42.710 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.059 * * * [progress]: [2/2] Setting up program.
0.063 * [progress]: [Phase 2 of 3] Improving.
0.064 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.064 * * [simplify]: Extracting # 0 : cost  0
0.064 * * [simplify]: Extracting # 1 : cost  0
0.064 * * [simplify]: Extracting # 2 : cost  0
0.064 * * [simplify]: Extracting # 3 : cost  0
0.064 * * [simplify]: Extracting # 4 : cost  0
0.064 * * [simplify]: Extracting # 5 : cost  0
0.064 * * [simplify]: Extracting # 6 : cost  0
0.064 * * [simplify]: Extracting # 7 : cost  0
0.064 * * [simplify]: Extracting # 8 : cost  0
0.064 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.068 * * [simplify]: Extracting # 0 : cost  0
0.068 * * [simplify]: Extracting # 1 : cost  0
0.068 * * [simplify]: Extracting # 2 : cost  0
0.069 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.076 * * [simplify]: Extracting # 0 : cost  0
0.076 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.083 * * [simplify]: Extracting # 0 : cost  0
0.083 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.083 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.084 * * [progress]: iteration 1 / 4
0.084 * * * [progress]: picking best candidate
0.091 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.091 * * * [progress]: localizing error
0.116 * * * [progress]: generating rewritten candidates
0.116 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.132 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.193 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.224 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.242 * * * [progress]: generating series expansions
0.242 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.246 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.247 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.247 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.247 * [taylor]: Taking taylor expansion of im in im
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.247 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.247 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.247 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.248 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.248 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.248 * [taylor]: Taking taylor expansion of re in re
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.248 * [taylor]: Taking taylor expansion of im in re
0.248 * [backup-simplify]: Simplify im into im
0.249 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.249 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.249 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.249 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.249 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.250 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.250 * [taylor]: Taking taylor expansion of re in re
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.250 * [taylor]: Taking taylor expansion of im in re
0.250 * [backup-simplify]: Simplify im into im
0.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.250 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.250 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.250 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.251 * [taylor]: Taking taylor expansion of im in im
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [taylor]: Taking taylor expansion of 0 in im
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.252 * [backup-simplify]: Simplify (+ 1 0) into 1
0.253 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.253 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.253 * [taylor]: Taking taylor expansion of 1/2 in im
0.253 * [backup-simplify]: Simplify 1/2 into 1/2
0.253 * [taylor]: Taking taylor expansion of im in im
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.257 * [taylor]: Taking taylor expansion of 0 in im
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.258 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.258 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.258 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.258 * [taylor]: Taking taylor expansion of im in im
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (* 1 1) into 1
0.259 * [backup-simplify]: Simplify (/ 1 1) into 1
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.259 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.259 * [taylor]: Taking taylor expansion of re in im
0.259 * [backup-simplify]: Simplify re into re
0.259 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.259 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.260 * [backup-simplify]: Simplify (+ 1 0) into 1
0.260 * [backup-simplify]: Simplify (sqrt 1) into 1
0.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.263 * [taylor]: Taking taylor expansion of im in re
0.263 * [backup-simplify]: Simplify im into im
0.263 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.263 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.263 * [taylor]: Taking taylor expansion of re in re
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (* 1 1) into 1
0.264 * [backup-simplify]: Simplify (/ 1 1) into 1
0.265 * [backup-simplify]: Simplify (+ 0 1) into 1
0.265 * [backup-simplify]: Simplify (sqrt 1) into 1
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.268 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.268 * [taylor]: Taking taylor expansion of im in re
0.268 * [backup-simplify]: Simplify im into im
0.268 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.268 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.268 * [taylor]: Taking taylor expansion of re in re
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (* 1 1) into 1
0.269 * [backup-simplify]: Simplify (/ 1 1) into 1
0.269 * [backup-simplify]: Simplify (+ 0 1) into 1
0.270 * [backup-simplify]: Simplify (sqrt 1) into 1
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.272 * [taylor]: Taking taylor expansion of 1 in im
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [taylor]: Taking taylor expansion of 0 in im
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.276 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.276 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.276 * [taylor]: Taking taylor expansion of 1/2 in im
0.276 * [backup-simplify]: Simplify 1/2 into 1/2
0.276 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.276 * [taylor]: Taking taylor expansion of im in im
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (* 1 1) into 1
0.277 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.282 * [taylor]: Taking taylor expansion of 0 in im
0.282 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.285 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.285 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.285 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.285 * [taylor]: Taking taylor expansion of im in im
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (* 1 1) into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.286 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.286 * [taylor]: Taking taylor expansion of re in im
0.286 * [backup-simplify]: Simplify re into re
0.286 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.286 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.286 * [backup-simplify]: Simplify (+ 1 0) into 1
0.287 * [backup-simplify]: Simplify (sqrt 1) into 1
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.289 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.289 * [taylor]: Taking taylor expansion of im in re
0.289 * [backup-simplify]: Simplify im into im
0.290 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.290 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.290 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.290 * [taylor]: Taking taylor expansion of re in re
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.291 * [backup-simplify]: Simplify (/ 1 1) into 1
0.291 * [backup-simplify]: Simplify (+ 0 1) 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 (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
0.294 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.294 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.294 * [taylor]: Taking taylor expansion of (pow re 2) 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
0.295 * [backup-simplify]: Simplify (* 1 1) into 1
0.295 * [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
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.299 * [taylor]: Taking taylor expansion of 1 in im
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [taylor]: Taking taylor expansion of 0 in im
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.302 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.302 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.302 * [taylor]: Taking taylor expansion of 1/2 in im
0.303 * [backup-simplify]: Simplify 1/2 into 1/2
0.303 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.303 * [taylor]: Taking taylor expansion of im in im
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (* 1 1) into 1
0.303 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.308 * [taylor]: Taking taylor expansion of 0 in im
0.308 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.311 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.311 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.311 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.311 * [taylor]: Taking taylor expansion of re in im
0.311 * [backup-simplify]: Simplify re into re
0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.311 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.311 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.311 * [taylor]: Taking taylor expansion of re in im
0.311 * [backup-simplify]: Simplify re into re
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
0.312 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.312 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.312 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.312 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.313 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.313 * [taylor]: Taking taylor expansion of re in re
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.313 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.313 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.313 * [taylor]: Taking taylor expansion of re in re
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.313 * [taylor]: Taking taylor expansion of im in re
0.313 * [backup-simplify]: Simplify im into im
0.313 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.313 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.313 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.313 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.314 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.314 * [taylor]: Taking taylor expansion of re in re
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.314 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.314 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.314 * [taylor]: Taking taylor expansion of re in re
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.314 * [taylor]: Taking taylor expansion of im in re
0.314 * [backup-simplify]: Simplify im into im
0.314 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.314 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.315 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.315 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.315 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.315 * [backup-simplify]: Simplify (+ 0 im) into im
