplify]: Simplify (+ 0 1) into 1
6.697 * [backup-simplify]: Simplify (sqrt 0) into 0
6.699 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.699 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
6.699 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.699 * [taylor]: Taking taylor expansion of 2.0 in re
6.699 * [backup-simplify]: Simplify 2.0 into 2.0
6.699 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.700 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.700 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.700 * [taylor]: Taking taylor expansion of re in re
6.700 * [backup-simplify]: Simplify 0 into 0
6.700 * [backup-simplify]: Simplify 1 into 1
6.700 * [backup-simplify]: Simplify (/ 1 1) into 1
6.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.701 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.701 * [taylor]: Taking taylor expansion of im in re
6.701 * [backup-simplify]: Simplify im into im
6.701 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.701 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.701 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.701 * [taylor]: Taking taylor expansion of re in re
6.701 * [backup-simplify]: Simplify 0 into 0
6.701 * [backup-simplify]: Simplify 1 into 1
6.702 * [backup-simplify]: Simplify (* 1 1) into 1
6.702 * [backup-simplify]: Simplify (/ 1 1) into 1
6.702 * [backup-simplify]: Simplify (+ 0 1) into 1
6.703 * [backup-simplify]: Simplify (sqrt 1) into 1
6.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.710 * [backup-simplify]: Simplify (+ 0 0) into 0
6.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.711 * [backup-simplify]: Simplify (+ 1 1) into 2
6.711 * [backup-simplify]: Simplify (sqrt 0) into 0
6.713 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.713 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
6.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.713 * [taylor]: Taking taylor expansion of 2.0 in re
6.713 * [backup-simplify]: Simplify 2.0 into 2.0
6.713 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.714 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.714 * [taylor]: Taking taylor expansion of re in re
6.714 * [backup-simplify]: Simplify 0 into 0
6.714 * [backup-simplify]: Simplify 1 into 1
6.715 * [backup-simplify]: Simplify (/ 1 1) into 1
6.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.715 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.715 * [taylor]: Taking taylor expansion of im in re
6.715 * [backup-simplify]: Simplify im into im
6.715 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.715 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.715 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.715 * [taylor]: Taking taylor expansion of re in re
6.715 * [backup-simplify]: Simplify 0 into 0
6.715 * [backup-simplify]: Simplify 1 into 1
6.716 * [backup-simplify]: Simplify (* 1 1) into 1
6.716 * [backup-simplify]: Simplify (/ 1 1) into 1
6.717 * [backup-simplify]: Simplify (+ 0 1) into 1
6.717 * [backup-simplify]: Simplify (sqrt 1) into 1
6.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.719 * [backup-simplify]: Simplify (+ 0 0) into 0
6.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.720 * [backup-simplify]: Simplify (+ 1 1) into 2
6.720 * [backup-simplify]: Simplify (sqrt 0) into 0
6.722 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.722 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.722 * [taylor]: Taking taylor expansion of 0 in im
6.722 * [backup-simplify]: Simplify 0 into 0
6.724 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.725 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.725 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.725 * [taylor]: Taking taylor expansion of +nan.0 in im
6.725 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.725 * [taylor]: Taking taylor expansion of 2.0 in im
6.725 * [backup-simplify]: Simplify 2.0 into 2.0
6.725 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.726 * [backup-simplify]: Simplify 0 into 0
6.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.727 * [backup-simplify]: Simplify (+ 0 0) into 0
6.731 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.732 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.734 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.735 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.735 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.735 * [taylor]: Taking taylor expansion of +nan.0 in im
6.735 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.735 * [taylor]: Taking taylor expansion of 2.0 in im
6.735 * [backup-simplify]: Simplify 2.0 into 2.0
6.735 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.737 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.738 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.740 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.740 * [backup-simplify]: Simplify 0 into 0
6.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.743 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.744 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.745 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.747 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.748 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.750 * [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)))))
6.750 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
6.750 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
6.750 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.750 * [taylor]: Taking taylor expansion of +nan.0 in im
6.750 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.750 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.750 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.750 * [taylor]: Taking taylor expansion of 2.0 in im
6.750 * [backup-simplify]: Simplify 2.0 into 2.0
6.750 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.751 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.751 * [taylor]: Taking taylor expansion of im in im
6.751 * [backup-simplify]: Simplify 0 into 0
6.751 * [backup-simplify]: Simplify 1 into 1
6.752 * [backup-simplify]: Simplify (* 1 1) into 1
6.753 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.753 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.753 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.753 * [taylor]: Taking taylor expansion of +nan.0 in im
6.753 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.753 * [taylor]: Taking taylor expansion of 2.0 in im
6.753 * [backup-simplify]: Simplify 2.0 into 2.0
6.753 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.757 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.757 * [backup-simplify]: Simplify (+ 0 0) into 0
6.758 * [backup-simplify]: Simplify (- 0) into 0
6.758 * [backup-simplify]: Simplify 0 into 0
6.759 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.760 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.762 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.763 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.763 * [backup-simplify]: Simplify (- 0) into 0
6.763 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.764 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.767 * [backup-simplify]: Simplify (+ 0 0) into 0
6.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.768 * [backup-simplify]: Simplify (+ 0 0) into 0
6.769 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.771 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.773 * [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)))))
6.773 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
6.773 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
6.773 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.774 * [taylor]: Taking taylor expansion of +nan.0 in im
6.774 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.774 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.774 * [taylor]: Taking taylor expansion of 2.0 in im
6.774 * [backup-simplify]: Simplify 2.0 into 2.0
6.774 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.775 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.775 * [taylor]: Taking taylor expansion of im in im
6.775 * [backup-simplify]: Simplify 0 into 0
6.775 * [backup-simplify]: Simplify 1 into 1
6.775 * [backup-simplify]: Simplify (* 1 1) into 1
6.777 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.777 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.777 * [taylor]: Taking taylor expansion of +nan.0 in im
6.777 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.777 * [taylor]: Taking taylor expansion of 2.0 in im
6.777 * [backup-simplify]: Simplify 2.0 into 2.0
6.777 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.781 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.781 * [backup-simplify]: Simplify (+ 0 0) into 0
6.781 * [backup-simplify]: Simplify (- 0) into 0
6.781 * [backup-simplify]: Simplify 0 into 0
6.783 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.786 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.787 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.789 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.791 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.794 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.795 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.799 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
6.799 * [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))))
6.799 * [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
6.799 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
6.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.799 * [taylor]: Taking taylor expansion of 2.0 in im
6.799 * [backup-simplify]: Simplify 2.0 into 2.0
6.800 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.800 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
6.800 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
6.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.800 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.800 * [taylor]: Taking taylor expansion of im in im
6.800 * [backup-simplify]: Simplify 0 into 0
6.800 * [backup-simplify]: Simplify 1 into 1
6.800 * [backup-simplify]: Simplify (* 1 1) into 1
6.801 * [backup-simplify]: Simplify (/ 1 1) into 1
6.801 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.801 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.801 * [taylor]: Taking taylor expansion of re in im
6.801 * [backup-simplify]: Simplify re into re
6.801 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.801 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.801 * [backup-simplify]: Simplify (+ 1 0) into 1
6.802 * [backup-simplify]: Simplify (sqrt 1) into 1
6.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.803 * [backup-simplify]: Simplify (+ 0 0) into 0
6.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.803 * [taylor]: Taking taylor expansion of re in im
6.803 * [backup-simplify]: Simplify re into re
6.803 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.804 * [backup-simplify]: Simplify (+ 1 0) into 1
6.804 * [backup-simplify]: Simplify (sqrt 0) into 0
6.805 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.805 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
6.805 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.805 * [taylor]: Taking taylor expansion of 2.0 in re
6.805 * [backup-simplify]: Simplify 2.0 into 2.0
6.805 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.806 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
6.806 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.806 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.806 * [taylor]: Taking taylor expansion of im in re
6.806 * [backup-simplify]: Simplify im into im
6.806 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.806 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.806 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.806 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.806 * [taylor]: Taking taylor expansion of re in re
6.806 * [backup-simplify]: Simplify 0 into 0
6.806 * [backup-simplify]: Simplify 1 into 1
6.806 * [backup-simplify]: Simplify (* 1 1) into 1
6.806 * [backup-simplify]: Simplify (/ 1 1) into 1
6.807 * [backup-simplify]: Simplify (+ 0 1) into 1
6.807 * [backup-simplify]: Simplify (sqrt 1) into 1
6.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.808 * [backup-simplify]: Simplify (+ 0 0) into 0
6.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.808 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.808 * [taylor]: Taking taylor expansion of re in re
6.808 * [backup-simplify]: Simplify 0 into 0
6.808 * [backup-simplify]: Simplify 1 into 1
6.809 * [backup-simplify]: Simplify (/ 1 1) into 1
6.809 * [backup-simplify]: Simplify (- 1) into -1
6.809 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.810 * [backup-simplify]: Simplify (- 0) into 0
6.810 * [backup-simplify]: Simplify (+ 0 0) into 0
6.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.811 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.812 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.813 * [backup-simplify]: Simplify (- 0) into 0
6.813 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.813 * [backup-simplify]: Simplify (sqrt 0) into 0
6.814 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.814 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
6.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.814 * [taylor]: Taking taylor expansion of 2.0 in re
6.814 * [backup-simplify]: Simplify 2.0 into 2.0
6.814 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.814 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
