23.070 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.060 * * * [progress]: [2/2] Setting up program.
0.064 * [progress]: [Phase 2 of 3] Improving.
0.065 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.065 * * [simplify]: Extracting # 0 : cost  0
0.065 * * [simplify]: Extracting # 1 : cost  0
0.065 * * [simplify]: Extracting # 2 : cost  0
0.065 * * [simplify]: Extracting # 3 : cost  0
0.065 * * [simplify]: Extracting # 4 : cost  0
0.065 * * [simplify]: Extracting # 5 : cost  0
0.065 * * [simplify]: Extracting # 6 : cost  0
0.065 * * [simplify]: Extracting # 7 : cost  0
0.065 * * [simplify]: Extracting # 8 : cost  0
0.065 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.067 * * [simplify]: Extracting # 0 : cost  0
0.067 * * [simplify]: Extracting # 1 : cost  0
0.067 * * [simplify]: Extracting # 2 : cost  0
0.067 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.071 * * [simplify]: Extracting # 0 : cost  0
0.071 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.074 * * [simplify]: Extracting # 0 : cost  0
0.074 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.074 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.074 * * [progress]: iteration 1 / 4
0.075 * * * [progress]: picking best candidate
0.077 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.077 * * * [progress]: localizing error
0.113 * * * [progress]: generating rewritten candidates
0.113 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.131 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.176 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.221 * * * [progress]: generating series expansions
0.221 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.221 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.221 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.221 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.221 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.221 * [taylor]: Taking taylor expansion of re in im
0.221 * [backup-simplify]: Simplify re into re
0.221 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.221 * [taylor]: Taking taylor expansion of im in im
0.221 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.222 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.222 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.222 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.222 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.223 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.223 * [taylor]: Taking taylor expansion of re in re
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.223 * [taylor]: Taking taylor expansion of im in re
0.223 * [backup-simplify]: Simplify im into im
0.223 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.223 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.223 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.223 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.223 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.223 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.223 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.223 * [taylor]: Taking taylor expansion of re in re
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.223 * [taylor]: Taking taylor expansion of im in re
0.223 * [backup-simplify]: Simplify im into im
0.224 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.224 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.224 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.224 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.224 * [taylor]: Taking taylor expansion of im in im
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [taylor]: Taking taylor expansion of 0 in im
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (* 1 1) into 1
0.225 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.225 * [backup-simplify]: Simplify (+ 1 0) into 1
0.226 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.226 * [taylor]: Taking taylor expansion of (/ 1/2 im) 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 im in im
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.228 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.228 * [taylor]: Taking taylor expansion of 0 in im
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.229 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.229 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.229 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.229 * [taylor]: Taking taylor expansion of im in im
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (* 1 1) into 1
0.230 * [backup-simplify]: Simplify (/ 1 1) into 1
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.230 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.230 * [taylor]: Taking taylor expansion of re in im
0.230 * [backup-simplify]: Simplify re into re
0.230 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.230 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.230 * [backup-simplify]: Simplify (+ 1 0) into 1
0.230 * [backup-simplify]: Simplify (sqrt 1) into 1
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.232 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.232 * [taylor]: Taking taylor expansion of im in re
0.232 * [backup-simplify]: Simplify im into im
0.232 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.232 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.232 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.232 * [taylor]: Taking taylor expansion of re in re
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [backup-simplify]: Simplify (+ 0 1) into 1
0.233 * [backup-simplify]: Simplify (sqrt 1) into 1
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify (+ 0 0) into 0
0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.235 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.235 * [taylor]: Taking taylor expansion of im in re
0.235 * [backup-simplify]: Simplify im into im
0.235 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.235 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.235 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.235 * [taylor]: Taking taylor expansion of re in re
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
0.236 * [backup-simplify]: Simplify (/ 1 1) into 1
0.236 * [backup-simplify]: Simplify (+ 0 1) into 1
0.236 * [backup-simplify]: Simplify (sqrt 1) into 1
0.237 * [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
0.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.238 * [taylor]: Taking taylor expansion of 1 in im
0.238 * [backup-simplify]: Simplify 1 into 1
0.238 * [taylor]: Taking taylor expansion of 0 in im
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.240 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.240 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.240 * [taylor]: Taking taylor expansion of 1/2 in im
0.240 * [backup-simplify]: Simplify 1/2 into 1/2
0.240 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.240 * [taylor]: Taking taylor expansion of im in im
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [backup-simplify]: Simplify (* 1 1) into 1
0.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.244 * [taylor]: Taking taylor expansion of 0 in im
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.246 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.246 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.246 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.246 * [taylor]: Taking taylor expansion of im in im
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (* 1 1) into 1
0.247 * [backup-simplify]: Simplify (/ 1 1) into 1
0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.247 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.247 * [taylor]: Taking taylor expansion of re in im
0.247 * [backup-simplify]: Simplify re into re
0.247 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.248 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.248 * [backup-simplify]: Simplify (+ 1 0) into 1
0.248 * [backup-simplify]: Simplify (sqrt 1) into 1
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.251 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.251 * [taylor]: Taking taylor expansion of im in re
0.251 * [backup-simplify]: Simplify im into im
0.251 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.251 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (/ 1 1) into 1
0.253 * [backup-simplify]: Simplify (+ 0 1) into 1
0.253 * [backup-simplify]: Simplify (sqrt 1) into 1
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.256 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.256 * [taylor]: Taking taylor expansion of im in re
0.256 * [backup-simplify]: Simplify im into im
0.256 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.256 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.256 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.256 * [taylor]: Taking taylor expansion of re in re
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (* 1 1) into 1
0.257 * [backup-simplify]: Simplify (/ 1 1) into 1
0.258 * [backup-simplify]: Simplify (+ 0 1) into 1
0.258 * [backup-simplify]: Simplify (sqrt 1) into 1
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.261 * [taylor]: Taking taylor expansion of 1 in im
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [taylor]: Taking taylor expansion of 0 in im
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.264 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.264 * [taylor]: Taking taylor expansion of 1/2 in im
0.264 * [backup-simplify]: Simplify 1/2 into 1/2
0.264 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.264 * [taylor]: Taking taylor expansion of im in im
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (* 1 1) into 1
0.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.271 * [taylor]: Taking taylor expansion of 0 in im
0.271 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.273 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.273 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.273 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.273 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.274 * [taylor]: Taking taylor expansion of re in im
0.274 * [backup-simplify]: Simplify re into re
0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.274 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.274 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.274 * [taylor]: Taking taylor expansion of re in im
0.274 * [backup-simplify]: Simplify re into re
0.274 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.274 * [taylor]: Taking taylor expansion of im in im
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.274 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.274 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.274 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.275 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.275 * [taylor]: Taking taylor expansion of re in re
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.275 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.275 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.275 * [taylor]: Taking taylor expansion of re in re
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.275 * [taylor]: Taking taylor expansion of im in re
0.275 * [backup-simplify]: Simplify im into im
0.275 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.276 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.276 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.276 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.276 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.276 * [taylor]: Taking taylor expansion of re in re
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.276 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.277 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.277 * [taylor]: Taking taylor expansion of re in re
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.277 * [taylor]: Taking taylor expansion of im in re
0.277 * [backup-simplify]: Simplify im into im
0.277 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.277 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.277 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.277 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.278 * [backup-simplify]: Simplify (+ 0 im) into im
0.278 * [taylor]: Taking taylor expansion of im in im
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (+ 1 0) into 1
0.278 * [taylor]: Taking taylor expansion of 1 in im
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.280 * [backup-simplify]: Simplify (+ 1 0) into 1
0.281 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.281 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.281 * [taylor]: Taking taylor expansion of 1/2 in im
0.281 * [backup-simplify]: Simplify 1/2 into 1/2
0.281 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.281 * [taylor]: Taking taylor expansion of im in im
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.285 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.286 * [backup-simplify]: Simplify (+ 0 0) into 0
0.286 * [taylor]: Taking taylor expansion of 0 in im
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)))) into 0
0.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.288 * [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)))))
0.288 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.288 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.289 * [taylor]: Taking taylor expansion of re in im
0.289 * [backup-simplify]: Simplify re into re
0.289 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.289 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.289 * [taylor]: Taking taylor expansion of im in im
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (* 1 1) into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.290 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.290 * [taylor]: Taking taylor expansion of re in im
0.290 * [backup-simplify]: Simplify re into re
0.290 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.290 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.291 * [backup-simplify]: Simplify (+ 1 0) into 1
0.291 * [backup-simplify]: Simplify (sqrt 1) into 1
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.294 * [taylor]: Taking taylor expansion of re in re
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.294 * [backup-simplify]: Simplify (/ 1 1) into 1
0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.294 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.294 * [taylor]: Taking taylor expansion of im in re
0.294 * [backup-simplify]: Simplify im into im
0.295 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.295 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.295 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.295 * [taylor]: Taking taylor expansion of re in re
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [backup-simplify]: Simplify (+ 0 1) into 1
0.296 * [backup-simplify]: Simplify (sqrt 1) into 1
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.299 * [taylor]: Taking taylor expansion of re in re
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (/ 1 1) into 1
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)
0.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.300 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.300 * [taylor]: Taking taylor expansion of re in re
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (* 1 1) into 1
0.301 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [backup-simplify]: Simplify (+ 0 1) into 1
0.302 * [backup-simplify]: Simplify (sqrt 1) into 1
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.305 * [backup-simplify]: Simplify (+ 1 1) into 2
0.305 * [taylor]: Taking taylor expansion of 2 in im
0.305 * [backup-simplify]: Simplify 2 into 2
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ 0 0) into 0
0.306 * [taylor]: Taking taylor expansion of 0 in im
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 2 into 2
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.310 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.311 * [taylor]: Taking taylor expansion of 1/2 in im
0.311 * [backup-simplify]: Simplify 1/2 into 1/2
0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.311 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.311 * [taylor]: Taking taylor expansion of im in im
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (* 1 1) into 1
0.311 * [backup-simplify]: Simplify (/ 1 1) into 1
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [taylor]: Taking taylor expansion of 0 in im
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.322 * [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))
0.322 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.322 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.323 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.323 * [taylor]: Taking taylor expansion of im in im
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (* 1 1) into 1
0.323 * [backup-simplify]: Simplify (/ 1 1) into 1
0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.324 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.324 * [taylor]: Taking taylor expansion of re in im
0.324 * [backup-simplify]: Simplify re into re
0.324 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.324 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.324 * [backup-simplify]: Simplify (+ 1 0) into 1
0.325 * [backup-simplify]: Simplify (sqrt 1) into 1
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.327 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.327 * [taylor]: Taking taylor expansion of re in im
0.327 * [backup-simplify]: Simplify re into re
0.327 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.327 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.327 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.327 * [taylor]: Taking taylor expansion of im in re
0.327 * [backup-simplify]: Simplify im into im
0.328 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.328 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.328 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.328 * [taylor]: Taking taylor expansion of re in re
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.329 * [backup-simplify]: Simplify (/ 1 1) into 1
0.329 * [backup-simplify]: Simplify (+ 0 1) into 1
0.329 * [backup-simplify]: Simplify (sqrt 1) into 1
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.332 * [taylor]: Taking taylor expansion of re in re
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.333 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.333 * [taylor]: Taking taylor expansion of im in re
0.333 * [backup-simplify]: Simplify im into im
0.333 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.333 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.333 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.333 * [taylor]: Taking taylor expansion of re in re
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (* 1 1) into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [backup-simplify]: Simplify (+ 0 1) into 1
0.335 * [backup-simplify]: Simplify (sqrt 1) into 1
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.337 * [taylor]: Taking taylor expansion of re in re
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 1 into 1
0.338 * [backup-simplify]: Simplify (/ 1 1) into 1
0.338 * [backup-simplify]: Simplify (- 1) into -1
0.338 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.338 * [taylor]: Taking taylor expansion of 0 in im
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (- 0) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [taylor]: Taking taylor expansion of 0 in im
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.344 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (- 0) into 0
0.345 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.345 * [taylor]: Taking taylor expansion of 1/2 in im
0.345 * [backup-simplify]: Simplify 1/2 into 1/2
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.346 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.346 * [taylor]: Taking taylor expansion of im in im
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (* 1 1) into 1
0.346 * [backup-simplify]: Simplify (/ 1 1) into 1
0.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ 0 0) into 0
0.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (- 0) into 0
0.361 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [taylor]: Taking taylor expansion of 0 in im
0.361 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.365 * [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))))))
0.365 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.365 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.365 * [taylor]: Taking taylor expansion of 2.0 in im
0.365 * [backup-simplify]: Simplify 2.0 into 2.0
0.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.366 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.366 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.366 * [taylor]: Taking taylor expansion of re in im
0.366 * [backup-simplify]: Simplify re into re
0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.366 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.366 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.366 * [taylor]: Taking taylor expansion of re in im
0.366 * [backup-simplify]: Simplify re into re
0.366 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.366 * [taylor]: Taking taylor expansion of im in im
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.367 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.367 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.367 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.367 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.367 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.368 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.368 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.368 * [taylor]: Taking taylor expansion of 2.0 in re
0.368 * [backup-simplify]: Simplify 2.0 into 2.0
0.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.369 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.369 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.369 * [taylor]: Taking taylor expansion of re in re
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.370 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.370 * [taylor]: Taking taylor expansion of re in re
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.370 * [taylor]: Taking taylor expansion of im in re
0.370 * [backup-simplify]: Simplify im into im
0.370 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.370 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.370 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.371 * [backup-simplify]: Simplify (+ 0 im) into im
0.371 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.371 * [backup-simplify]: Simplify (+ 1 0) into 1
0.371 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.372 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.372 * [taylor]: Taking taylor expansion of 2.0 in re
0.372 * [backup-simplify]: Simplify 2.0 into 2.0
0.372 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.373 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.373 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.373 * [taylor]: Taking taylor expansion of re in re
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.373 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.373 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.373 * [taylor]: Taking taylor expansion of re in re
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.373 * [taylor]: Taking taylor expansion of im in re
0.373 * [backup-simplify]: Simplify im into im
0.373 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.373 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.374 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.374 * [backup-simplify]: Simplify (+ 0 im) into im
0.374 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.375 * [backup-simplify]: Simplify (+ 1 0) into 1
0.375 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.375 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.375 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.376 * [taylor]: Taking taylor expansion of 2.0 in im
0.376 * [backup-simplify]: Simplify 2.0 into 2.0
0.376 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.377 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.377 * [taylor]: Taking taylor expansion of im in im
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (sqrt 0) into 0
0.379 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.379 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.379 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.380 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.380 * [taylor]: Taking taylor expansion of 1/2 in im
0.380 * [backup-simplify]: Simplify 1/2 into 1/2
0.380 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.380 * [taylor]: Taking taylor expansion of 2.0 in im
0.380 * [backup-simplify]: Simplify 2.0 into 2.0
0.381 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.381 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.381 * [taylor]: Taking taylor expansion of im in im
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 1 into 1
0.382 * [backup-simplify]: Simplify (/ 1 1) into 1
0.382 * [backup-simplify]: Simplify (sqrt 0) into 0
0.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.386 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.386 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.390 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.392 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.394 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.396 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.396 * [backup-simplify]: Simplify (* 1 1) into 1
0.397 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.397 * [backup-simplify]: Simplify (+ 1 0) into 1
0.398 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.398 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.399 * [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))))
0.400 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.401 * [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)))))
0.401 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.401 * [taylor]: Taking taylor expansion of 1/8 in im
0.401 * [backup-simplify]: Simplify 1/8 into 1/8
0.401 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.401 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.401 * [taylor]: Taking taylor expansion of 2.0 in im
0.401 * [backup-simplify]: Simplify 2.0 into 2.0
0.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.403 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.403 * [taylor]: Taking taylor expansion of im in im
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (* 1 1) into 1
0.403 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [backup-simplify]: Simplify (sqrt 0) into 0
0.406 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.412 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.415 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.417 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.417 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.422 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.424 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.429 * [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)))))))
0.430 * [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)))))))
0.430 * [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
0.430 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.430 * [taylor]: Taking taylor expansion of 2.0 in im
0.430 * [backup-simplify]: Simplify 2.0 into 2.0
0.430 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.431 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.431 * [taylor]: Taking taylor expansion of re in im
0.431 * [backup-simplify]: Simplify re into re
0.431 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.431 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.431 * [taylor]: Taking taylor expansion of im in im
0.431 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 1 into 1
0.432 * [backup-simplify]: Simplify (* 1 1) into 1
0.432 * [backup-simplify]: Simplify (/ 1 1) into 1
0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.432 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.432 * [taylor]: Taking taylor expansion of re in im
0.432 * [backup-simplify]: Simplify re into re
0.432 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.433 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.433 * [backup-simplify]: Simplify (+ 1 0) into 1
0.434 * [backup-simplify]: Simplify (sqrt 1) into 1
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (+ 0 0) into 0
0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.436 * [backup-simplify]: Simplify (+ 0 1) into 1
0.437 * [backup-simplify]: Simplify (sqrt 0) into 0
0.438 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.438 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.438 * [taylor]: Taking taylor expansion of 2.0 in re
0.438 * [backup-simplify]: Simplify 2.0 into 2.0
0.439 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.439 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.440 * [taylor]: Taking taylor expansion of re in re
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify 1 into 1
0.440 * [backup-simplify]: Simplify (/ 1 1) into 1
0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.440 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.440 * [taylor]: Taking taylor expansion of im in re
0.440 * [backup-simplify]: Simplify im into im
0.440 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.440 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.440 * [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
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (+ 0 0) into 0
0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.445 * [backup-simplify]: Simplify (+ 1 1) into 2
0.446 * [backup-simplify]: Simplify (sqrt 0) into 0
0.447 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.447 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.447 * [taylor]: Taking taylor expansion of 2.0 in re
0.447 * [backup-simplify]: Simplify 2.0 into 2.0
0.448 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.449 * [taylor]: Taking taylor expansion of re in re
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (/ 1 1) into 1
0.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.449 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.449 * [taylor]: Taking taylor expansion of im in re
0.449 * [backup-simplify]: Simplify im into im
0.449 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.449 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.450 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.450 * [taylor]: Taking taylor expansion of re in re
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 1 into 1
0.450 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (/ 1 1) into 1
0.451 * [backup-simplify]: Simplify (+ 0 1) into 1
0.451 * [backup-simplify]: Simplify (sqrt 1) into 1
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.453 * [backup-simplify]: Simplify (+ 0 0) into 0
0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.454 * [backup-simplify]: Simplify (+ 1 1) into 2
0.454 * [backup-simplify]: Simplify (sqrt 0) into 0
0.456 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.456 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.456 * [taylor]: Taking taylor expansion of 0 in im
0.456 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.459 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.459 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.459 * [taylor]: Taking taylor expansion of +nan.0 in im
0.459 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.459 * [taylor]: Taking taylor expansion of 2.0 in im
0.459 * [backup-simplify]: Simplify 2.0 into 2.0
0.459 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (+ 0 0) into 0
0.462 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.463 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.465 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.465 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.465 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.465 * [taylor]: Taking taylor expansion of +nan.0 in im
0.465 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.465 * [taylor]: Taking taylor expansion of 2.0 in im
0.465 * [backup-simplify]: Simplify 2.0 into 2.0
0.465 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.466 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.467 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.468 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.470 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.471 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.472 * [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))
0.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.473 * [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)))))
0.473 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.473 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.473 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.473 * [taylor]: Taking taylor expansion of +nan.0 in im
0.473 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.474 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.474 * [taylor]: Taking taylor expansion of 2.0 in im
0.474 * [backup-simplify]: Simplify 2.0 into 2.0
0.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.474 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.474 * [taylor]: Taking taylor expansion of im in im
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (* 1 1) into 1
0.475 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.475 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.475 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.475 * [taylor]: Taking taylor expansion of +nan.0 in im
0.475 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.475 * [taylor]: Taking taylor expansion of 2.0 in im
0.475 * [backup-simplify]: Simplify 2.0 into 2.0