0.315 * [taylor]: Taking taylor expansion of im in im
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (+ 1 0) into 1
0.316 * [taylor]: Taking taylor expansion of 1 in im
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.317 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.317 * [backup-simplify]: Simplify (+ 1 0) into 1
0.318 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.318 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.318 * [taylor]: Taking taylor expansion of 1/2 in im
0.318 * [backup-simplify]: Simplify 1/2 into 1/2
0.318 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.318 * [taylor]: Taking taylor expansion of im in im
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.319 * [backup-simplify]: Simplify (/ 1 1) into 1
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.322 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [taylor]: Taking taylor expansion of 0 in im
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.325 * [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)))))
0.325 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.325 * [taylor]: Taking taylor expansion of re in im
0.325 * [backup-simplify]: Simplify re into re
0.325 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.325 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.325 * [taylor]: Taking taylor expansion of im in im
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.326 * [backup-simplify]: Simplify (* 1 1) into 1
0.326 * [backup-simplify]: Simplify (/ 1 1) into 1
0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.326 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.326 * [taylor]: Taking taylor expansion of re in im
0.326 * [backup-simplify]: Simplify re into re
0.326 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.327 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.327 * [backup-simplify]: Simplify (+ 1 0) into 1
0.327 * [backup-simplify]: Simplify (sqrt 1) into 1
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.330 * [taylor]: Taking taylor expansion of re in re
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.330 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.330 * [taylor]: Taking taylor expansion of im in re
0.330 * [backup-simplify]: Simplify im into im
0.330 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.331 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.331 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.331 * [taylor]: Taking taylor expansion of re in re
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (* 1 1) into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [backup-simplify]: Simplify (+ 0 1) into 1
0.333 * [backup-simplify]: Simplify (sqrt 1) into 1
0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.335 * [taylor]: Taking taylor expansion of re in re
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.336 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.336 * [taylor]: Taking taylor expansion of im in re
0.336 * [backup-simplify]: Simplify im into im
0.336 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.336 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.336 * [taylor]: Taking taylor expansion of re in re
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.337 * [backup-simplify]: Simplify (/ 1 1) into 1
0.337 * [backup-simplify]: Simplify (+ 0 1) into 1
0.338 * [backup-simplify]: Simplify (sqrt 1) into 1
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.340 * [backup-simplify]: Simplify (+ 1 1) into 2
0.340 * [taylor]: Taking taylor expansion of 2 in im
0.340 * [backup-simplify]: Simplify 2 into 2
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in im
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 2 into 2
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.346 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.346 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.346 * [taylor]: Taking taylor expansion of 1/2 in im
0.346 * [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
0.347 * [backup-simplify]: Simplify (* 1 1) into 1
0.347 * [backup-simplify]: Simplify (/ 1 1) into 1
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.349 * [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
0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.354 * [backup-simplify]: Simplify (+ 0 0) into 0
0.354 * [taylor]: Taking taylor expansion of 0 in im
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.357 * [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))
0.357 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.357 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.358 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.358 * [taylor]: Taking taylor expansion of im in im
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (* 1 1) into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.358 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.358 * [taylor]: Taking taylor expansion of re in im
0.359 * [backup-simplify]: Simplify re into re
0.359 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.359 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.359 * [backup-simplify]: Simplify (+ 1 0) into 1
0.360 * [backup-simplify]: Simplify (sqrt 1) into 1
0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.362 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.362 * [taylor]: Taking taylor expansion of re in im
0.362 * [backup-simplify]: Simplify re into re
0.362 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.362 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.362 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.362 * [taylor]: Taking taylor expansion of im in re
0.362 * [backup-simplify]: Simplify im into im
0.362 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.363 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.363 * [taylor]: Taking taylor expansion of re in re
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (* 1 1) into 1
0.364 * [backup-simplify]: Simplify (/ 1 1) into 1
0.364 * [backup-simplify]: Simplify (+ 0 1) into 1
0.364 * [backup-simplify]: Simplify (sqrt 1) into 1
0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.367 * [taylor]: Taking taylor expansion of re in re
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.367 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.367 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.367 * [taylor]: Taking taylor expansion of im in re
0.368 * [backup-simplify]: Simplify im into im
0.368 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.368 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.368 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.368 * [taylor]: Taking taylor expansion of re in re
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (* 1 1) into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.369 * [backup-simplify]: Simplify (+ 0 1) into 1
0.369 * [backup-simplify]: Simplify (sqrt 1) into 1
0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.372 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.372 * [taylor]: Taking taylor expansion of re in re
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [backup-simplify]: Simplify (- 1) into -1
0.373 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.373 * [taylor]: Taking taylor expansion of 0 in im
0.373 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (- 0) into 0
0.375 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [taylor]: Taking taylor expansion of 0 in im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.378 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (- 0) into 0
0.380 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) 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 (/ 1 (pow im 2)) in im
0.380 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.380 * [taylor]: Taking taylor expansion of im in im
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (* 1 1) into 1
0.381 * [backup-simplify]: Simplify (/ 1 1) into 1
0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (- 0) into 0
0.389 * [backup-simplify]: Simplify (+ 0 0) into 0
0.389 * [taylor]: Taking taylor expansion of 0 in im
0.389 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.392 * [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))))))
0.392 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.392 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.393 * [taylor]: Taking taylor expansion of 2.0 in im
0.393 * [backup-simplify]: Simplify 2.0 into 2.0
0.393 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.394 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.394 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.394 * [taylor]: Taking taylor expansion of re in im
0.394 * [backup-simplify]: Simplify re into re
0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.394 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.394 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.394 * [taylor]: Taking taylor expansion of re in im
0.394 * [backup-simplify]: Simplify re into re
0.394 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.394 * [taylor]: Taking taylor expansion of im in im
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.394 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.395 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.395 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.395 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.395 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.396 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.396 * [taylor]: Taking taylor expansion of 2.0 in re
0.396 * [backup-simplify]: Simplify 2.0 into 2.0
0.397 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.397 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.397 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.397 * [taylor]: Taking taylor expansion of re in re
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.398 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.398 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.398 * [taylor]: Taking taylor expansion of re in re
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.398 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.398 * [taylor]: Taking taylor expansion of im in re
0.398 * [backup-simplify]: Simplify im into im
0.398 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.398 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.398 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.398 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.403 * [backup-simplify]: Simplify (+ 0 im) into im
0.403 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.404 * [backup-simplify]: Simplify (+ 1 0) into 1
0.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.404 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.404 * [taylor]: Taking taylor expansion of 2.0 in re
0.404 * [backup-simplify]: Simplify 2.0 into 2.0
0.404 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.405 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.405 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.405 * [taylor]: Taking taylor expansion of re in re
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.405 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.405 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.405 * [taylor]: Taking taylor expansion of re in re
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.406 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.406 * [taylor]: Taking taylor expansion of im in re
0.406 * [backup-simplify]: Simplify im into im