6.814 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.815 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.815 * [taylor]: Taking taylor expansion of im in re
6.815 * [backup-simplify]: Simplify im into im
6.815 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.815 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.815 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.815 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.815 * [taylor]: Taking taylor expansion of re in re
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 1 into 1
6.815 * [backup-simplify]: Simplify (* 1 1) into 1
6.815 * [backup-simplify]: Simplify (/ 1 1) into 1
6.815 * [backup-simplify]: Simplify (+ 0 1) into 1
6.816 * [backup-simplify]: Simplify (sqrt 1) into 1
6.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.817 * [backup-simplify]: Simplify (+ 0 0) into 0
6.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.817 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.817 * [taylor]: Taking taylor expansion of re in re
6.817 * [backup-simplify]: Simplify 0 into 0
6.817 * [backup-simplify]: Simplify 1 into 1
6.817 * [backup-simplify]: Simplify (/ 1 1) into 1
6.818 * [backup-simplify]: Simplify (- 1) into -1
6.818 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.819 * [backup-simplify]: Simplify (- 0) into 0
6.819 * [backup-simplify]: Simplify (+ 0 0) into 0
6.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.820 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.821 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.821 * [backup-simplify]: Simplify (- 0) into 0
6.822 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.822 * [backup-simplify]: Simplify (sqrt 0) into 0
6.822 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.823 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.823 * [taylor]: Taking taylor expansion of 0 in im
6.823 * [backup-simplify]: Simplify 0 into 0
6.823 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
6.823 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
6.823 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.823 * [taylor]: Taking taylor expansion of +nan.0 in im
6.823 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.823 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.823 * [taylor]: Taking taylor expansion of 2.0 in im
6.824 * [backup-simplify]: Simplify 2.0 into 2.0
6.824 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.824 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.824 * [taylor]: Taking taylor expansion of im in im
6.824 * [backup-simplify]: Simplify 0 into 0
6.824 * [backup-simplify]: Simplify 1 into 1
6.825 * [backup-simplify]: Simplify (* 1 1) into 1
6.825 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.828 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.828 * [backup-simplify]: Simplify (- 0) into 0
6.828 * [backup-simplify]: Simplify 0 into 0
6.828 * [backup-simplify]: Simplify 0 into 0
6.829 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.831 * [backup-simplify]: Simplify (+ 0 0) into 0
6.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.833 * [backup-simplify]: Simplify (- 0) into 0
6.834 * [backup-simplify]: Simplify (+ 0 0) into 0
6.835 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
6.836 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.837 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
6.837 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
6.837 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
6.837 * [taylor]: Taking taylor expansion of +nan.0 in im
6.837 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.837 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
6.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.837 * [taylor]: Taking taylor expansion of 2.0 in im
6.837 * [backup-simplify]: Simplify 2.0 into 2.0
6.838 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.839 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.839 * [taylor]: Taking taylor expansion of im in im
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify 1 into 1
6.839 * [backup-simplify]: Simplify (* 1 1) into 1
6.840 * [backup-simplify]: Simplify (* 1 1) into 1
6.841 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.847 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.858 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
6.859 * [backup-simplify]: Simplify (- 0) into 0
6.859 * [backup-simplify]: Simplify 0 into 0
6.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.863 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.864 * [backup-simplify]: Simplify (- 0) into 0
6.864 * [backup-simplify]: Simplify 0 into 0
6.864 * [backup-simplify]: Simplify 0 into 0
6.864 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
6.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.867 * [backup-simplify]: Simplify (+ 0 0) into 0
6.869 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.870 * [backup-simplify]: Simplify (- 0) into 0
6.870 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
6.871 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
6.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.874 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
6.875 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
6.875 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
6.875 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
6.875 * [taylor]: Taking taylor expansion of +nan.0 in im
6.875 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.875 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
6.875 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.875 * [taylor]: Taking taylor expansion of 2.0 in im
6.875 * [backup-simplify]: Simplify 2.0 into 2.0
6.875 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.876 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.876 * [taylor]: Taking taylor expansion of im in im
6.876 * [backup-simplify]: Simplify 0 into 0
6.876 * [backup-simplify]: Simplify 1 into 1
6.877 * [backup-simplify]: Simplify (* 1 1) into 1
6.877 * [backup-simplify]: Simplify (* 1 1) into 1
6.878 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.878 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
6.878 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
6.878 * [taylor]: Taking taylor expansion of +nan.0 in im
6.878 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.878 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
6.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.878 * [taylor]: Taking taylor expansion of 2.0 in im
6.878 * [backup-simplify]: Simplify 2.0 into 2.0
6.879 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.879 * [taylor]: Taking taylor expansion of (pow im 6) in im
6.879 * [taylor]: Taking taylor expansion of im in im
6.879 * [backup-simplify]: Simplify 0 into 0
6.880 * [backup-simplify]: Simplify 1 into 1
6.880 * [backup-simplify]: Simplify (* 1 1) into 1
6.880 * [backup-simplify]: Simplify (* 1 1) into 1
6.881 * [backup-simplify]: Simplify (* 1 1) into 1
6.882 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.892 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
6.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.908 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
6.908 * [backup-simplify]: Simplify (- 0) into 0
6.908 * [backup-simplify]: Simplify (+ 0 0) into 0
6.908 * [backup-simplify]: Simplify (- 0) into 0
6.908 * [backup-simplify]: Simplify 0 into 0
6.909 * [backup-simplify]: Simplify 0 into 0
6.909 * * * [progress]: simplifying candidates
6.911 * [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 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))
  (exp (sqrt (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))
  (exp (log (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (exp (log (sqrt 2.0)))
  (exp (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (log (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (exp (log (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (exp (log 1))
  (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (exp (log (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))))
  (exp (log (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))
  (exp (log (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))))
  (exp (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (exp (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (* (cbrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))
  (cbrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (* (* (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (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)
  (- (+ (* +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
  (+ 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
6.914 * * [simplify]: Extracting # 0 : cost  0
6.914 * * [simplify]: Extracting # 1 : cost  0
6.914 * * [simplify]: Extracting # 2 : cost  0
6.915 * * [simplify]: Extracting # 3 : cost  0
6.915 * * [simplify]: Extracting # 4 : cost  0
6.915 * * [simplify]: Extracting # 5 : cost  0
6.916 * * [simplify]: Extracting # 6 : cost  0
6.916 * * [simplify]: Extracting # 7 : cost  0
6.916 * * [simplify]: Extracting # 8 : cost  0
6.916 * * [simplify]: Extracting # 9 : cost  0
6.917 * * [simplify]: Extracting # 10 : cost  0
6.917 * * [simplify]: Extracting # 11 : cost  0
6.917 * * [simplify]: Extracting # 12 : cost  0
6.918 * * [simplify]: Extracting # 13 : cost  0
6.918 * * [simplify]: iteration  0 :  136  enodes  (cost  1200 )
6.970 * * [simplify]: Extracting # 0 : cost  0
6.970 * * [simplify]: Extracting # 1 : cost  0
6.970 * * [simplify]: Extracting # 2 : cost  0
6.971 * * [simplify]: Extracting # 3 : cost  0
6.971 * * [simplify]: Extracting # 4 : cost  0
6.971 * * [simplify]: iteration  1 :  286  enodes  (cost  1004 )
7.106 * * [simplify]: Extracting # 0 : cost  0
7.107 * * [simplify]: Extracting # 1 : cost  0
7.109 * * [simplify]: Extracting # 2 : cost  0
7.110 * * [simplify]: Extracting # 3 : cost  0
7.112 * * [simplify]: Extracting # 4 : cost  0
7.113 * * [simplify]: iteration  2 :  694  enodes  (cost  905 )
7.458 * * [simplify]: Extracting # 0 : cost  0
7.460 * * [simplify]: Extracting # 1 : cost  0
7.462 * * [simplify]: Extracting # 2 : cost  0
7.463 * * [simplify]: Extracting # 3 : cost  0
7.465 * * [simplify]: Extracting # 4 : cost  0
7.471 * * [simplify]: Extracting # 5 : cost  0
7.473 * * [simplify]: iteration  3 :  1669  enodes  (cost  861 )
8.872 * * [simplify]: Extracting # 0 : cost  0
8.881 * * [simplify]: Extracting # 1 : cost  0
8.888 * * [simplify]: Extracting # 2 : cost  0
8.895 * * [simplify]: Extracting # 3 : cost  0
8.902 * * [simplify]: Extracting # 4 : cost  0
8.909 * * [simplify]: iteration  4 :  4112  enodes  (cost  847 )
10.515 * * [simplify]: Extracting # 0 : cost  0
10.523 * * [simplify]: Extracting # 1 : cost  0
10.532 * * [simplify]: Extracting # 2 : cost  0
10.541 * * [simplify]: Extracting # 3 : cost  0
10.550 * * [simplify]: Extracting # 4 : cost  0
10.558 * * [simplify]: iteration done:  5000  enodes  (cost  847 )
10.559 * [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 1/2)
  E
  (exp 1/2)
  (exp 1/2)
  (exp (* (cbrt (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))
  (exp (sqrt (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  E
  (pow (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 2)
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  1
  (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re))))
  (sqrt (* (* im im) 2.0))
  (sqrt (- (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))))
  (pow (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 2)
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))
  (pow im 2)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (pow (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 2)
  (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 (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re))))
  (sqrt (* (* im im) 2.0))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (- re)
  (* (* +nan.0 (sqrt 2.0)) (- (- im re) (* re re)))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
  0
  (+ re im)
  (+ re re)
  0
  (* (* +nan.0 (sqrt 2.0)) (- (- im re) (* re re)))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
  0
10.560 * * * [progress]: adding candidates to table
10.831 * * [progress]: iteration 4 / 4
10.831 * * * [progress]: picking best candidate
10.870 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
10.870 * * * [progress]: localizing error
10.891 * * * [progress]: generating rewritten candidates
10.891 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 2 1 2 1)
10.899 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1 1 1)
10.908 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2)
10.949 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
11.164 * * * [progress]: generating series expansions
11.164 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 2 1 2 1)
11.164 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
11.164 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
11.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
11.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
11.164 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.164 * [taylor]: Taking taylor expansion of re in im
11.164 * [backup-simplify]: Simplify re into re
11.165 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.165 * [taylor]: Taking taylor expansion of im in im
11.165 * [backup-simplify]: Simplify 0 into 0
11.165 * [backup-simplify]: Simplify 1 into 1