0.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.478 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (- 0) into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.479 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.480 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.481 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.481 * [backup-simplify]: Simplify (- 0) into 0
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (+ 0 0) into 0
0.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.484 * [backup-simplify]: Simplify (+ 0 0) into 0
0.485 * [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)))
0.485 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.487 * [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)))))
0.487 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.487 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.487 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.487 * [taylor]: Taking taylor expansion of +nan.0 in im
0.487 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.487 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.487 * [taylor]: Taking taylor expansion of 2.0 in im
0.487 * [backup-simplify]: Simplify 2.0 into 2.0
0.487 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.488 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.488 * [taylor]: Taking taylor expansion of im in im
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.488 * [backup-simplify]: Simplify (* 1 1) into 1
0.488 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.488 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.489 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.489 * [taylor]: Taking taylor expansion of +nan.0 in im
0.489 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.489 * [taylor]: Taking taylor expansion of 2.0 in im
0.489 * [backup-simplify]: Simplify 2.0 into 2.0
0.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.501 * [backup-simplify]: Simplify (- 0) into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.505 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.506 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.508 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.509 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.510 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.513 * [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)))))))
0.513 * [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))))
0.513 * [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
0.513 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.513 * [taylor]: Taking taylor expansion of 2.0 in im
0.513 * [backup-simplify]: Simplify 2.0 into 2.0
0.514 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.514 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.514 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.514 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.514 * [taylor]: Taking taylor expansion of im in im
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (/ 1 1) into 1
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.515 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.515 * [taylor]: Taking taylor expansion of re in im
0.515 * [backup-simplify]: Simplify re into re
0.515 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.515 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.515 * [backup-simplify]: Simplify (+ 1 0) into 1
0.516 * [backup-simplify]: Simplify (sqrt 1) into 1
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.517 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.517 * [taylor]: Taking taylor expansion of re in im
0.517 * [backup-simplify]: Simplify re into re
0.517 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.517 * [backup-simplify]: Simplify (+ 1 0) into 1
0.518 * [backup-simplify]: Simplify (sqrt 0) into 0
0.518 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.518 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.518 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.518 * [taylor]: Taking taylor expansion of 2.0 in re
0.518 * [backup-simplify]: Simplify 2.0 into 2.0
0.519 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.519 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.519 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.519 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.519 * [taylor]: Taking taylor expansion of im in re
0.519 * [backup-simplify]: Simplify im into im
0.519 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.520 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.520 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.520 * [taylor]: Taking taylor expansion of re in re
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.520 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [backup-simplify]: Simplify (+ 0 1) into 1
0.521 * [backup-simplify]: Simplify (sqrt 1) into 1
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.522 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.522 * [taylor]: Taking taylor expansion of re in re
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (/ 1 1) into 1
0.523 * [backup-simplify]: Simplify (- 1) into -1
0.523 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (- 0) into 0
0.524 * [backup-simplify]: Simplify (+ 0 0) into 0
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.526 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (- 0) into 0
0.527 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.527 * [backup-simplify]: Simplify (sqrt 0) into 0
0.527 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.527 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.527 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.527 * [taylor]: Taking taylor expansion of 2.0 in re
0.527 * [backup-simplify]: Simplify 2.0 into 2.0
0.528 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.528 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.528 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.528 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.528 * [taylor]: Taking taylor expansion of im in re
0.528 * [backup-simplify]: Simplify im into im
0.528 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.528 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.528 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.528 * [taylor]: Taking taylor expansion of re in re
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 1 into 1
0.529 * [backup-simplify]: Simplify (* 1 1) into 1
0.529 * [backup-simplify]: Simplify (/ 1 1) into 1
0.529 * [backup-simplify]: Simplify (+ 0 1) into 1
0.529 * [backup-simplify]: Simplify (sqrt 1) into 1
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (+ 0 0) into 0
0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.531 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.531 * [taylor]: Taking taylor expansion of re in re
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 1 into 1
0.531 * [backup-simplify]: Simplify (/ 1 1) into 1
0.531 * [backup-simplify]: Simplify (- 1) into -1
0.532 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (- 0) into 0
0.532 * [backup-simplify]: Simplify (+ 0 0) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.534 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (- 0) into 0
0.535 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.536 * [backup-simplify]: Simplify (sqrt 0) into 0
0.536 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.536 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.536 * [taylor]: Taking taylor expansion of 0 in im
0.536 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.537 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.537 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.537 * [taylor]: Taking taylor expansion of +nan.0 in im
0.537 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.537 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.537 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.537 * [taylor]: Taking taylor expansion of 2.0 in im
0.537 * [backup-simplify]: Simplify 2.0 into 2.0
0.537 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.538 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.538 * [taylor]: Taking taylor expansion of im in im
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (* 1 1) into 1
0.539 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.540 * [backup-simplify]: Simplify (- 0) into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (- 0) into 0
0.543 * [backup-simplify]: Simplify (+ 0 0) into 0
0.544 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.545 * [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))))
0.545 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.545 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.545 * [taylor]: Taking taylor expansion of +nan.0 in im
0.545 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.546 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.546 * [taylor]: Taking taylor expansion of 2.0 in im
0.546 * [backup-simplify]: Simplify 2.0 into 2.0
0.546 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.546 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.546 * [taylor]: Taking taylor expansion of im in im
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify (* 1 1) into 1
0.547 * [backup-simplify]: Simplify (* 1 1) into 1
0.547 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.548 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.554 * [backup-simplify]: Simplify (- 0) into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.557 * [backup-simplify]: Simplify (- 0) into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (+ 0 0) into 0
0.560 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.561 * [backup-simplify]: Simplify (- 0) into 0
0.561 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.562 * [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))))))
0.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.563 * [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))))))
0.563 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.563 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.563 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.564 * [taylor]: Taking taylor expansion of +nan.0 in im
0.564 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.564 * [taylor]: Taking taylor expansion of 2.0 in im
0.564 * [backup-simplify]: Simplify 2.0 into 2.0
0.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.564 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.564 * [taylor]: Taking taylor expansion of im in im
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 1 into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.565 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.565 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.565 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.566 * [taylor]: Taking taylor expansion of +nan.0 in im
0.566 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.566 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.566 * [taylor]: Taking taylor expansion of 2.0 in im
0.566 * [backup-simplify]: Simplify 2.0 into 2.0
0.566 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.566 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.566 * [taylor]: Taking taylor expansion of im in im
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 1 into 1
0.567 * [backup-simplify]: Simplify (* 1 1) into 1
0.567 * [backup-simplify]: Simplify (* 1 1) into 1
0.567 * [backup-simplify]: Simplify (* 1 1) into 1
0.568 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.568 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.596 * [backup-simplify]: Simplify (- 0) into 0
0.596 * [backup-simplify]: Simplify (+ 0 0) into 0
0.596 * [backup-simplify]: Simplify (- 0) into 0
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * * * [progress]: simplifying candidates
0.597 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
0.598 * * [simplify]: Extracting # 0 : cost  0
0.598 * * [simplify]: Extracting # 1 : cost  0
0.598 * * [simplify]: Extracting # 2 : cost  0
0.599 * * [simplify]: Extracting # 3 : cost  0
0.599 * * [simplify]: Extracting # 4 : cost  0
0.599 * * [simplify]: Extracting # 5 : cost  0
0.599 * * [simplify]: Extracting # 6 : cost  0
0.599 * * [simplify]: Extracting # 7 : cost  0
0.599 * * [simplify]: Extracting # 8 : cost  0
0.599 * * [simplify]: Extracting # 9 : cost  0
0.599 * * [simplify]: Extracting # 10 : cost  0
0.599 * * [simplify]: Extracting # 11 : cost  0
0.600 * * [simplify]: Extracting # 12 : cost  0
0.600 * * [simplify]: iteration  0 :  99  enodes  (cost  722 )
0.627 * * [simplify]: Extracting # 0 : cost  0
0.627 * * [simplify]: Extracting # 1 : cost  0
0.628 * * [simplify]: Extracting # 2 : cost  0
0.628 * * [simplify]: Extracting # 3 : cost  0
0.629 * * [simplify]: Extracting # 4 : cost  0
0.629 * * [simplify]: iteration  1 :  243  enodes  (cost  617 )
0.743 * * [simplify]: Extracting # 0 : cost  0
0.744 * * [simplify]: Extracting # 1 : cost  0
0.745 * * [simplify]: Extracting # 2 : cost  0
0.745 * * [simplify]: Extracting # 3 : cost  0
0.746 * * [simplify]: Extracting # 4 : cost  0
0.747 * * [simplify]: iteration  2 :  642  enodes  (cost  569 )
1.040 * * [simplify]: Extracting # 0 : cost  0
1.043 * * [simplify]: Extracting # 1 : cost  0
1.046 * * [simplify]: Extracting # 2 : cost  0
1.050 * * [simplify]: Extracting # 3 : cost  0
1.053 * * [simplify]: Extracting # 4 : cost  0
1.056 * * [simplify]: iteration  3 :  1604  enodes  (cost  542 )
2.600 * * [simplify]: Extracting # 0 : cost  0
2.605 * * [simplify]: Extracting # 1 : cost  0
2.609 * * [simplify]: Extracting # 2 : cost  0
2.612 * * [simplify]: Extracting # 3 : cost  0
2.616 * * [simplify]: Extracting # 4 : cost  0
2.619 * * [simplify]: iteration  4 :  4024  enodes  (cost  537 )
4.289 * * [simplify]: Extracting # 0 : cost  0
4.294 * * [simplify]: Extracting # 1 : cost  0
4.299 * * [simplify]: Extracting # 2 : cost  0
4.304 * * [simplify]: Extracting # 3 : cost  0
4.312 * * [simplify]: Extracting # 4 : cost  0
4.321 * * [simplify]: iteration done:  5000  enodes  (cost  537 )
4.322 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* re (+ re (- re (sqrt (+ (* re re) (* im im)))))) (* im im))
  (pow im 2)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* re (+ re (- re (sqrt (+ (* re re) (* im im)))))) (* im im)))
  (sqrt (* (* im im) 2.0))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  (* +nan.0 (* (sqrt 2.0) (- (- im re) (* re re))))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
  0
4.322 * * * [progress]: adding candidates to table
4.526 * * [progress]: iteration 2 / 4
4.526 * * * [progress]: picking best candidate
4.546 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
4.546 * * * [progress]: localizing error
4.580 * * * [progress]: generating rewritten candidates
4.580 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
4.596 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
4.613 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1)
4.686 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
4.796 * * * [progress]: generating series expansions
4.796 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
4.796 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.796 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.796 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.796 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.796 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.796 * [taylor]: Taking taylor expansion of re in im
4.796 * [backup-simplify]: Simplify re into re
4.796 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.796 * [taylor]: Taking taylor expansion of im in im
4.796 * [backup-simplify]: Simplify 0 into 0
4.796 * [backup-simplify]: Simplify 1 into 1
4.796 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.797 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.797 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.797 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.798 * [backup-simplify]: Simplify (+ 0 0) into 0
4.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.798 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.798 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.798 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.798 * [taylor]: Taking taylor expansion of re in re
4.798 * [backup-simplify]: Simplify 0 into 0
4.798 * [backup-simplify]: Simplify 1 into 1
4.798 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.798 * [taylor]: Taking taylor expansion of im in re
4.798 * [backup-simplify]: Simplify im into im
4.798 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.798 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.799 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.799 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.799 * [backup-simplify]: Simplify (+ 0 0) into 0
4.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.799 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.799 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.799 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.800 * [taylor]: Taking taylor expansion of re in re
4.800 * [backup-simplify]: Simplify 0 into 0
4.800 * [backup-simplify]: Simplify 1 into 1
4.800 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.800 * [taylor]: Taking taylor expansion of im in re
4.800 * [backup-simplify]: Simplify im into im
4.800 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.800 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.800 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.800 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.801 * [backup-simplify]: Simplify (+ 0 0) into 0
4.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.801 * [taylor]: Taking taylor expansion of im in im
4.801 * [backup-simplify]: Simplify 0 into 0
4.801 * [backup-simplify]: Simplify 1 into 1
4.801 * [backup-simplify]: Simplify 0 into 0
4.801 * [taylor]: Taking taylor expansion of 0 in im
4.801 * [backup-simplify]: Simplify 0 into 0
4.801 * [backup-simplify]: Simplify 0 into 0
4.801 * [backup-simplify]: Simplify 1 into 1
4.802 * [backup-simplify]: Simplify (* 1 1) into 1
4.802 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.803 * [backup-simplify]: Simplify (+ 1 0) into 1
4.804 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.804 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.804 * [taylor]: Taking taylor expansion of 1/2 in im
4.804 * [backup-simplify]: Simplify 1/2 into 1/2
4.804 * [taylor]: Taking taylor expansion of im in im
4.804 * [backup-simplify]: Simplify 0 into 0
4.804 * [backup-simplify]: Simplify 1 into 1
4.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.805 * [backup-simplify]: Simplify 0 into 0
4.806 * [backup-simplify]: Simplify 0 into 0
4.806 * [backup-simplify]: Simplify 0 into 0
4.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.807 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.808 * [backup-simplify]: Simplify (+ 0 0) into 0
4.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.808 * [taylor]: Taking taylor expansion of 0 in im
4.808 * [backup-simplify]: Simplify 0 into 0
4.808 * [backup-simplify]: Simplify 0 into 0
4.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.809 * [backup-simplify]: Simplify 0 into 0
4.809 * [backup-simplify]: Simplify 0 into 0
4.809 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.809 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.809 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.809 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.809 * [taylor]: Taking taylor expansion of im in im
4.809 * [backup-simplify]: Simplify 0 into 0
4.809 * [backup-simplify]: Simplify 1 into 1
4.809 * [backup-simplify]: Simplify (* 1 1) into 1
4.809 * [backup-simplify]: Simplify (/ 1 1) into 1
4.810 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.810 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.810 * [taylor]: Taking taylor expansion of re in im
4.810 * [backup-simplify]: Simplify re into re
4.810 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.810 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.810 * [backup-simplify]: Simplify (+ 1 0) into 1
4.810 * [backup-simplify]: Simplify (sqrt 1) into 1
4.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.811 * [backup-simplify]: Simplify (+ 0 0) into 0
4.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.812 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.812 * [taylor]: Taking taylor expansion of im in re
4.812 * [backup-simplify]: Simplify im into im
4.812 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.812 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.812 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.812 * [taylor]: Taking taylor expansion of re in re
4.812 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify 1 into 1
4.812 * [backup-simplify]: Simplify (* 1 1) into 1
4.813 * [backup-simplify]: Simplify (/ 1 1) into 1
4.813 * [backup-simplify]: Simplify (+ 0 1) into 1
4.813 * [backup-simplify]: Simplify (sqrt 1) into 1
4.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.814 * [backup-simplify]: Simplify (+ 0 0) into 0
4.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.815 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.815 * [taylor]: Taking taylor expansion of im in re
4.815 * [backup-simplify]: Simplify im into im
4.815 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.815 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.815 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.815 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.815 * [taylor]: Taking taylor expansion of re in re
4.815 * [backup-simplify]: Simplify 0 into 0
4.815 * [backup-simplify]: Simplify 1 into 1
4.815 * [backup-simplify]: Simplify (* 1 1) into 1
4.816 * [backup-simplify]: Simplify (/ 1 1) into 1
4.816 * [backup-simplify]: Simplify (+ 0 1) into 1
4.816 * [backup-simplify]: Simplify (sqrt 1) into 1
4.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.817 * [backup-simplify]: Simplify (+ 0 0) into 0
4.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.818 * [taylor]: Taking taylor expansion of 1 in im
4.818 * [backup-simplify]: Simplify 1 into 1
4.818 * [taylor]: Taking taylor expansion of 0 in im
4.818 * [backup-simplify]: Simplify 0 into 0
4.818 * [backup-simplify]: Simplify 1 into 1
4.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.819 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.820 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.820 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.820 * [taylor]: Taking taylor expansion of 1/2 in im
4.820 * [backup-simplify]: Simplify 1/2 into 1/2
4.820 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.820 * [taylor]: Taking taylor expansion of im in im
4.820 * [backup-simplify]: Simplify 0 into 0
4.820 * [backup-simplify]: Simplify 1 into 1
4.820 * [backup-simplify]: Simplify (* 1 1) into 1
4.821 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.822 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.823 * [backup-simplify]: Simplify (+ 0 0) into 0
4.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.824 * [taylor]: Taking taylor expansion of 0 in im
4.824 * [backup-simplify]: Simplify 0 into 0
4.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.825 * [backup-simplify]: Simplify 0 into 0
4.825 * [backup-simplify]: Simplify 0 into 0
4.825 * [backup-simplify]: Simplify 0 into 0
4.825 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.825 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.825 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.825 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.825 * [taylor]: Taking taylor expansion of im in im
4.825 * [backup-simplify]: Simplify 0 into 0
4.825 * [backup-simplify]: Simplify 1 into 1
4.826 * [backup-simplify]: Simplify (* 1 1) into 1
4.826 * [backup-simplify]: Simplify (/ 1 1) into 1
4.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.826 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.826 * [taylor]: Taking taylor expansion of re in im
4.826 * [backup-simplify]: Simplify re into re
4.826 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.826 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.826 * [backup-simplify]: Simplify (+ 1 0) into 1
4.827 * [backup-simplify]: Simplify (sqrt 1) into 1
4.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.828 * [backup-simplify]: Simplify (+ 0 0) into 0
4.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.828 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.828 * [taylor]: Taking taylor expansion of im in re
4.828 * [backup-simplify]: Simplify im into im
4.829 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.829 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.829 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.829 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.829 * [taylor]: Taking taylor expansion of re in re
4.829 * [backup-simplify]: Simplify 0 into 0
4.829 * [backup-simplify]: Simplify 1 into 1
4.829 * [backup-simplify]: Simplify (* 1 1) into 1
4.829 * [backup-simplify]: Simplify (/ 1 1) into 1
4.829 * [backup-simplify]: Simplify (+ 0 1) into 1
4.830 * [backup-simplify]: Simplify (sqrt 1) into 1
4.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.831 * [backup-simplify]: Simplify (+ 0 0) into 0
4.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.831 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.831 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.831 * [taylor]: Taking taylor expansion of im in re
4.831 * [backup-simplify]: Simplify im into im
4.831 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.831 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.831 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.831 * [taylor]: Taking taylor expansion of re in re
4.832 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify 1 into 1
4.832 * [backup-simplify]: Simplify (* 1 1) into 1
4.832 * [backup-simplify]: Simplify (/ 1 1) into 1
4.832 * [backup-simplify]: Simplify (+ 0 1) into 1
4.833 * [backup-simplify]: Simplify (sqrt 1) into 1
4.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.834 * [backup-simplify]: Simplify (+ 0 0) into 0
4.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.834 * [taylor]: Taking taylor expansion of 1 in im
4.834 * [backup-simplify]: Simplify 1 into 1
4.834 * [taylor]: Taking taylor expansion of 0 in im
4.834 * [backup-simplify]: Simplify 0 into 0
4.834 * [backup-simplify]: Simplify 1 into 1
4.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.835 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.836 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.836 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.837 * [taylor]: Taking taylor expansion of 1/2 in im
4.837 * [backup-simplify]: Simplify 1/2 into 1/2
4.837 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.837 * [taylor]: Taking taylor expansion of im in im
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify 1 into 1
4.837 * [backup-simplify]: Simplify (* 1 1) into 1
4.838 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.845 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.849 * [backup-simplify]: Simplify (+ 0 0) into 0
4.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.849 * [taylor]: Taking taylor expansion of 0 in im
4.849 * [backup-simplify]: Simplify 0 into 0
4.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.851 * [backup-simplify]: Simplify 0 into 0
4.851 * [backup-simplify]: Simplify 0 into 0
4.851 * [backup-simplify]: Simplify 0 into 0
4.852 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.852 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
4.852 * [backup-simplify]: Simplify (sqrt (* (* im im) 2.0)) into (* (sqrt 2.0) im)
4.852 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0
4.852 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.852 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.852 * [taylor]: Taking taylor expansion of 2.0 in im
4.852 * [backup-simplify]: Simplify 2.0 into 2.0
4.853 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.853 * [taylor]: Taking taylor expansion of im in im
4.853 * [backup-simplify]: Simplify 0 into 0
4.853 * [backup-simplify]: Simplify 1 into 1
4.853 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.854 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.854 * [taylor]: Taking taylor expansion of 2.0 in im
4.854 * [backup-simplify]: Simplify 2.0 into 2.0
4.854 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.855 * [taylor]: Taking taylor expansion of im in im
4.855 * [backup-simplify]: Simplify 0 into 0
4.855 * [backup-simplify]: Simplify 1 into 1
4.856 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.856 * [backup-simplify]: Simplify 0 into 0
4.858 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
4.858 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.861 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
4.861 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.863 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.863 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.866 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.867 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.870 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
4.870 * [backup-simplify]: Simplify 0 into 0
4.871 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.873 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
4.873 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.877 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
4.877 * [backup-simplify]: Simplify 0 into 0
4.877 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
4.878 * [backup-simplify]: Simplify (sqrt (* (* (/ 1 im) (/ 1 im)) 2.0)) into (/ (sqrt 2.0) im)
4.878 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
4.878 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.878 * [taylor]: Taking taylor expansion of 2.0 in im
4.878 * [backup-simplify]: Simplify 2.0 into 2.0
4.878 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.879 * [taylor]: Taking taylor expansion of im in im
4.879 * [backup-simplify]: Simplify 0 into 0
4.879 * [backup-simplify]: Simplify 1 into 1
4.881 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.881 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.881 * [taylor]: Taking taylor expansion of 2.0 in im
4.881 * [backup-simplify]: Simplify 2.0 into 2.0
4.881 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.882 * [taylor]: Taking taylor expansion of im in im
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 1 into 1
4.883 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.884 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.885 * [backup-simplify]: Simplify 0 into 0
4.886 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.887 * [backup-simplify]: Simplify 0 into 0
4.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.890 * [backup-simplify]: Simplify 0 into 0
4.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.893 * [backup-simplify]: Simplify 0 into 0
4.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.896 * [backup-simplify]: Simplify 0 into 0
4.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.898 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
4.899 * [backup-simplify]: Simplify (sqrt (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0)) into (/ (sqrt 2.0) im)
4.899 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
4.899 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.899 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.899 * [taylor]: Taking taylor expansion of 2.0 in im
4.899 * [backup-simplify]: Simplify 2.0 into 2.0
4.900 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.901 * [taylor]: Taking taylor expansion of im in im
4.901 * [backup-simplify]: Simplify 0 into 0
4.901 * [backup-simplify]: Simplify 1 into 1
4.902 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.902 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.902 * [taylor]: Taking taylor expansion of 2.0 in im
4.902 * [backup-simplify]: Simplify 2.0 into 2.0
4.902 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.903 * [taylor]: Taking taylor expansion of im in im
4.903 * [backup-simplify]: Simplify 0 into 0
4.903 * [backup-simplify]: Simplify 1 into 1
4.904 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.904 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.905 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.908 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.910 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.913 * [backup-simplify]: Simplify 0 into 0
4.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.916 * [backup-simplify]: Simplify 0 into 0
4.917 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.919 * [backup-simplify]: Simplify 0 into 0
4.919 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
4.920 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1)
4.920 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
4.920 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
4.920 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
4.920 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.920 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.920 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.920 * [taylor]: Taking taylor expansion of re in im
4.920 * [backup-simplify]: Simplify re into re
4.920 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.920 * [taylor]: Taking taylor expansion of im in im
4.920 * [backup-simplify]: Simplify 0 into 0
4.920 * [backup-simplify]: Simplify 1 into 1
4.920 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.921 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.921 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.921 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.921 * [backup-simplify]: Simplify (+ 0 0) into 0
4.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.921 * [taylor]: Taking taylor expansion of re in im
4.922 * [backup-simplify]: Simplify re into re
4.922 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.922 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.922 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.922 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.922 * [taylor]: Taking taylor expansion of re in re
4.922 * [backup-simplify]: Simplify 0 into 0
4.922 * [backup-simplify]: Simplify 1 into 1