0.406 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.406 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.406 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.406 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.407 * [backup-simplify]: Simplify (+ 0 im) into im
0.407 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.407 * [backup-simplify]: Simplify (+ 1 0) into 1
0.407 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.408 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.408 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.408 * [taylor]: Taking taylor expansion of 2.0 in im
0.408 * [backup-simplify]: Simplify 2.0 into 2.0
0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.409 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.409 * [taylor]: Taking taylor expansion of im in im
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.410 * [backup-simplify]: Simplify (sqrt 0) into 0
0.411 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.411 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.411 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.412 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.412 * [taylor]: Taking taylor expansion of 1/2 in im
0.412 * [backup-simplify]: Simplify 1/2 into 1/2
0.412 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.412 * [taylor]: Taking taylor expansion of 2.0 in im
0.412 * [backup-simplify]: Simplify 2.0 into 2.0
0.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.413 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.413 * [taylor]: Taking taylor expansion of im in im
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (/ 1 1) into 1
0.413 * [backup-simplify]: Simplify (sqrt 0) into 0
0.414 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.415 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.416 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.418 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.419 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.420 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.421 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.421 * [backup-simplify]: Simplify (* 1 1) into 1
0.421 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.422 * [backup-simplify]: Simplify (+ 1 0) into 1
0.422 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.422 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.423 * [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))))
0.423 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.424 * [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)))))
0.424 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.424 * [taylor]: Taking taylor expansion of 1/8 in im
0.424 * [backup-simplify]: Simplify 1/8 into 1/8
0.424 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.424 * [taylor]: Taking taylor expansion of 2.0 in im
0.424 * [backup-simplify]: Simplify 2.0 into 2.0
0.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.425 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.425 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.425 * [taylor]: Taking taylor expansion of im in im
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.425 * [backup-simplify]: Simplify (/ 1 1) into 1
0.426 * [backup-simplify]: Simplify (sqrt 0) into 0
0.426 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.432 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.433 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.433 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.436 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.437 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.440 * [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)))))))
0.440 * [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)))))))
0.440 * [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
0.441 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.441 * [taylor]: Taking taylor expansion of 2.0 in im
0.441 * [backup-simplify]: Simplify 2.0 into 2.0
0.441 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.441 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.441 * [taylor]: Taking taylor expansion of re in im
0.441 * [backup-simplify]: Simplify re into re
0.441 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.441 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.441 * [taylor]: Taking taylor expansion of im in im
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify (* 1 1) into 1
0.442 * [backup-simplify]: Simplify (/ 1 1) into 1
0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.442 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.442 * [taylor]: Taking taylor expansion of re in im
0.442 * [backup-simplify]: Simplify re into re
0.442 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.442 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.442 * [backup-simplify]: Simplify (+ 1 0) into 1
0.443 * [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
0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.444 * [backup-simplify]: Simplify (+ 0 1) into 1
0.445 * [backup-simplify]: Simplify (sqrt 0) into 0
0.445 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.445 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.446 * [taylor]: Taking taylor expansion of 2.0 in re
0.446 * [backup-simplify]: Simplify 2.0 into 2.0
0.446 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.446 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.446 * [taylor]: Taking taylor expansion of re in re
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify (/ 1 1) into 1
0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.447 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.447 * [taylor]: Taking taylor expansion of im in re
0.447 * [backup-simplify]: Simplify im into im
0.447 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.447 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.447 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.447 * [taylor]: Taking taylor expansion of re in re
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify (* 1 1) into 1
0.447 * [backup-simplify]: Simplify (/ 1 1) into 1
0.448 * [backup-simplify]: Simplify (+ 0 1) into 1
0.448 * [backup-simplify]: Simplify (sqrt 1) into 1
0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (+ 0 0) into 0
0.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.450 * [backup-simplify]: Simplify (+ 1 1) into 2
0.450 * [backup-simplify]: Simplify (sqrt 0) into 0
0.450 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.451 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.451 * [taylor]: Taking taylor expansion of 2.0 in re
0.451 * [backup-simplify]: Simplify 2.0 into 2.0
0.451 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.451 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.451 * [taylor]: Taking taylor expansion of re in re
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (/ 1 1) into 1
0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.452 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.452 * [taylor]: Taking taylor expansion of im in re
0.452 * [backup-simplify]: Simplify im into im
0.452 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.452 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.452 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.452 * [taylor]: Taking taylor expansion of re in re
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (* 1 1) into 1
0.452 * [backup-simplify]: Simplify (/ 1 1) into 1
0.453 * [backup-simplify]: Simplify (+ 0 1) into 1
0.453 * [backup-simplify]: Simplify (sqrt 1) into 1
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.454 * [backup-simplify]: Simplify (+ 0 0) into 0
0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.455 * [backup-simplify]: Simplify (+ 1 1) into 2
0.455 * [backup-simplify]: Simplify (sqrt 0) into 0
0.455 * [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
0.457 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.457 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.457 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.457 * [taylor]: Taking taylor expansion of +nan.0 in im
0.457 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.457 * [taylor]: Taking taylor expansion of 2.0 in im
0.457 * [backup-simplify]: Simplify 2.0 into 2.0
0.457 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (+ 0 0) into 0
0.461 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.462 * [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)
0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.467 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.469 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.470 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.470 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.475 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.475 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.477 * [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))
0.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.480 * [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)))))
0.480 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.480 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.480 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.480 * [taylor]: Taking taylor expansion of +nan.0 in im
0.480 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.480 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.480 * [taylor]: Taking taylor expansion of 2.0 in im
0.480 * [backup-simplify]: Simplify 2.0 into 2.0
0.481 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.481 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.481 * [taylor]: Taking taylor expansion of im in im
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 1 into 1
0.482 * [backup-simplify]: Simplify (* 1 1) into 1
0.483 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.483 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.483 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.483 * [taylor]: Taking taylor expansion of +nan.0 in im
0.483 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.483 * [taylor]: Taking taylor expansion of 2.0 in im
0.483 * [backup-simplify]: Simplify 2.0 into 2.0
0.484 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.488 * [backup-simplify]: Simplify (- 0) into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.490 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.492 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.493 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.493 * [backup-simplify]: Simplify (- 0) into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.494 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.497 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [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)))
0.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.500 * [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)))))
0.500 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.500 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.500 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.500 * [taylor]: Taking taylor expansion of +nan.0 in im
0.500 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.500 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.500 * [taylor]: Taking taylor expansion of 2.0 in im
0.500 * [backup-simplify]: Simplify 2.0 into 2.0
0.500 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.501 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.501 * [taylor]: Taking taylor expansion of im in im