11.165 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.165 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.165 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.165 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.166 * [backup-simplify]: Simplify (+ 0 0) into 0
11.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.166 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.166 * [taylor]: Taking taylor expansion of re in re
11.166 * [backup-simplify]: Simplify 0 into 0
11.166 * [backup-simplify]: Simplify 1 into 1
11.166 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.166 * [taylor]: Taking taylor expansion of im in re
11.166 * [backup-simplify]: Simplify im into im
11.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.166 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.167 * [backup-simplify]: Simplify (+ 0 0) into 0
11.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.167 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.167 * [taylor]: Taking taylor expansion of re in re
11.167 * [backup-simplify]: Simplify 0 into 0
11.167 * [backup-simplify]: Simplify 1 into 1
11.167 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.168 * [taylor]: Taking taylor expansion of im in re
11.168 * [backup-simplify]: Simplify im into im
11.168 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.168 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.168 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.168 * [backup-simplify]: Simplify (+ 0 0) into 0
11.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.169 * [taylor]: Taking taylor expansion of im in im
11.169 * [backup-simplify]: Simplify 0 into 0
11.169 * [backup-simplify]: Simplify 1 into 1
11.169 * [backup-simplify]: Simplify 0 into 0
11.169 * [taylor]: Taking taylor expansion of 0 in im
11.169 * [backup-simplify]: Simplify 0 into 0
11.169 * [backup-simplify]: Simplify 0 into 0
11.169 * [backup-simplify]: Simplify 1 into 1
11.169 * [backup-simplify]: Simplify (* 1 1) into 1
11.170 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.170 * [backup-simplify]: Simplify (+ 1 0) into 1
11.171 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.171 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.171 * [taylor]: Taking taylor expansion of 1/2 in im
11.171 * [backup-simplify]: Simplify 1/2 into 1/2
11.171 * [taylor]: Taking taylor expansion of im in im
11.171 * [backup-simplify]: Simplify 0 into 0
11.171 * [backup-simplify]: Simplify 1 into 1
11.172 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.173 * [backup-simplify]: Simplify 0 into 0
11.173 * [backup-simplify]: Simplify 0 into 0
11.173 * [backup-simplify]: Simplify 0 into 0
11.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.174 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.175 * [backup-simplify]: Simplify (+ 0 0) into 0
11.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.175 * [taylor]: Taking taylor expansion of 0 in im
11.175 * [backup-simplify]: Simplify 0 into 0
11.175 * [backup-simplify]: Simplify 0 into 0
11.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.176 * [backup-simplify]: Simplify 0 into 0
11.176 * [backup-simplify]: Simplify 0 into 0
11.176 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.177 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
11.177 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
11.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.177 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.177 * [taylor]: Taking taylor expansion of im in im
11.177 * [backup-simplify]: Simplify 0 into 0
11.177 * [backup-simplify]: Simplify 1 into 1
11.177 * [backup-simplify]: Simplify (* 1 1) into 1
11.178 * [backup-simplify]: Simplify (/ 1 1) into 1
11.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.178 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.178 * [taylor]: Taking taylor expansion of re in im
11.178 * [backup-simplify]: Simplify re into re
11.178 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.178 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.179 * [backup-simplify]: Simplify (+ 1 0) into 1
11.179 * [backup-simplify]: Simplify (sqrt 1) into 1
11.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.181 * [backup-simplify]: Simplify (+ 0 0) into 0
11.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.182 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.182 * [taylor]: Taking taylor expansion of im in re
11.182 * [backup-simplify]: Simplify im into im
11.182 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.182 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.182 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.182 * [taylor]: Taking taylor expansion of re in re
11.182 * [backup-simplify]: Simplify 0 into 0
11.182 * [backup-simplify]: Simplify 1 into 1
11.183 * [backup-simplify]: Simplify (* 1 1) into 1
11.183 * [backup-simplify]: Simplify (/ 1 1) into 1
11.184 * [backup-simplify]: Simplify (+ 0 1) into 1
11.184 * [backup-simplify]: Simplify (sqrt 1) into 1
11.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.186 * [backup-simplify]: Simplify (+ 0 0) into 0
11.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.187 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.187 * [taylor]: Taking taylor expansion of im in re
11.187 * [backup-simplify]: Simplify im into im
11.187 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.187 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.187 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.187 * [taylor]: Taking taylor expansion of re in re
11.187 * [backup-simplify]: Simplify 0 into 0
11.187 * [backup-simplify]: Simplify 1 into 1
11.188 * [backup-simplify]: Simplify (* 1 1) into 1
11.188 * [backup-simplify]: Simplify (/ 1 1) into 1
11.189 * [backup-simplify]: Simplify (+ 0 1) into 1
11.189 * [backup-simplify]: Simplify (sqrt 1) into 1
11.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.191 * [backup-simplify]: Simplify (+ 0 0) into 0
11.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.192 * [taylor]: Taking taylor expansion of 1 in im
11.192 * [backup-simplify]: Simplify 1 into 1
11.192 * [taylor]: Taking taylor expansion of 0 in im
11.192 * [backup-simplify]: Simplify 0 into 0
11.192 * [backup-simplify]: Simplify 1 into 1
11.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.194 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.195 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.195 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.195 * [taylor]: Taking taylor expansion of 1/2 in im
11.195 * [backup-simplify]: Simplify 1/2 into 1/2
11.195 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.195 * [taylor]: Taking taylor expansion of im in im
11.195 * [backup-simplify]: Simplify 0 into 0
11.196 * [backup-simplify]: Simplify 1 into 1
11.196 * [backup-simplify]: Simplify (* 1 1) into 1
11.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.198 * [backup-simplify]: Simplify 0 into 0
11.198 * [backup-simplify]: Simplify 0 into 0
11.198 * [backup-simplify]: Simplify 0 into 0
11.198 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.201 * [backup-simplify]: Simplify (+ 0 0) into 0
11.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.201 * [taylor]: Taking taylor expansion of 0 in im
11.201 * [backup-simplify]: Simplify 0 into 0
11.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.203 * [backup-simplify]: Simplify 0 into 0
11.203 * [backup-simplify]: Simplify 0 into 0
11.204 * [backup-simplify]: Simplify 0 into 0
11.204 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.204 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
11.204 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
11.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.204 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.204 * [taylor]: Taking taylor expansion of im in im
11.204 * [backup-simplify]: Simplify 0 into 0
11.204 * [backup-simplify]: Simplify 1 into 1
11.205 * [backup-simplify]: Simplify (* 1 1) into 1
11.205 * [backup-simplify]: Simplify (/ 1 1) into 1
11.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.205 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.205 * [taylor]: Taking taylor expansion of re in im
11.205 * [backup-simplify]: Simplify re into re
11.205 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.206 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.206 * [backup-simplify]: Simplify (+ 1 0) into 1
11.206 * [backup-simplify]: Simplify (sqrt 1) into 1
11.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.208 * [backup-simplify]: Simplify (+ 0 0) into 0
11.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.209 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.209 * [taylor]: Taking taylor expansion of im in re
11.209 * [backup-simplify]: Simplify im into im
11.209 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.210 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.210 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.210 * [taylor]: Taking taylor expansion of re in re
11.210 * [backup-simplify]: Simplify 0 into 0
11.210 * [backup-simplify]: Simplify 1 into 1
11.210 * [backup-simplify]: Simplify (* 1 1) into 1
11.210 * [backup-simplify]: Simplify (/ 1 1) into 1
11.211 * [backup-simplify]: Simplify (+ 0 1) into 1
11.211 * [backup-simplify]: Simplify (sqrt 1) into 1
11.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.213 * [backup-simplify]: Simplify (+ 0 0) into 0
11.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.214 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.214 * [taylor]: Taking taylor expansion of im in re
11.214 * [backup-simplify]: Simplify im into im
11.214 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.214 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.214 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.214 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.214 * [taylor]: Taking taylor expansion of re in re
11.215 * [backup-simplify]: Simplify 0 into 0
11.215 * [backup-simplify]: Simplify 1 into 1
11.215 * [backup-simplify]: Simplify (* 1 1) into 1
11.215 * [backup-simplify]: Simplify (/ 1 1) into 1
11.216 * [backup-simplify]: Simplify (+ 0 1) into 1
11.216 * [backup-simplify]: Simplify (sqrt 1) into 1
11.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.218 * [backup-simplify]: Simplify (+ 0 0) into 0
11.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.219 * [taylor]: Taking taylor expansion of 1 in im
11.219 * [backup-simplify]: Simplify 1 into 1
11.219 * [taylor]: Taking taylor expansion of 0 in im
11.219 * [backup-simplify]: Simplify 0 into 0
11.219 * [backup-simplify]: Simplify 1 into 1
11.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.221 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.223 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.223 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.223 * [taylor]: Taking taylor expansion of 1/2 in im
11.223 * [backup-simplify]: Simplify 1/2 into 1/2
11.223 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.223 * [taylor]: Taking taylor expansion of im in im
11.223 * [backup-simplify]: Simplify 0 into 0
11.223 * [backup-simplify]: Simplify 1 into 1
11.223 * [backup-simplify]: Simplify (* 1 1) into 1
11.224 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.225 * [backup-simplify]: Simplify 0 into 0
11.225 * [backup-simplify]: Simplify 0 into 0
11.225 * [backup-simplify]: Simplify 0 into 0
11.225 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.228 * [backup-simplify]: Simplify (+ 0 0) into 0
11.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.229 * [taylor]: Taking taylor expansion of 0 in im
11.229 * [backup-simplify]: Simplify 0 into 0
11.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.231 * [backup-simplify]: Simplify 0 into 0
11.231 * [backup-simplify]: Simplify 0 into 0
11.231 * [backup-simplify]: Simplify 0 into 0
11.231 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.231 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1 1 1)
11.232 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
11.232 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
11.232 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
11.232 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
11.232 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.232 * [taylor]: Taking taylor expansion of re in im
11.232 * [backup-simplify]: Simplify re into re
11.232 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.232 * [taylor]: Taking taylor expansion of im in im
11.232 * [backup-simplify]: Simplify 0 into 0
11.232 * [backup-simplify]: Simplify 1 into 1
11.232 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.232 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.232 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.232 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.233 * [backup-simplify]: Simplify (+ 0 0) into 0
11.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.233 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.233 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.233 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.233 * [taylor]: Taking taylor expansion of re in re
11.233 * [backup-simplify]: Simplify 0 into 0
11.233 * [backup-simplify]: Simplify 1 into 1
11.233 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.233 * [taylor]: Taking taylor expansion of im in re
11.233 * [backup-simplify]: Simplify im into im
11.233 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.234 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.234 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.234 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.234 * [backup-simplify]: Simplify (+ 0 0) into 0