4.922 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.922 * [taylor]: Taking taylor expansion of im in re
4.922 * [backup-simplify]: Simplify im into im
4.922 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.922 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.922 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.922 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.923 * [backup-simplify]: Simplify (+ 0 0) into 0
4.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.923 * [taylor]: Taking taylor expansion of re in re
4.923 * [backup-simplify]: Simplify 0 into 0
4.923 * [backup-simplify]: Simplify 1 into 1
4.923 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.923 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.923 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.923 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.923 * [taylor]: Taking taylor expansion of re in re
4.923 * [backup-simplify]: Simplify 0 into 0
4.923 * [backup-simplify]: Simplify 1 into 1
4.923 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.923 * [taylor]: Taking taylor expansion of im in re
4.923 * [backup-simplify]: Simplify im into im
4.923 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.924 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.924 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.924 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.924 * [backup-simplify]: Simplify (+ 0 0) into 0
4.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.924 * [taylor]: Taking taylor expansion of re in re
4.924 * [backup-simplify]: Simplify 0 into 0
4.924 * [backup-simplify]: Simplify 1 into 1
4.925 * [backup-simplify]: Simplify (- 0) into 0
4.925 * [backup-simplify]: Simplify (+ im 0) into im
4.925 * [taylor]: Taking taylor expansion of im in im
4.925 * [backup-simplify]: Simplify 0 into 0
4.925 * [backup-simplify]: Simplify 1 into 1
4.925 * [backup-simplify]: Simplify 0 into 0
4.926 * [backup-simplify]: Simplify (- 1) into -1
4.926 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.926 * [taylor]: Taking taylor expansion of -1 in im
4.926 * [backup-simplify]: Simplify -1 into -1
4.926 * [backup-simplify]: Simplify -1 into -1
4.926 * [backup-simplify]: Simplify 1 into 1
4.927 * [backup-simplify]: Simplify (* 1 1) into 1
4.927 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.928 * [backup-simplify]: Simplify (+ 1 0) into 1
4.929 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.929 * [backup-simplify]: Simplify (- 0) into 0
4.929 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.929 * [taylor]: Taking taylor expansion of 1/2 in im
4.929 * [backup-simplify]: Simplify 1/2 into 1/2
4.929 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.929 * [taylor]: Taking taylor expansion of im in im
4.929 * [backup-simplify]: Simplify 0 into 0
4.929 * [backup-simplify]: Simplify 1 into 1
4.930 * [backup-simplify]: Simplify (/ 1 1) into 1
4.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.931 * [backup-simplify]: Simplify 0 into 0
4.931 * [backup-simplify]: Simplify 0 into 0
4.931 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.933 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.933 * [backup-simplify]: Simplify (+ 0 0) into 0
4.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.934 * [backup-simplify]: Simplify (- 0) into 0
4.934 * [backup-simplify]: Simplify (+ 0 0) into 0
4.934 * [taylor]: Taking taylor expansion of 0 in im
4.934 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.937 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
4.937 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
4.937 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.937 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.937 * [taylor]: Taking taylor expansion of im in im
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify 1 into 1
4.938 * [backup-simplify]: Simplify (* 1 1) into 1
4.938 * [backup-simplify]: Simplify (/ 1 1) into 1
4.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.938 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.938 * [taylor]: Taking taylor expansion of re in im
4.938 * [backup-simplify]: Simplify re into re
4.938 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.938 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.939 * [backup-simplify]: Simplify (+ 1 0) into 1
4.939 * [backup-simplify]: Simplify (sqrt 1) into 1
4.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.941 * [backup-simplify]: Simplify (+ 0 0) into 0
4.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.942 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.942 * [taylor]: Taking taylor expansion of re in im
4.942 * [backup-simplify]: Simplify re into re
4.942 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.942 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.942 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.942 * [taylor]: Taking taylor expansion of im in re
4.942 * [backup-simplify]: Simplify im into im
4.942 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.942 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.942 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.942 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.942 * [taylor]: Taking taylor expansion of re in re
4.942 * [backup-simplify]: Simplify 0 into 0
4.943 * [backup-simplify]: Simplify 1 into 1
4.943 * [backup-simplify]: Simplify (* 1 1) into 1
4.943 * [backup-simplify]: Simplify (/ 1 1) into 1
4.944 * [backup-simplify]: Simplify (+ 0 1) into 1
4.944 * [backup-simplify]: Simplify (sqrt 1) into 1
4.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.946 * [backup-simplify]: Simplify (+ 0 0) into 0
4.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.947 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.947 * [taylor]: Taking taylor expansion of re in re
4.947 * [backup-simplify]: Simplify 0 into 0
4.947 * [backup-simplify]: Simplify 1 into 1
4.947 * [backup-simplify]: Simplify (/ 1 1) into 1
4.947 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.948 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.948 * [taylor]: Taking taylor expansion of im in re
4.948 * [backup-simplify]: Simplify im into im
4.948 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.948 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.948 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.948 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.948 * [taylor]: Taking taylor expansion of re in re
4.948 * [backup-simplify]: Simplify 0 into 0
4.948 * [backup-simplify]: Simplify 1 into 1
4.948 * [backup-simplify]: Simplify (* 1 1) into 1
4.949 * [backup-simplify]: Simplify (/ 1 1) into 1
4.949 * [backup-simplify]: Simplify (+ 0 1) into 1
4.950 * [backup-simplify]: Simplify (sqrt 1) into 1
4.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.951 * [backup-simplify]: Simplify (+ 0 0) into 0
4.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.952 * [taylor]: Taking taylor expansion of re in re
4.952 * [backup-simplify]: Simplify 0 into 0
4.952 * [backup-simplify]: Simplify 1 into 1
4.952 * [backup-simplify]: Simplify (/ 1 1) into 1
4.953 * [backup-simplify]: Simplify (- 1) into -1
4.953 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.953 * [taylor]: Taking taylor expansion of 0 in im
4.953 * [backup-simplify]: Simplify 0 into 0
4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.954 * [backup-simplify]: Simplify (- 0) into 0
4.954 * [backup-simplify]: Simplify (+ 0 0) into 0
4.954 * [taylor]: Taking taylor expansion of 0 in im
4.954 * [backup-simplify]: Simplify 0 into 0
4.954 * [backup-simplify]: Simplify 0 into 0
4.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.955 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.956 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.957 * [backup-simplify]: Simplify (- 0) into 0
4.957 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.957 * [taylor]: Taking taylor expansion of 1/2 in im
4.957 * [backup-simplify]: Simplify 1/2 into 1/2
4.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.957 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.957 * [taylor]: Taking taylor expansion of im in im
4.957 * [backup-simplify]: Simplify 0 into 0
4.957 * [backup-simplify]: Simplify 1 into 1
4.957 * [backup-simplify]: Simplify (* 1 1) into 1
4.958 * [backup-simplify]: Simplify (/ 1 1) into 1
4.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.959 * [backup-simplify]: Simplify 0 into 0
4.959 * [backup-simplify]: Simplify 0 into 0
4.959 * [backup-simplify]: Simplify 0 into 0
4.959 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.960 * [backup-simplify]: Simplify (+ 0 0) into 0
4.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.962 * [backup-simplify]: Simplify (- 0) into 0
4.962 * [backup-simplify]: Simplify (+ 0 0) into 0
4.962 * [taylor]: Taking taylor expansion of 0 in im
4.962 * [backup-simplify]: Simplify 0 into 0
4.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.964 * [backup-simplify]: Simplify 0 into 0
4.964 * [backup-simplify]: Simplify 0 into 0
4.964 * [backup-simplify]: Simplify 0 into 0
4.964 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
4.964 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
4.964 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.964 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.964 * [taylor]: Taking taylor expansion of re in im
4.964 * [backup-simplify]: Simplify re into re
4.964 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.964 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.964 * [taylor]: Taking taylor expansion of im in im
4.964 * [backup-simplify]: Simplify 0 into 0
4.964 * [backup-simplify]: Simplify 1 into 1
4.964 * [backup-simplify]: Simplify (* 1 1) into 1
4.965 * [backup-simplify]: Simplify (/ 1 1) into 1
4.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.965 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.965 * [taylor]: Taking taylor expansion of re in im
4.965 * [backup-simplify]: Simplify re into re
4.965 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.965 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.965 * [backup-simplify]: Simplify (+ 1 0) into 1
4.965 * [backup-simplify]: Simplify (sqrt 1) into 1
4.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.966 * [backup-simplify]: Simplify (+ 0 0) into 0
4.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.967 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.967 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.967 * [taylor]: Taking taylor expansion of re in re
4.967 * [backup-simplify]: Simplify 0 into 0
4.967 * [backup-simplify]: Simplify 1 into 1
4.967 * [backup-simplify]: Simplify (/ 1 1) into 1
4.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.967 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.967 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.967 * [taylor]: Taking taylor expansion of im in re
4.967 * [backup-simplify]: Simplify im into im
4.967 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.967 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.967 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.967 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.968 * [taylor]: Taking taylor expansion of re in re
4.968 * [backup-simplify]: Simplify 0 into 0
4.968 * [backup-simplify]: Simplify 1 into 1
4.968 * [backup-simplify]: Simplify (* 1 1) into 1
4.968 * [backup-simplify]: Simplify (/ 1 1) into 1
4.968 * [backup-simplify]: Simplify (+ 0 1) into 1
4.969 * [backup-simplify]: Simplify (sqrt 1) into 1
4.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.970 * [backup-simplify]: Simplify (+ 0 0) into 0
4.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.970 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.970 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.970 * [taylor]: Taking taylor expansion of re in re
4.970 * [backup-simplify]: Simplify 0 into 0
4.970 * [backup-simplify]: Simplify 1 into 1
4.970 * [backup-simplify]: Simplify (/ 1 1) into 1
4.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.970 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.970 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.970 * [taylor]: Taking taylor expansion of im in re
4.970 * [backup-simplify]: Simplify im into im
4.970 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.971 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.971 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.971 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.971 * [taylor]: Taking taylor expansion of re in re
4.971 * [backup-simplify]: Simplify 0 into 0
4.971 * [backup-simplify]: Simplify 1 into 1
4.971 * [backup-simplify]: Simplify (* 1 1) into 1
4.971 * [backup-simplify]: Simplify (/ 1 1) into 1
4.971 * [backup-simplify]: Simplify (+ 0 1) into 1
4.972 * [backup-simplify]: Simplify (sqrt 1) into 1
4.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.973 * [backup-simplify]: Simplify (+ 0 0) into 0
4.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.973 * [backup-simplify]: Simplify (+ 1 1) into 2
4.973 * [taylor]: Taking taylor expansion of 2 in im
4.973 * [backup-simplify]: Simplify 2 into 2
4.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.974 * [backup-simplify]: Simplify (+ 0 0) into 0
4.974 * [taylor]: Taking taylor expansion of 0 in im
4.974 * [backup-simplify]: Simplify 0 into 0
4.974 * [backup-simplify]: Simplify 2 into 2
4.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.976 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.977 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.977 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.977 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.977 * [taylor]: Taking taylor expansion of 1/2 in im
4.977 * [backup-simplify]: Simplify 1/2 into 1/2
4.977 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.977 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.977 * [taylor]: Taking taylor expansion of im in im
4.977 * [backup-simplify]: Simplify 0 into 0
4.977 * [backup-simplify]: Simplify 1 into 1
4.978 * [backup-simplify]: Simplify (* 1 1) into 1
4.978 * [backup-simplify]: Simplify (/ 1 1) into 1
4.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.979 * [backup-simplify]: Simplify 0 into 0
4.979 * [backup-simplify]: Simplify 0 into 0
4.979 * [backup-simplify]: Simplify 0 into 0
4.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.980 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.991 * [backup-simplify]: Simplify (+ 0 0) into 0
4.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.992 * [backup-simplify]: Simplify (+ 0 0) into 0
4.992 * [taylor]: Taking taylor expansion of 0 in im
4.992 * [backup-simplify]: Simplify 0 into 0
4.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify 0 into 0
4.996 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
4.996 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
4.996 * [backup-simplify]: Simplify (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
4.996 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0
4.996 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
4.996 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
4.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.996 * [taylor]: Taking taylor expansion of 2.0 in re
4.996 * [backup-simplify]: Simplify 2.0 into 2.0
4.997 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.997 * [taylor]: Taking taylor expansion of im in re
4.997 * [backup-simplify]: Simplify im into im
4.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
4.997 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
4.997 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.997 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.997 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.997 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.997 * [taylor]: Taking taylor expansion of re in re
4.997 * [backup-simplify]: Simplify 0 into 0
4.997 * [backup-simplify]: Simplify 1 into 1
4.997 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.997 * [taylor]: Taking taylor expansion of im in re
4.997 * [backup-simplify]: Simplify im into im
4.997 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.997 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.998 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.998 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.998 * [backup-simplify]: Simplify (+ 0 0) into 0
4.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.998 * [taylor]: Taking taylor expansion of re in re
4.998 * [backup-simplify]: Simplify 0 into 0
4.998 * [backup-simplify]: Simplify 1 into 1
4.998 * [backup-simplify]: Simplify (- 0) into 0
4.998 * [backup-simplify]: Simplify (+ im 0) into im
4.998 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.998 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
4.999 * [backup-simplify]: Simplify (- 1) into -1
4.999 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
4.999 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
4.999 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
4.999 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.999 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.999 * [taylor]: Taking taylor expansion of 2.0 in im
4.999 * [backup-simplify]: Simplify 2.0 into 2.0
4.999 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.000 * [taylor]: Taking taylor expansion of im in im
5.000 * [backup-simplify]: Simplify 0 into 0
5.000 * [backup-simplify]: Simplify 1 into 1
5.000 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
5.000 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
5.000 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
5.000 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.000 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.000 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.000 * [taylor]: Taking taylor expansion of re in im
5.000 * [backup-simplify]: Simplify re into re
5.000 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.000 * [taylor]: Taking taylor expansion of im in im
5.000 * [backup-simplify]: Simplify 0 into 0
5.000 * [backup-simplify]: Simplify 1 into 1
5.000 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.000 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.000 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.001 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.001 * [taylor]: Taking taylor expansion of re in im
5.001 * [backup-simplify]: Simplify re into re
5.001 * [backup-simplify]: Simplify (- re) into (- re)
5.001 * [backup-simplify]: Simplify (+ re (- re)) into 0
5.001 * [backup-simplify]: Simplify (- 0) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.002 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
5.002 * [backup-simplify]: Simplify (* 1 1) into 1
5.002 * [backup-simplify]: Simplify (+ 0 1) into 1
5.003 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
5.003 * [backup-simplify]: Simplify (- 0) into 0
5.003 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
5.003 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
5.003 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
5.004 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
5.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.004 * [backup-simplify]: Simplify (+ 0 0) into 0
5.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
5.005 * [backup-simplify]: Simplify (- 0) into 0
5.005 * [backup-simplify]: Simplify (+ 0 0) into 0
5.005 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
5.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
5.005 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
5.005 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
5.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.005 * [taylor]: Taking taylor expansion of 2.0 in im
5.005 * [backup-simplify]: Simplify 2.0 into 2.0
5.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.006 * [taylor]: Taking taylor expansion of im in im
5.006 * [backup-simplify]: Simplify 0 into 0
5.006 * [backup-simplify]: Simplify 1 into 1
5.006 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
5.006 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
5.006 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
5.006 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.006 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.006 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.006 * [taylor]: Taking taylor expansion of re in im
5.006 * [backup-simplify]: Simplify re into re
5.006 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.006 * [taylor]: Taking taylor expansion of im in im
5.006 * [backup-simplify]: Simplify 0 into 0
5.006 * [backup-simplify]: Simplify 1 into 1
5.006 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.006 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.006 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.006 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.007 * [backup-simplify]: Simplify (+ 0 0) into 0
5.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.007 * [taylor]: Taking taylor expansion of re in im
5.007 * [backup-simplify]: Simplify re into re
5.007 * [backup-simplify]: Simplify (- re) into (- re)
5.007 * [backup-simplify]: Simplify (+ re (- re)) into 0
5.007 * [backup-simplify]: Simplify (- 0) into 0
5.007 * [backup-simplify]: Simplify (+ 0 0) into 0
5.008 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
5.008 * [backup-simplify]: Simplify (* 1 1) into 1
5.008 * [backup-simplify]: Simplify (+ 0 1) into 1
5.008 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
5.009 * [backup-simplify]: Simplify (- 0) into 0
5.009 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
5.009 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
5.009 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
5.009 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
5.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.010 * [backup-simplify]: Simplify (+ 0 0) into 0
5.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
5.010 * [backup-simplify]: Simplify (- 0) into 0
5.011 * [backup-simplify]: Simplify (+ 0 0) into 0
5.011 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
5.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
5.011 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.011 * [backup-simplify]: Simplify (* 0 (* (sqrt re) (sqrt 2))) into 0
5.011 * [taylor]: Taking taylor expansion of 0 in re
5.011 * [backup-simplify]: Simplify 0 into 0
5.011 * [backup-simplify]: Simplify 0 into 0
5.013 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
5.013 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt re) (sqrt 2)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
5.013 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
5.013 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
5.014 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.014 * [taylor]: Taking taylor expansion of 2.0 in re
5.014 * [backup-simplify]: Simplify 2.0 into 2.0
5.014 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.014 * [taylor]: Taking taylor expansion of (sqrt 2) in re
5.014 * [taylor]: Taking taylor expansion of 2 in re
5.014 * [backup-simplify]: Simplify 2 into 2
5.015 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.015 * [taylor]: Taking taylor expansion of (sqrt re) in re
5.015 * [taylor]: Taking taylor expansion of re in re
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 1 into 1
5.015 * [backup-simplify]: Simplify (sqrt 0) into 0
5.016 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.017 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
5.018 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
5.018 * [backup-simplify]: Simplify 0 into 0
5.018 * [backup-simplify]: Simplify 0 into 0
5.019 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
5.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.019 * [backup-simplify]: Simplify (+ 0 0) into 0
5.020 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
5.020 * [backup-simplify]: Simplify (- 0) into 0
5.020 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
5.021 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
5.021 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))
5.022 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.023 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
5.024 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt re) (sqrt 2))))) into 0
5.024 * [taylor]: Taking taylor expansion of 0 in re
5.024 * [backup-simplify]: Simplify 0 into 0
5.024 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
5.029 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
5.032 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
5.033 * [backup-simplify]: Simplify 0 into 0
5.034 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
5.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.036 * [backup-simplify]: Simplify (+ 0 0) into 0
5.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
5.036 * [backup-simplify]: Simplify (- 0) into 0
5.037 * [backup-simplify]: Simplify (+ 0 0) into 0
5.037 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0
5.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))))))) (* 2 (* (sqrt re) (sqrt 2)))) into 0
5.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.041 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
5.043 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
5.043 * [taylor]: Taking taylor expansion of 1/4 in re
5.043 * [backup-simplify]: Simplify 1/4 into 1/4
5.043 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
5.043 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
5.043 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.043 * [taylor]: Taking taylor expansion of 2.0 in re
5.043 * [backup-simplify]: Simplify 2.0 into 2.0
5.043 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.044 * [taylor]: Taking taylor expansion of (sqrt 2) in re
5.044 * [taylor]: Taking taylor expansion of 2 in re
5.044 * [backup-simplify]: Simplify 2 into 2
5.044 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.045 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
5.045 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
5.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
5.045 * [taylor]: Taking taylor expansion of (pow re 3) in re
5.045 * [taylor]: Taking taylor expansion of re in re
5.045 * [backup-simplify]: Simplify 0 into 0
5.045 * [backup-simplify]: Simplify 1 into 1
5.045 * [backup-simplify]: Simplify (* 1 1) into 1
5.046 * [backup-simplify]: Simplify (* 1 1) into 1
5.046 * [backup-simplify]: Simplify (/ 1 1) into 1
5.046 * [backup-simplify]: Simplify (sqrt 0) into 0
5.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.050 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.051 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
5.051 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.052 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
5.053 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
5.058 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
5.062 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
5.063 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
5.071 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
5.075 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
5.075 * [backup-simplify]: Simplify 0 into 0
5.078 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.079 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
5.080 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.082 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
5.086 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
5.089 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
5.100 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
5.100 * [backup-simplify]: Simplify (/ (sqrt (* (* (/ 1 im) (/ 1 im)) 2.0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))
5.101 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0
5.101 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
5.101 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
5.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.101 * [taylor]: Taking taylor expansion of 2.0 in re
5.101 * [backup-simplify]: Simplify 2.0 into 2.0
5.101 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.102 * [taylor]: Taking taylor expansion of im in re
5.102 * [backup-simplify]: Simplify im into im
5.102 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
5.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
5.102 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
5.102 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
5.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.103 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.103 * [taylor]: Taking taylor expansion of im in re
5.103 * [backup-simplify]: Simplify im into im
5.103 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.103 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.103 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.103 * [taylor]: Taking taylor expansion of re in re
5.103 * [backup-simplify]: Simplify 0 into 0
5.103 * [backup-simplify]: Simplify 1 into 1
5.103 * [backup-simplify]: Simplify (* 1 1) into 1
5.104 * [backup-simplify]: Simplify (/ 1 1) into 1
5.104 * [backup-simplify]: Simplify (+ 0 1) into 1
5.105 * [backup-simplify]: Simplify (sqrt 1) into 1
5.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.106 * [backup-simplify]: Simplify (+ 0 0) into 0
5.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.107 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.107 * [taylor]: Taking taylor expansion of re in re
5.107 * [backup-simplify]: Simplify 0 into 0
5.107 * [backup-simplify]: Simplify 1 into 1
5.108 * [backup-simplify]: Simplify (/ 1 1) into 1
5.108 * [backup-simplify]: Simplify (- 1) into -1
5.108 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.118 * [backup-simplify]: Simplify (- 0) into 0
5.118 * [backup-simplify]: Simplify (+ 0 0) into 0
5.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.121 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.122 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.123 * [backup-simplify]: Simplify (- 0) into 0
5.123 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.124 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
5.124 * [backup-simplify]: Simplify (sqrt 0) into 0
5.125 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
5.125 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
5.125 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.125 * [taylor]: Taking taylor expansion of 2.0 in im
5.125 * [backup-simplify]: Simplify 2.0 into 2.0
5.125 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.126 * [taylor]: Taking taylor expansion of im in im
5.126 * [backup-simplify]: Simplify 0 into 0
5.126 * [backup-simplify]: Simplify 1 into 1
5.127 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.127 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
5.127 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
5.127 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
5.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.127 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.127 * [taylor]: Taking taylor expansion of im in im
5.127 * [backup-simplify]: Simplify 0 into 0
5.127 * [backup-simplify]: Simplify 1 into 1
5.128 * [backup-simplify]: Simplify (* 1 1) into 1
5.129 * [backup-simplify]: Simplify (/ 1 1) into 1
5.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.129 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.129 * [taylor]: Taking taylor expansion of re in im
5.129 * [backup-simplify]: Simplify re into re
5.129 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.129 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.129 * [backup-simplify]: Simplify (+ 1 0) into 1
5.130 * [backup-simplify]: Simplify (sqrt 1) into 1
5.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.132 * [backup-simplify]: Simplify (+ 0 0) into 0
5.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.132 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.132 * [taylor]: Taking taylor expansion of re in im
5.132 * [backup-simplify]: Simplify re into re
5.132 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.133 * [backup-simplify]: Simplify (+ 1 0) into 1
5.133 * [backup-simplify]: Simplify (/ 1 1) into 1
5.134 * [backup-simplify]: Simplify (sqrt 0) into 0
5.135 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.135 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
5.135 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.135 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.135 * [taylor]: Taking taylor expansion of 2.0 in im
5.135 * [backup-simplify]: Simplify 2.0 into 2.0
5.136 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.136 * [taylor]: Taking taylor expansion of im in im
5.136 * [backup-simplify]: Simplify 0 into 0
5.136 * [backup-simplify]: Simplify 1 into 1
5.137 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.137 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
5.137 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
5.137 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
5.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.138 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.138 * [taylor]: Taking taylor expansion of im in im
5.138 * [backup-simplify]: Simplify 0 into 0
5.138 * [backup-simplify]: Simplify 1 into 1
5.138 * [backup-simplify]: Simplify (* 1 1) into 1
5.138 * [backup-simplify]: Simplify (/ 1 1) into 1
5.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.138 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.139 * [taylor]: Taking taylor expansion of re in im
5.139 * [backup-simplify]: Simplify re into re
5.139 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.139 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.139 * [backup-simplify]: Simplify (+ 1 0) into 1
5.140 * [backup-simplify]: Simplify (sqrt 1) into 1
5.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.141 * [backup-simplify]: Simplify (+ 0 0) into 0
5.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.142 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.142 * [taylor]: Taking taylor expansion of re in im
5.142 * [backup-simplify]: Simplify re into re
5.142 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.143 * [backup-simplify]: Simplify (+ 1 0) into 1