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.501 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.501 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.501 * [taylor]: Taking taylor expansion of +nan.0 in im
0.502 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.502 * [taylor]: Taking taylor expansion of 2.0 in im
0.502 * [backup-simplify]: Simplify 2.0 into 2.0
0.502 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.504 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (- 0) into 0
0.504 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.510 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.511 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.513 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.514 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.515 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.518 * [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)))))))
0.518 * [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))))
0.518 * [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
0.518 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.518 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.518 * [taylor]: Taking taylor expansion of 2.0 in im
0.518 * [backup-simplify]: Simplify 2.0 into 2.0
0.518 * [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 im
0.519 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.519 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.519 * [taylor]: Taking taylor expansion of im in im
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (* 1 1) into 1
0.519 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.520 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.520 * [taylor]: Taking taylor expansion of re in im
0.520 * [backup-simplify]: Simplify re into re
0.520 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.520 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.520 * [backup-simplify]: Simplify (+ 1 0) into 1
0.520 * [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
0.521 * [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 im
0.522 * [taylor]: Taking taylor expansion of re in im
0.522 * [backup-simplify]: Simplify re into re
0.522 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.522 * [backup-simplify]: Simplify (+ 1 0) into 1
0.522 * [backup-simplify]: Simplify (sqrt 0) into 0
0.523 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.523 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.523 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.523 * [taylor]: Taking taylor expansion of 2.0 in re
0.523 * [backup-simplify]: Simplify 2.0 into 2.0
0.523 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.524 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.524 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.524 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.524 * [taylor]: Taking taylor expansion of im in re
0.524 * [backup-simplify]: Simplify im into im
0.524 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.524 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.524 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.524 * [taylor]: Taking taylor expansion of re in re
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.525 * [backup-simplify]: Simplify (* 1 1) into 1
0.525 * [backup-simplify]: Simplify (/ 1 1) into 1
0.525 * [backup-simplify]: Simplify (+ 0 1) into 1
0.525 * [backup-simplify]: Simplify (sqrt 1) into 1
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.527 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.527 * [taylor]: Taking taylor expansion of re in re
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 1 into 1
0.527 * [backup-simplify]: Simplify (/ 1 1) into 1
0.527 * [backup-simplify]: Simplify (- 1) into -1
0.527 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (- 0) into 0
0.528 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.530 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (- 0) into 0
0.531 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.531 * [backup-simplify]: Simplify (sqrt 0) into 0
0.532 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.532 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.532 * [taylor]: Taking taylor expansion of 2.0 in re
0.532 * [backup-simplify]: Simplify 2.0 into 2.0
0.532 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.533 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.533 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.533 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.533 * [taylor]: Taking taylor expansion of im in re
0.533 * [backup-simplify]: Simplify im into im
0.533 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.533 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.533 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.533 * [taylor]: Taking taylor expansion of re in re
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (/ 1 1) into 1
0.534 * [backup-simplify]: Simplify (+ 0 1) into 1
0.534 * [backup-simplify]: Simplify (sqrt 1) into 1
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.536 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.536 * [taylor]: Taking taylor expansion of re in re
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify 1 into 1
0.536 * [backup-simplify]: Simplify (/ 1 1) into 1
0.536 * [backup-simplify]: Simplify (- 1) into -1
0.536 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (- 0) into 0
0.537 * [backup-simplify]: Simplify (+ 0 0) into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.539 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (- 0) into 0
0.540 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.540 * [backup-simplify]: Simplify (sqrt 0) into 0
0.541 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.541 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.541 * [taylor]: Taking taylor expansion of 0 in im
0.541 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.542 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.542 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.542 * [taylor]: Taking taylor expansion of +nan.0 in im
0.542 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.542 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.542 * [taylor]: Taking taylor expansion of 2.0 in im
0.542 * [backup-simplify]: Simplify 2.0 into 2.0
0.542 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.542 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.542 * [taylor]: Taking taylor expansion of im in im
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.543 * [backup-simplify]: Simplify (* 1 1) into 1
0.543 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.545 * [backup-simplify]: Simplify (- 0) into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (+ 0 0) into 0
0.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (- 0) into 0
0.549 * [backup-simplify]: Simplify (+ 0 0) into 0
0.550 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.551 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.552 * [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))))
0.552 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.552 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.552 * [taylor]: Taking taylor expansion of +nan.0 in im
0.553 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.553 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.553 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.553 * [taylor]: Taking taylor expansion of 2.0 in im
0.553 * [backup-simplify]: Simplify 2.0 into 2.0
0.553 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.554 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.554 * [taylor]: Taking taylor expansion of im in im
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (* 1 1) into 1
0.555 * [backup-simplify]: Simplify (* 1 1) into 1
0.556 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.557 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.568 * [backup-simplify]: Simplify (- 0) into 0
0.568 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.573 * [backup-simplify]: Simplify (- 0) into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (+ 0 0) into 0
0.578 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (- 0) into 0
0.579 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.580 * [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))))))
0.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.584 * [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))))))
0.584 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.584 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.584 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.584 * [taylor]: Taking taylor expansion of +nan.0 in im
0.584 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.584 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.584 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.584 * [taylor]: Taking taylor expansion of 2.0 in im
0.584 * [backup-simplify]: Simplify 2.0 into 2.0
0.585 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.585 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.585 * [taylor]: Taking taylor expansion of im in im
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 1 into 1
0.586 * [backup-simplify]: Simplify (* 1 1) into 1
0.586 * [backup-simplify]: Simplify (* 1 1) into 1
0.587 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.587 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.587 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.587 * [taylor]: Taking taylor expansion of +nan.0 in im
0.587 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.587 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.587 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.587 * [taylor]: Taking taylor expansion of 2.0 in im
0.587 * [backup-simplify]: Simplify 2.0 into 2.0
0.588 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.588 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.588 * [taylor]: Taking taylor expansion of im in im
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 1 into 1
0.589 * [backup-simplify]: Simplify (* 1 1) into 1
0.589 * [backup-simplify]: Simplify (* 1 1) into 1
0.590 * [backup-simplify]: Simplify (* 1 1) into 1
0.591 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.592 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.637 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.638 * [backup-simplify]: Simplify (- 0) into 0
0.638 * [backup-simplify]: Simplify (+ 0 0) into 0
0.638 * [backup-simplify]: Simplify (- 0) into 0
0.638 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify 0 into 0
0.639 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.639 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.639 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.639 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.639 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.639 * [taylor]: Taking taylor expansion of re in im
0.639 * [backup-simplify]: Simplify re into re
0.639 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.639 * [taylor]: Taking taylor expansion of im in im
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify 1 into 1
0.639 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.639 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.639 * [taylor]: Taking taylor expansion of re in re
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify 1 into 1
0.639 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.639 * [taylor]: Taking taylor expansion of im in re
0.639 * [backup-simplify]: Simplify im into im