11.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.234 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.234 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.234 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.234 * [taylor]: Taking taylor expansion of re in re
11.234 * [backup-simplify]: Simplify 0 into 0
11.235 * [backup-simplify]: Simplify 1 into 1
11.235 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.235 * [taylor]: Taking taylor expansion of im in re
11.235 * [backup-simplify]: Simplify im into im
11.235 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.235 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.235 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.235 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.235 * [backup-simplify]: Simplify (+ 0 0) into 0
11.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.236 * [taylor]: Taking taylor expansion of im in im
11.236 * [backup-simplify]: Simplify 0 into 0
11.236 * [backup-simplify]: Simplify 1 into 1
11.236 * [backup-simplify]: Simplify 0 into 0
11.236 * [taylor]: Taking taylor expansion of 0 in im
11.236 * [backup-simplify]: Simplify 0 into 0
11.236 * [backup-simplify]: Simplify 0 into 0
11.236 * [backup-simplify]: Simplify 1 into 1
11.236 * [backup-simplify]: Simplify (* 1 1) into 1
11.237 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.237 * [backup-simplify]: Simplify (+ 1 0) into 1
11.238 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.238 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.238 * [taylor]: Taking taylor expansion of 1/2 in im
11.238 * [backup-simplify]: Simplify 1/2 into 1/2
11.238 * [taylor]: Taking taylor expansion of im in im
11.238 * [backup-simplify]: Simplify 0 into 0
11.238 * [backup-simplify]: Simplify 1 into 1
11.238 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.239 * [backup-simplify]: Simplify 0 into 0
11.239 * [backup-simplify]: Simplify 0 into 0
11.239 * [backup-simplify]: Simplify 0 into 0
11.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.241 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.241 * [backup-simplify]: Simplify (+ 0 0) into 0
11.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.242 * [taylor]: Taking taylor expansion of 0 in im
11.242 * [backup-simplify]: Simplify 0 into 0
11.242 * [backup-simplify]: Simplify 0 into 0
11.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.243 * [backup-simplify]: Simplify 0 into 0
11.243 * [backup-simplify]: Simplify 0 into 0
11.243 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.243 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
11.243 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
11.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.243 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.243 * [taylor]: Taking taylor expansion of im in im
11.243 * [backup-simplify]: Simplify 0 into 0
11.243 * [backup-simplify]: Simplify 1 into 1
11.244 * [backup-simplify]: Simplify (* 1 1) into 1
11.244 * [backup-simplify]: Simplify (/ 1 1) into 1
11.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.244 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.244 * [taylor]: Taking taylor expansion of re in im
11.244 * [backup-simplify]: Simplify re into re
11.244 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.245 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.245 * [backup-simplify]: Simplify (+ 1 0) into 1
11.245 * [backup-simplify]: Simplify (sqrt 1) into 1
11.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.247 * [backup-simplify]: Simplify (+ 0 0) into 0
11.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.248 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.249 * [taylor]: Taking taylor expansion of im in re
11.249 * [backup-simplify]: Simplify im into im
11.249 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.249 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.249 * [taylor]: Taking taylor expansion of re in re
11.249 * [backup-simplify]: Simplify 0 into 0
11.249 * [backup-simplify]: Simplify 1 into 1
11.249 * [backup-simplify]: Simplify (* 1 1) into 1
11.250 * [backup-simplify]: Simplify (/ 1 1) into 1
11.250 * [backup-simplify]: Simplify (+ 0 1) into 1
11.251 * [backup-simplify]: Simplify (sqrt 1) into 1
11.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.252 * [backup-simplify]: Simplify (+ 0 0) into 0
11.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.253 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.253 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.253 * [taylor]: Taking taylor expansion of im in re
11.253 * [backup-simplify]: Simplify im into im
11.253 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.254 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.254 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.254 * [taylor]: Taking taylor expansion of re in re
11.254 * [backup-simplify]: Simplify 0 into 0
11.254 * [backup-simplify]: Simplify 1 into 1
11.254 * [backup-simplify]: Simplify (* 1 1) into 1
11.255 * [backup-simplify]: Simplify (/ 1 1) into 1
11.255 * [backup-simplify]: Simplify (+ 0 1) into 1
11.255 * [backup-simplify]: Simplify (sqrt 1) into 1
11.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.257 * [backup-simplify]: Simplify (+ 0 0) into 0
11.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.258 * [taylor]: Taking taylor expansion of 1 in im
11.258 * [backup-simplify]: Simplify 1 into 1
11.258 * [taylor]: Taking taylor expansion of 0 in im
11.258 * [backup-simplify]: Simplify 0 into 0
11.258 * [backup-simplify]: Simplify 1 into 1
11.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.260 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.262 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.262 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.262 * [taylor]: Taking taylor expansion of 1/2 in im
11.262 * [backup-simplify]: Simplify 1/2 into 1/2
11.262 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.262 * [taylor]: Taking taylor expansion of im in im
11.262 * [backup-simplify]: Simplify 0 into 0
11.262 * [backup-simplify]: Simplify 1 into 1
11.262 * [backup-simplify]: Simplify (* 1 1) into 1
11.263 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.264 * [backup-simplify]: Simplify 0 into 0
11.264 * [backup-simplify]: Simplify 0 into 0
11.264 * [backup-simplify]: Simplify 0 into 0
11.264 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.267 * [backup-simplify]: Simplify (+ 0 0) into 0
11.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.268 * [taylor]: Taking taylor expansion of 0 in im
11.268 * [backup-simplify]: Simplify 0 into 0
11.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.270 * [backup-simplify]: Simplify 0 into 0
11.270 * [backup-simplify]: Simplify 0 into 0
11.270 * [backup-simplify]: Simplify 0 into 0
11.270 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.271 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
11.271 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
11.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.271 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.271 * [taylor]: Taking taylor expansion of im in im
11.271 * [backup-simplify]: Simplify 0 into 0
11.271 * [backup-simplify]: Simplify 1 into 1
11.272 * [backup-simplify]: Simplify (* 1 1) into 1
11.272 * [backup-simplify]: Simplify (/ 1 1) into 1
11.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.272 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.272 * [taylor]: Taking taylor expansion of re in im
11.272 * [backup-simplify]: Simplify re into re
11.272 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.272 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.273 * [backup-simplify]: Simplify (+ 1 0) into 1
11.273 * [backup-simplify]: Simplify (sqrt 1) into 1
11.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.275 * [backup-simplify]: Simplify (+ 0 0) into 0
11.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.276 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.276 * [taylor]: Taking taylor expansion of im in re
11.276 * [backup-simplify]: Simplify im into im
11.276 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.276 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.276 * [taylor]: Taking taylor expansion of re in re
11.276 * [backup-simplify]: Simplify 0 into 0
11.276 * [backup-simplify]: Simplify 1 into 1
11.277 * [backup-simplify]: Simplify (* 1 1) into 1
11.277 * [backup-simplify]: Simplify (/ 1 1) into 1
11.278 * [backup-simplify]: Simplify (+ 0 1) into 1
11.278 * [backup-simplify]: Simplify (sqrt 1) into 1
11.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.280 * [backup-simplify]: Simplify (+ 0 0) into 0
11.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.281 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.281 * [taylor]: Taking taylor expansion of im in re
11.281 * [backup-simplify]: Simplify im into im
11.281 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.281 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.281 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.281 * [taylor]: Taking taylor expansion of re in re
11.281 * [backup-simplify]: Simplify 0 into 0
11.281 * [backup-simplify]: Simplify 1 into 1
11.282 * [backup-simplify]: Simplify (* 1 1) into 1
11.282 * [backup-simplify]: Simplify (/ 1 1) into 1
11.282 * [backup-simplify]: Simplify (+ 0 1) into 1
11.283 * [backup-simplify]: Simplify (sqrt 1) into 1
11.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.285 * [backup-simplify]: Simplify (+ 0 0) into 0
11.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.285 * [taylor]: Taking taylor expansion of 1 in im
11.285 * [backup-simplify]: Simplify 1 into 1
11.285 * [taylor]: Taking taylor expansion of 0 in im
11.286 * [backup-simplify]: Simplify 0 into 0
11.286 * [backup-simplify]: Simplify 1 into 1
11.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.288 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.289 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.289 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.289 * [taylor]: Taking taylor expansion of 1/2 in im
11.289 * [backup-simplify]: Simplify 1/2 into 1/2
11.289 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.289 * [taylor]: Taking taylor expansion of im in im
11.289 * [backup-simplify]: Simplify 0 into 0
11.289 * [backup-simplify]: Simplify 1 into 1
11.289 * [backup-simplify]: Simplify (* 1 1) into 1
11.289 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.290 * [backup-simplify]: Simplify 0 into 0
11.290 * [backup-simplify]: Simplify 0 into 0
11.290 * [backup-simplify]: Simplify 0 into 0
11.290 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.292 * [backup-simplify]: Simplify (+ 0 0) into 0
11.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.292 * [taylor]: Taking taylor expansion of 0 in im
11.292 * [backup-simplify]: Simplify 0 into 0
11.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.294 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2)
11.294 * [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))))
11.294 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
11.294 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
11.294 * [taylor]: Taking taylor expansion of re in im
11.294 * [backup-simplify]: Simplify re into re
11.294 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
11.294 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
11.294 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.294 * [taylor]: Taking taylor expansion of re in im
11.294 * [backup-simplify]: Simplify re into re
11.294 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.294 * [taylor]: Taking taylor expansion of im in im
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 1 into 1
11.294 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.294 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.295 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.295 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.295 * [backup-simplify]: Simplify (+ 0 0) into 0
11.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.295 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
11.295 * [taylor]: Taking taylor expansion of re in re
11.295 * [backup-simplify]: Simplify 0 into 0
11.295 * [backup-simplify]: Simplify 1 into 1
11.295 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.295 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.295 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.295 * [taylor]: Taking taylor expansion of re in re
11.295 * [backup-simplify]: Simplify 0 into 0
11.295 * [backup-simplify]: Simplify 1 into 1
11.295 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.295 * [taylor]: Taking taylor expansion of im in re
11.295 * [backup-simplify]: Simplify im into im
11.295 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.295 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.295 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.295 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.296 * [backup-simplify]: Simplify (+ 0 0) into 0
11.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.296 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
11.296 * [taylor]: Taking taylor expansion of re in re
11.296 * [backup-simplify]: Simplify 0 into 0
11.296 * [backup-simplify]: Simplify 1 into 1
11.296 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.296 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.296 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.296 * [taylor]: Taking taylor expansion of re in re
11.296 * [backup-simplify]: Simplify 0 into 0
11.296 * [backup-simplify]: Simplify 1 into 1
11.296 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.296 * [taylor]: Taking taylor expansion of im in re