5.143 * [backup-simplify]: Simplify (/ 1 1) into 1
5.144 * [backup-simplify]: Simplify (sqrt 0) into 0
5.145 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.146 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.146 * [taylor]: Taking taylor expansion of 0 in re
5.146 * [backup-simplify]: Simplify 0 into 0
5.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.149 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.149 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
5.149 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.149 * [taylor]: Taking taylor expansion of +nan.0 in re
5.149 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.149 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.149 * [taylor]: Taking taylor expansion of 2.0 in re
5.149 * [backup-simplify]: Simplify 2.0 into 2.0
5.149 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
5.150 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
5.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
5.152 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
5.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.156 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.157 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.157 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.157 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.157 * [taylor]: Taking taylor expansion of +nan.0 in re
5.157 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.157 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.157 * [taylor]: Taking taylor expansion of 2.0 in re
5.157 * [backup-simplify]: Simplify 2.0 into 2.0
5.157 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.158 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.158 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.158 * [taylor]: Taking taylor expansion of +nan.0 in re
5.158 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.158 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.158 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.158 * [taylor]: Taking taylor expansion of 2.0 in re
5.158 * [backup-simplify]: Simplify 2.0 into 2.0
5.159 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.159 * [taylor]: Taking taylor expansion of re in re
5.159 * [backup-simplify]: Simplify 0 into 0
5.159 * [backup-simplify]: Simplify 1 into 1
5.160 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.161 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.163 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.165 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.166 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.167 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.168 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.168 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.169 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.169 * [backup-simplify]: Simplify 0 into 0
5.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.171 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
5.171 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.172 * [backup-simplify]: Simplify (- 0) into 0
5.172 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
5.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
5.173 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
5.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.175 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
5.175 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
5.175 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
5.175 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.175 * [taylor]: Taking taylor expansion of +nan.0 in re
5.175 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.175 * [taylor]: Taking taylor expansion of 2.0 in re
5.175 * [backup-simplify]: Simplify 2.0 into 2.0
5.176 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.176 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.176 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.176 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
5.176 * [taylor]: Taking taylor expansion of +nan.0 in re
5.176 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.176 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
5.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.176 * [taylor]: Taking taylor expansion of 2.0 in re
5.176 * [backup-simplify]: Simplify 2.0 into 2.0
5.177 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.177 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.177 * [taylor]: Taking taylor expansion of re in re
5.177 * [backup-simplify]: Simplify 0 into 0
5.177 * [backup-simplify]: Simplify 1 into 1
5.177 * [backup-simplify]: Simplify (* 1 1) into 1
5.178 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.178 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.178 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.178 * [taylor]: Taking taylor expansion of +nan.0 in re
5.178 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.178 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.178 * [taylor]: Taking taylor expansion of 2.0 in re
5.178 * [backup-simplify]: Simplify 2.0 into 2.0
5.178 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.179 * [taylor]: Taking taylor expansion of re in re
5.179 * [backup-simplify]: Simplify 0 into 0
5.179 * [backup-simplify]: Simplify 1 into 1
5.179 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.181 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.181 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.182 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.183 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.185 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.186 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.187 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.188 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.192 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
5.192 * [backup-simplify]: Simplify (/ (sqrt (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))
5.192 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0
5.192 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
5.192 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
5.192 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.192 * [taylor]: Taking taylor expansion of 2.0 in re
5.192 * [backup-simplify]: Simplify 2.0 into 2.0
5.193 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.194 * [taylor]: Taking taylor expansion of im in re
5.194 * [backup-simplify]: Simplify im into im
5.194 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
5.194 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
5.194 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.194 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.194 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.194 * [taylor]: Taking taylor expansion of re in re
5.194 * [backup-simplify]: Simplify 0 into 0
5.194 * [backup-simplify]: Simplify 1 into 1
5.195 * [backup-simplify]: Simplify (/ 1 1) into 1
5.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.195 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.195 * [taylor]: Taking taylor expansion of im in re
5.195 * [backup-simplify]: Simplify im into im
5.195 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.195 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.195 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.195 * [taylor]: Taking taylor expansion of re in re
5.195 * [backup-simplify]: Simplify 0 into 0
5.195 * [backup-simplify]: Simplify 1 into 1
5.196 * [backup-simplify]: Simplify (* 1 1) into 1
5.196 * [backup-simplify]: Simplify (/ 1 1) into 1
5.196 * [backup-simplify]: Simplify (+ 0 1) into 1
5.197 * [backup-simplify]: Simplify (sqrt 1) into 1
5.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.199 * [backup-simplify]: Simplify (+ 0 0) into 0
5.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.200 * [backup-simplify]: Simplify (+ 1 1) into 2
5.200 * [backup-simplify]: Simplify (/ 1 2) into 1/2
5.200 * [backup-simplify]: Simplify (sqrt 0) into 0
5.202 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
5.202 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
5.202 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.202 * [taylor]: Taking taylor expansion of 2.0 in im
5.202 * [backup-simplify]: Simplify 2.0 into 2.0
5.203 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.203 * [taylor]: Taking taylor expansion of im in im
5.203 * [backup-simplify]: Simplify 0 into 0
5.203 * [backup-simplify]: Simplify 1 into 1
5.204 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
5.205 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
5.205 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.205 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.205 * [taylor]: Taking taylor expansion of re in im
5.205 * [backup-simplify]: Simplify re into re
5.205 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.205 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.205 * [taylor]: Taking taylor expansion of im in im
5.205 * [backup-simplify]: Simplify 0 into 0
5.205 * [backup-simplify]: Simplify 1 into 1
5.205 * [backup-simplify]: Simplify (* 1 1) into 1
5.206 * [backup-simplify]: Simplify (/ 1 1) into 1
5.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.206 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.206 * [taylor]: Taking taylor expansion of re in im
5.206 * [backup-simplify]: Simplify re into re
5.206 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.206 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.207 * [backup-simplify]: Simplify (+ 1 0) into 1
5.207 * [backup-simplify]: Simplify (sqrt 1) into 1
5.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.209 * [backup-simplify]: Simplify (+ 0 0) into 0
5.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.210 * [backup-simplify]: Simplify (+ 0 1) into 1
5.210 * [backup-simplify]: Simplify (/ 1 1) into 1
5.211 * [backup-simplify]: Simplify (sqrt 0) into 0
5.212 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.212 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
5.212 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.213 * [taylor]: Taking taylor expansion of 2.0 in im
5.213 * [backup-simplify]: Simplify 2.0 into 2.0
5.213 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.214 * [taylor]: Taking taylor expansion of im in im
5.214 * [backup-simplify]: Simplify 0 into 0
5.214 * [backup-simplify]: Simplify 1 into 1
5.215 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
5.215 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
5.215 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.215 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.215 * [taylor]: Taking taylor expansion of re in im
5.215 * [backup-simplify]: Simplify re into re
5.215 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.215 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.215 * [taylor]: Taking taylor expansion of im in im
5.215 * [backup-simplify]: Simplify 0 into 0
5.215 * [backup-simplify]: Simplify 1 into 1
5.216 * [backup-simplify]: Simplify (* 1 1) into 1
5.216 * [backup-simplify]: Simplify (/ 1 1) into 1
5.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.216 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.216 * [taylor]: Taking taylor expansion of re in im
5.216 * [backup-simplify]: Simplify re into re
5.216 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.216 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.217 * [backup-simplify]: Simplify (+ 1 0) into 1
5.217 * [backup-simplify]: Simplify (sqrt 1) into 1
5.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.219 * [backup-simplify]: Simplify (+ 0 0) into 0
5.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.220 * [backup-simplify]: Simplify (+ 0 1) into 1
5.221 * [backup-simplify]: Simplify (/ 1 1) into 1
5.221 * [backup-simplify]: Simplify (sqrt 0) into 0
5.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.223 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.223 * [taylor]: Taking taylor expansion of 0 in re
5.223 * [backup-simplify]: Simplify 0 into 0
5.223 * [backup-simplify]: Simplify 0 into 0
5.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.225 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.225 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
5.225 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.225 * [taylor]: Taking taylor expansion of +nan.0 in re
5.225 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.225 * [taylor]: Taking taylor expansion of 2.0 in re
5.225 * [backup-simplify]: Simplify 2.0 into 2.0
5.226 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.227 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.228 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.228 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.229 * [backup-simplify]: Simplify 0 into 0
5.229 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
5.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
5.230 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
5.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.232 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.232 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.232 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.232 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.232 * [taylor]: Taking taylor expansion of +nan.0 in re
5.232 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.232 * [taylor]: Taking taylor expansion of 2.0 in re
5.232 * [backup-simplify]: Simplify 2.0 into 2.0
5.232 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.233 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.233 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.233 * [taylor]: Taking taylor expansion of +nan.0 in re
5.233 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.233 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.233 * [taylor]: Taking taylor expansion of 2.0 in re
5.233 * [backup-simplify]: Simplify 2.0 into 2.0
5.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.233 * [taylor]: Taking taylor expansion of re in re
5.233 * [backup-simplify]: Simplify 0 into 0
5.234 * [backup-simplify]: Simplify 1 into 1
5.234 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.235 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.236 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.236 * [backup-simplify]: Simplify (- 0) into 0
5.243 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
5.245 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.246 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.247 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.247 * [backup-simplify]: Simplify (- 0) into 0
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.248 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
5.249 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.249 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
5.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
5.250 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
5.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.253 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
5.253 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
5.253 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
5.253 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.253 * [taylor]: Taking taylor expansion of +nan.0 in re
5.253 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.253 * [taylor]: Taking taylor expansion of 2.0 in re
5.253 * [backup-simplify]: Simplify 2.0 into 2.0
5.254 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.254 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.254 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.254 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
5.254 * [taylor]: Taking taylor expansion of +nan.0 in re
5.254 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.254 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
5.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.254 * [taylor]: Taking taylor expansion of 2.0 in re
5.254 * [backup-simplify]: Simplify 2.0 into 2.0
5.255 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.255 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.255 * [taylor]: Taking taylor expansion of re in re
5.255 * [backup-simplify]: Simplify 0 into 0
5.255 * [backup-simplify]: Simplify 1 into 1
5.255 * [backup-simplify]: Simplify (* 1 1) into 1
5.256 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.256 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.256 * [taylor]: Taking taylor expansion of +nan.0 in re
5.256 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.256 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.256 * [taylor]: Taking taylor expansion of 2.0 in re
5.256 * [backup-simplify]: Simplify 2.0 into 2.0
5.256 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.257 * [taylor]: Taking taylor expansion of re in re
5.257 * [backup-simplify]: Simplify 0 into 0
5.257 * [backup-simplify]: Simplify 1 into 1
5.258 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.259 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.260 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.265 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.267 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.268 * [backup-simplify]: Simplify (- 0) into 0
5.268 * [backup-simplify]: Simplify (+ 0 0) into 0
5.268 * [backup-simplify]: Simplify (- 0) into 0
5.270 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
5.272 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.274 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.279 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
5.279 * * * [progress]: simplifying candidates
5.284 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (* (* im im) 2.0)))
  (exp (sqrt (* (* im im) 2.0)))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (cbrt (sqrt (* (* im im) 2.0)))
  (* (* (sqrt (* (* im im) 2.0)) (sqrt (* (* im im) 2.0))) (sqrt (* (* im im) 2.0)))
  (sqrt (* im im))
  (sqrt 2.0)
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (* im im) 2.0)))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (- (log (sqrt (* (* im im) 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (sqrt (* (* im im) 2.0)) (sqrt (* (* im im) 2.0))) (sqrt (* (* im im) 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* im im) 2.0) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt (* (* im im) 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt 1))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt 1))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) 1)
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* im im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* im im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* im im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* im im)) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) 1)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt 1))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt 1))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) 1)
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 1)
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) 1)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  im
  re
  (* -1 re)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (* -1 (* (sqrt 2.0) im))
  (- im re)
  0
  (* -2 re)
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
  (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
5.291 * * [simplify]: Extracting # 0 : cost  0
5.291 * * [simplify]: Extracting # 1 : cost  0
5.292 * * [simplify]: Extracting # 2 : cost  0
5.292 * * [simplify]: Extracting # 3 : cost  0
5.293 * * [simplify]: Extracting # 4 : cost  0
5.293 * * [simplify]: Extracting # 5 : cost  0
5.294 * * [simplify]: Extracting # 6 : cost  0
5.294 * * [simplify]: Extracting # 7 : cost  0
5.294 * * [simplify]: Extracting # 8 : cost  0
5.295 * * [simplify]: Extracting # 9 : cost  0
5.295 * * [simplify]: Extracting # 10 : cost  0
5.296 * * [simplify]: Extracting # 11 : cost  0
5.296 * * [simplify]: Extracting # 12 : cost  0
5.297 * * [simplify]: iteration  0 :  195  enodes  (cost  2643 )
5.342 * * [simplify]: Extracting # 0 : cost  0
5.343 * * [simplify]: Extracting # 1 : cost  0
5.343 * * [simplify]: Extracting # 2 : cost  0
5.344 * * [simplify]: Extracting # 3 : cost  0
5.345 * * [simplify]: Extracting # 4 : cost  0
5.346 * * [simplify]: iteration  1 :  393  enodes  (cost  2410 )
5.537 * * [simplify]: Extracting # 0 : cost  0
5.540 * * [simplify]: Extracting # 1 : cost  0
5.542 * * [simplify]: Extracting # 2 : cost  0
5.545 * * [simplify]: Extracting # 3 : cost  0
5.547 * * [simplify]: Extracting # 4 : cost  0
5.550 * * [simplify]: iteration  2 :  1018  enodes  (cost  2314 )
6.251 * * [simplify]: Extracting # 0 : cost  0
6.255 * * [simplify]: Extracting # 1 : cost  0
6.258 * * [simplify]: Extracting # 2 : cost  0
6.261 * * [simplify]: Extracting # 3 : cost  0
6.264 * * [simplify]: Extracting # 4 : cost  0
6.267 * * [simplify]: iteration  3 :  2860  enodes  (cost  2285 )
7.750 * * [simplify]: Extracting # 0 : cost  0
7.756 * * [simplify]: Extracting # 1 : cost  0
7.762 * * [simplify]: Extracting # 2 : cost  0
7.768 * * [simplify]: Extracting # 3 : cost  0
7.774 * * [simplify]: Extracting # 4 : cost  0
7.785 * * [simplify]: iteration done:  5002  enodes  (cost  2279 )
7.787 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (* (* im im) 2.0)))
  (exp (sqrt (* (* im im) 2.0)))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (cbrt (sqrt (* (* im im) 2.0)))
  (pow (sqrt (* (* im im) 2.0)) 3)
  (fabs im)
  (sqrt 2.0)
  1/2
  1/2
  1/2
  (sqrt (sqrt (* (* im im) 2.0)))
  (sqrt (sqrt (* (* im im) 2.0)))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (pow (- (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re))))
  (- re)
  (* im im)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (* (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im)
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt (* (* im im) 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt (* (* im im) 2.0)) (fabs im))
  im
  re
  (- re)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (- (* (sqrt 2.0) im))
  (- im re)
  0
  (* -2 re)
  (* +nan.0 (+ (* (* (sqrt 2.0) (sqrt 2)) (- re (* re re))) (- (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)))))
  (- (* +nan.0 (- (sqrt 2.0) (* (/ (sqrt 2.0) im) (- re (/ re im))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- (/ +nan.0 im) +nan.0))))
7.789 * * * [progress]: adding candidates to table
8.250 * * [progress]: iteration 3 / 4
8.250 * * * [progress]: picking best candidate
8.298 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
8.298 * * * [progress]: localizing error
8.333 * * * [progress]: generating rewritten candidates
8.333 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
8.341 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
8.412 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
8.434 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
8.504 * * * [progress]: generating series expansions
8.504 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
8.504 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.504 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.504 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.504 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.504 * [taylor]: Taking taylor expansion of re in im
8.504 * [backup-simplify]: Simplify re into re
8.504 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.504 * [taylor]: Taking taylor expansion of im in im
8.504 * [backup-simplify]: Simplify 0 into 0
8.504 * [backup-simplify]: Simplify 1 into 1
8.504 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.504 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.504 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.504 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.505 * [backup-simplify]: Simplify (+ 0 0) into 0
8.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.505 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.505 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.505 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.505 * [taylor]: Taking taylor expansion of re in re
8.505 * [backup-simplify]: Simplify 0 into 0
8.505 * [backup-simplify]: Simplify 1 into 1
8.505 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.505 * [taylor]: Taking taylor expansion of im in re
8.505 * [backup-simplify]: Simplify im into im
8.505 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.506 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.506 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.506 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.506 * [backup-simplify]: Simplify (+ 0 0) into 0
8.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.506 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.506 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.506 * [taylor]: Taking taylor expansion of re in re
8.506 * [backup-simplify]: Simplify 0 into 0
8.506 * [backup-simplify]: Simplify 1 into 1
8.506 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.506 * [taylor]: Taking taylor expansion of im in re
8.506 * [backup-simplify]: Simplify im into im
8.506 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.506 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.507 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.507 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.507 * [backup-simplify]: Simplify (+ 0 0) into 0
8.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.507 * [taylor]: Taking taylor expansion of im in im
8.507 * [backup-simplify]: Simplify 0 into 0
8.507 * [backup-simplify]: Simplify 1 into 1
8.507 * [backup-simplify]: Simplify 0 into 0
8.507 * [taylor]: Taking taylor expansion of 0 in im
8.507 * [backup-simplify]: Simplify 0 into 0
8.507 * [backup-simplify]: Simplify 0 into 0
8.507 * [backup-simplify]: Simplify 1 into 1
8.508 * [backup-simplify]: Simplify (* 1 1) into 1
8.508 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.511 * [backup-simplify]: Simplify (+ 1 0) into 1
8.512 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.512 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.512 * [taylor]: Taking taylor expansion of 1/2 in im
8.512 * [backup-simplify]: Simplify 1/2 into 1/2
8.512 * [taylor]: Taking taylor expansion of im in im
8.512 * [backup-simplify]: Simplify 0 into 0
8.512 * [backup-simplify]: Simplify 1 into 1
8.512 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.513 * [backup-simplify]: Simplify 0 into 0
8.513 * [backup-simplify]: Simplify 0 into 0
8.513 * [backup-simplify]: Simplify 0 into 0
8.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.514 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.514 * [backup-simplify]: Simplify (+ 0 0) into 0
8.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.514 * [taylor]: Taking taylor expansion of 0 in im
8.514 * [backup-simplify]: Simplify 0 into 0
8.514 * [backup-simplify]: Simplify 0 into 0
8.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.515 * [backup-simplify]: Simplify 0 into 0
8.515 * [backup-simplify]: Simplify 0 into 0
8.515 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.515 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.515 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.515 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.515 * [taylor]: Taking taylor expansion of im in im
8.515 * [backup-simplify]: Simplify 0 into 0
8.515 * [backup-simplify]: Simplify 1 into 1
8.516 * [backup-simplify]: Simplify (* 1 1) into 1
8.516 * [backup-simplify]: Simplify (/ 1 1) into 1
8.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.516 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.516 * [taylor]: Taking taylor expansion of re in im
8.516 * [backup-simplify]: Simplify re into re
8.516 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.516 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.516 * [backup-simplify]: Simplify (+ 1 0) into 1
8.517 * [backup-simplify]: Simplify (sqrt 1) into 1
8.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.518 * [backup-simplify]: Simplify (+ 0 0) into 0
8.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.518 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.518 * [taylor]: Taking taylor expansion of im in re
8.518 * [backup-simplify]: Simplify im into im
8.518 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.518 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.518 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.518 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.518 * [taylor]: Taking taylor expansion of re in re
8.518 * [backup-simplify]: Simplify 0 into 0
8.519 * [backup-simplify]: Simplify 1 into 1
8.519 * [backup-simplify]: Simplify (* 1 1) into 1
8.519 * [backup-simplify]: Simplify (/ 1 1) into 1
8.519 * [backup-simplify]: Simplify (+ 0 1) into 1
8.519 * [backup-simplify]: Simplify (sqrt 1) into 1
8.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.521 * [backup-simplify]: Simplify (+ 0 0) into 0
8.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.522 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.522 * [taylor]: Taking taylor expansion of im in re
8.522 * [backup-simplify]: Simplify im into im
8.522 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.522 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.522 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.522 * [taylor]: Taking taylor expansion of re in re
8.522 * [backup-simplify]: Simplify 0 into 0
8.522 * [backup-simplify]: Simplify 1 into 1
8.523 * [backup-simplify]: Simplify (* 1 1) into 1
8.523 * [backup-simplify]: Simplify (/ 1 1) into 1
8.523 * [backup-simplify]: Simplify (+ 0 1) into 1
8.524 * [backup-simplify]: Simplify (sqrt 1) into 1
8.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.526 * [backup-simplify]: Simplify (+ 0 0) into 0
8.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.526 * [taylor]: Taking taylor expansion of 1 in im
8.526 * [backup-simplify]: Simplify 1 into 1
8.527 * [taylor]: Taking taylor expansion of 0 in im
8.527 * [backup-simplify]: Simplify 0 into 0
8.527 * [backup-simplify]: Simplify 1 into 1
8.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.529 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.531 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.531 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.531 * [taylor]: Taking taylor expansion of 1/2 in im
8.531 * [backup-simplify]: Simplify 1/2 into 1/2
8.531 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.531 * [taylor]: Taking taylor expansion of im in im
8.531 * [backup-simplify]: Simplify 0 into 0
8.531 * [backup-simplify]: Simplify 1 into 1
8.531 * [backup-simplify]: Simplify (* 1 1) into 1
8.532 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.533 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.536 * [backup-simplify]: Simplify (+ 0 0) into 0
8.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.537 * [taylor]: Taking taylor expansion of 0 in im
8.537 * [backup-simplify]: Simplify 0 into 0
8.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.539 * [backup-simplify]: Simplify 0 into 0
8.539 * [backup-simplify]: Simplify 0 into 0
8.539 * [backup-simplify]: Simplify 0 into 0
8.539 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.540 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.540 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.540 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.540 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.540 * [taylor]: Taking taylor expansion of im in im
8.540 * [backup-simplify]: Simplify 0 into 0
8.540 * [backup-simplify]: Simplify 1 into 1
8.540 * [backup-simplify]: Simplify (* 1 1) into 1
8.540 * [backup-simplify]: Simplify (/ 1 1) into 1
8.540 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.540 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.541 * [taylor]: Taking taylor expansion of re in im
8.541 * [backup-simplify]: Simplify re into re
8.541 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.541 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.541 * [backup-simplify]: Simplify (+ 1 0) into 1
8.541 * [backup-simplify]: Simplify (sqrt 1) into 1
8.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.542 * [backup-simplify]: Simplify (+ 0 0) into 0
8.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.543 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.543 * [taylor]: Taking taylor expansion of im in re
8.543 * [backup-simplify]: Simplify im into im
8.543 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.543 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.543 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.543 * [taylor]: Taking taylor expansion of re in re
8.543 * [backup-simplify]: Simplify 0 into 0
8.543 * [backup-simplify]: Simplify 1 into 1
8.543 * [backup-simplify]: Simplify (* 1 1) into 1
8.543 * [backup-simplify]: Simplify (/ 1 1) into 1
8.544 * [backup-simplify]: Simplify (+ 0 1) into 1
8.544 * [backup-simplify]: Simplify (sqrt 1) into 1
8.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.545 * [backup-simplify]: Simplify (+ 0 0) into 0
8.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.545 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.546 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.546 * [taylor]: Taking taylor expansion of im in re
8.546 * [backup-simplify]: Simplify im into im
8.546 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.546 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.546 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.546 * [taylor]: Taking taylor expansion of re in re
8.546 * [backup-simplify]: Simplify 0 into 0
8.546 * [backup-simplify]: Simplify 1 into 1
8.546 * [backup-simplify]: Simplify (* 1 1) into 1
8.546 * [backup-simplify]: Simplify (/ 1 1) into 1
8.547 * [backup-simplify]: Simplify (+ 0 1) into 1
8.547 * [backup-simplify]: Simplify (sqrt 1) into 1
8.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.548 * [backup-simplify]: Simplify (+ 0 0) into 0
8.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.548 * [taylor]: Taking taylor expansion of 1 in im