0.639 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.639 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.639 * [taylor]: Taking taylor expansion of re in re
0.640 * [backup-simplify]: Simplify 0 into 0
0.640 * [backup-simplify]: Simplify 1 into 1
0.640 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.640 * [taylor]: Taking taylor expansion of im in re
0.640 * [backup-simplify]: Simplify im into im
0.640 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.640 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.640 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.640 * [taylor]: Taking taylor expansion of im in im
0.640 * [backup-simplify]: Simplify 0 into 0
0.640 * [backup-simplify]: Simplify 1 into 1
0.640 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.641 * [backup-simplify]: Simplify (+ 0 0) into 0
0.641 * [taylor]: Taking taylor expansion of 0 in im
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify (* 1 1) into 1
0.642 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.642 * [backup-simplify]: Simplify (+ 1 0) into 1
0.642 * [taylor]: Taking taylor expansion of 1 in im
0.642 * [backup-simplify]: Simplify 1 into 1
0.642 * [backup-simplify]: Simplify 1 into 1
0.642 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify (* 1 1) into 1
0.643 * [backup-simplify]: Simplify 1 into 1
0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.644 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.644 * [backup-simplify]: Simplify (+ 0 0) into 0
0.645 * [taylor]: Taking taylor expansion of 0 in im
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.645 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.647 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.648 * [backup-simplify]: Simplify (+ 0 0) into 0
0.648 * [taylor]: Taking taylor expansion of 0 in im
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.648 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.648 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.649 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.649 * [taylor]: Taking taylor expansion of im in im
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify 1 into 1
0.649 * [backup-simplify]: Simplify (* 1 1) into 1
0.649 * [backup-simplify]: Simplify (/ 1 1) into 1
0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.649 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.649 * [taylor]: Taking taylor expansion of re in im
0.649 * [backup-simplify]: Simplify re into re
0.650 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.650 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.650 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.650 * [taylor]: Taking taylor expansion of im in re
0.650 * [backup-simplify]: Simplify im into im
0.650 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.650 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.650 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.650 * [taylor]: Taking taylor expansion of re in re
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [backup-simplify]: Simplify (* 1 1) into 1
0.651 * [backup-simplify]: Simplify (/ 1 1) into 1
0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.651 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.651 * [taylor]: Taking taylor expansion of im in re
0.651 * [backup-simplify]: Simplify im into im
0.651 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.651 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.651 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.651 * [taylor]: Taking taylor expansion of re in re
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify 1 into 1
0.652 * [backup-simplify]: Simplify (* 1 1) into 1
0.652 * [backup-simplify]: Simplify (/ 1 1) into 1
0.653 * [backup-simplify]: Simplify (+ 0 1) into 1
0.653 * [taylor]: Taking taylor expansion of 1 in im
0.653 * [backup-simplify]: Simplify 1 into 1
0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.654 * [backup-simplify]: Simplify (+ 0 0) into 0
0.655 * [taylor]: Taking taylor expansion of 0 in im
0.655 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.657 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.657 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.657 * [taylor]: Taking taylor expansion of im in im
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 1 into 1
0.657 * [backup-simplify]: Simplify (* 1 1) into 1
0.658 * [backup-simplify]: Simplify (/ 1 1) into 1
0.658 * [backup-simplify]: Simplify 1 into 1
0.658 * [backup-simplify]: Simplify 1 into 1
0.658 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.660 * [backup-simplify]: Simplify (+ 0 0) into 0
0.660 * [taylor]: Taking taylor expansion of 0 in im
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.662 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.666 * [backup-simplify]: Simplify (+ 0 0) into 0
0.666 * [taylor]: Taking taylor expansion of 0 in im
0.666 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.668 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.668 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.669 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.669 * [taylor]: Taking taylor expansion of im in im
0.669 * [backup-simplify]: Simplify 0 into 0
0.669 * [backup-simplify]: Simplify 1 into 1
0.669 * [backup-simplify]: Simplify (* 1 1) into 1
0.669 * [backup-simplify]: Simplify (/ 1 1) into 1
0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.670 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.670 * [taylor]: Taking taylor expansion of re in im
0.670 * [backup-simplify]: Simplify re into re
0.670 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.670 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.670 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.670 * [taylor]: Taking taylor expansion of im in re
0.670 * [backup-simplify]: Simplify im into im
0.670 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.670 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.670 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.670 * [taylor]: Taking taylor expansion of re in re
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.671 * [backup-simplify]: Simplify (* 1 1) into 1
0.671 * [backup-simplify]: Simplify (/ 1 1) into 1
0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.671 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.671 * [taylor]: Taking taylor expansion of im in re
0.671 * [backup-simplify]: Simplify im into im
0.671 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.672 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.672 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.672 * [taylor]: Taking taylor expansion of re in re
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 1 into 1
0.672 * [backup-simplify]: Simplify (* 1 1) into 1
0.672 * [backup-simplify]: Simplify (/ 1 1) into 1
0.673 * [backup-simplify]: Simplify (+ 0 1) into 1
0.673 * [taylor]: Taking taylor expansion of 1 in im
0.673 * [backup-simplify]: Simplify 1 into 1
0.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.675 * [backup-simplify]: Simplify (+ 0 0) into 0
0.675 * [taylor]: Taking taylor expansion of 0 in im
0.675 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.677 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.677 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.677 * [taylor]: Taking taylor expansion of im in im
0.677 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify 1 into 1
0.677 * [backup-simplify]: Simplify (* 1 1) into 1
0.678 * [backup-simplify]: Simplify (/ 1 1) into 1
0.678 * [backup-simplify]: Simplify 1 into 1
0.678 * [backup-simplify]: Simplify 1 into 1
0.678 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.681 * [backup-simplify]: Simplify (+ 0 0) into 0
0.681 * [taylor]: Taking taylor expansion of 0 in im
0.681 * [backup-simplify]: Simplify 0 into 0
0.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.686 * [backup-simplify]: Simplify (+ 0 0) into 0
0.686 * [taylor]: Taking taylor expansion of 0 in im
0.686 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.688 * * * [progress]: simplifying candidates
0.690 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
0.693 * * [simplify]: Extracting # 0 : cost  0
0.693 * * [simplify]: Extracting # 1 : cost  0
0.694 * * [simplify]: Extracting # 2 : cost  0
0.694 * * [simplify]: Extracting # 3 : cost  0
0.694 * * [simplify]: Extracting # 4 : cost  0
0.694 * * [simplify]: Extracting # 5 : cost  0
0.695 * * [simplify]: Extracting # 6 : cost  0
0.695 * * [simplify]: Extracting # 7 : cost  0
0.695 * * [simplify]: Extracting # 8 : cost  0
0.695 * * [simplify]: Extracting # 9 : cost  0
0.696 * * [simplify]: Extracting # 10 : cost  0
0.696 * * [simplify]: Extracting # 11 : cost  0
0.696 * * [simplify]: iteration  0 :  108  enodes  (cost  888 )
0.742 * * [simplify]: Extracting # 0 : cost  0
0.743 * * [simplify]: Extracting # 1 : cost  0
0.744 * * [simplify]: Extracting # 2 : cost  0
0.744 * * [simplify]: Extracting # 3 : cost  0
0.745 * * [simplify]: Extracting # 4 : cost  0
0.745 * * [simplify]: iteration  1 :  271  enodes  (cost  774 )
0.944 * * [simplify]: Extracting # 0 : cost  0
0.946 * * [simplify]: Extracting # 1 : cost  0
0.947 * * [simplify]: Extracting # 2 : cost  0
0.948 * * [simplify]: Extracting # 3 : cost  0
0.949 * * [simplify]: Extracting # 4 : cost  0
0.950 * * [simplify]: iteration  2 :  755  enodes  (cost  698 )
1.351 * * [simplify]: Extracting # 0 : cost  0
1.353 * * [simplify]: Extracting # 1 : cost  0
1.355 * * [simplify]: Extracting # 2 : cost  0
1.357 * * [simplify]: Extracting # 3 : cost  0
1.358 * * [simplify]: Extracting # 4 : cost  0
1.360 * * [simplify]: iteration  3 :  2070  enodes  (cost  673 )
2.825 * * [simplify]: Extracting # 0 : cost  0
2.837 * * [simplify]: Extracting # 1 : cost  0
2.848 * * [simplify]: Extracting # 2 : cost  0
2.858 * * [simplify]: Extracting # 3 : cost  0
2.868 * * [simplify]: Extracting # 4 : cost  0
2.886 * * [simplify]: iteration done:  5000  enodes  (cost  668 )
2.887 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im)))
  (sqrt (* (* im im) 2.0))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (+ (* re re) (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (pow (+ (* re re) (* im im)) 3)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow im 6) (pow re 6))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (- (* re re) (* im im))
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  (* (* +nan.0 (sqrt 2.0)) (- (- im re) (* re re)))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
  0
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
2.887 * * * [progress]: adding candidates to table
3.180 * * [progress]: iteration 2 / 4
3.180 * * * [progress]: picking best candidate
3.210 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.210 * * * [progress]: localizing error
3.228 * * * [progress]: generating rewritten candidates
3.228 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
3.241 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
3.252 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
3.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
3.404 * * * [progress]: generating series expansions
3.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
3.405 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.405 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.405 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.405 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.405 * [taylor]: Taking taylor expansion of re in im
3.405 * [backup-simplify]: Simplify re into re
3.405 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.405 * [taylor]: Taking taylor expansion of im in im