11.296 * [backup-simplify]: Simplify im into im
11.296 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.296 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.296 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.296 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.297 * [backup-simplify]: Simplify (+ 0 0) into 0
11.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.297 * [backup-simplify]: Simplify (+ 0 im) into im
11.297 * [taylor]: Taking taylor expansion of im in im
11.297 * [backup-simplify]: Simplify 0 into 0
11.297 * [backup-simplify]: Simplify 1 into 1
11.297 * [backup-simplify]: Simplify 0 into 0
11.300 * [backup-simplify]: Simplify (+ 1 0) into 1
11.300 * [taylor]: Taking taylor expansion of 1 in im
11.300 * [backup-simplify]: Simplify 1 into 1
11.300 * [backup-simplify]: Simplify 1 into 1
11.300 * [backup-simplify]: Simplify 1 into 1
11.301 * [backup-simplify]: Simplify (* 1 1) into 1
11.301 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.301 * [backup-simplify]: Simplify (+ 1 0) into 1
11.302 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.302 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
11.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
11.302 * [taylor]: Taking taylor expansion of 1/2 in im
11.302 * [backup-simplify]: Simplify 1/2 into 1/2
11.302 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.302 * [taylor]: Taking taylor expansion of im in im
11.302 * [backup-simplify]: Simplify 0 into 0
11.302 * [backup-simplify]: Simplify 1 into 1
11.302 * [backup-simplify]: Simplify (/ 1 1) into 1
11.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.303 * [backup-simplify]: Simplify 0 into 0
11.303 * [backup-simplify]: Simplify 0 into 0
11.303 * [backup-simplify]: Simplify 0 into 0
11.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.304 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.304 * [backup-simplify]: Simplify (+ 0 0) into 0
11.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.305 * [backup-simplify]: Simplify (+ 0 0) into 0
11.305 * [taylor]: Taking taylor expansion of 0 in im
11.305 * [backup-simplify]: Simplify 0 into 0
11.305 * [backup-simplify]: Simplify 0 into 0
11.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.306 * [backup-simplify]: Simplify 0 into 0
11.306 * [backup-simplify]: Simplify 0 into 0
11.306 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
11.306 * [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)))))
11.306 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
11.306 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
11.306 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.306 * [taylor]: Taking taylor expansion of re in im
11.306 * [backup-simplify]: Simplify re into re
11.306 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.306 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.306 * [taylor]: Taking taylor expansion of im in im
11.306 * [backup-simplify]: Simplify 0 into 0
11.306 * [backup-simplify]: Simplify 1 into 1
11.307 * [backup-simplify]: Simplify (* 1 1) into 1
11.307 * [backup-simplify]: Simplify (/ 1 1) into 1
11.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.307 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.307 * [taylor]: Taking taylor expansion of re in im
11.307 * [backup-simplify]: Simplify re into re
11.307 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.307 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.307 * [backup-simplify]: Simplify (+ 1 0) into 1
11.308 * [backup-simplify]: Simplify (sqrt 1) into 1
11.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.309 * [backup-simplify]: Simplify (+ 0 0) into 0
11.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.309 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.309 * [taylor]: Taking taylor expansion of re in re
11.309 * [backup-simplify]: Simplify 0 into 0
11.309 * [backup-simplify]: Simplify 1 into 1
11.309 * [backup-simplify]: Simplify (/ 1 1) into 1
11.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.309 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.310 * [taylor]: Taking taylor expansion of im in re
11.310 * [backup-simplify]: Simplify im into im
11.310 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.310 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.310 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.310 * [taylor]: Taking taylor expansion of re in re
11.310 * [backup-simplify]: Simplify 0 into 0
11.310 * [backup-simplify]: Simplify 1 into 1
11.310 * [backup-simplify]: Simplify (* 1 1) into 1
11.310 * [backup-simplify]: Simplify (/ 1 1) into 1
11.311 * [backup-simplify]: Simplify (+ 0 1) into 1
11.311 * [backup-simplify]: Simplify (sqrt 1) into 1
11.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.312 * [backup-simplify]: Simplify (+ 0 0) into 0
11.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.312 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.312 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.312 * [taylor]: Taking taylor expansion of re in re
11.312 * [backup-simplify]: Simplify 0 into 0
11.312 * [backup-simplify]: Simplify 1 into 1
11.313 * [backup-simplify]: Simplify (/ 1 1) into 1
11.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.313 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.313 * [taylor]: Taking taylor expansion of im in re
11.313 * [backup-simplify]: Simplify im into im
11.313 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.313 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.313 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.313 * [taylor]: Taking taylor expansion of re in re
11.313 * [backup-simplify]: Simplify 0 into 0
11.313 * [backup-simplify]: Simplify 1 into 1
11.313 * [backup-simplify]: Simplify (* 1 1) into 1
11.313 * [backup-simplify]: Simplify (/ 1 1) into 1
11.314 * [backup-simplify]: Simplify (+ 0 1) into 1
11.314 * [backup-simplify]: Simplify (sqrt 1) into 1
11.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.315 * [backup-simplify]: Simplify (+ 0 0) into 0
11.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.316 * [backup-simplify]: Simplify (+ 1 1) into 2
11.316 * [taylor]: Taking taylor expansion of 2 in im
11.316 * [backup-simplify]: Simplify 2 into 2
11.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.316 * [backup-simplify]: Simplify (+ 0 0) into 0
11.316 * [taylor]: Taking taylor expansion of 0 in im
11.316 * [backup-simplify]: Simplify 0 into 0
11.316 * [backup-simplify]: Simplify 2 into 2
11.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.318 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.319 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.319 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
11.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.319 * [taylor]: Taking taylor expansion of 1/2 in im
11.319 * [backup-simplify]: Simplify 1/2 into 1/2
11.319 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.319 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.319 * [taylor]: Taking taylor expansion of im in im
11.319 * [backup-simplify]: Simplify 0 into 0
11.319 * [backup-simplify]: Simplify 1 into 1
11.320 * [backup-simplify]: Simplify (* 1 1) into 1
11.320 * [backup-simplify]: Simplify (/ 1 1) into 1
11.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.321 * [backup-simplify]: Simplify 0 into 0
11.321 * [backup-simplify]: Simplify 0 into 0
11.321 * [backup-simplify]: Simplify 0 into 0
11.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.322 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.325 * [backup-simplify]: Simplify (+ 0 0) into 0
11.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.326 * [backup-simplify]: Simplify (+ 0 0) into 0
11.326 * [taylor]: Taking taylor expansion of 0 in im
11.326 * [backup-simplify]: Simplify 0 into 0
11.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.329 * [backup-simplify]: Simplify 0 into 0
11.329 * [backup-simplify]: Simplify 0 into 0
11.329 * [backup-simplify]: Simplify 0 into 0
11.329 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
11.330 * [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))
11.331 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
11.331 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
11.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.331 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.331 * [taylor]: Taking taylor expansion of im in im
11.331 * [backup-simplify]: Simplify 0 into 0
11.331 * [backup-simplify]: Simplify 1 into 1
11.331 * [backup-simplify]: Simplify (* 1 1) into 1
11.332 * [backup-simplify]: Simplify (/ 1 1) into 1
11.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.332 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.332 * [taylor]: Taking taylor expansion of re in im
11.332 * [backup-simplify]: Simplify re into re
11.332 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.332 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.332 * [backup-simplify]: Simplify (+ 1 0) into 1
11.333 * [backup-simplify]: Simplify (sqrt 1) into 1
11.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.334 * [backup-simplify]: Simplify (+ 0 0) into 0
11.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.335 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.335 * [taylor]: Taking taylor expansion of re in im
11.335 * [backup-simplify]: Simplify re into re
11.335 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.335 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.335 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.335 * [taylor]: Taking taylor expansion of im in re
11.336 * [backup-simplify]: Simplify im into im
11.336 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.336 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.336 * [taylor]: Taking taylor expansion of re in re
11.336 * [backup-simplify]: Simplify 0 into 0
11.336 * [backup-simplify]: Simplify 1 into 1
11.336 * [backup-simplify]: Simplify (* 1 1) into 1
11.337 * [backup-simplify]: Simplify (/ 1 1) into 1
11.337 * [backup-simplify]: Simplify (+ 0 1) into 1
11.337 * [backup-simplify]: Simplify (sqrt 1) into 1
11.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.339 * [backup-simplify]: Simplify (+ 0 0) into 0
11.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.340 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.340 * [taylor]: Taking taylor expansion of re in re
11.340 * [backup-simplify]: Simplify 0 into 0
11.340 * [backup-simplify]: Simplify 1 into 1
11.340 * [backup-simplify]: Simplify (/ 1 1) into 1
11.340 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.340 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.340 * [taylor]: Taking taylor expansion of im in re
11.341 * [backup-simplify]: Simplify im into im
11.341 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.341 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.341 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.341 * [taylor]: Taking taylor expansion of re in re
11.341 * [backup-simplify]: Simplify 0 into 0
11.341 * [backup-simplify]: Simplify 1 into 1
11.341 * [backup-simplify]: Simplify (* 1 1) into 1
11.342 * [backup-simplify]: Simplify (/ 1 1) into 1
11.342 * [backup-simplify]: Simplify (+ 0 1) into 1
11.342 * [backup-simplify]: Simplify (sqrt 1) into 1
11.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.344 * [backup-simplify]: Simplify (+ 0 0) into 0
11.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.345 * [taylor]: Taking taylor expansion of re in re
11.345 * [backup-simplify]: Simplify 0 into 0
11.345 * [backup-simplify]: Simplify 1 into 1
11.345 * [backup-simplify]: Simplify (/ 1 1) into 1
11.346 * [backup-simplify]: Simplify (- 1) into -1
11.346 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.346 * [taylor]: Taking taylor expansion of 0 in im
11.346 * [backup-simplify]: Simplify 0 into 0
11.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.347 * [backup-simplify]: Simplify (- 0) into 0
11.348 * [backup-simplify]: Simplify (+ 0 0) into 0
11.348 * [taylor]: Taking taylor expansion of 0 in im
11.348 * [backup-simplify]: Simplify 0 into 0
11.348 * [backup-simplify]: Simplify 0 into 0
11.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.350 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.351 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.352 * [backup-simplify]: Simplify (- 0) into 0
11.353 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.353 * [taylor]: Taking taylor expansion of 1/2 in im
11.353 * [backup-simplify]: Simplify 1/2 into 1/2
11.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.353 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.353 * [taylor]: Taking taylor expansion of im in im
11.353 * [backup-simplify]: Simplify 0 into 0
11.353 * [backup-simplify]: Simplify 1 into 1
11.353 * [backup-simplify]: Simplify (* 1 1) into 1
11.354 * [backup-simplify]: Simplify (/ 1 1) into 1
11.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.356 * [backup-simplify]: Simplify 0 into 0
11.356 * [backup-simplify]: Simplify 0 into 0
11.356 * [backup-simplify]: Simplify 0 into 0
11.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.359 * [backup-simplify]: Simplify (+ 0 0) into 0
11.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.361 * [backup-simplify]: Simplify (- 0) into 0
11.361 * [backup-simplify]: Simplify (+ 0 0) into 0
11.361 * [taylor]: Taking taylor expansion of 0 in im
11.361 * [backup-simplify]: Simplify 0 into 0
11.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.364 * [backup-simplify]: Simplify 0 into 0
11.364 * [backup-simplify]: Simplify 0 into 0
11.364 * [backup-simplify]: Simplify 0 into 0