8.548 * [backup-simplify]: Simplify 1 into 1
8.548 * [taylor]: Taking taylor expansion of 0 in im
8.548 * [backup-simplify]: Simplify 0 into 0
8.548 * [backup-simplify]: Simplify 1 into 1
8.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.550 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.550 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.551 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.551 * [taylor]: Taking taylor expansion of 1/2 in im
8.551 * [backup-simplify]: Simplify 1/2 into 1/2
8.551 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.551 * [taylor]: Taking taylor expansion of im in im
8.551 * [backup-simplify]: Simplify 0 into 0
8.551 * [backup-simplify]: Simplify 1 into 1
8.551 * [backup-simplify]: Simplify (* 1 1) into 1
8.551 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.552 * [backup-simplify]: Simplify 0 into 0
8.552 * [backup-simplify]: Simplify 0 into 0
8.552 * [backup-simplify]: Simplify 0 into 0
8.552 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.554 * [backup-simplify]: Simplify (+ 0 0) into 0
8.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.554 * [taylor]: Taking taylor expansion of 0 in im
8.554 * [backup-simplify]: Simplify 0 into 0
8.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.555 * [backup-simplify]: Simplify 0 into 0
8.555 * [backup-simplify]: Simplify 0 into 0
8.555 * [backup-simplify]: Simplify 0 into 0
8.555 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.556 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
8.556 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
8.556 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
8.556 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
8.556 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.556 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.556 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.556 * [taylor]: Taking taylor expansion of re in im
8.556 * [backup-simplify]: Simplify re into re
8.556 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.556 * [taylor]: Taking taylor expansion of im in im
8.556 * [backup-simplify]: Simplify 0 into 0
8.556 * [backup-simplify]: Simplify 1 into 1
8.556 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.556 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.556 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.556 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.556 * [backup-simplify]: Simplify (+ 0 0) into 0
8.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.557 * [taylor]: Taking taylor expansion of re in im
8.557 * [backup-simplify]: Simplify re into re
8.557 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.557 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.557 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.557 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.557 * [taylor]: Taking taylor expansion of re in re
8.557 * [backup-simplify]: Simplify 0 into 0
8.557 * [backup-simplify]: Simplify 1 into 1
8.557 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.557 * [taylor]: Taking taylor expansion of im in re
8.557 * [backup-simplify]: Simplify im into im
8.557 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.557 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.557 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.557 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.558 * [backup-simplify]: Simplify (+ 0 0) into 0
8.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.558 * [taylor]: Taking taylor expansion of re in re
8.558 * [backup-simplify]: Simplify 0 into 0
8.558 * [backup-simplify]: Simplify 1 into 1
8.558 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.558 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.558 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.558 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.558 * [taylor]: Taking taylor expansion of re in re
8.558 * [backup-simplify]: Simplify 0 into 0
8.558 * [backup-simplify]: Simplify 1 into 1
8.558 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.558 * [taylor]: Taking taylor expansion of im in re
8.558 * [backup-simplify]: Simplify im into im
8.558 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.558 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.558 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.558 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.559 * [backup-simplify]: Simplify (+ 0 0) into 0
8.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.559 * [taylor]: Taking taylor expansion of re in re
8.559 * [backup-simplify]: Simplify 0 into 0
8.559 * [backup-simplify]: Simplify 1 into 1
8.559 * [backup-simplify]: Simplify (- 0) into 0
8.559 * [backup-simplify]: Simplify (+ im 0) into im
8.559 * [taylor]: Taking taylor expansion of im in im
8.559 * [backup-simplify]: Simplify 0 into 0
8.559 * [backup-simplify]: Simplify 1 into 1
8.559 * [backup-simplify]: Simplify 0 into 0
8.559 * [backup-simplify]: Simplify (- 1) into -1
8.560 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.560 * [taylor]: Taking taylor expansion of -1 in im
8.560 * [backup-simplify]: Simplify -1 into -1
8.560 * [backup-simplify]: Simplify -1 into -1
8.560 * [backup-simplify]: Simplify 1 into 1
8.560 * [backup-simplify]: Simplify (* 1 1) into 1
8.560 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.561 * [backup-simplify]: Simplify (+ 1 0) into 1
8.561 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.561 * [backup-simplify]: Simplify (- 0) into 0
8.561 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
8.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.562 * [taylor]: Taking taylor expansion of 1/2 in im
8.562 * [backup-simplify]: Simplify 1/2 into 1/2
8.562 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.562 * [taylor]: Taking taylor expansion of im in im
8.562 * [backup-simplify]: Simplify 0 into 0
8.562 * [backup-simplify]: Simplify 1 into 1
8.562 * [backup-simplify]: Simplify (/ 1 1) into 1
8.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.563 * [backup-simplify]: Simplify 0 into 0
8.563 * [backup-simplify]: Simplify 0 into 0
8.563 * [backup-simplify]: Simplify 0 into 0
8.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.564 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.564 * [backup-simplify]: Simplify (+ 0 0) into 0
8.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.564 * [backup-simplify]: Simplify (- 0) into 0
8.564 * [backup-simplify]: Simplify (+ 0 0) into 0
8.564 * [taylor]: Taking taylor expansion of 0 in im
8.564 * [backup-simplify]: Simplify 0 into 0
8.565 * [backup-simplify]: Simplify 0 into 0
8.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.566 * [backup-simplify]: Simplify 0 into 0
8.566 * [backup-simplify]: Simplify 0 into 0
8.566 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
8.566 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
8.566 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
8.566 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.566 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.566 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.566 * [taylor]: Taking taylor expansion of im in im
8.566 * [backup-simplify]: Simplify 0 into 0
8.566 * [backup-simplify]: Simplify 1 into 1
8.566 * [backup-simplify]: Simplify (* 1 1) into 1
8.567 * [backup-simplify]: Simplify (/ 1 1) into 1
8.567 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.567 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.567 * [taylor]: Taking taylor expansion of re in im
8.567 * [backup-simplify]: Simplify re into re
8.567 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.567 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.567 * [backup-simplify]: Simplify (+ 1 0) into 1
8.567 * [backup-simplify]: Simplify (sqrt 1) into 1
8.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.568 * [backup-simplify]: Simplify (+ 0 0) into 0
8.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.569 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.569 * [taylor]: Taking taylor expansion of re in im
8.569 * [backup-simplify]: Simplify re into re
8.569 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.569 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.569 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.569 * [taylor]: Taking taylor expansion of im in re
8.569 * [backup-simplify]: Simplify im into im
8.569 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.569 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.569 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.569 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.569 * [taylor]: Taking taylor expansion of re in re
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [backup-simplify]: Simplify 1 into 1
8.570 * [backup-simplify]: Simplify (* 1 1) into 1
8.570 * [backup-simplify]: Simplify (/ 1 1) into 1
8.570 * [backup-simplify]: Simplify (+ 0 1) into 1
8.570 * [backup-simplify]: Simplify (sqrt 1) into 1
8.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.571 * [backup-simplify]: Simplify (+ 0 0) into 0
8.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.572 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.572 * [taylor]: Taking taylor expansion of re in re
8.572 * [backup-simplify]: Simplify 0 into 0
8.572 * [backup-simplify]: Simplify 1 into 1
8.572 * [backup-simplify]: Simplify (/ 1 1) into 1
8.572 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.572 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.572 * [taylor]: Taking taylor expansion of im in re
8.572 * [backup-simplify]: Simplify im into im
8.572 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.572 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.572 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.573 * [taylor]: Taking taylor expansion of re in re
8.573 * [backup-simplify]: Simplify 0 into 0
8.573 * [backup-simplify]: Simplify 1 into 1
8.573 * [backup-simplify]: Simplify (* 1 1) into 1
8.573 * [backup-simplify]: Simplify (/ 1 1) into 1
8.573 * [backup-simplify]: Simplify (+ 0 1) into 1
8.574 * [backup-simplify]: Simplify (sqrt 1) into 1
8.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.575 * [backup-simplify]: Simplify (+ 0 0) into 0
8.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.575 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.575 * [taylor]: Taking taylor expansion of re in re
8.575 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify 1 into 1
8.575 * [backup-simplify]: Simplify (/ 1 1) into 1
8.576 * [backup-simplify]: Simplify (- 1) into -1
8.576 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.576 * [taylor]: Taking taylor expansion of 0 in im
8.576 * [backup-simplify]: Simplify 0 into 0
8.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.576 * [backup-simplify]: Simplify (- 0) into 0
8.577 * [backup-simplify]: Simplify (+ 0 0) into 0
8.577 * [taylor]: Taking taylor expansion of 0 in im
8.577 * [backup-simplify]: Simplify 0 into 0
8.577 * [backup-simplify]: Simplify 0 into 0
8.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.578 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.579 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.580 * [backup-simplify]: Simplify (- 0) into 0
8.580 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.580 * [taylor]: Taking taylor expansion of 1/2 in im
8.580 * [backup-simplify]: Simplify 1/2 into 1/2
8.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.580 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.580 * [taylor]: Taking taylor expansion of im in im
8.580 * [backup-simplify]: Simplify 0 into 0
8.580 * [backup-simplify]: Simplify 1 into 1
8.580 * [backup-simplify]: Simplify (* 1 1) into 1
8.580 * [backup-simplify]: Simplify (/ 1 1) into 1
8.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.582 * [backup-simplify]: Simplify 0 into 0
8.582 * [backup-simplify]: Simplify 0 into 0
8.582 * [backup-simplify]: Simplify 0 into 0
8.582 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.583 * [backup-simplify]: Simplify (+ 0 0) into 0
8.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.584 * [backup-simplify]: Simplify (- 0) into 0
8.585 * [backup-simplify]: Simplify (+ 0 0) into 0
8.585 * [taylor]: Taking taylor expansion of 0 in im
8.585 * [backup-simplify]: Simplify 0 into 0
8.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 0 into 0
8.587 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
8.587 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
8.587 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.587 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.587 * [taylor]: Taking taylor expansion of re in im
8.587 * [backup-simplify]: Simplify re into re
8.587 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.587 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.587 * [taylor]: Taking taylor expansion of im in im
8.587 * [backup-simplify]: Simplify 0 into 0
8.587 * [backup-simplify]: Simplify 1 into 1
8.587 * [backup-simplify]: Simplify (* 1 1) into 1
8.587 * [backup-simplify]: Simplify (/ 1 1) into 1
8.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.587 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.587 * [taylor]: Taking taylor expansion of re in im
8.587 * [backup-simplify]: Simplify re into re
8.588 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.588 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.588 * [backup-simplify]: Simplify (+ 1 0) into 1
8.588 * [backup-simplify]: Simplify (sqrt 1) into 1
8.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.590 * [backup-simplify]: Simplify (+ 0 0) into 0
8.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.591 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.591 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.591 * [taylor]: Taking taylor expansion of re in re
8.591 * [backup-simplify]: Simplify 0 into 0
8.591 * [backup-simplify]: Simplify 1 into 1
8.592 * [backup-simplify]: Simplify (/ 1 1) into 1
8.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.592 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.592 * [taylor]: Taking taylor expansion of im in re
8.592 * [backup-simplify]: Simplify im into im
8.592 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.592 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.592 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.592 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.592 * [taylor]: Taking taylor expansion of re in re
8.592 * [backup-simplify]: Simplify 0 into 0
8.592 * [backup-simplify]: Simplify 1 into 1
8.593 * [backup-simplify]: Simplify (* 1 1) into 1
8.593 * [backup-simplify]: Simplify (/ 1 1) into 1
8.594 * [backup-simplify]: Simplify (+ 0 1) into 1
8.594 * [backup-simplify]: Simplify (sqrt 1) into 1
8.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.596 * [backup-simplify]: Simplify (+ 0 0) into 0
8.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.597 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.597 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.597 * [taylor]: Taking taylor expansion of re in re
8.597 * [backup-simplify]: Simplify 0 into 0
8.597 * [backup-simplify]: Simplify 1 into 1
8.597 * [backup-simplify]: Simplify (/ 1 1) into 1
8.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.597 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.597 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.597 * [taylor]: Taking taylor expansion of im in re
8.597 * [backup-simplify]: Simplify im into im
8.597 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.598 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.598 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.598 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.598 * [taylor]: Taking taylor expansion of re in re
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify 1 into 1
8.598 * [backup-simplify]: Simplify (* 1 1) into 1
8.598 * [backup-simplify]: Simplify (/ 1 1) into 1
8.599 * [backup-simplify]: Simplify (+ 0 1) into 1
8.599 * [backup-simplify]: Simplify (sqrt 1) into 1
8.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.601 * [backup-simplify]: Simplify (+ 0 0) into 0
8.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.602 * [backup-simplify]: Simplify (+ 1 1) into 2
8.602 * [taylor]: Taking taylor expansion of 2 in im
8.602 * [backup-simplify]: Simplify 2 into 2
8.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.603 * [backup-simplify]: Simplify (+ 0 0) into 0
8.604 * [taylor]: Taking taylor expansion of 0 in im
8.604 * [backup-simplify]: Simplify 0 into 0
8.604 * [backup-simplify]: Simplify 2 into 2
8.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.607 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.608 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.608 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.608 * [taylor]: Taking taylor expansion of 1/2 in im
8.608 * [backup-simplify]: Simplify 1/2 into 1/2
8.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.608 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.608 * [taylor]: Taking taylor expansion of im in im
8.608 * [backup-simplify]: Simplify 0 into 0
8.608 * [backup-simplify]: Simplify 1 into 1
8.609 * [backup-simplify]: Simplify (* 1 1) into 1
8.609 * [backup-simplify]: Simplify (/ 1 1) into 1
8.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.611 * [backup-simplify]: Simplify 0 into 0
8.611 * [backup-simplify]: Simplify 0 into 0
8.611 * [backup-simplify]: Simplify 0 into 0
8.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.612 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.615 * [backup-simplify]: Simplify (+ 0 0) into 0
8.616 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.616 * [backup-simplify]: Simplify (+ 0 0) into 0
8.616 * [taylor]: Taking taylor expansion of 0 in im
8.616 * [backup-simplify]: Simplify 0 into 0
8.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify 0 into 0
8.620 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
8.620 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
8.620 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.620 * [approximate]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in (im) around 0
8.620 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.620 * [taylor]: Taking taylor expansion of (fabs im) in im
8.620 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.620 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.621 * [taylor]: Taking taylor expansion of 2.0 in im
8.621 * [backup-simplify]: Simplify 2.0 into 2.0
8.621 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.622 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.622 * [taylor]: Taking taylor expansion of (fabs im) in im
8.622 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.622 * [taylor]: Taking taylor expansion of 2.0 in im
8.622 * [backup-simplify]: Simplify 2.0 into 2.0
8.622 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.624 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.624 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.625 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0
8.625 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.627 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.627 * [backup-simplify]: Simplify 0 into 0
8.636 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.637 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
8.637 * [backup-simplify]: Simplify 0 into 0
8.639 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.641 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
8.641 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.644 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
8.644 * [backup-simplify]: Simplify 0 into 0
8.645 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.647 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0
8.647 * [backup-simplify]: Simplify 0 into 0
8.647 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.648 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.648 * [approximate]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in (im) around 0
8.648 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.648 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.648 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.648 * [taylor]: Taking taylor expansion of 2.0 in im
8.648 * [backup-simplify]: Simplify 2.0 into 2.0
8.649 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.650 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.650 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.650 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.650 * [taylor]: Taking taylor expansion of 2.0 in im
8.650 * [backup-simplify]: Simplify 2.0 into 2.0
8.650 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.652 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.652 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.653 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0
8.653 * [backup-simplify]: Simplify 0 into 0
8.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.655 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.655 * [backup-simplify]: Simplify 0 into 0
8.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.657 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
8.657 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.660 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
8.660 * [backup-simplify]: Simplify 0 into 0
8.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.663 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
8.663 * [backup-simplify]: Simplify 0 into 0
8.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.666 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0
8.666 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.667 * [backup-simplify]: Simplify (* (fabs (/ 1 (- im))) (sqrt 2.0)) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.667 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in (im) around 0
8.667 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
8.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.667 * [taylor]: Taking taylor expansion of 2.0 in im
8.667 * [backup-simplify]: Simplify 2.0 into 2.0
8.668 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.668 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.668 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.668 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
8.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.669 * [taylor]: Taking taylor expansion of 2.0 in im
8.669 * [backup-simplify]: Simplify 2.0 into 2.0
8.669 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.670 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.670 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.670 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.671 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.672 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.672 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.673 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.675 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0
8.675 * [backup-simplify]: Simplify 0 into 0
8.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.677 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))))) into 0
8.677 * [backup-simplify]: Simplify 0 into 0
8.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.679 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))))) into 0
8.679 * [backup-simplify]: Simplify 0 into 0
8.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.681 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))))))) into 0
8.681 * [backup-simplify]: Simplify 0 into 0
8.681 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))) into (* (fabs im) (sqrt 2.0))
8.681 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
8.682 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
8.682 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0
8.682 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
8.682 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re
8.682 * [taylor]: Taking taylor expansion of (fabs im) in re
8.682 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.682 * [taylor]: Taking taylor expansion of 2.0 in re
8.682 * [backup-simplify]: Simplify 2.0 into 2.0
8.682 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.683 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
8.683 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
8.683 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.683 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.683 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.683 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.683 * [taylor]: Taking taylor expansion of re in re
8.683 * [backup-simplify]: Simplify 0 into 0
8.683 * [backup-simplify]: Simplify 1 into 1
8.683 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.683 * [taylor]: Taking taylor expansion of im in re
8.683 * [backup-simplify]: Simplify im into im
8.683 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.683 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.684 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.684 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.684 * [backup-simplify]: Simplify (+ 0 0) into 0
8.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.684 * [taylor]: Taking taylor expansion of re in re
8.684 * [backup-simplify]: Simplify 0 into 0
8.684 * [backup-simplify]: Simplify 1 into 1
8.684 * [backup-simplify]: Simplify (- 0) into 0
8.684 * [backup-simplify]: Simplify (+ im 0) into im
8.684 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.684 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
8.685 * [backup-simplify]: Simplify (- 1) into -1
8.685 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
8.685 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
8.685 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
8.685 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.685 * [taylor]: Taking taylor expansion of (fabs im) in im
8.685 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.685 * [taylor]: Taking taylor expansion of 2.0 in im
8.685 * [backup-simplify]: Simplify 2.0 into 2.0
8.686 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
8.686 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
8.686 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
8.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.686 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.686 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.686 * [taylor]: Taking taylor expansion of re in im
8.686 * [backup-simplify]: Simplify re into re
8.686 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.686 * [taylor]: Taking taylor expansion of im in im
8.686 * [backup-simplify]: Simplify 0 into 0
8.686 * [backup-simplify]: Simplify 1 into 1
8.686 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.687 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.687 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.687 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.687 * [backup-simplify]: Simplify (+ 0 0) into 0
8.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.687 * [taylor]: Taking taylor expansion of re in im
8.687 * [backup-simplify]: Simplify re into re
8.687 * [backup-simplify]: Simplify (- re) into (- re)
8.687 * [backup-simplify]: Simplify (+ re (- re)) into 0
8.687 * [backup-simplify]: Simplify (- 0) into 0
8.688 * [backup-simplify]: Simplify (+ 0 0) into 0
8.688 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.688 * [backup-simplify]: Simplify (* 1 1) into 1
8.688 * [backup-simplify]: Simplify (+ 0 1) into 1
8.689 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
8.689 * [backup-simplify]: Simplify (- 0) into 0
8.689 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
8.689 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
8.689 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
8.690 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
8.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.690 * [backup-simplify]: Simplify (+ 0 0) into 0
8.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
8.691 * [backup-simplify]: Simplify (- 0) into 0
8.691 * [backup-simplify]: Simplify (+ 0 0) into 0
8.691 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
8.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
8.691 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
8.691 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.691 * [taylor]: Taking taylor expansion of (fabs im) in im
8.691 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.691 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.691 * [taylor]: Taking taylor expansion of 2.0 in im
8.691 * [backup-simplify]: Simplify 2.0 into 2.0
8.692 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
8.692 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
8.692 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
8.692 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.692 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.692 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.692 * [taylor]: Taking taylor expansion of re in im
8.692 * [backup-simplify]: Simplify re into re
8.692 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.692 * [taylor]: Taking taylor expansion of im in im
8.692 * [backup-simplify]: Simplify 0 into 0
8.692 * [backup-simplify]: Simplify 1 into 1
8.692 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.692 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.693 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.693 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.693 * [backup-simplify]: Simplify (+ 0 0) into 0
8.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.693 * [taylor]: Taking taylor expansion of re in im
8.693 * [backup-simplify]: Simplify re into re
8.693 * [backup-simplify]: Simplify (- re) into (- re)
8.693 * [backup-simplify]: Simplify (+ re (- re)) into 0
8.693 * [backup-simplify]: Simplify (- 0) into 0
8.694 * [backup-simplify]: Simplify (+ 0 0) into 0
8.694 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.694 * [backup-simplify]: Simplify (* 1 1) into 1
8.694 * [backup-simplify]: Simplify (+ 0 1) into 1
8.695 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
8.695 * [backup-simplify]: Simplify (- 0) into 0
8.695 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
8.695 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
8.695 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
8.696 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
8.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.696 * [backup-simplify]: Simplify (+ 0 0) into 0
8.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
8.697 * [backup-simplify]: Simplify (- 0) into 0
8.697 * [backup-simplify]: Simplify (+ 0 0) into 0
8.697 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
8.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
8.697 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.698 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) (* (sqrt re) (sqrt 2))) into (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re))
8.698 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re)) in re
8.698 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 2))) in re
8.698 * [taylor]: Taking taylor expansion of (fabs im) in re
8.698 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.698 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
8.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.698 * [taylor]: Taking taylor expansion of 2.0 in re
8.698 * [backup-simplify]: Simplify 2.0 into 2.0
8.698 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.699 * [taylor]: Taking taylor expansion of (sqrt 2) in re
8.699 * [taylor]: Taking taylor expansion of 2 in re
8.699 * [backup-simplify]: Simplify 2 into 2
8.699 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.700 * [taylor]: Taking taylor expansion of (sqrt re) in re
8.700 * [taylor]: Taking taylor expansion of re in re
8.700 * [backup-simplify]: Simplify 0 into 0
8.700 * [backup-simplify]: Simplify 1 into 1
8.700 * [backup-simplify]: Simplify (sqrt 0) into 0
8.701 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.703 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
8.704 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt 2.0) (sqrt 2))) into (* (fabs im) (* (sqrt 2.0) (sqrt 2)))
8.706 * [backup-simplify]: Simplify (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) 0) into 0
8.706 * [backup-simplify]: Simplify 0 into 0
8.707 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0
8.707 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) 0) (* 0 (* (sqrt re) (sqrt 2)))) into 0
8.707 * [taylor]: Taking taylor expansion of 0 in re
8.708 * [backup-simplify]: Simplify 0 into 0
8.708 * [backup-simplify]: Simplify 0 into 0
8.709 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
8.709 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt 2.0) (sqrt 2)))) into 0
8.711 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.713 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.714 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
8.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.715 * [backup-simplify]: Simplify (+ 0 0) into 0
8.716 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
8.717 * [backup-simplify]: Simplify (- 0) into 0
8.717 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
8.718 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
8.719 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))
8.720 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.721 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.724 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2))))) into (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
8.724 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
8.724 * [taylor]: Taking taylor expansion of 1/4 in re
8.724 * [backup-simplify]: Simplify 1/4 into 1/4
8.724 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
8.724 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) in re
8.724 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re
8.724 * [taylor]: Taking taylor expansion of (fabs im) in re
8.724 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.724 * [taylor]: Taking taylor expansion of 2.0 in re