3.405 * [backup-simplify]: Simplify 0 into 0
3.405 * [backup-simplify]: Simplify 1 into 1
3.405 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.405 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.406 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.406 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.406 * [backup-simplify]: Simplify (+ 0 0) into 0
3.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.407 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.407 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.407 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.407 * [taylor]: Taking taylor expansion of re in re
3.407 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify 1 into 1
3.407 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.407 * [taylor]: Taking taylor expansion of im in re
3.407 * [backup-simplify]: Simplify im into im
3.407 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.407 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.407 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.407 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.408 * [backup-simplify]: Simplify (+ 0 0) into 0
3.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.408 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.408 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.408 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.408 * [taylor]: Taking taylor expansion of re in re
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 1 into 1
3.408 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.408 * [taylor]: Taking taylor expansion of im in re
3.408 * [backup-simplify]: Simplify im into im
3.408 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.409 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.409 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.409 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.409 * [backup-simplify]: Simplify (+ 0 0) into 0
3.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.409 * [taylor]: Taking taylor expansion of im in im
3.409 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 1 into 1
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [taylor]: Taking taylor expansion of 0 in im
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 1 into 1
3.410 * [backup-simplify]: Simplify (* 1 1) into 1
3.411 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.411 * [backup-simplify]: Simplify (+ 1 0) into 1
3.412 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.412 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.412 * [taylor]: Taking taylor expansion of 1/2 in im
3.412 * [backup-simplify]: Simplify 1/2 into 1/2
3.412 * [taylor]: Taking taylor expansion of im in im
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 1 into 1
3.413 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.413 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.415 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.415 * [backup-simplify]: Simplify (+ 0 0) into 0
3.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.416 * [taylor]: Taking taylor expansion of 0 in im
3.416 * [backup-simplify]: Simplify 0 into 0
3.416 * [backup-simplify]: Simplify 0 into 0
3.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.417 * [backup-simplify]: Simplify 0 into 0
3.417 * [backup-simplify]: Simplify 0 into 0
3.417 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.417 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.417 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.418 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.418 * [taylor]: Taking taylor expansion of im in im
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 1 into 1
3.418 * [backup-simplify]: Simplify (* 1 1) into 1
3.418 * [backup-simplify]: Simplify (/ 1 1) into 1
3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.418 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.419 * [taylor]: Taking taylor expansion of re in im
3.419 * [backup-simplify]: Simplify re into re
3.419 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.419 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.419 * [backup-simplify]: Simplify (+ 1 0) into 1
3.420 * [backup-simplify]: Simplify (sqrt 1) into 1
3.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.422 * [backup-simplify]: Simplify (+ 0 0) into 0
3.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.423 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.423 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.423 * [taylor]: Taking taylor expansion of im in re
3.423 * [backup-simplify]: Simplify im into im
3.423 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.423 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.423 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.423 * [taylor]: Taking taylor expansion of re in re
3.423 * [backup-simplify]: Simplify 0 into 0
3.423 * [backup-simplify]: Simplify 1 into 1
3.424 * [backup-simplify]: Simplify (* 1 1) into 1
3.424 * [backup-simplify]: Simplify (/ 1 1) into 1
3.425 * [backup-simplify]: Simplify (+ 0 1) into 1
3.425 * [backup-simplify]: Simplify (sqrt 1) into 1
3.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.427 * [backup-simplify]: Simplify (+ 0 0) into 0
3.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.428 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.428 * [taylor]: Taking taylor expansion of im in re
3.428 * [backup-simplify]: Simplify im into im
3.428 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.428 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.428 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.428 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.428 * [taylor]: Taking taylor expansion of re in re
3.428 * [backup-simplify]: Simplify 0 into 0
3.428 * [backup-simplify]: Simplify 1 into 1
3.429 * [backup-simplify]: Simplify (* 1 1) into 1
3.429 * [backup-simplify]: Simplify (/ 1 1) into 1
3.429 * [backup-simplify]: Simplify (+ 0 1) into 1
3.430 * [backup-simplify]: Simplify (sqrt 1) into 1
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.432 * [backup-simplify]: Simplify (+ 0 0) into 0
3.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.433 * [taylor]: Taking taylor expansion of 1 in im
3.433 * [backup-simplify]: Simplify 1 into 1
3.433 * [taylor]: Taking taylor expansion of 0 in im
3.433 * [backup-simplify]: Simplify 0 into 0
3.433 * [backup-simplify]: Simplify 1 into 1
3.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.435 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.436 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.436 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.436 * [taylor]: Taking taylor expansion of 1/2 in im
3.436 * [backup-simplify]: Simplify 1/2 into 1/2
3.436 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.436 * [taylor]: Taking taylor expansion of im in im
3.436 * [backup-simplify]: Simplify 0 into 0
3.436 * [backup-simplify]: Simplify 1 into 1
3.437 * [backup-simplify]: Simplify (* 1 1) into 1
3.437 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.439 * [backup-simplify]: Simplify 0 into 0
3.439 * [backup-simplify]: Simplify 0 into 0
3.439 * [backup-simplify]: Simplify 0 into 0
3.439 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.441 * [backup-simplify]: Simplify (+ 0 0) into 0
3.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.442 * [taylor]: Taking taylor expansion of 0 in im
3.442 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.444 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.444 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.444 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.445 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.445 * [taylor]: Taking taylor expansion of im in im
3.445 * [backup-simplify]: Simplify 0 into 0
3.445 * [backup-simplify]: Simplify 1 into 1
3.445 * [backup-simplify]: Simplify (* 1 1) into 1
3.446 * [backup-simplify]: Simplify (/ 1 1) into 1
3.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.446 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.446 * [taylor]: Taking taylor expansion of re in im
3.446 * [backup-simplify]: Simplify re into re
3.446 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.446 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.446 * [backup-simplify]: Simplify (+ 1 0) into 1
3.447 * [backup-simplify]: Simplify (sqrt 1) into 1
3.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.448 * [backup-simplify]: Simplify (+ 0 0) into 0
3.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.448 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.448 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.448 * [taylor]: Taking taylor expansion of im in re
3.449 * [backup-simplify]: Simplify im into im
3.449 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.449 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.449 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.449 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.449 * [taylor]: Taking taylor expansion of re in re
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify 1 into 1
3.449 * [backup-simplify]: Simplify (* 1 1) into 1
3.449 * [backup-simplify]: Simplify (/ 1 1) into 1
3.449 * [backup-simplify]: Simplify (+ 0 1) into 1
3.450 * [backup-simplify]: Simplify (sqrt 1) into 1
3.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.451 * [backup-simplify]: Simplify (+ 0 0) into 0
3.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.451 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.451 * [taylor]: Taking taylor expansion of im in re
3.451 * [backup-simplify]: Simplify im into im
3.451 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.451 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.452 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.452 * [taylor]: Taking taylor expansion of re in re
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 1 into 1
3.452 * [backup-simplify]: Simplify (* 1 1) into 1
3.452 * [backup-simplify]: Simplify (/ 1 1) into 1
3.452 * [backup-simplify]: Simplify (+ 0 1) into 1
3.453 * [backup-simplify]: Simplify (sqrt 1) into 1
3.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.454 * [backup-simplify]: Simplify (+ 0 0) into 0
3.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.454 * [taylor]: Taking taylor expansion of 1 in im
3.454 * [backup-simplify]: Simplify 1 into 1
3.454 * [taylor]: Taking taylor expansion of 0 in im
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 1 into 1
3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.456 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.456 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.456 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.456 * [taylor]: Taking taylor expansion of 1/2 in im
3.456 * [backup-simplify]: Simplify 1/2 into 1/2
3.456 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.456 * [taylor]: Taking taylor expansion of im in im
3.456 * [backup-simplify]: Simplify 0 into 0
3.456 * [backup-simplify]: Simplify 1 into 1
3.457 * [backup-simplify]: Simplify (* 1 1) into 1
3.457 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.460 * [backup-simplify]: Simplify (+ 0 0) into 0
3.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.460 * [taylor]: Taking taylor expansion of 0 in im
3.460 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.461 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
3.462 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.462 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.462 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.462 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.462 * [taylor]: Taking taylor expansion of re in im