11.364 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
11.365 * [backup-simplify]: Simplify (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))))
11.365 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
11.365 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
11.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.365 * [taylor]: Taking taylor expansion of 2.0 in im
11.365 * [backup-simplify]: Simplify 2.0 into 2.0
11.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.366 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
11.367 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
11.367 * [taylor]: Taking taylor expansion of re in im
11.367 * [backup-simplify]: Simplify re into re
11.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
11.367 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
11.367 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.367 * [taylor]: Taking taylor expansion of re in im
11.367 * [backup-simplify]: Simplify re into re
11.367 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.367 * [taylor]: Taking taylor expansion of im in im
11.367 * [backup-simplify]: Simplify 0 into 0
11.367 * [backup-simplify]: Simplify 1 into 1
11.367 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.367 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.367 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.367 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.368 * [backup-simplify]: Simplify (+ 0 0) into 0
11.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.368 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
11.368 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
11.368 * [backup-simplify]: Simplify (+ 0 0) into 0
11.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
11.369 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
11.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.369 * [taylor]: Taking taylor expansion of 2.0 in re
11.369 * [backup-simplify]: Simplify 2.0 into 2.0
11.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.369 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
11.369 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
11.369 * [taylor]: Taking taylor expansion of re in re
11.369 * [backup-simplify]: Simplify 0 into 0
11.369 * [backup-simplify]: Simplify 1 into 1
11.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.369 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.369 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.370 * [taylor]: Taking taylor expansion of re in re
11.370 * [backup-simplify]: Simplify 0 into 0
11.370 * [backup-simplify]: Simplify 1 into 1
11.370 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.370 * [taylor]: Taking taylor expansion of im in re
11.370 * [backup-simplify]: Simplify im into im
11.370 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.370 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.370 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.370 * [backup-simplify]: Simplify (+ 0 0) into 0
11.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.370 * [backup-simplify]: Simplify (+ 0 im) into im
11.370 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
11.371 * [backup-simplify]: Simplify (+ 1 0) into 1
11.371 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
11.371 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
11.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.371 * [taylor]: Taking taylor expansion of 2.0 in re
11.371 * [backup-simplify]: Simplify 2.0 into 2.0
11.371 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.371 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
11.371 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
11.371 * [taylor]: Taking taylor expansion of re in re
11.371 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify 1 into 1
11.371 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.372 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.372 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.372 * [taylor]: Taking taylor expansion of re in re
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify 1 into 1
11.372 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.372 * [taylor]: Taking taylor expansion of im in re
11.372 * [backup-simplify]: Simplify im into im
11.372 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.372 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.372 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.372 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.372 * [backup-simplify]: Simplify (+ 0 0) into 0
11.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.372 * [backup-simplify]: Simplify (+ 0 im) into im
11.372 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
11.373 * [backup-simplify]: Simplify (+ 1 0) into 1
11.373 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
11.373 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
11.373 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
11.373 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.373 * [taylor]: Taking taylor expansion of 2.0 in im
11.373 * [backup-simplify]: Simplify 2.0 into 2.0
11.373 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.374 * [taylor]: Taking taylor expansion of (sqrt im) in im
11.374 * [taylor]: Taking taylor expansion of im in im
11.374 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify 1 into 1
11.374 * [backup-simplify]: Simplify (sqrt 0) into 0
11.375 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.375 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.375 * [backup-simplify]: Simplify 0 into 0
11.376 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
11.376 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
11.376 * [taylor]: Taking taylor expansion of 1/2 in im
11.376 * [backup-simplify]: Simplify 1/2 into 1/2
11.376 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
11.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.376 * [taylor]: Taking taylor expansion of 2.0 in im
11.376 * [backup-simplify]: Simplify 2.0 into 2.0
11.376 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
11.377 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.377 * [taylor]: Taking taylor expansion of im in im
11.377 * [backup-simplify]: Simplify 0 into 0
11.377 * [backup-simplify]: Simplify 1 into 1
11.377 * [backup-simplify]: Simplify (/ 1 1) into 1
11.377 * [backup-simplify]: Simplify (sqrt 0) into 0
11.378 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.379 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
11.379 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.382 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
11.383 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.384 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
11.385 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.385 * [backup-simplify]: Simplify (* 1 1) into 1
11.386 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.386 * [backup-simplify]: Simplify (+ 1 0) into 1
11.386 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.386 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
11.387 * [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))))
11.387 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.388 * [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)))))
11.388 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
11.388 * [taylor]: Taking taylor expansion of 1/8 in im
11.388 * [backup-simplify]: Simplify 1/8 into 1/8
11.388 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
11.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.388 * [taylor]: Taking taylor expansion of 2.0 in im
11.388 * [backup-simplify]: Simplify 2.0 into 2.0
11.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
11.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
11.389 * [taylor]: Taking taylor expansion of (pow im 3) in im
11.389 * [taylor]: Taking taylor expansion of im in im
11.389 * [backup-simplify]: Simplify 0 into 0
11.389 * [backup-simplify]: Simplify 1 into 1
11.389 * [backup-simplify]: Simplify (* 1 1) into 1
11.389 * [backup-simplify]: Simplify (* 1 1) into 1
11.390 * [backup-simplify]: Simplify (/ 1 1) into 1
11.390 * [backup-simplify]: Simplify (sqrt 0) into 0
11.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.394 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.394 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.396 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
11.397 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
11.397 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.400 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
11.401 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.404 * [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)))))))
11.405 * [backup-simplify]: Simplify (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (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)))))))
11.405 * [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
11.405 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
11.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.405 * [taylor]: Taking taylor expansion of 2.0 in im
11.405 * [backup-simplify]: Simplify 2.0 into 2.0
11.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
11.406 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
11.406 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.406 * [taylor]: Taking taylor expansion of re in im
11.406 * [backup-simplify]: Simplify re into re
11.406 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.406 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.406 * [taylor]: Taking taylor expansion of im in im
11.406 * [backup-simplify]: Simplify 0 into 0
11.406 * [backup-simplify]: Simplify 1 into 1
11.406 * [backup-simplify]: Simplify (* 1 1) into 1
11.406 * [backup-simplify]: Simplify (/ 1 1) into 1
11.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.406 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.406 * [taylor]: Taking taylor expansion of re in im
11.406 * [backup-simplify]: Simplify re into re
11.406 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.406 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.407 * [backup-simplify]: Simplify (+ 1 0) into 1
11.407 * [backup-simplify]: Simplify (sqrt 1) into 1
11.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.411 * [backup-simplify]: Simplify (+ 0 0) into 0
11.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.412 * [backup-simplify]: Simplify (+ 0 1) into 1
11.412 * [backup-simplify]: Simplify (sqrt 0) into 0
11.413 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.413 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
11.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.413 * [taylor]: Taking taylor expansion of 2.0 in re
11.413 * [backup-simplify]: Simplify 2.0 into 2.0
11.413 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
11.414 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.414 * [taylor]: Taking taylor expansion of re in re
11.414 * [backup-simplify]: Simplify 0 into 0
11.414 * [backup-simplify]: Simplify 1 into 1
11.414 * [backup-simplify]: Simplify (/ 1 1) into 1
11.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.414 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.414 * [taylor]: Taking taylor expansion of im in re
11.414 * [backup-simplify]: Simplify im into im
11.414 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.415 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.415 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.415 * [taylor]: Taking taylor expansion of re in re
11.415 * [backup-simplify]: Simplify 0 into 0
11.415 * [backup-simplify]: Simplify 1 into 1
11.415 * [backup-simplify]: Simplify (* 1 1) into 1
11.415 * [backup-simplify]: Simplify (/ 1 1) into 1
11.415 * [backup-simplify]: Simplify (+ 0 1) into 1
11.416 * [backup-simplify]: Simplify (sqrt 1) into 1
11.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.417 * [backup-simplify]: Simplify (+ 0 0) into 0
11.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.418 * [backup-simplify]: Simplify (+ 1 1) into 2
11.418 * [backup-simplify]: Simplify (sqrt 0) into 0
11.420 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
11.420 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
11.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.420 * [taylor]: Taking taylor expansion of 2.0 in re
11.420 * [backup-simplify]: Simplify 2.0 into 2.0
11.420 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
11.421 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.421 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.421 * [taylor]: Taking taylor expansion of re in re
11.421 * [backup-simplify]: Simplify 0 into 0
11.421 * [backup-simplify]: Simplify 1 into 1
11.421 * [backup-simplify]: Simplify (/ 1 1) into 1
11.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.422 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.422 * [taylor]: Taking taylor expansion of im in re
11.422 * [backup-simplify]: Simplify im into im
11.422 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.422 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.422 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.422 * [taylor]: Taking taylor expansion of re in re
11.422 * [backup-simplify]: Simplify 0 into 0
11.422 * [backup-simplify]: Simplify 1 into 1
11.422 * [backup-simplify]: Simplify (* 1 1) into 1
11.423 * [backup-simplify]: Simplify (/ 1 1) into 1
11.423 * [backup-simplify]: Simplify (+ 0 1) into 1
11.424 * [backup-simplify]: Simplify (sqrt 1) into 1
11.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.425 * [backup-simplify]: Simplify (+ 0 0) into 0