8.724 * [backup-simplify]: Simplify 2.0 into 2.0
8.725 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.725 * [taylor]: Taking taylor expansion of (sqrt 2) in re
8.725 * [taylor]: Taking taylor expansion of 2 in re
8.725 * [backup-simplify]: Simplify 2 into 2
8.726 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.727 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.728 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))
8.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
8.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
8.728 * [taylor]: Taking taylor expansion of (pow re 3) in re
8.728 * [taylor]: Taking taylor expansion of re in re
8.728 * [backup-simplify]: Simplify 0 into 0
8.728 * [backup-simplify]: Simplify 1 into 1
8.728 * [backup-simplify]: Simplify (* 1 1) into 1
8.729 * [backup-simplify]: Simplify (* 1 1) into 1
8.729 * [backup-simplify]: Simplify (/ 1 1) into 1
8.730 * [backup-simplify]: Simplify (sqrt 0) into 0
8.731 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.736 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.736 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0
8.738 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
8.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.739 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
8.741 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
8.742 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.743 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.743 * [backup-simplify]: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) 0) into 0
8.745 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.745 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.745 * [backup-simplify]: Simplify 0 into 0
8.747 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
8.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.749 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
8.750 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (sqrt 2))))) into 0
8.751 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.752 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.755 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* (pow re 2) (/ 1 im))) (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) (* 1 im)) (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* re (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im)))))))
8.762 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))
8.762 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0
8.762 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
8.762 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.762 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.762 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.762 * [taylor]: Taking taylor expansion of 2.0 in re
8.762 * [backup-simplify]: Simplify 2.0 into 2.0
8.763 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.763 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
8.763 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
8.763 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.763 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.763 * [taylor]: Taking taylor expansion of im in re
8.764 * [backup-simplify]: Simplify im into im
8.764 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.764 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.764 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.764 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.764 * [taylor]: Taking taylor expansion of re in re
8.764 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify 1 into 1
8.764 * [backup-simplify]: Simplify (* 1 1) into 1
8.764 * [backup-simplify]: Simplify (/ 1 1) into 1
8.765 * [backup-simplify]: Simplify (+ 0 1) into 1
8.765 * [backup-simplify]: Simplify (sqrt 1) into 1
8.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.766 * [backup-simplify]: Simplify (+ 0 0) into 0
8.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.766 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.766 * [taylor]: Taking taylor expansion of re in re
8.766 * [backup-simplify]: Simplify 0 into 0
8.766 * [backup-simplify]: Simplify 1 into 1
8.767 * [backup-simplify]: Simplify (/ 1 1) into 1
8.767 * [backup-simplify]: Simplify (- 1) into -1
8.767 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.768 * [backup-simplify]: Simplify (- 0) into 0
8.768 * [backup-simplify]: Simplify (+ 0 0) into 0
8.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.769 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.770 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.771 * [backup-simplify]: Simplify (- 0) into 0
8.771 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.771 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
8.771 * [backup-simplify]: Simplify (sqrt 0) into 0
8.772 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
8.772 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
8.772 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.772 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.772 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.772 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.772 * [taylor]: Taking taylor expansion of 2.0 in im
8.772 * [backup-simplify]: Simplify 2.0 into 2.0
8.772 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.773 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
8.773 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
8.773 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.773 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.773 * [taylor]: Taking taylor expansion of im in im
8.773 * [backup-simplify]: Simplify 0 into 0
8.773 * [backup-simplify]: Simplify 1 into 1
8.773 * [backup-simplify]: Simplify (* 1 1) into 1
8.773 * [backup-simplify]: Simplify (/ 1 1) into 1
8.773 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.773 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.773 * [taylor]: Taking taylor expansion of re in im
8.773 * [backup-simplify]: Simplify re into re
8.773 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.774 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.774 * [backup-simplify]: Simplify (+ 1 0) into 1
8.774 * [backup-simplify]: Simplify (sqrt 1) into 1
8.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.775 * [backup-simplify]: Simplify (+ 0 0) into 0
8.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.776 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.776 * [taylor]: Taking taylor expansion of re in im
8.776 * [backup-simplify]: Simplify re into re
8.776 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.776 * [backup-simplify]: Simplify (+ 1 0) into 1
8.776 * [backup-simplify]: Simplify (/ 1 1) into 1
8.776 * [backup-simplify]: Simplify (sqrt 0) into 0
8.777 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.777 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
8.777 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.777 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.777 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.777 * [taylor]: Taking taylor expansion of 2.0 in im
8.777 * [backup-simplify]: Simplify 2.0 into 2.0
8.778 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
8.778 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
8.778 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.778 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.778 * [taylor]: Taking taylor expansion of im in im
8.778 * [backup-simplify]: Simplify 0 into 0
8.778 * [backup-simplify]: Simplify 1 into 1
8.779 * [backup-simplify]: Simplify (* 1 1) into 1
8.779 * [backup-simplify]: Simplify (/ 1 1) into 1
8.779 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.779 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.779 * [taylor]: Taking taylor expansion of re in im
8.779 * [backup-simplify]: Simplify re into re
8.779 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.779 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.779 * [backup-simplify]: Simplify (+ 1 0) into 1
8.780 * [backup-simplify]: Simplify (sqrt 1) into 1
8.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.781 * [backup-simplify]: Simplify (+ 0 0) into 0
8.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.781 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.781 * [taylor]: Taking taylor expansion of re in im
8.781 * [backup-simplify]: Simplify re into re
8.781 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.781 * [backup-simplify]: Simplify (+ 1 0) into 1
8.782 * [backup-simplify]: Simplify (/ 1 1) into 1
8.782 * [backup-simplify]: Simplify (sqrt 0) into 0
8.783 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.783 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.783 * [backup-simplify]: Simplify (* (* (fabs (/ 1 im)) (sqrt 2.0)) 0) into 0
8.783 * [taylor]: Taking taylor expansion of 0 in re
8.783 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0
8.784 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.784 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re
8.784 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
8.784 * [taylor]: Taking taylor expansion of +nan.0 in re
8.784 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.784 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.785 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.785 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.785 * [taylor]: Taking taylor expansion of 2.0 in re
8.785 * [backup-simplify]: Simplify 2.0 into 2.0
8.785 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.785 * [backup-simplify]: Simplify 0 into 0
8.785 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
8.785 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
8.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
8.786 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
8.787 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.788 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.788 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))
8.788 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re
8.788 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re
8.788 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
8.789 * [taylor]: Taking taylor expansion of +nan.0 in re
8.789 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.789 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.789 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.789 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.789 * [taylor]: Taking taylor expansion of 2.0 in re
8.789 * [backup-simplify]: Simplify 2.0 into 2.0
8.789 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.789 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re
8.789 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re
8.789 * [taylor]: Taking taylor expansion of +nan.0 in re
8.789 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.789 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re
8.789 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.790 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.790 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.790 * [taylor]: Taking taylor expansion of 2.0 in re
8.790 * [backup-simplify]: Simplify 2.0 into 2.0
8.790 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.790 * [taylor]: Taking taylor expansion of re in re
8.790 * [backup-simplify]: Simplify 0 into 0
8.790 * [backup-simplify]: Simplify 1 into 1
8.791 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.791 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.791 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
8.792 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.792 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.792 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.793 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.793 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.793 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
8.794 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.794 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.794 * [backup-simplify]: Simplify 0 into 0
8.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.795 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
8.796 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
8.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.796 * [backup-simplify]: Simplify (- 0) into 0
8.797 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
8.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
8.797 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
8.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.799 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
8.800 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))))
8.800 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re
8.800 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re
8.800 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
8.800 * [taylor]: Taking taylor expansion of +nan.0 in re
8.800 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.800 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.800 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.800 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.800 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.800 * [taylor]: Taking taylor expansion of 2.0 in re
8.801 * [backup-simplify]: Simplify 2.0 into 2.0
8.801 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.801 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re
8.801 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re
8.801 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re
8.801 * [taylor]: Taking taylor expansion of +nan.0 in re
8.801 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.801 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re
8.801 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.801 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.801 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.801 * [taylor]: Taking taylor expansion of 2.0 in re
8.802 * [backup-simplify]: Simplify 2.0 into 2.0
8.802 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.802 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.802 * [taylor]: Taking taylor expansion of re in re
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [backup-simplify]: Simplify 1 into 1
8.803 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.803 * [backup-simplify]: Simplify (* 1 1) into 1
8.803 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.803 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re
8.803 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re
8.803 * [taylor]: Taking taylor expansion of +nan.0 in re
8.803 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.803 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re
8.803 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.803 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.803 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.803 * [taylor]: Taking taylor expansion of 2.0 in re
8.803 * [backup-simplify]: Simplify 2.0 into 2.0
8.804 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.804 * [taylor]: Taking taylor expansion of re in re
8.804 * [backup-simplify]: Simplify 0 into 0
8.804 * [backup-simplify]: Simplify 1 into 1
8.804 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.805 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.805 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0
8.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0
8.807 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0
8.807 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
8.808 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.808 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.808 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.809 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.809 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.809 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.811 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 3))) (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* 1 (/ 1 im))) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3))))))))
8.812 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 (- im))) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))
8.812 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0
8.812 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
8.812 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.812 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.812 * [taylor]: Taking taylor expansion of 2.0 in re
8.812 * [backup-simplify]: Simplify 2.0 into 2.0
8.812 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.813 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.813 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.813 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
8.813 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
8.813 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.813 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.813 * [taylor]: Taking taylor expansion of re in re
8.813 * [backup-simplify]: Simplify 0 into 0
8.813 * [backup-simplify]: Simplify 1 into 1
8.813 * [backup-simplify]: Simplify (/ 1 1) into 1
8.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.813 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.813 * [taylor]: Taking taylor expansion of im in re
8.813 * [backup-simplify]: Simplify im into im
8.813 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.813 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.813 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.813 * [taylor]: Taking taylor expansion of re in re
8.813 * [backup-simplify]: Simplify 0 into 0
8.813 * [backup-simplify]: Simplify 1 into 1
8.814 * [backup-simplify]: Simplify (* 1 1) into 1
8.814 * [backup-simplify]: Simplify (/ 1 1) into 1
8.814 * [backup-simplify]: Simplify (+ 0 1) into 1
8.814 * [backup-simplify]: Simplify (sqrt 1) into 1
8.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.815 * [backup-simplify]: Simplify (+ 0 0) into 0
8.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.816 * [backup-simplify]: Simplify (+ 1 1) into 2
8.816 * [backup-simplify]: Simplify (/ 1 2) into 1/2
8.817 * [backup-simplify]: Simplify (sqrt 0) into 0
8.817 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
8.817 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
8.818 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
8.818 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.818 * [taylor]: Taking taylor expansion of 2.0 in im
8.818 * [backup-simplify]: Simplify 2.0 into 2.0
8.818 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.818 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.818 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.818 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
8.818 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
8.818 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.818 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.818 * [taylor]: Taking taylor expansion of re in im
8.818 * [backup-simplify]: Simplify re into re
8.819 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.819 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.819 * [taylor]: Taking taylor expansion of im in im
8.819 * [backup-simplify]: Simplify 0 into 0
8.819 * [backup-simplify]: Simplify 1 into 1
8.819 * [backup-simplify]: Simplify (* 1 1) into 1
8.819 * [backup-simplify]: Simplify (/ 1 1) into 1
8.819 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.819 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.819 * [taylor]: Taking taylor expansion of re in im
8.819 * [backup-simplify]: Simplify re into re
8.819 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.819 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.820 * [backup-simplify]: Simplify (+ 1 0) into 1
8.820 * [backup-simplify]: Simplify (sqrt 1) into 1
8.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.821 * [backup-simplify]: Simplify (+ 0 0) into 0
8.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.822 * [backup-simplify]: Simplify (+ 0 1) into 1
8.822 * [backup-simplify]: Simplify (/ 1 1) into 1
8.822 * [backup-simplify]: Simplify (sqrt 0) into 0
8.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.823 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
8.823 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
8.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.823 * [taylor]: Taking taylor expansion of 2.0 in im
8.823 * [backup-simplify]: Simplify 2.0 into 2.0
8.823 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.824 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.824 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.824 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
8.824 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
8.824 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.824 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.824 * [taylor]: Taking taylor expansion of re in im
8.824 * [backup-simplify]: Simplify re into re
8.824 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.824 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.824 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.824 * [taylor]: Taking taylor expansion of im in im
8.824 * [backup-simplify]: Simplify 0 into 0
8.824 * [backup-simplify]: Simplify 1 into 1
8.825 * [backup-simplify]: Simplify (* 1 1) into 1
8.825 * [backup-simplify]: Simplify (/ 1 1) into 1
8.825 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.825 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.825 * [taylor]: Taking taylor expansion of re in im
8.825 * [backup-simplify]: Simplify re into re
8.825 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.825 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.825 * [backup-simplify]: Simplify (+ 1 0) into 1
8.826 * [backup-simplify]: Simplify (sqrt 1) into 1
8.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.827 * [backup-simplify]: Simplify (+ 0 0) into 0
8.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.827 * [backup-simplify]: Simplify (+ 0 1) into 1
8.828 * [backup-simplify]: Simplify (/ 1 1) into 1
8.828 * [backup-simplify]: Simplify (sqrt 0) into 0
8.829 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.829 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.829 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0
8.829 * [taylor]: Taking taylor expansion of 0 in re
8.829 * [backup-simplify]: Simplify 0 into 0
8.829 * [backup-simplify]: Simplify 0 into 0
8.830 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.830 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.830 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
8.830 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
8.830 * [taylor]: Taking taylor expansion of +nan.0 in re
8.830 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.830 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.830 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.830 * [taylor]: Taking taylor expansion of 2.0 in re
8.830 * [backup-simplify]: Simplify 2.0 into 2.0
8.831 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.832 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.832 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.832 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.833 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
8.833 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.834 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.834 * [backup-simplify]: Simplify 0 into 0
8.834 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
8.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
8.836 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
8.837 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.838 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.840 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))
8.840 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re
8.840 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re
8.840 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
8.840 * [taylor]: Taking taylor expansion of +nan.0 in re
8.840 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.840 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
8.840 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.840 * [taylor]: Taking taylor expansion of 2.0 in re
8.840 * [backup-simplify]: Simplify 2.0 into 2.0
8.840 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.841 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.841 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.841 * [taylor]: Taking taylor expansion of re in re
8.841 * [backup-simplify]: Simplify 0 into 0
8.842 * [backup-simplify]: Simplify 1 into 1
8.842 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.842 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.843 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
8.843 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
8.843 * [taylor]: Taking taylor expansion of +nan.0 in re
8.843 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.843 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.843 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.843 * [taylor]: Taking taylor expansion of 2.0 in re
8.843 * [backup-simplify]: Simplify 2.0 into 2.0
8.843 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.844 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.844 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.845 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
8.847 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
8.848 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.849 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
8.849 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.850 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.850 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.851 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.852 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.853 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
8.853 * [backup-simplify]: Simplify (- 0) into 0
8.853 * [backup-simplify]: Simplify 0 into 0
8.853 * [backup-simplify]: Simplify 0 into 0
8.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.856 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
8.857 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
8.857 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
8.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
8.859 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
8.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.862 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0
8.864 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))))
8.865 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) in re
8.865 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))) in re
8.865 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
8.865 * [taylor]: Taking taylor expansion of +nan.0 in re
8.865 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.865 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
8.865 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.865 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.865 * [taylor]: Taking taylor expansion of 2.0 in re
8.865 * [backup-simplify]: Simplify 2.0 into 2.0
8.865 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.866 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.866 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.866 * [taylor]: Taking taylor expansion of re in re
8.866 * [backup-simplify]: Simplify 0 into 0
8.866 * [backup-simplify]: Simplify 1 into 1
8.867 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.867 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.867 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re
8.867 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re
8.867 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re
8.868 * [taylor]: Taking taylor expansion of +nan.0 in re
8.868 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.868 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re
8.868 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.868 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.868 * [taylor]: Taking taylor expansion of 2.0 in re
8.868 * [backup-simplify]: Simplify 2.0 into 2.0
8.868 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.869 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.869 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.869 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.869 * [taylor]: Taking taylor expansion of re in re
8.869 * [backup-simplify]: Simplify 0 into 0
8.869 * [backup-simplify]: Simplify 1 into 1
8.870 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.870 * [backup-simplify]: Simplify (* 1 1) into 1
8.870 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.871 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
8.871 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
8.871 * [taylor]: Taking taylor expansion of +nan.0 in re
8.871 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.871 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.871 * [taylor]: Taking taylor expansion of 2.0 in re
8.871 * [backup-simplify]: Simplify 2.0 into 2.0
8.871 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.872 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.872 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.880 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
8.883 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
8.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.886 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.887 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
8.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.892 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into 0
8.893 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.894 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
8.894 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.895 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.895 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.896 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.897 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.897 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.900 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* 1 (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2))))))))
8.900 * * * [progress]: simplifying candidates
8.903 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (* (fabs im) (sqrt 2.0))
  (+ (log (fabs im)) (log (sqrt 2.0)))
  (log (* (fabs im) (sqrt 2.0)))
  (exp (* (fabs im) (sqrt 2.0)))
  (* (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (* (fabs im) (sqrt 2.0))) (cbrt (* (fabs im) (sqrt 2.0))))
  (cbrt (* (fabs im) (sqrt 2.0)))
  (* (* (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0))) (* (fabs im) (sqrt 2.0)))
  (sqrt (* (fabs im) (sqrt 2.0)))
  (sqrt (* (fabs im) (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (fabs im) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (fabs im) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (* (fabs im) (sqrt (sqrt 2.0)))
  (* (fabs im) (sqrt 1))
  (* (fabs im) (sqrt (sqrt 2.0)))
  (* (fabs im) 1)
  (* (cbrt (fabs im)) (sqrt 2.0))
  (* (sqrt (fabs im)) (sqrt 2.0))
  (* (fabs im) (sqrt 2.0))
  (- (+ (log (fabs im)) (log (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0))) (* (fabs im) (sqrt 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (* (fabs im) (sqrt 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) 1)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (fabs im) (sqrt 2.0)))
  (/ (* (fabs im) (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt 1))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt 1))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (fabs im) (sqrt 2.0)) 1)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (* (fabs im) (sqrt 2.0))
  (* (fabs im) (sqrt 2.0))
  (* (fabs im) (sqrt 2.0))
  (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im)))))))
  (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3))))))))
  (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2))))))))
8.906 * * [simplify]: Extracting # 0 : cost  0
8.906 * * [simplify]: Extracting # 1 : cost  0
8.907 * * [simplify]: Extracting # 2 : cost  0
8.907 * * [simplify]: Extracting # 3 : cost  0
8.907 * * [simplify]: Extracting # 4 : cost  0
8.907 * * [simplify]: Extracting # 5 : cost  0
8.907 * * [simplify]: Extracting # 6 : cost  0
8.908 * * [simplify]: Extracting # 7 : cost  0
8.908 * * [simplify]: Extracting # 8 : cost  0
8.908 * * [simplify]: Extracting # 9 : cost  0
8.908 * * [simplify]: Extracting # 10 : cost  0
8.909 * * [simplify]: Extracting # 11 : cost  0
8.909 * * [simplify]: Extracting # 12 : cost  0
8.909 * * [simplify]: Extracting # 13 : cost  0
8.909 * * [simplify]: Extracting # 14 : cost  0
8.909 * * [simplify]: Extracting # 15 : cost  0
8.910 * * [simplify]: Extracting # 16 : cost  0
8.910 * * [simplify]: iteration  0 :  193  enodes  (cost  1652 )
8.961 * * [simplify]: Extracting # 0 : cost  0
8.962 * * [simplify]: Extracting # 1 : cost  0
8.964 * * [simplify]: Extracting # 2 : cost  0
8.964 * * [simplify]: Extracting # 3 : cost  0
8.965 * * [simplify]: Extracting # 4 : cost  0
8.965 * * [simplify]: iteration  1 :  449  enodes  (cost  1480 )
9.194 * * [simplify]: Extracting # 0 : cost  0
9.196 * * [simplify]: Extracting # 1 : cost  0
9.198 * * [simplify]: Extracting # 2 : cost  0
9.200 * * [simplify]: Extracting # 3 : cost  0
9.202 * * [simplify]: Extracting # 4 : cost  0
9.205 * * [simplify]: iteration  2 :  1618  enodes  (cost  1364 )
10.251 * * [simplify]: Extracting # 0 : cost  0
10.264 * * [simplify]: Extracting # 1 : cost  0
10.275 * * [simplify]: Extracting # 2 : cost  0
10.287 * * [simplify]: Extracting # 3 : cost  0
10.305 * * [simplify]: Extracting # 4 : cost  0
10.316 * * [simplify]: iteration done:  5000  enodes  (cost  1333 )
10.318 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (pow (- (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re)) (* im im))
  (- re)
  (+ (* im im) 0)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (* (sqrt 2.0) (fabs im))
  (log (* (fabs im) (sqrt 2.0)))
  (log (* (fabs im) (sqrt 2.0)))