3.462 * [backup-simplify]: Simplify re into re
3.462 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.462 * [taylor]: Taking taylor expansion of im in im
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 1 into 1
3.462 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.462 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.462 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.462 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.462 * [backup-simplify]: Simplify (+ 0 0) into 0
3.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.463 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.463 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.463 * [taylor]: Taking taylor expansion of re in re
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 1 into 1
3.463 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.463 * [taylor]: Taking taylor expansion of im in re
3.463 * [backup-simplify]: Simplify im into im
3.463 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.463 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.463 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.463 * [backup-simplify]: Simplify (+ 0 0) into 0
3.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.463 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.463 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.463 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.463 * [taylor]: Taking taylor expansion of re in re
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 1 into 1
3.463 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.463 * [taylor]: Taking taylor expansion of im in re
3.463 * [backup-simplify]: Simplify im into im
3.463 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.464 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.464 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.464 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.464 * [backup-simplify]: Simplify (+ 0 0) into 0
3.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.464 * [taylor]: Taking taylor expansion of im in im
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 1 into 1
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [taylor]: Taking taylor expansion of 0 in im
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 1 into 1
3.464 * [backup-simplify]: Simplify (* 1 1) into 1
3.465 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.465 * [backup-simplify]: Simplify (+ 1 0) into 1
3.465 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.465 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.466 * [taylor]: Taking taylor expansion of 1/2 in im
3.466 * [backup-simplify]: Simplify 1/2 into 1/2
3.466 * [taylor]: Taking taylor expansion of im in im
3.466 * [backup-simplify]: Simplify 0 into 0
3.466 * [backup-simplify]: Simplify 1 into 1
3.466 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.466 * [backup-simplify]: Simplify 0 into 0
3.466 * [backup-simplify]: Simplify 0 into 0
3.466 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.467 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.467 * [backup-simplify]: Simplify (+ 0 0) into 0
3.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.468 * [taylor]: Taking taylor expansion of 0 in im
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.468 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.469 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.469 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.469 * [taylor]: Taking taylor expansion of im in im
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 1 into 1
3.469 * [backup-simplify]: Simplify (* 1 1) into 1
3.469 * [backup-simplify]: Simplify (/ 1 1) into 1
3.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.469 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.469 * [taylor]: Taking taylor expansion of re in im
3.469 * [backup-simplify]: Simplify re into re
3.469 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.469 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.470 * [backup-simplify]: Simplify (+ 1 0) into 1
3.470 * [backup-simplify]: Simplify (sqrt 1) into 1
3.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.471 * [backup-simplify]: Simplify (+ 0 0) into 0
3.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.471 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.472 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.472 * [taylor]: Taking taylor expansion of im in re
3.472 * [backup-simplify]: Simplify im into im
3.472 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.472 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.472 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.472 * [taylor]: Taking taylor expansion of re in re
3.472 * [backup-simplify]: Simplify 0 into 0
3.472 * [backup-simplify]: Simplify 1 into 1
3.472 * [backup-simplify]: Simplify (* 1 1) into 1
3.472 * [backup-simplify]: Simplify (/ 1 1) into 1
3.473 * [backup-simplify]: Simplify (+ 0 1) into 1
3.473 * [backup-simplify]: Simplify (sqrt 1) into 1
3.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.474 * [backup-simplify]: Simplify (+ 0 0) into 0
3.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.474 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.474 * [taylor]: Taking taylor expansion of im in re
3.474 * [backup-simplify]: Simplify im into im
3.474 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.474 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.475 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.475 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.475 * [taylor]: Taking taylor expansion of re in re
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [backup-simplify]: Simplify 1 into 1
3.475 * [backup-simplify]: Simplify (* 1 1) into 1
3.475 * [backup-simplify]: Simplify (/ 1 1) into 1
3.475 * [backup-simplify]: Simplify (+ 0 1) into 1
3.476 * [backup-simplify]: Simplify (sqrt 1) into 1
3.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.477 * [backup-simplify]: Simplify (+ 0 0) into 0
3.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.477 * [taylor]: Taking taylor expansion of 1 in im
3.477 * [backup-simplify]: Simplify 1 into 1
3.477 * [taylor]: Taking taylor expansion of 0 in im
3.477 * [backup-simplify]: Simplify 0 into 0
3.477 * [backup-simplify]: Simplify 1 into 1
3.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.478 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.479 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.479 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.479 * [taylor]: Taking taylor expansion of 1/2 in im
3.479 * [backup-simplify]: Simplify 1/2 into 1/2
3.479 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.479 * [taylor]: Taking taylor expansion of im in im
3.479 * [backup-simplify]: Simplify 0 into 0
3.479 * [backup-simplify]: Simplify 1 into 1
3.480 * [backup-simplify]: Simplify (* 1 1) into 1
3.480 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.481 * [backup-simplify]: Simplify 0 into 0
3.481 * [backup-simplify]: Simplify 0 into 0
3.481 * [backup-simplify]: Simplify 0 into 0
3.482 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.484 * [backup-simplify]: Simplify (+ 0 0) into 0
3.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.485 * [taylor]: Taking taylor expansion of 0 in im
3.485 * [backup-simplify]: Simplify 0 into 0
3.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.487 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.487 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.487 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.487 * [taylor]: Taking taylor expansion of im in im
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify 1 into 1
3.493 * [backup-simplify]: Simplify (* 1 1) into 1
3.493 * [backup-simplify]: Simplify (/ 1 1) into 1
3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.493 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.493 * [taylor]: Taking taylor expansion of re in im
3.493 * [backup-simplify]: Simplify re into re
3.494 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.494 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.494 * [backup-simplify]: Simplify (+ 1 0) into 1
3.495 * [backup-simplify]: Simplify (sqrt 1) into 1
3.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.496 * [backup-simplify]: Simplify (+ 0 0) into 0
3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.497 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.497 * [taylor]: Taking taylor expansion of im in re
3.497 * [backup-simplify]: Simplify im into im
3.497 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.498 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.498 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.498 * [taylor]: Taking taylor expansion of re in re
3.498 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify 1 into 1
3.498 * [backup-simplify]: Simplify (* 1 1) into 1
3.498 * [backup-simplify]: Simplify (/ 1 1) into 1
3.499 * [backup-simplify]: Simplify (+ 0 1) into 1
3.499 * [backup-simplify]: Simplify (sqrt 1) into 1
3.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.501 * [backup-simplify]: Simplify (+ 0 0) into 0
3.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.502 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.502 * [taylor]: Taking taylor expansion of im in re
3.502 * [backup-simplify]: Simplify im into im
3.502 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.502 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.502 * [taylor]: Taking taylor expansion of re in re
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 1 into 1
3.502 * [backup-simplify]: Simplify (* 1 1) into 1
3.503 * [backup-simplify]: Simplify (/ 1 1) into 1
3.503 * [backup-simplify]: Simplify (+ 0 1) into 1
3.504 * [backup-simplify]: Simplify (sqrt 1) into 1
3.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.505 * [backup-simplify]: Simplify (+ 0 0) into 0
3.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.506 * [taylor]: Taking taylor expansion of 1 in im
3.506 * [backup-simplify]: Simplify 1 into 1
3.506 * [taylor]: Taking taylor expansion of 0 in im
3.506 * [backup-simplify]: Simplify 0 into 0
3.506 * [backup-simplify]: Simplify 1 into 1
3.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.508 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.510 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.510 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.510 * [taylor]: Taking taylor expansion of 1/2 in im
3.510 * [backup-simplify]: Simplify 1/2 into 1/2
3.510 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.510 * [taylor]: Taking taylor expansion of im in im
3.510 * [backup-simplify]: Simplify 0 into 0
3.510 * [backup-simplify]: Simplify 1 into 1
3.510 * [backup-simplify]: Simplify (* 1 1) into 1
3.511 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.512 * [backup-simplify]: Simplify 0 into 0
3.512 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.516 * [backup-simplify]: Simplify (+ 0 0) into 0
3.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.516 * [taylor]: Taking taylor expansion of 0 in im
3.516 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.518 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify 0 into 0
3.519 * [backup-simplify]: Simplify 0 into 0
3.519 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.519 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
3.519 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
3.520 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