11.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.426 * [backup-simplify]: Simplify (+ 1 1) into 2
11.427 * [backup-simplify]: Simplify (sqrt 0) into 0
11.428 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
11.429 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.429 * [taylor]: Taking taylor expansion of 0 in im
11.429 * [backup-simplify]: Simplify 0 into 0
11.431 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
11.431 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
11.431 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
11.431 * [taylor]: Taking taylor expansion of +nan.0 in im
11.432 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.432 * [taylor]: Taking taylor expansion of 2.0 in im
11.432 * [backup-simplify]: Simplify 2.0 into 2.0
11.432 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.433 * [backup-simplify]: Simplify 0 into 0
11.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.434 * [backup-simplify]: Simplify (+ 0 0) into 0
11.437 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.441 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
11.441 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
11.441 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
11.441 * [taylor]: Taking taylor expansion of +nan.0 in im
11.441 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.441 * [taylor]: Taking taylor expansion of 2.0 in im
11.441 * [backup-simplify]: Simplify 2.0 into 2.0
11.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.444 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
11.445 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.447 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.447 * [backup-simplify]: Simplify 0 into 0
11.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.450 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.451 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.451 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
11.453 * [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))
11.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.456 * [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)))))
11.456 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
11.456 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
11.456 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
11.456 * [taylor]: Taking taylor expansion of +nan.0 in im
11.456 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.456 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
11.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.456 * [taylor]: Taking taylor expansion of 2.0 in im
11.456 * [backup-simplify]: Simplify 2.0 into 2.0
11.457 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.458 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.458 * [taylor]: Taking taylor expansion of im in im
11.458 * [backup-simplify]: Simplify 0 into 0
11.458 * [backup-simplify]: Simplify 1 into 1
11.458 * [backup-simplify]: Simplify (* 1 1) into 1
11.459 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.459 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
11.459 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
11.459 * [taylor]: Taking taylor expansion of +nan.0 in im
11.459 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.459 * [taylor]: Taking taylor expansion of 2.0 in im
11.459 * [backup-simplify]: Simplify 2.0 into 2.0
11.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.463 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
11.463 * [backup-simplify]: Simplify (+ 0 0) into 0
11.464 * [backup-simplify]: Simplify (- 0) into 0
11.464 * [backup-simplify]: Simplify 0 into 0
11.465 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
11.466 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.468 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.469 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
11.469 * [backup-simplify]: Simplify (- 0) into 0
11.469 * [backup-simplify]: Simplify 0 into 0
11.469 * [backup-simplify]: Simplify 0 into 0
11.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.473 * [backup-simplify]: Simplify (+ 0 0) into 0
11.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.474 * [backup-simplify]: Simplify (+ 0 0) into 0
11.476 * [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)))
11.477 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.479 * [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)))))
11.480 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
11.480 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
11.480 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
11.480 * [taylor]: Taking taylor expansion of +nan.0 in im
11.480 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.480 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
11.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.480 * [taylor]: Taking taylor expansion of 2.0 in im
11.480 * [backup-simplify]: Simplify 2.0 into 2.0
11.480 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.481 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.481 * [taylor]: Taking taylor expansion of im in im
11.481 * [backup-simplify]: Simplify 0 into 0
11.481 * [backup-simplify]: Simplify 1 into 1
11.481 * [backup-simplify]: Simplify (* 1 1) into 1
11.482 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.482 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
11.482 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
11.482 * [taylor]: Taking taylor expansion of +nan.0 in im
11.482 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.482 * [taylor]: Taking taylor expansion of 2.0 in im
11.482 * [backup-simplify]: Simplify 2.0 into 2.0
11.482 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.484 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
11.484 * [backup-simplify]: Simplify (+ 0 0) into 0
11.484 * [backup-simplify]: Simplify (- 0) into 0
11.484 * [backup-simplify]: Simplify 0 into 0
11.485 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.487 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
11.487 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
11.488 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.490 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
11.491 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
11.492 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
11.495 * [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)))))))
11.495 * [backup-simplify]: Simplify (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (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))))
11.495 * [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
11.495 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
11.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.495 * [taylor]: Taking taylor expansion of 2.0 in im
11.495 * [backup-simplify]: Simplify 2.0 into 2.0
11.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.496 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
11.496 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
11.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.496 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.496 * [taylor]: Taking taylor expansion of im in im
11.496 * [backup-simplify]: Simplify 0 into 0
11.496 * [backup-simplify]: Simplify 1 into 1
11.497 * [backup-simplify]: Simplify (* 1 1) into 1
11.497 * [backup-simplify]: Simplify (/ 1 1) into 1
11.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.497 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.497 * [taylor]: Taking taylor expansion of re in im
11.497 * [backup-simplify]: Simplify re into re
11.497 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.497 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.497 * [backup-simplify]: Simplify (+ 1 0) into 1
11.498 * [backup-simplify]: Simplify (sqrt 1) into 1
11.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.499 * [backup-simplify]: Simplify (+ 0 0) into 0
11.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.499 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.499 * [taylor]: Taking taylor expansion of re in im
11.499 * [backup-simplify]: Simplify re into re
11.499 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.499 * [backup-simplify]: Simplify (+ 1 0) into 1
11.500 * [backup-simplify]: Simplify (sqrt 0) into 0
11.500 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.500 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
11.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.500 * [taylor]: Taking taylor expansion of 2.0 in re
11.501 * [backup-simplify]: Simplify 2.0 into 2.0
11.501 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.501 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
11.501 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.501 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.501 * [taylor]: Taking taylor expansion of im in re
11.501 * [backup-simplify]: Simplify im into im
11.501 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.502 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.502 * [taylor]: Taking taylor expansion of re in re
11.502 * [backup-simplify]: Simplify 0 into 0
11.502 * [backup-simplify]: Simplify 1 into 1
11.502 * [backup-simplify]: Simplify (* 1 1) into 1
11.502 * [backup-simplify]: Simplify (/ 1 1) into 1
11.502 * [backup-simplify]: Simplify (+ 0 1) into 1
11.503 * [backup-simplify]: Simplify (sqrt 1) into 1
11.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.504 * [backup-simplify]: Simplify (+ 0 0) into 0
11.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.504 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.504 * [taylor]: Taking taylor expansion of re in re
11.504 * [backup-simplify]: Simplify 0 into 0
11.504 * [backup-simplify]: Simplify 1 into 1
11.504 * [backup-simplify]: Simplify (/ 1 1) into 1
11.504 * [backup-simplify]: Simplify (- 1) into -1
11.505 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.505 * [backup-simplify]: Simplify (- 0) into 0
11.506 * [backup-simplify]: Simplify (+ 0 0) into 0
11.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.507 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.508 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.508 * [backup-simplify]: Simplify (- 0) into 0
11.508 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.509 * [backup-simplify]: Simplify (sqrt 0) into 0
11.509 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
11.509 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
11.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
11.509 * [taylor]: Taking taylor expansion of 2.0 in re
11.509 * [backup-simplify]: Simplify 2.0 into 2.0
11.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.510 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
11.510 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.510 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.510 * [taylor]: Taking taylor expansion of im in re
11.510 * [backup-simplify]: Simplify im into im
11.510 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.510 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.510 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.510 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.510 * [taylor]: Taking taylor expansion of re in re
11.510 * [backup-simplify]: Simplify 0 into 0
11.510 * [backup-simplify]: Simplify 1 into 1
11.510 * [backup-simplify]: Simplify (* 1 1) into 1
11.511 * [backup-simplify]: Simplify (/ 1 1) into 1
11.511 * [backup-simplify]: Simplify (+ 0 1) into 1
11.511 * [backup-simplify]: Simplify (sqrt 1) into 1
11.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.512 * [backup-simplify]: Simplify (+ 0 0) into 0
11.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.513 * [taylor]: Taking taylor expansion of re in re
11.513 * [backup-simplify]: Simplify 0 into 0
11.513 * [backup-simplify]: Simplify 1 into 1
11.513 * [backup-simplify]: Simplify (/ 1 1) into 1
11.514 * [backup-simplify]: Simplify (- 1) into -1
11.514 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.515 * [backup-simplify]: Simplify (- 0) into 0
11.515 * [backup-simplify]: Simplify (+ 0 0) into 0
11.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.518 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.519 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.520 * [backup-simplify]: Simplify (- 0) into 0
11.521 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.521 * [backup-simplify]: Simplify (sqrt 0) into 0
11.522 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
11.522 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
11.522 * [taylor]: Taking taylor expansion of 0 in im
11.522 * [backup-simplify]: Simplify 0 into 0
11.523 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
11.524 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
11.524 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
11.524 * [taylor]: Taking taylor expansion of +nan.0 in im
11.524 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.524 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
11.524 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.524 * [taylor]: Taking taylor expansion of 2.0 in im
11.524 * [backup-simplify]: Simplify 2.0 into 2.0
11.524 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.525 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.525 * [taylor]: Taking taylor expansion of im in im
11.525 * [backup-simplify]: Simplify 0 into 0
11.525 * [backup-simplify]: Simplify 1 into 1
11.525 * [backup-simplify]: Simplify (* 1 1) into 1
11.526 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.529 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