  (exp (* (fabs im) (sqrt 2.0)))
  (pow (* (sqrt 2.0) (fabs im)) 3)
  (* (cbrt (* (fabs im) (sqrt 2.0))) (cbrt (* (fabs im) (sqrt 2.0))))
  (cbrt (* (fabs im) (sqrt 2.0)))
  (pow (* (sqrt 2.0) (fabs im)) 3)
  (sqrt (* (fabs im) (sqrt 2.0)))
  (sqrt (* (fabs im) (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (fabs im) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (fabs (cbrt 2.0)) (fabs im))
  (* (fabs im) (sqrt (sqrt 2.0)))
  (fabs im)
  (* (fabs im) (sqrt (sqrt 2.0)))
  (fabs im)
  (* (cbrt (fabs im)) (sqrt 2.0))
  (* (sqrt (fabs im)) (sqrt 2.0))
  (* (sqrt 2.0) (fabs im))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (pow (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (* (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (* (fabs im) (sqrt 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (fabs im) (sqrt 2.0)))
  (/ (* (fabs im) (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0)))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (fabs im))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* (sqrt 2.0) (fabs im))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (fabs im))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt 2.0) (/ (sqrt (+ (* im im) 0)) (fabs im)))
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
  (* (sqrt 2.0) (fabs im))
  (* (sqrt 2.0) (fabs im))
  (* (sqrt 2.0) (fabs im))
  (* +nan.0 (+ (- (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2)) (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im))))
  (+ (/ +nan.0 (/ im (* (sqrt 2.0) (fabs im)))) (- (* (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2)) (+ (/ +nan.0 im) +nan.0))))
  (* +nan.0 (+ (* (/ (fabs im) im) (- (sqrt 2.0) (/ (sqrt 2.0) im))) (- (/ (* (fabs im) (sqrt 2.0)) (pow im 3)))))
10.319 * * * [progress]: adding candidates to table
10.676 * * [progress]: iteration 4 / 4
10.677 * * * [progress]: picking best candidate
10.719 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))>
10.719 * * * [progress]: localizing error
10.748 * * * [progress]: generating rewritten candidates
10.748 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1)
10.757 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
10.781 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1)
10.867 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
10.931 * * * [progress]: generating series expansions
10.931 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1)
10.932 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
10.932 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
10.932 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
10.932 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
10.932 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.932 * [taylor]: Taking taylor expansion of re in im
10.932 * [backup-simplify]: Simplify re into re
10.932 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.932 * [taylor]: Taking taylor expansion of im in im
10.932 * [backup-simplify]: Simplify 0 into 0
10.932 * [backup-simplify]: Simplify 1 into 1
10.933 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.933 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.933 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.933 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.934 * [backup-simplify]: Simplify (+ 0 0) into 0
10.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.934 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.934 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.934 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.934 * [taylor]: Taking taylor expansion of re in re
10.934 * [backup-simplify]: Simplify 0 into 0
10.934 * [backup-simplify]: Simplify 1 into 1
10.934 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.934 * [taylor]: Taking taylor expansion of im in re
10.934 * [backup-simplify]: Simplify im into im
10.934 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.934 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.935 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.935 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.935 * [backup-simplify]: Simplify (+ 0 0) into 0
10.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.935 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.935 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.935 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.935 * [taylor]: Taking taylor expansion of re in re
10.936 * [backup-simplify]: Simplify 0 into 0
10.936 * [backup-simplify]: Simplify 1 into 1
10.936 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.936 * [taylor]: Taking taylor expansion of im in re
10.936 * [backup-simplify]: Simplify im into im
10.936 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.936 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.936 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.936 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.937 * [backup-simplify]: Simplify (+ 0 0) into 0
10.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.937 * [taylor]: Taking taylor expansion of im in im
10.937 * [backup-simplify]: Simplify 0 into 0
10.937 * [backup-simplify]: Simplify 1 into 1
10.937 * [backup-simplify]: Simplify 0 into 0
10.937 * [taylor]: Taking taylor expansion of 0 in im
10.937 * [backup-simplify]: Simplify 0 into 0
10.937 * [backup-simplify]: Simplify 0 into 0
10.937 * [backup-simplify]: Simplify 1 into 1
10.938 * [backup-simplify]: Simplify (* 1 1) into 1
10.938 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.938 * [backup-simplify]: Simplify (+ 1 0) into 1
10.939 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.939 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.939 * [taylor]: Taking taylor expansion of 1/2 in im
10.939 * [backup-simplify]: Simplify 1/2 into 1/2
10.939 * [taylor]: Taking taylor expansion of im in im
10.939 * [backup-simplify]: Simplify 0 into 0
10.940 * [backup-simplify]: Simplify 1 into 1
10.940 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.941 * [backup-simplify]: Simplify 0 into 0
10.941 * [backup-simplify]: Simplify 0 into 0
10.941 * [backup-simplify]: Simplify 0 into 0
10.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.942 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.943 * [backup-simplify]: Simplify (+ 0 0) into 0
10.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.943 * [taylor]: Taking taylor expansion of 0 in im
10.943 * [backup-simplify]: Simplify 0 into 0
10.943 * [backup-simplify]: Simplify 0 into 0
10.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.945 * [backup-simplify]: Simplify 0 into 0
10.945 * [backup-simplify]: Simplify 0 into 0
10.945 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.945 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
10.945 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
10.945 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.945 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.945 * [taylor]: Taking taylor expansion of im in im
10.945 * [backup-simplify]: Simplify 0 into 0
10.945 * [backup-simplify]: Simplify 1 into 1
10.946 * [backup-simplify]: Simplify (* 1 1) into 1
10.946 * [backup-simplify]: Simplify (/ 1 1) into 1
10.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.946 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.946 * [taylor]: Taking taylor expansion of re in im
10.946 * [backup-simplify]: Simplify re into re
10.946 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.947 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.947 * [backup-simplify]: Simplify (+ 1 0) into 1
10.947 * [backup-simplify]: Simplify (sqrt 1) into 1
10.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.949 * [backup-simplify]: Simplify (+ 0 0) into 0
10.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.950 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.950 * [taylor]: Taking taylor expansion of im in re
10.950 * [backup-simplify]: Simplify im into im
10.950 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.951 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.951 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.951 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.951 * [taylor]: Taking taylor expansion of re in re
10.951 * [backup-simplify]: Simplify 0 into 0
10.951 * [backup-simplify]: Simplify 1 into 1
10.951 * [backup-simplify]: Simplify (* 1 1) into 1
10.951 * [backup-simplify]: Simplify (/ 1 1) into 1
10.952 * [backup-simplify]: Simplify (+ 0 1) into 1
10.952 * [backup-simplify]: Simplify (sqrt 1) into 1
10.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.954 * [backup-simplify]: Simplify (+ 0 0) into 0
10.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.955 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.955 * [taylor]: Taking taylor expansion of im in re
10.955 * [backup-simplify]: Simplify im into im
10.955 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.955 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.955 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.955 * [taylor]: Taking taylor expansion of re in re
10.955 * [backup-simplify]: Simplify 0 into 0
10.955 * [backup-simplify]: Simplify 1 into 1
10.956 * [backup-simplify]: Simplify (* 1 1) into 1
10.956 * [backup-simplify]: Simplify (/ 1 1) into 1
10.957 * [backup-simplify]: Simplify (+ 0 1) into 1
10.957 * [backup-simplify]: Simplify (sqrt 1) into 1
10.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.959 * [backup-simplify]: Simplify (+ 0 0) into 0
10.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.960 * [taylor]: Taking taylor expansion of 1 in im
10.960 * [backup-simplify]: Simplify 1 into 1
10.960 * [taylor]: Taking taylor expansion of 0 in im
10.960 * [backup-simplify]: Simplify 0 into 0
10.960 * [backup-simplify]: Simplify 1 into 1
10.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.962 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.963 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.963 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.964 * [taylor]: Taking taylor expansion of 1/2 in im
10.964 * [backup-simplify]: Simplify 1/2 into 1/2
10.964 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.964 * [taylor]: Taking taylor expansion of im in im
10.964 * [backup-simplify]: Simplify 0 into 0
10.964 * [backup-simplify]: Simplify 1 into 1
10.964 * [backup-simplify]: Simplify (* 1 1) into 1
10.964 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.966 * [backup-simplify]: Simplify 0 into 0
10.966 * [backup-simplify]: Simplify 0 into 0
10.966 * [backup-simplify]: Simplify 0 into 0
10.966 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.969 * [backup-simplify]: Simplify (+ 0 0) into 0
10.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.969 * [taylor]: Taking taylor expansion of 0 in im
10.969 * [backup-simplify]: Simplify 0 into 0
10.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.970 * [backup-simplify]: Simplify 0 into 0
10.970 * [backup-simplify]: Simplify 0 into 0
10.970 * [backup-simplify]: Simplify 0 into 0
10.970 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.971 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
10.971 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
10.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.971 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.971 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.971 * [taylor]: Taking taylor expansion of im in im
10.971 * [backup-simplify]: Simplify 0 into 0
10.971 * [backup-simplify]: Simplify 1 into 1
10.971 * [backup-simplify]: Simplify (* 1 1) into 1
10.971 * [backup-simplify]: Simplify (/ 1 1) into 1
10.971 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.971 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.971 * [taylor]: Taking taylor expansion of re in im
10.971 * [backup-simplify]: Simplify re into re
10.971 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.971 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.972 * [backup-simplify]: Simplify (+ 1 0) into 1
10.972 * [backup-simplify]: Simplify (sqrt 1) into 1
10.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.973 * [backup-simplify]: Simplify (+ 0 0) into 0
10.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.974 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.974 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.974 * [taylor]: Taking taylor expansion of im in re
10.974 * [backup-simplify]: Simplify im into im
10.974 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.974 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.974 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.974 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.974 * [taylor]: Taking taylor expansion of re in re
10.974 * [backup-simplify]: Simplify 0 into 0
10.974 * [backup-simplify]: Simplify 1 into 1
10.974 * [backup-simplify]: Simplify (* 1 1) into 1
10.975 * [backup-simplify]: Simplify (/ 1 1) into 1
10.975 * [backup-simplify]: Simplify (+ 0 1) into 1
10.975 * [backup-simplify]: Simplify (sqrt 1) into 1
10.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.976 * [backup-simplify]: Simplify (+ 0 0) into 0
10.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.977 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.977 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.977 * [taylor]: Taking taylor expansion of im in re
10.977 * [backup-simplify]: Simplify im into im
10.977 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.977 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.977 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.977 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.977 * [taylor]: Taking taylor expansion of re in re
10.977 * [backup-simplify]: Simplify 0 into 0
10.977 * [backup-simplify]: Simplify 1 into 1
10.977 * [backup-simplify]: Simplify (* 1 1) into 1
10.977 * [backup-simplify]: Simplify (/ 1 1) into 1
10.978 * [backup-simplify]: Simplify (+ 0 1) into 1
10.978 * [backup-simplify]: Simplify (sqrt 1) into 1
10.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.979 * [backup-simplify]: Simplify (+ 0 0) into 0
10.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.979 * [taylor]: Taking taylor expansion of 1 in im
10.979 * [backup-simplify]: Simplify 1 into 1
10.979 * [taylor]: Taking taylor expansion of 0 in im
10.979 * [backup-simplify]: Simplify 0 into 0
10.979 * [backup-simplify]: Simplify 1 into 1
10.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.981 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.981 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.981 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.981 * [taylor]: Taking taylor expansion of 1/2 in im
10.982 * [backup-simplify]: Simplify 1/2 into 1/2
10.982 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.982 * [taylor]: Taking taylor expansion of im in im
10.982 * [backup-simplify]: Simplify 0 into 0
10.982 * [backup-simplify]: Simplify 1 into 1
10.982 * [backup-simplify]: Simplify (* 1 1) into 1
10.982 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.983 * [backup-simplify]: Simplify 0 into 0
10.983 * [backup-simplify]: Simplify 0 into 0
10.983 * [backup-simplify]: Simplify 0 into 0
10.983 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.985 * [backup-simplify]: Simplify (+ 0 0) into 0
10.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.985 * [taylor]: Taking taylor expansion of 0 in im
10.985 * [backup-simplify]: Simplify 0 into 0
10.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.986 * [backup-simplify]: Simplify 0 into 0
10.986 * [backup-simplify]: Simplify 0 into 0
10.986 * [backup-simplify]: Simplify 0 into 0
10.986 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.986 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
10.986 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
10.987 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
10.987 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
10.987 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
10.987 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.987 * [taylor]: Taking taylor expansion of re in im
10.987 * [backup-simplify]: Simplify re into re
10.987 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.987 * [taylor]: Taking taylor expansion of im in im
10.987 * [backup-simplify]: Simplify 0 into 0
10.987 * [backup-simplify]: Simplify 1 into 1
10.987 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.987 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.987 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.987 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.987 * [backup-simplify]: Simplify (+ 0 0) into 0
10.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.987 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.987 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.987 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.987 * [taylor]: Taking taylor expansion of re in re
10.987 * [backup-simplify]: Simplify 0 into 0
10.987 * [backup-simplify]: Simplify 1 into 1
10.987 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.987 * [taylor]: Taking taylor expansion of im in re
10.987 * [backup-simplify]: Simplify im into im
10.988 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.988 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.988 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.988 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.988 * [backup-simplify]: Simplify (+ 0 0) into 0
10.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.988 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.988 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.988 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.988 * [taylor]: Taking taylor expansion of re in re
10.988 * [backup-simplify]: Simplify 0 into 0
10.988 * [backup-simplify]: Simplify 1 into 1
10.988 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.988 * [taylor]: Taking taylor expansion of im in re
10.988 * [backup-simplify]: Simplify im into im
10.988 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.988 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.989 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.989 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.989 * [backup-simplify]: Simplify (+ 0 0) into 0
10.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.989 * [taylor]: Taking taylor expansion of im in im
10.989 * [backup-simplify]: Simplify 0 into 0
10.989 * [backup-simplify]: Simplify 1 into 1
10.989 * [backup-simplify]: Simplify 0 into 0
10.989 * [taylor]: Taking taylor expansion of 0 in im
10.989 * [backup-simplify]: Simplify 0 into 0
10.989 * [backup-simplify]: Simplify 0 into 0
10.989 * [backup-simplify]: Simplify 1 into 1
10.989 * [backup-simplify]: Simplify (* 1 1) into 1
10.990 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.990 * [backup-simplify]: Simplify (+ 1 0) into 1
10.990 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.990 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.990 * [taylor]: Taking taylor expansion of 1/2 in im
10.990 * [backup-simplify]: Simplify 1/2 into 1/2
10.990 * [taylor]: Taking taylor expansion of im in im
10.991 * [backup-simplify]: Simplify 0 into 0
10.991 * [backup-simplify]: Simplify 1 into 1
10.991 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.991 * [backup-simplify]: Simplify 0 into 0
10.991 * [backup-simplify]: Simplify 0 into 0
10.991 * [backup-simplify]: Simplify 0 into 0
10.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.992 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.992 * [backup-simplify]: Simplify (+ 0 0) into 0
10.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.993 * [taylor]: Taking taylor expansion of 0 in im
10.993 * [backup-simplify]: Simplify 0 into 0
10.993 * [backup-simplify]: Simplify 0 into 0
10.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.993 * [backup-simplify]: Simplify 0 into 0
10.993 * [backup-simplify]: Simplify 0 into 0
10.993 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.994 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
10.994 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
10.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.994 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.994 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.994 * [taylor]: Taking taylor expansion of im in im
10.994 * [backup-simplify]: Simplify 0 into 0
10.994 * [backup-simplify]: Simplify 1 into 1
10.994 * [backup-simplify]: Simplify (* 1 1) into 1
10.994 * [backup-simplify]: Simplify (/ 1 1) into 1
10.994 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.994 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.994 * [taylor]: Taking taylor expansion of re in im
10.995 * [backup-simplify]: Simplify re into re
10.995 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.995 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.995 * [backup-simplify]: Simplify (+ 1 0) into 1
10.995 * [backup-simplify]: Simplify (sqrt 1) into 1
10.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.996 * [backup-simplify]: Simplify (+ 0 0) into 0
10.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.997 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.997 * [taylor]: Taking taylor expansion of im in re
10.997 * [backup-simplify]: Simplify im into im
10.997 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.998 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.998 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.998 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.998 * [taylor]: Taking taylor expansion of re in re
10.998 * [backup-simplify]: Simplify 0 into 0
10.998 * [backup-simplify]: Simplify 1 into 1
10.998 * [backup-simplify]: Simplify (* 1 1) into 1
10.998 * [backup-simplify]: Simplify (/ 1 1) into 1
10.999 * [backup-simplify]: Simplify (+ 0 1) into 1
10.999 * [backup-simplify]: Simplify (sqrt 1) into 1
11.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.001 * [backup-simplify]: Simplify (+ 0 0) into 0
11.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.008 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.008 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.008 * [taylor]: Taking taylor expansion of im in re
11.008 * [backup-simplify]: Simplify im into im
11.008 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.009 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.009 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.009 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.009 * [taylor]: Taking taylor expansion of re in re
11.009 * [backup-simplify]: Simplify 0 into 0
11.009 * [backup-simplify]: Simplify 1 into 1
11.009 * [backup-simplify]: Simplify (* 1 1) into 1
11.010 * [backup-simplify]: Simplify (/ 1 1) into 1
11.010 * [backup-simplify]: Simplify (+ 0 1) into 1
11.011 * [backup-simplify]: Simplify (sqrt 1) into 1
11.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.013 * [backup-simplify]: Simplify (+ 0 0) into 0
11.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.013 * [taylor]: Taking taylor expansion of 1 in im
11.013 * [backup-simplify]: Simplify 1 into 1
11.014 * [taylor]: Taking taylor expansion of 0 in im
11.014 * [backup-simplify]: Simplify 0 into 0
11.014 * [backup-simplify]: Simplify 1 into 1
11.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.016 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.017 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.017 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.017 * [taylor]: Taking taylor expansion of 1/2 in im
11.017 * [backup-simplify]: Simplify 1/2 into 1/2
11.017 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.017 * [taylor]: Taking taylor expansion of im in im
11.017 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify 1 into 1
11.018 * [backup-simplify]: Simplify (* 1 1) into 1
11.018 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.020 * [backup-simplify]: Simplify 0 into 0
11.020 * [backup-simplify]: Simplify 0 into 0
11.020 * [backup-simplify]: Simplify 0 into 0
11.020 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.023 * [backup-simplify]: Simplify (+ 0 0) into 0
11.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.024 * [taylor]: Taking taylor expansion of 0 in im
11.024 * [backup-simplify]: Simplify 0 into 0
11.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.026 * [backup-simplify]: Simplify 0 into 0
11.026 * [backup-simplify]: Simplify 0 into 0
11.026 * [backup-simplify]: Simplify 0 into 0
11.026 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.027 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
11.027 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
11.027 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.027 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.027 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.027 * [taylor]: Taking taylor expansion of im in im
11.027 * [backup-simplify]: Simplify 0 into 0
11.027 * [backup-simplify]: Simplify 1 into 1
11.027 * [backup-simplify]: Simplify (* 1 1) into 1
11.028 * [backup-simplify]: Simplify (/ 1 1) into 1
11.028 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.028 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.028 * [taylor]: Taking taylor expansion of re in im
11.028 * [backup-simplify]: Simplify re into re
11.028 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.028 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.029 * [backup-simplify]: Simplify (+ 1 0) into 1
11.029 * [backup-simplify]: Simplify (sqrt 1) into 1
11.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.031 * [backup-simplify]: Simplify (+ 0 0) into 0
11.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.032 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.032 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.032 * [taylor]: Taking taylor expansion of im in re
11.032 * [backup-simplify]: Simplify im into im
11.032 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.032 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.032 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.032 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.032 * [taylor]: Taking taylor expansion of re in re
11.032 * [backup-simplify]: Simplify 0 into 0
11.032 * [backup-simplify]: Simplify 1 into 1
11.033 * [backup-simplify]: Simplify (* 1 1) into 1
11.033 * [backup-simplify]: Simplify (/ 1 1) into 1
11.033 * [backup-simplify]: Simplify (+ 0 1) into 1
11.034 * [backup-simplify]: Simplify (sqrt 1) into 1
11.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.036 * [backup-simplify]: Simplify (+ 0 0) into 0
11.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.037 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.037 * [taylor]: Taking taylor expansion of im in re
11.037 * [backup-simplify]: Simplify im into im
11.037 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.037 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.037 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.037 * [taylor]: Taking taylor expansion of re in re
11.037 * [backup-simplify]: Simplify 0 into 0
11.037 * [backup-simplify]: Simplify 1 into 1
11.037 * [backup-simplify]: Simplify (* 1 1) into 1
11.038 * [backup-simplify]: Simplify (/ 1 1) into 1
11.038 * [backup-simplify]: Simplify (+ 0 1) into 1
11.039 * [backup-simplify]: Simplify (sqrt 1) into 1
11.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.040 * [backup-simplify]: Simplify (+ 0 0) into 0
11.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.041 * [taylor]: Taking taylor expansion of 1 in im
11.041 * [backup-simplify]: Simplify 1 into 1
11.041 * [taylor]: Taking taylor expansion of 0 in im
11.041 * [backup-simplify]: Simplify 0 into 0
11.041 * [backup-simplify]: Simplify 1 into 1
11.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.042 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.043 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.043 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.043 * [taylor]: Taking taylor expansion of 1/2 in im
11.043 * [backup-simplify]: Simplify 1/2 into 1/2
11.043 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.043 * [taylor]: Taking taylor expansion of im in im
11.043 * [backup-simplify]: Simplify 0 into 0
11.043 * [backup-simplify]: Simplify 1 into 1
11.043 * [backup-simplify]: Simplify (* 1 1) into 1
11.044 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.045 * [backup-simplify]: Simplify 0 into 0
11.045 * [backup-simplify]: Simplify 0 into 0
11.045 * [backup-simplify]: Simplify 0 into 0
11.045 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.046 * [backup-simplify]: Simplify (+ 0 0) into 0
11.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.047 * [taylor]: Taking taylor expansion of 0 in im
11.047 * [backup-simplify]: Simplify 0 into 0
11.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.048 * [backup-simplify]: Simplify 0 into 0
11.048 * [backup-simplify]: Simplify 0 into 0
11.048 * [backup-simplify]: Simplify 0 into 0
11.048 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.048 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1)
11.048 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
11.048 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
11.048 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
11.048 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
11.048 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
11.048 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.048 * [taylor]: Taking taylor expansion of re in im
11.048 * [backup-simplify]: Simplify re into re
11.048 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.048 * [taylor]: Taking taylor expansion of im in im
11.048 * [backup-simplify]: Simplify 0 into 0
11.049 * [backup-simplify]: Simplify 1 into 1
11.049 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.049 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.049 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.049 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.049 * [backup-simplify]: Simplify (+ 0 0) into 0
11.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.049 * [taylor]: Taking taylor expansion of re in im
11.049 * [backup-simplify]: Simplify re into re
11.049 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
11.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.049 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.049 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.049 * [taylor]: Taking taylor expansion of re in re
11.049 * [backup-simplify]: Simplify 0 into 0
11.049 * [backup-simplify]: Simplify 1 into 1
11.049 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.049 * [taylor]: Taking taylor expansion of im in re
11.049 * [backup-simplify]: Simplify im into im
11.049 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.050 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.050 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.050 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.050 * [backup-simplify]: Simplify (+ 0 0) into 0
11.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.050 * [taylor]: Taking taylor expansion of re in re
11.050 * [backup-simplify]: Simplify 0 into 0
11.050 * [backup-simplify]: Simplify 1 into 1
11.050 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
11.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.050 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.050 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.050 * [taylor]: Taking taylor expansion of re in re
11.050 * [backup-simplify]: Simplify 0 into 0
11.050 * [backup-simplify]: Simplify 1 into 1
11.050 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.050 * [taylor]: Taking taylor expansion of im in re
11.050 * [backup-simplify]: Simplify im into im
11.050 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.050 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.050 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.051 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.051 * [backup-simplify]: Simplify (+ 0 0) into 0
11.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.051 * [taylor]: Taking taylor expansion of re in re
11.051 * [backup-simplify]: Simplify 0 into 0
11.051 * [backup-simplify]: Simplify 1 into 1
11.051 * [backup-simplify]: Simplify (- 0) into 0
11.051 * [backup-simplify]: Simplify (+ im 0) into im
11.051 * [taylor]: Taking taylor expansion of im in im
11.051 * [backup-simplify]: Simplify 0 into 0
11.051 * [backup-simplify]: Simplify 1 into 1
11.051 * [backup-simplify]: Simplify 0 into 0
11.052 * [backup-simplify]: Simplify (- 1) into -1
11.052 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.052 * [taylor]: Taking taylor expansion of -1 in im
11.052 * [backup-simplify]: Simplify -1 into -1
11.052 * [backup-simplify]: Simplify -1 into -1
11.052 * [backup-simplify]: Simplify 1 into 1
11.052 * [backup-simplify]: Simplify (* 1 1) into 1
11.052 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.053 * [backup-simplify]: Simplify (+ 1 0) into 1
11.053 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.053 * [backup-simplify]: Simplify (- 0) into 0
11.054 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
11.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
11.054 * [taylor]: Taking taylor expansion of 1/2 in im
11.054 * [backup-simplify]: Simplify 1/2 into 1/2
11.054 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.054 * [taylor]: Taking taylor expansion of im in im
11.054 * [backup-simplify]: Simplify 0 into 0
11.054 * [backup-simplify]: Simplify 1 into 1
11.054 * [backup-simplify]: Simplify (/ 1 1) into 1
11.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.055 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.056 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.056 * [backup-simplify]: Simplify (+ 0 0) into 0
11.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.056 * [backup-simplify]: Simplify (- 0) into 0
11.057 * [backup-simplify]: Simplify (+ 0 0) into 0
11.057 * [taylor]: Taking taylor expansion of 0 in im
11.057 * [backup-simplify]: Simplify 0 into 0
11.057 * [backup-simplify]: Simplify 0 into 0
11.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
11.058 * [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))
11.058 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
11.058 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
11.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.058 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.059 * [taylor]: Taking taylor expansion of im in im
11.059 * [backup-simplify]: Simplify 0 into 0
11.059 * [backup-simplify]: Simplify 1 into 1
11.059 * [backup-simplify]: Simplify (* 1 1) into 1
11.059 * [backup-simplify]: Simplify (/ 1 1) into 1
11.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.059 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.059 * [taylor]: Taking taylor expansion of re in im
11.059 * [backup-simplify]: Simplify re into re
11.059 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.059 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.060 * [backup-simplify]: Simplify (+ 1 0) into 1
11.060 * [backup-simplify]: Simplify (sqrt 1) into 1
11.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.061 * [backup-simplify]: Simplify (+ 0 0) into 0
11.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.061 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.061 * [taylor]: Taking taylor expansion of re in im
11.061 * [backup-simplify]: Simplify re into re
11.061 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.061 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.062 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.062 * [taylor]: Taking taylor expansion of im in re
11.062 * [backup-simplify]: Simplify im into im
11.062 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.062 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.062 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.062 * [taylor]: Taking taylor expansion of re in re
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [backup-simplify]: Simplify 1 into 1
11.062 * [backup-simplify]: Simplify (* 1 1) into 1
11.062 * [backup-simplify]: Simplify (/ 1 1) into 1
11.063 * [backup-simplify]: Simplify (+ 0 1) into 1
11.063 * [backup-simplify]: Simplify (sqrt 1) into 1
11.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.064 * [backup-simplify]: Simplify (+ 0 0) into 0
11.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.064 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.064 * [taylor]: Taking taylor expansion of re in re
11.064 * [backup-simplify]: Simplify 0 into 0
11.064 * [backup-simplify]: Simplify 1 into 1
11.065 * [backup-simplify]: Simplify (/ 1 1) into 1
11.065 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.065 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.065 * [taylor]: Taking taylor expansion of im in re
11.065 * [backup-simplify]: Simplify im into im
11.065 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.065 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.065 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.065 * [taylor]: Taking taylor expansion of re in re
11.065 * [backup-simplify]: Simplify 0 into 0
11.065 * [backup-simplify]: Simplify 1 into 1
11.065 * [backup-simplify]: Simplify (* 1 1) into 1
11.065 * [backup-simplify]: Simplify (/ 1 1) into 1
11.066 * [backup-simplify]: Simplify (+ 0 1) into 1
11.066 * [backup-simplify]: Simplify (sqrt 1) into 1
11.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.067 * [backup-simplify]: Simplify (+ 0 0) into 0
11.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.067 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.067 * [taylor]: Taking taylor expansion of re in re
11.067 * [backup-simplify]: Simplify 0 into 0
11.067 * [backup-simplify]: Simplify 1 into 1
11.068 * [backup-simplify]: Simplify (/ 1 1) into 1
11.068 * [backup-simplify]: Simplify (- 1) into -1
11.068 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.068 * [taylor]: Taking taylor expansion of 0 in im
11.069 * [backup-simplify]: Simplify 0 into 0
11.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.070 * [backup-simplify]: Simplify (- 0) into 0
11.070 * [backup-simplify]: Simplify (+ 0 0) into 0
11.070 * [taylor]: Taking taylor expansion of 0 in im
11.070 * [backup-simplify]: Simplify 0 into 0
11.070 * [backup-simplify]: Simplify 0 into 0
11.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.072 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.074 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.075 * [backup-simplify]: Simplify (- 0) into 0
11.075 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.075 * [taylor]: Taking taylor expansion of 1/2 in im
11.075 * [backup-simplify]: Simplify 1/2 into 1/2
11.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.075 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.075 * [taylor]: Taking taylor expansion of im in im
11.076 * [backup-simplify]: Simplify 0 into 0
11.076 * [backup-simplify]: Simplify 1 into 1
11.076 * [backup-simplify]: Simplify (* 1 1) into 1
11.076 * [backup-simplify]: Simplify (/ 1 1) into 1
11.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.079 * [backup-simplify]: Simplify 0 into 0
11.079 * [backup-simplify]: Simplify 0 into 0
11.079 * [backup-simplify]: Simplify 0 into 0
11.079 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.082 * [backup-simplify]: Simplify (+ 0 0) into 0
11.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.084 * [backup-simplify]: Simplify (- 0) into 0
11.084 * [backup-simplify]: Simplify (+ 0 0) into 0
11.084 * [taylor]: Taking taylor expansion of 0 in im
11.084 * [backup-simplify]: Simplify 0 into 0
11.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.087 * [backup-simplify]: Simplify 0 into 0
11.087 * [backup-simplify]: Simplify 0 into 0
11.087 * [backup-simplify]: Simplify 0 into 0
11.088 * [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)))))
11.088 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
11.088 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
11.088 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.088 * [taylor]: Taking taylor expansion of re in im
11.088 * [backup-simplify]: Simplify re into re
11.088 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.088 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.088 * [taylor]: Taking taylor expansion of im in im
11.088 * [backup-simplify]: Simplify 0 into 0
11.088 * [backup-simplify]: Simplify 1 into 1
11.089 * [backup-simplify]: Simplify (* 1 1) into 1
11.089 * [backup-simplify]: Simplify (/ 1 1) into 1
11.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.089 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.089 * [taylor]: Taking taylor expansion of re in im
11.089 * [backup-simplify]: Simplify re into re
11.089 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.090 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.090 * [backup-simplify]: Simplify (+ 1 0) into 1
11.090 * [backup-simplify]: Simplify (sqrt 1) into 1
11.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.092 * [backup-simplify]: Simplify (+ 0 0) into 0
11.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.093 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.093 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.093 * [taylor]: Taking taylor expansion of re in re
11.093 * [backup-simplify]: Simplify 0 into 0
11.093 * [backup-simplify]: Simplify 1 into 1
11.093 * [backup-simplify]: Simplify (/ 1 1) into 1
11.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.094 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.094 * [taylor]: Taking taylor expansion of im in re
11.094 * [backup-simplify]: Simplify im into im
11.094 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.094 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.094 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.094 * [taylor]: Taking taylor expansion of re in re
11.094 * [backup-simplify]: Simplify 0 into 0
11.094 * [backup-simplify]: Simplify 1 into 1
11.095 * [backup-simplify]: Simplify (* 1 1) into 1
11.095 * [backup-simplify]: Simplify (/ 1 1) into 1
11.096 * [backup-simplify]: Simplify (+ 0 1) into 1
11.096 * [backup-simplify]: Simplify (sqrt 1) into 1
11.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.098 * [backup-simplify]: Simplify (+ 0 0) into 0
11.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.099 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.099 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.099 * [taylor]: Taking taylor expansion of re in re
11.099 * [backup-simplify]: Simplify 0 into 0
11.099 * [backup-simplify]: Simplify 1 into 1
11.099 * [backup-simplify]: Simplify (/ 1 1) into 1
11.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.099 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.099 * [taylor]: Taking taylor expansion of im in re
11.099 * [backup-simplify]: Simplify im into im
11.100 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.100 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.100 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.100 * [taylor]: Taking taylor expansion of re in re
11.100 * [backup-simplify]: Simplify 0 into 0
11.100 * [backup-simplify]: Simplify 1 into 1
11.100 * [backup-simplify]: Simplify (* 1 1) into 1
11.101 * [backup-simplify]: Simplify (/ 1 1) into 1
11.101 * [backup-simplify]: Simplify (+ 0 1) into 1
11.102 * [backup-simplify]: Simplify (sqrt 1) into 1
11.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.103 * [backup-simplify]: Simplify (+ 0 0) into 0
11.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.105 * [backup-simplify]: Simplify (+ 1 1) into 2
11.105 * [taylor]: Taking taylor expansion of 2 in im
11.105 * [backup-simplify]: Simplify 2 into 2
11.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.106 * [backup-simplify]: Simplify (+ 0 0) into 0
11.106 * [taylor]: Taking taylor expansion of 0 in im
11.106 * [backup-simplify]: Simplify 0 into 0
11.106 * [backup-simplify]: Simplify 2 into 2
11.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.109 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.110 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.111 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
11.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.111 * [taylor]: Taking taylor expansion of 1/2 in im
11.111 * [backup-simplify]: Simplify 1/2 into 1/2
11.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.111 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.111 * [taylor]: Taking taylor expansion of im in im
11.111 * [backup-simplify]: Simplify 0 into 0
11.111 * [backup-simplify]: Simplify 1 into 1
11.111 * [backup-simplify]: Simplify (* 1 1) into 1
11.112 * [backup-simplify]: Simplify (/ 1 1) into 1
11.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.114 * [backup-simplify]: Simplify 0 into 0
11.114 * [backup-simplify]: Simplify 0 into 0
11.114 * [backup-simplify]: Simplify 0 into 0
11.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.118 * [backup-simplify]: Simplify (+ 0 0) into 0
11.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.119 * [backup-simplify]: Simplify (+ 0 0) into 0
11.119 * [taylor]: Taking taylor expansion of 0 in im
11.119 * [backup-simplify]: Simplify 0 into 0
11.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.122 * [backup-simplify]: Simplify 0 into 0
11.122 * [backup-simplify]: Simplify 0 into 0
11.122 * [backup-simplify]: Simplify 0 into 0
11.122 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
11.122 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
11.123 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
11.123 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
11.123 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
11.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
11.123 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
11.123 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.123 * [taylor]: Taking taylor expansion of re in im
11.123 * [backup-simplify]: Simplify re into re
11.123 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.123 * [taylor]: Taking taylor expansion of im in im
11.123 * [backup-simplify]: Simplify 0 into 0
11.123 * [backup-simplify]: Simplify 1 into 1
11.123 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.123 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.123 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.123 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.124 * [backup-simplify]: Simplify (+ 0 0) into 0
11.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.124 * [taylor]: Taking taylor expansion of re in im
11.124 * [backup-simplify]: Simplify re into re
11.124 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
11.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.124 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.124 * [taylor]: Taking taylor expansion of re in re
11.124 * [backup-simplify]: Simplify 0 into 0
11.124 * [backup-simplify]: Simplify 1 into 1
11.124 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.124 * [taylor]: Taking taylor expansion of im in re
11.125 * [backup-simplify]: Simplify im into im
11.125 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.125 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.125 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.125 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.125 * [backup-simplify]: Simplify (+ 0 0) into 0
11.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.126 * [taylor]: Taking taylor expansion of re in re
11.126 * [backup-simplify]: Simplify 0 into 0
11.126 * [backup-simplify]: Simplify 1 into 1
11.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
11.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.126 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.126 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.126 * [taylor]: Taking taylor expansion of re in re
11.126 * [backup-simplify]: Simplify 0 into 0
11.126 * [backup-simplify]: Simplify 1 into 1
11.126 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.126 * [taylor]: Taking taylor expansion of im in re
11.126 * [backup-simplify]: Simplify im into im
11.126 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.126 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.126 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.127 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.127 * [backup-simplify]: Simplify (+ 0 0) into 0
11.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.127 * [taylor]: Taking taylor expansion of re in re
11.127 * [backup-simplify]: Simplify 0 into 0
11.127 * [backup-simplify]: Simplify 1 into 1
11.128 * [backup-simplify]: Simplify (- 0) into 0
11.128 * [backup-simplify]: Simplify (+ im 0) into im
11.128 * [taylor]: Taking taylor expansion of im in im
11.128 * [backup-simplify]: Simplify 0 into 0
11.128 * [backup-simplify]: Simplify 1 into 1
11.128 * [backup-simplify]: Simplify 0 into 0
11.128 * [backup-simplify]: Simplify (- 1) into -1
11.129 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.129 * [taylor]: Taking taylor expansion of -1 in im
11.129 * [backup-simplify]: Simplify -1 into -1
11.129 * [backup-simplify]: Simplify -1 into -1
11.129 * [backup-simplify]: Simplify 1 into 1
11.129 * [backup-simplify]: Simplify (* 1 1) into 1
11.130 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.130 * [backup-simplify]: Simplify (+ 1 0) into 1
11.131 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.132 * [backup-simplify]: Simplify (- 0) into 0
11.132 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
11.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
11.132 * [taylor]: Taking taylor expansion of 1/2 in im
11.132 * [backup-simplify]: Simplify 1/2 into 1/2
11.132 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.132 * [taylor]: Taking taylor expansion of im in im
11.132 * [backup-simplify]: Simplify 0 into 0
11.132 * [backup-simplify]: Simplify 1 into 1
11.132 * [backup-simplify]: Simplify (/ 1 1) into 1
11.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.133 * [backup-simplify]: Simplify 0 into 0
11.133 * [backup-simplify]: Simplify 0 into 0
11.133 * [backup-simplify]: Simplify 0 into 0
11.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.134 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.134 * [backup-simplify]: Simplify (+ 0 0) into 0
11.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.135 * [backup-simplify]: Simplify (- 0) into 0
11.135 * [backup-simplify]: Simplify (+ 0 0) into 0
11.135 * [taylor]: Taking taylor expansion of 0 in im
11.135 * [backup-simplify]: Simplify 0 into 0
11.135 * [backup-simplify]: Simplify 0 into 0
11.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.136 * [backup-simplify]: Simplify 0 into 0
11.136 * [backup-simplify]: Simplify 0 into 0
11.136 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
11.137 * [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))
11.137 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
11.137 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
11.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.137 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.137 * [taylor]: Taking taylor expansion of im in im
11.137 * [backup-simplify]: Simplify 0 into 0
11.137 * [backup-simplify]: Simplify 1 into 1
11.137 * [backup-simplify]: Simplify (* 1 1) into 1
11.137 * [backup-simplify]: Simplify (/ 1 1) into 1
11.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.137 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.137 * [taylor]: Taking taylor expansion of re in im
11.137 * [backup-simplify]: Simplify re into re
11.138 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.138 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.138 * [backup-simplify]: Simplify (+ 1 0) into 1
11.138 * [backup-simplify]: Simplify (sqrt 1) into 1
11.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.139 * [backup-simplify]: Simplify (+ 0 0) into 0
11.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.140 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.140 * [taylor]: Taking taylor expansion of re in im
11.140 * [backup-simplify]: Simplify re into re
11.140 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.140 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.140 * [taylor]: Taking taylor expansion of im in re
11.140 * [backup-simplify]: Simplify im into im
11.140 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.140 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.140 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.140 * [taylor]: Taking taylor expansion of re in re
11.140 * [backup-simplify]: Simplify 0 into 0
11.140 * [backup-simplify]: Simplify 1 into 1
11.140 * [backup-simplify]: Simplify (* 1 1) into 1
11.141 * [backup-simplify]: Simplify (/ 1 1) into 1
11.141 * [backup-simplify]: Simplify (+ 0 1) into 1
11.141 * [backup-simplify]: Simplify (sqrt 1) into 1
11.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.148 * [backup-simplify]: Simplify (+ 0 0) into 0
11.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.148 * [taylor]: Taking taylor expansion of re in re
11.149 * [backup-simplify]: Simplify 0 into 0
11.149 * [backup-simplify]: Simplify 1 into 1
11.149 * [backup-simplify]: Simplify (/ 1 1) into 1
11.149 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.149 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.149 * [taylor]: Taking taylor expansion of im in re
11.149 * [backup-simplify]: Simplify im into im
11.149 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.149 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.149 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.149 * [taylor]: Taking taylor expansion of re in re
11.149 * [backup-simplify]: Simplify 0 into 0
11.149 * [backup-simplify]: Simplify 1 into 1
11.149 * [backup-simplify]: Simplify (* 1 1) into 1
11.150 * [backup-simplify]: Simplify (/ 1 1) into 1
11.150 * [backup-simplify]: Simplify (+ 0 1) into 1
11.150 * [backup-simplify]: Simplify (sqrt 1) into 1
11.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.151 * [backup-simplify]: Simplify (+ 0 0) into 0
11.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.152 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.152 * [taylor]: Taking taylor expansion of re in re
11.152 * [backup-simplify]: Simplify 0 into 0
11.152 * [backup-simplify]: Simplify 1 into 1
11.152 * [backup-simplify]: Simplify (/ 1 1) into 1
11.152 * [backup-simplify]: Simplify (- 1) into -1
11.153 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.153 * [taylor]: Taking taylor expansion of 0 in im
11.153 * [backup-simplify]: Simplify 0 into 0
11.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.153 * [backup-simplify]: Simplify (- 0) into 0
11.154 * [backup-simplify]: Simplify (+ 0 0) into 0
11.154 * [taylor]: Taking taylor expansion of 0 in im
11.154 * [backup-simplify]: Simplify 0 into 0
11.154 * [backup-simplify]: Simplify 0 into 0
11.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.155 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.156 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.156 * [backup-simplify]: Simplify (- 0) into 0
11.156 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.157 * [taylor]: Taking taylor expansion of 1/2 in im
11.157 * [backup-simplify]: Simplify 1/2 into 1/2
11.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.157 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.157 * [taylor]: Taking taylor expansion of im in im
11.157 * [backup-simplify]: Simplify 0 into 0
11.157 * [backup-simplify]: Simplify 1 into 1
11.157 * [backup-simplify]: Simplify (* 1 1) into 1
11.157 * [backup-simplify]: Simplify (/ 1 1) into 1
11.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.158 * [backup-simplify]: Simplify 0 into 0
11.158 * [backup-simplify]: Simplify 0 into 0
11.158 * [backup-simplify]: Simplify 0 into 0
11.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.160 * [backup-simplify]: Simplify (+ 0 0) into 0
11.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.161 * [backup-simplify]: Simplify (- 0) into 0
11.161 * [backup-simplify]: Simplify (+ 0 0) into 0
11.161 * [taylor]: Taking taylor expansion of 0 in im
11.161 * [backup-simplify]: Simplify 0 into 0
11.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.163 * [backup-simplify]: Simplify 0 into 0
11.163 * [backup-simplify]: Simplify 0 into 0
11.163 * [backup-simplify]: Simplify 0 into 0
11.163 * [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)))))
11.163 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
11.163 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
11.163 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.163 * [taylor]: Taking taylor expansion of re in im
11.164 * [backup-simplify]: Simplify re into re
11.164 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.164 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.164 * [taylor]: Taking taylor expansion of im in im
11.164 * [backup-simplify]: Simplify 0 into 0
11.164 * [backup-simplify]: Simplify 1 into 1
11.164 * [backup-simplify]: Simplify (* 1 1) into 1
11.164 * [backup-simplify]: Simplify (/ 1 1) into 1
11.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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
11.164 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.164 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.165 * [backup-simplify]: Simplify (+ 1 0) into 1
11.165 * [backup-simplify]: Simplify (sqrt 1) into 1
11.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.166 * [backup-simplify]: Simplify (+ 0 0) into 0
11.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.166 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.166 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
11.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.167 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.167 * [taylor]: Taking taylor expansion of im in re
11.167 * [backup-simplify]: Simplify im into im
11.167 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.167 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* 1 1) into 1
11.168 * [backup-simplify]: Simplify (/ 1 1) into 1
11.168 * [backup-simplify]: Simplify (+ 0 1) into 1
11.168 * [backup-simplify]: Simplify (sqrt 1) into 1
11.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.170 * [backup-simplify]: Simplify (+ 0 0) into 0
11.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.171 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.171 * [taylor]: Taking taylor expansion of re in re
11.171 * [backup-simplify]: Simplify 0 into 0
11.171 * [backup-simplify]: Simplify 1 into 1
11.171 * [backup-simplify]: Simplify (/ 1 1) into 1
11.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.171 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.171 * [taylor]: Taking taylor expansion of im in re
11.172 * [backup-simplify]: Simplify im into im
11.172 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.172 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.172 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.172 * [taylor]: Taking taylor expansion of re in re
11.172 * [backup-simplify]: Simplify 0 into 0
11.172 * [backup-simplify]: Simplify 1 into 1
11.172 * [backup-simplify]: Simplify (* 1 1) into 1
11.173 * [backup-simplify]: Simplify (/ 1 1) into 1
11.173 * [backup-simplify]: Simplify (+ 0 1) into 1
11.174 * [backup-simplify]: Simplify (sqrt 1) into 1
11.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.175 * [backup-simplify]: Simplify (+ 0 0) into 0
11.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.177 * [backup-simplify]: Simplify (+ 1 1) into 2
11.177 * [taylor]: Taking taylor expansion of 2 in im
11.177 * [backup-simplify]: Simplify 2 into 2
11.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.178 * [backup-simplify]: Simplify (+ 0 0) into 0
11.178 * [taylor]: Taking taylor expansion of 0 in im
11.178 * [backup-simplify]: Simplify 0 into 0
11.178 * [backup-simplify]: Simplify 2 into 2
11.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.181 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.182 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.182 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
11.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.182 * [taylor]: Taking taylor expansion of 1/2 in im
11.183 * [backup-simplify]: Simplify 1/2 into 1/2
11.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.183 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.183 * [taylor]: Taking taylor expansion of im in im
11.183 * [backup-simplify]: Simplify 0 into 0
11.183 * [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 (+ (* 1 0) (* 0 1)) into 0
11.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.186 * [backup-simplify]: Simplify 0 into 0
11.186 * [backup-simplify]: Simplify 0 into 0
11.186 * [backup-simplify]: Simplify 0 into 0
11.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.187 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.190 * [backup-simplify]: Simplify (+ 0 0) into 0
11.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.191 * [backup-simplify]: Simplify (+ 0 0) into 0
11.191 * [taylor]: Taking taylor expansion of 0 in im
11.191 * [backup-simplify]: Simplify 0 into 0
11.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.194 * [backup-simplify]: Simplify 0 into 0
11.194 * [backup-simplify]: Simplify 0 into 0
11.194 * [backup-simplify]: Simplify 0 into 0
11.194 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
11.194 * * * [progress]: simplifying candidates
11.196 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
11.197 * * [simplify]: Extracting # 0 : cost  0
11.197 * * [simplify]: Extracting # 1 : cost  0
11.197 * * [simplify]: Extracting # 2 : cost  0
11.198 * * [simplify]: Extracting # 3 : cost  0
11.198 * * [simplify]: Extracting # 4 : cost  0
11.198 * * [simplify]: Extracting # 5 : cost  0
11.198 * * [simplify]: Extracting # 6 : cost  0
11.198 * * [simplify]: iteration  0 :  64  enodes  (cost  962 )
11.211 * * [simplify]: Extracting # 0 : cost  0
11.211 * * [simplify]: Extracting # 1 : cost  0
11.211 * * [simplify]: Extracting # 2 : cost  0
11.212 * * [simplify]: Extracting # 3 : cost  0
11.212 * * [simplify]: Extracting # 4 : cost  0
11.212 * * [simplify]: iteration  1 :  137  enodes  (cost  842 )
11.267 * * [simplify]: Extracting # 0 : cost  0
11.268 * * [simplify]: Extracting # 1 : cost  0
11.268 * * [simplify]: Extracting # 2 : cost  0
11.269 * * [simplify]: Extracting # 3 : cost  0
11.270 * * [simplify]: Extracting # 4 : cost  0
11.270 * * [simplify]: iteration  2 :  328  enodes  (cost  782 )
11.436 * * [simplify]: Extracting # 0 : cost  0
11.438 * * [simplify]: Extracting # 1 : cost  0
11.440 * * [simplify]: Extracting # 2 : cost  0
11.442 * * [simplify]: Extracting # 3 : cost  0
11.443 * * [simplify]: iteration  3 :  767  enodes  (cost  762 )
12.019 * * [simplify]: Extracting # 0 : cost  0
12.024 * * [simplify]: Extracting # 1 : cost  0
12.028 * * [simplify]: Extracting # 2 : cost  0
12.030 * * [simplify]: Extracting # 3 : cost  0
12.032 * * [simplify]: Extracting # 4 : cost  0
12.034 * * [simplify]: iteration  4 :  1986  enodes  (cost  758 )
12.884 * * [simplify]: Extracting # 0 : cost  0
12.895 * * [simplify]: Extracting # 1 : cost  0
12.901 * * [simplify]: Extracting # 2 : cost  0
12.907 * * [simplify]: Extracting # 3 : cost  0
12.913 * * [simplify]: Extracting # 4 : cost  0
12.922 * * [simplify]: iteration done:  5000  enodes  (cost  758 )
12.923 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (pow (- (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re)) (* im im))
  (- re)
  (pow im 2)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (pow (- (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re)) (* im im))
  (- re)
  (pow im 2)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
12.924 * * * [progress]: adding candidates to table
13.408 * [progress]: [Phase 3 of 3] Extracting.
13.408 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))>)
13.410 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
13.410 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))>)
13.460 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))>)
13.528 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))>)
13.668 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))>)
13.755 * * * [regime]: Found split indices: #<option (#s(si 6 38) #s(si 1 95) #s(si 3 133) #s(si 4 148) #s(si 2 155) #s(si 4 170) #s(si 2 255))>
13.756 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))>)
14.091 * [regimes]: Found splitpoints: (#s(sp 6 re -5.330091552844717e+114) #s(sp 1 re -4.2156616274993736e-144) #s(sp 3 re 5.124751274050741e-246) #s(sp 4 re 1.2802976578175363e-204) #s(sp 2 re 9.727118253535962e-160) #s(sp 4 re 4.202834506095947e-94) #s(sp 2 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (- re) re)))))>)
14.091 * [simplify]: Simplifying:
  (if (<= re -5.330091552844717e+114) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))) (if (<= re -4.2156616274993736e-144) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (if (<= re 5.124751274050741e-246) (* 0.5 (sqrt (* 2.0 (+ im re)))) (if (<= re 1.2802976578175363e-204) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))) (if (<= re 9.727118253535962e-160) (* 0.5 (sqrt (* 2.0 (+ re re)))) (if (<= re 4.202834506095947e-94) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))) (* 0.5 (sqrt (* 2.0 (+ re re))))))))))
14.092 * * [simplify]: Extracting # 0 : cost  0
14.092 * * [simplify]: Extracting # 1 : cost  0
14.092 * * [simplify]: Extracting # 2 : cost  0
14.092 * * [simplify]: Extracting # 3 : cost  0
14.092 * * [simplify]: Extracting # 4 : cost  0
14.092 * * [simplify]: Extracting # 5 : cost  0
14.092 * * [simplify]: Extracting # 6 : cost  0
14.092 * * [simplify]: Extracting # 7 : cost  0
14.092 * * [simplify]: Extracting # 8 : cost  0
14.092 * * [simplify]: Extracting # 9 : cost  0
14.092 * * [simplify]: Extracting # 10 : cost  0
14.092 * * [simplify]: Extracting # 11 : cost  0
14.092 * * [simplify]: Extracting # 12 : cost  0
14.092 * * [simplify]: Extracting # 13 : cost  0
14.092 * * [simplify]: Extracting # 14 : cost  0
14.092 * * [simplify]: Extracting # 15 : cost  0
14.093 * * [simplify]: Extracting # 16 : cost  0
14.093 * * [simplify]: Extracting # 17 : cost  0
14.093 * * [simplify]: Extracting # 18 : cost  0
14.093 * * [simplify]: iteration  0 :  53  enodes  (cost  132 )
14.095 * * [simplify]: Extracting # 0 : cost  0
14.096 * * [simplify]: Extracting # 1 : cost  0
14.096 * * [simplify]: Extracting # 2 : cost  0
14.096 * * [simplify]: Extracting # 3 : cost  0
14.096 * * [simplify]: Extracting # 4 : cost  0
14.096 * * [simplify]: Extracting # 5 : cost  0
14.096 * * [simplify]: Extracting # 6 : cost  0
14.096 * * [simplify]: Extracting # 7 : cost  0
14.096 * * [simplify]: Extracting # 8 : cost  0
14.096 * * [simplify]: iteration  1 :  67  enodes  (cost  125 )
14.099 * * [simplify]: Extracting # 0 : cost  0
14.099 * * [simplify]: Extracting # 1 : cost  0
14.100 * * [simplify]: Extracting # 2 : cost  0
14.100 * * [simplify]: Extracting # 3 : cost  0
14.100 * * [simplify]: Extracting # 4 : cost  0
14.100 * * [simplify]: Extracting # 5 : cost  0
14.100 * * [simplify]: Extracting # 6 : cost  0
14.100 * * [simplify]: iteration  2 :  70  enodes  (cost  107 )
14.103 * * [simplify]: Extracting # 0 : cost  0
14.103 * * [simplify]: Extracting # 1 : cost  0
14.103 * * [simplify]: Extracting # 2 : cost  0
14.103 * * [simplify]: iteration  3 :  73  enodes  (cost  107 )
14.107 * * [simplify]: Extracting # 0 : cost  0
14.107 * * [simplify]: Extracting # 1 : cost  0
14.107 * * [simplify]: Extracting # 2 : cost  0
14.107 * * [simplify]: Extracting # 3 : cost  0
14.107 * * [simplify]: Extracting # 4 : cost  0
14.107 * * [simplify]: iteration done:  73  enodes  (cost  106 )
14.107 * [simplify]: Simplified to:
  (if (<= re -5.330091552844717e+114) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (- re) re)))) (if (<= re -4.2156616274993736e-144) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (if (<= re 5.124751274050741e-246) (* 0.5 (sqrt (* 2.0 (+ im re)))) (if (or (<= re 1.2802976578175363e-204) (and (not (<= re 9.727118253535962e-160)) (<= re 4.202834506095947e-94))) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))) (* 0.5 (sqrt (* 2.0 (+ re re))))))))
17.273 * [regime-testing]: Baseline error score: 37.36978294310329
17.275 * [regime-testing]: Oracle error score: 8.017430076410848
17.280 * [regime-testing]: End program error score: 22.640607958720416
17.381 * [regime-testing]: Target error score: 33.251680000556505