11.529 * [backup-simplify]: Simplify (- 0) into 0
11.529 * [backup-simplify]: Simplify 0 into 0
11.529 * [backup-simplify]: Simplify 0 into 0
11.530 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.532 * [backup-simplify]: Simplify (+ 0 0) into 0
11.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.539 * [backup-simplify]: Simplify (- 0) into 0
11.540 * [backup-simplify]: Simplify (+ 0 0) into 0
11.541 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
11.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.544 * [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))))
11.544 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
11.544 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
11.544 * [taylor]: Taking taylor expansion of +nan.0 in im
11.544 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.544 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
11.544 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.544 * [taylor]: Taking taylor expansion of 2.0 in im
11.544 * [backup-simplify]: Simplify 2.0 into 2.0
11.544 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.545 * [taylor]: Taking taylor expansion of (pow im 4) in im
11.545 * [taylor]: Taking taylor expansion of im in im
11.545 * [backup-simplify]: Simplify 0 into 0
11.545 * [backup-simplify]: Simplify 1 into 1
11.545 * [backup-simplify]: Simplify (* 1 1) into 1
11.546 * [backup-simplify]: Simplify (* 1 1) into 1
11.547 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.548 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.559 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
11.560 * [backup-simplify]: Simplify (- 0) into 0
11.560 * [backup-simplify]: Simplify 0 into 0
11.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.564 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
11.564 * [backup-simplify]: Simplify (- 0) into 0
11.564 * [backup-simplify]: Simplify 0 into 0
11.565 * [backup-simplify]: Simplify 0 into 0
11.565 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
11.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.568 * [backup-simplify]: Simplify (+ 0 0) into 0
11.569 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
11.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.571 * [backup-simplify]: Simplify (- 0) into 0
11.571 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
11.572 * [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))))))
11.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.575 * [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))))))
11.575 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
11.575 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
11.575 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
11.575 * [taylor]: Taking taylor expansion of +nan.0 in im
11.576 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.576 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
11.576 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.576 * [taylor]: Taking taylor expansion of 2.0 in im
11.576 * [backup-simplify]: Simplify 2.0 into 2.0
11.576 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.577 * [taylor]: Taking taylor expansion of (pow im 4) in im
11.577 * [taylor]: Taking taylor expansion of im in im
11.577 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify 1 into 1
11.577 * [backup-simplify]: Simplify (* 1 1) into 1
11.578 * [backup-simplify]: Simplify (* 1 1) into 1
11.578 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.579 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
11.579 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
11.579 * [taylor]: Taking taylor expansion of +nan.0 in im
11.579 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.579 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
11.579 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.579 * [taylor]: Taking taylor expansion of 2.0 in im
11.579 * [backup-simplify]: Simplify 2.0 into 2.0
11.579 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.580 * [taylor]: Taking taylor expansion of (pow im 6) in im
11.580 * [taylor]: Taking taylor expansion of im in im
11.580 * [backup-simplify]: Simplify 0 into 0
11.580 * [backup-simplify]: Simplify 1 into 1
11.580 * [backup-simplify]: Simplify (* 1 1) into 1
11.581 * [backup-simplify]: Simplify (* 1 1) into 1
11.581 * [backup-simplify]: Simplify (* 1 1) into 1
11.582 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.594 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
11.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.598 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.621 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
11.621 * [backup-simplify]: Simplify (- 0) into 0
11.622 * [backup-simplify]: Simplify (+ 0 0) into 0
11.622 * [backup-simplify]: Simplify (- 0) into 0
11.622 * [backup-simplify]: Simplify 0 into 0
11.622 * [backup-simplify]: Simplify 0 into 0
11.622 * * * [progress]: simplifying candidates
11.623 * [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)
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))
  (exp (sqrt (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))
  (exp (log (cbrt (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))
  (exp (log (sqrt 2.0)))
  (exp (log (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log (sqrt (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))
  (exp (log (sqrt (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))
  (exp (log 1))
  (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (log (sqrt (* 2.0 (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))))))
  (exp (log (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)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))
  (exp (log (sqrt (* 2.0 (- (* (* (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))))))
  (exp (log (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (log (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))
  (exp (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))
  (* (cbrt (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))) (cbrt (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))
  (cbrt (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))
  (* (* (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))) (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))
  (sqrt (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))
  (sqrt (exp (log (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))
  im
  re
  (* -1 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
11.625 * * [simplify]: Extracting # 0 : cost  0
11.625 * * [simplify]: Extracting # 1 : cost  0
11.625 * * [simplify]: Extracting # 2 : cost  0
11.625 * * [simplify]: Extracting # 3 : cost  0
11.626 * * [simplify]: Extracting # 4 : cost  0
11.626 * * [simplify]: Extracting # 5 : cost  0
11.626 * * [simplify]: Extracting # 6 : cost  0
11.626 * * [simplify]: Extracting # 7 : cost  0
11.626 * * [simplify]: Extracting # 8 : cost  0
11.626 * * [simplify]: Extracting # 9 : cost  0
11.626 * * [simplify]: Extracting # 10 : cost  0
11.627 * * [simplify]: Extracting # 11 : cost  0
11.627 * * [simplify]: Extracting # 12 : cost  0
11.627 * * [simplify]: Extracting # 13 : cost  0
11.627 * * [simplify]: iteration  0 :  136  enodes  (cost  1605 )
11.657 * * [simplify]: Extracting # 0 : cost  0
11.658 * * [simplify]: Extracting # 1 : cost  0
11.658 * * [simplify]: Extracting # 2 : cost  0
11.658 * * [simplify]: Extracting # 3 : cost  0
11.659 * * [simplify]: Extracting # 4 : cost  0
11.659 * * [simplify]: Extracting # 5 : cost  0
11.659 * * [simplify]: Extracting # 6 : cost  0
11.660 * * [simplify]: iteration  1 :  297  enodes  (cost  937 )
11.817 * * [simplify]: Extracting # 0 : cost  0
11.818 * * [simplify]: Extracting # 1 : cost  0
11.820 * * [simplify]: Extracting # 2 : cost  0
11.821 * * [simplify]: Extracting # 3 : cost  0
11.823 * * [simplify]: Extracting # 4 : cost  0
11.825 * * [simplify]: iteration  2 :  730  enodes  (cost  842 )
12.193 * * [simplify]: Extracting # 0 : cost  0
12.198 * * [simplify]: Extracting # 1 : cost  0
12.202 * * [simplify]: Extracting # 2 : cost  0
12.205 * * [simplify]: Extracting # 3 : cost  0
12.210 * * [simplify]: Extracting # 4 : cost  0
12.213 * * [simplify]: iteration  3 :  1874  enodes  (cost  813 )
13.551 * * [simplify]: Extracting # 0 : cost  0
13.561 * * [simplify]: Extracting # 1 : cost  0
13.566 * * [simplify]: Extracting # 2 : cost  0
13.572 * * [simplify]: Extracting # 3 : cost  0
13.577 * * [simplify]: Extracting # 4 : cost  0
13.593 * * [simplify]: iteration done:  5001  enodes  (cost  804 )
13.594 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (pow (+ re (sqrt (+ (* re re) (* im im)))) 3)
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (exp 1/2)
  E
  (exp 1/2)
  (exp 1/2)
  (exp (* (cbrt (log (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))) (cbrt (log (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))))))
  (exp (sqrt (log (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))))
  E
  (pow (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) 2)
  (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))
  (sqrt 2.0)
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))
  (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))
  1
  (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) 2.0))
  (sqrt (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re))))
  (sqrt (* 2.0 (* im im)))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (log (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))
  (pow (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))) 2)
  (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))
  (pow (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))) 3)
  (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))
  (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im)))))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  (* (* (sqrt 2.0) +nan.0) (- (- im re) (* re re)))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
  0
13.595 * * * [progress]: adding candidates to table
13.918 * [progress]: [Phase 3 of 3] Extracting.
13.918 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (pow (exp 1/2) (log (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
13.921 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) im re)
13.921 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (pow (exp 1/2) (log (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.014 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (pow (exp 1/2) (log (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.068 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (pow (exp 1/2) (log (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.156 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.180 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (pow (exp 1/2) (log (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.243 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.276 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (pow (exp 1/2) (log (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.341 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.381 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (pow (exp 1/2) (log (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.509 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (pow (exp 1/2) (log (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.568 * * * [regime]: Found split indices: #<option (#s(si 5 121) #s(si 6 205) #s(si 1 255))>
14.569 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (pow (exp 1/2) (log (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.693 * [regimes]: Found splitpoints: (#s(sp 5 re -2.552067448335498e-308) #s(sp 6 re 1.3149636495056428e+66) #s(sp 1 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (pow (exp 1/2) (log (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
14.693 * [simplify]: Simplifying:
  (if (<= re -2.552067448335498e-308) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 1.3149636495056428e+66) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
14.694 * * [simplify]: Extracting # 0 : cost  0
14.694 * * [simplify]: Extracting # 1 : cost  0
14.694 * * [simplify]: Extracting # 2 : cost  0
14.694 * * [simplify]: Extracting # 3 : cost  0
14.694 * * [simplify]: Extracting # 4 : cost  0
14.694 * * [simplify]: Extracting # 5 : cost  0
14.694 * * [simplify]: Extracting # 6 : cost  0
14.694 * * [simplify]: Extracting # 7 : cost  0
14.694 * * [simplify]: Extracting # 8 : cost  0
14.694 * * [simplify]: Extracting # 9 : cost  0
14.694 * * [simplify]: Extracting # 10 : cost  0
14.694 * * [simplify]: Extracting # 11 : cost  0
14.694 * * [simplify]: Extracting # 12 : cost  0
14.695 * * [simplify]: Extracting # 13 : cost  0
14.695 * * [simplify]: Extracting # 14 : cost  0
14.695 * * [simplify]: Extracting # 15 : cost  0
14.695 * * [simplify]: iteration  0 :  30  enodes  (cost  62 )
14.697 * * [simplify]: Extracting # 0 : cost  0
14.698 * * [simplify]: iteration  1 :  38  enodes  (cost  62 )
14.701 * * [simplify]: Extracting # 0 : cost  0
14.701 * * [simplify]: iteration done:  38  enodes  (cost  62 )
14.701 * [simplify]: Simplified to:
  (if (<= re -2.552067448335498e-308) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 1.3149636495056428e+66) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
17.801 * [regime-testing]: Baseline error score: 39.05028359711178
17.806 * [regime-testing]: Oracle error score: 17.336894754462975
17.816 * [regime-testing]: End program error score: 26.336434051728173
17.887 * [regime-testing]: Target error score: 34.01551302595014