3.520 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
3.520 * [taylor]: Taking taylor expansion of re in im
3.520 * [backup-simplify]: Simplify re into re
3.520 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.520 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.520 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.520 * [taylor]: Taking taylor expansion of re in im
3.520 * [backup-simplify]: Simplify re into re
3.520 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.520 * [taylor]: Taking taylor expansion of im in im
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify 1 into 1
3.520 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.520 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.521 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.521 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.521 * [backup-simplify]: Simplify (+ 0 0) into 0
3.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.522 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.522 * [taylor]: Taking taylor expansion of re in re
3.522 * [backup-simplify]: Simplify 0 into 0
3.522 * [backup-simplify]: Simplify 1 into 1
3.522 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.522 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.522 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.522 * [taylor]: Taking taylor expansion of re in re
3.522 * [backup-simplify]: Simplify 0 into 0
3.522 * [backup-simplify]: Simplify 1 into 1
3.522 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.522 * [taylor]: Taking taylor expansion of im in re
3.522 * [backup-simplify]: Simplify im into im
3.522 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.522 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.522 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.522 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.523 * [backup-simplify]: Simplify (+ 0 0) into 0
3.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.523 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.523 * [taylor]: Taking taylor expansion of re in re
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.523 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.523 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.523 * [taylor]: Taking taylor expansion of re in re
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.523 * [taylor]: Taking taylor expansion of im in re
3.523 * [backup-simplify]: Simplify im into im
3.524 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.524 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.524 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.524 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.524 * [backup-simplify]: Simplify (+ 0 0) into 0
3.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.525 * [backup-simplify]: Simplify (+ 0 im) into im
3.525 * [taylor]: Taking taylor expansion of im in im
3.525 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify (+ 1 0) into 1
3.525 * [taylor]: Taking taylor expansion of 1 in im
3.525 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify 1 into 1
3.526 * [backup-simplify]: Simplify (* 1 1) into 1
3.526 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.527 * [backup-simplify]: Simplify (+ 1 0) into 1
3.527 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.527 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.528 * [taylor]: Taking taylor expansion of 1/2 in im
3.528 * [backup-simplify]: Simplify 1/2 into 1/2
3.528 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.528 * [taylor]: Taking taylor expansion of im in im
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [backup-simplify]: Simplify (/ 1 1) into 1
3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.531 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.532 * [backup-simplify]: Simplify (+ 0 0) into 0
3.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.532 * [backup-simplify]: Simplify (+ 0 0) into 0
3.532 * [taylor]: Taking taylor expansion of 0 in im
3.532 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify 0 into 0
3.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify 0 into 0
3.535 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.535 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
3.535 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.535 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.535 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.536 * [taylor]: Taking taylor expansion of re in im
3.536 * [backup-simplify]: Simplify re into re
3.536 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.536 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.536 * [taylor]: Taking taylor expansion of im in im
3.536 * [backup-simplify]: Simplify 0 into 0
3.536 * [backup-simplify]: Simplify 1 into 1
3.536 * [backup-simplify]: Simplify (* 1 1) into 1
3.537 * [backup-simplify]: Simplify (/ 1 1) into 1
3.537 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.537 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.537 * [taylor]: Taking taylor expansion of re in im
3.537 * [backup-simplify]: Simplify re into re
3.537 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.537 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.537 * [backup-simplify]: Simplify (+ 1 0) into 1
3.538 * [backup-simplify]: Simplify (sqrt 1) into 1
3.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.540 * [backup-simplify]: Simplify (+ 0 0) into 0
3.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.540 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.540 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.540 * [taylor]: Taking taylor expansion of re in re
3.540 * [backup-simplify]: Simplify 0 into 0
3.540 * [backup-simplify]: Simplify 1 into 1
3.541 * [backup-simplify]: Simplify (/ 1 1) into 1
3.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.541 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.541 * [taylor]: Taking taylor expansion of im in re
3.541 * [backup-simplify]: Simplify im into im
3.541 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.541 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.541 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.541 * [taylor]: Taking taylor expansion of re in re
3.541 * [backup-simplify]: Simplify 0 into 0
3.541 * [backup-simplify]: Simplify 1 into 1
3.542 * [backup-simplify]: Simplify (* 1 1) into 1
3.542 * [backup-simplify]: Simplify (/ 1 1) into 1
3.543 * [backup-simplify]: Simplify (+ 0 1) into 1
3.543 * [backup-simplify]: Simplify (sqrt 1) into 1
3.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.545 * [backup-simplify]: Simplify (+ 0 0) into 0
3.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.545 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.545 * [taylor]: Taking taylor expansion of re in re
3.546 * [backup-simplify]: Simplify 0 into 0
3.546 * [backup-simplify]: Simplify 1 into 1
3.546 * [backup-simplify]: Simplify (/ 1 1) into 1
3.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.546 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.546 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.546 * [taylor]: Taking taylor expansion of im in re
3.546 * [backup-simplify]: Simplify im into im
3.546 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.546 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.546 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.546 * [taylor]: Taking taylor expansion of re in re
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 1 into 1
3.547 * [backup-simplify]: Simplify (* 1 1) into 1
3.547 * [backup-simplify]: Simplify (/ 1 1) into 1
3.548 * [backup-simplify]: Simplify (+ 0 1) into 1
3.548 * [backup-simplify]: Simplify (sqrt 1) into 1
3.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.550 * [backup-simplify]: Simplify (+ 0 0) into 0
3.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.551 * [backup-simplify]: Simplify (+ 1 1) into 2
3.551 * [taylor]: Taking taylor expansion of 2 in im
3.551 * [backup-simplify]: Simplify 2 into 2
3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.552 * [backup-simplify]: Simplify (+ 0 0) into 0
3.552 * [taylor]: Taking taylor expansion of 0 in im
3.552 * [backup-simplify]: Simplify 0 into 0
3.552 * [backup-simplify]: Simplify 2 into 2
3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.555 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.556 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.556 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.556 * [taylor]: Taking taylor expansion of 1/2 in im
3.556 * [backup-simplify]: Simplify 1/2 into 1/2
3.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.556 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.556 * [taylor]: Taking taylor expansion of im in im
3.557 * [backup-simplify]: Simplify 0 into 0
3.557 * [backup-simplify]: Simplify 1 into 1
3.557 * [backup-simplify]: Simplify (* 1 1) into 1
3.557 * [backup-simplify]: Simplify (/ 1 1) into 1
3.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.559 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.561 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.563 * [backup-simplify]: Simplify (+ 0 0) into 0
3.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.564 * [backup-simplify]: Simplify (+ 0 0) into 0
3.564 * [taylor]: Taking taylor expansion of 0 in im
3.564 * [backup-simplify]: Simplify 0 into 0
3.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.568 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
3.568 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.568 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.568 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.568 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.568 * [taylor]: Taking taylor expansion of im in im
3.568 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify 1 into 1
3.569 * [backup-simplify]: Simplify (* 1 1) into 1
3.569 * [backup-simplify]: Simplify (/ 1 1) into 1
3.569 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.569 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.569 * [taylor]: Taking taylor expansion of re in im
3.569 * [backup-simplify]: Simplify re into re
3.569 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.569 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.570 * [backup-simplify]: Simplify (+ 1 0) into 1
3.570 * [backup-simplify]: Simplify (sqrt 1) into 1
3.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.572 * [backup-simplify]: Simplify (+ 0 0) into 0
3.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.573 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.573 * [taylor]: Taking taylor expansion of re in im
3.573 * [backup-simplify]: Simplify re into re
3.573 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.573 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.573 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.573 * [taylor]: Taking taylor expansion of im in re
3.573 * [backup-simplify]: Simplify im into im
3.573 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.574 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.574 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.574 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.574 * [taylor]: Taking taylor expansion of re in re
3.574 * [backup-simplify]: Simplify 0 into 0
3.574 * [backup-simplify]: Simplify 1 into 1
3.574 * [backup-simplify]: Simplify (* 1 1) into 1
3.575 * [backup-simplify]: Simplify (/ 1 1) into 1
3.575 * [backup-simplify]: Simplify (+ 0 1) into 1
3.575 * [backup-simplify]: Simplify (sqrt 1) into 1
3.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.577 * [backup-simplify]: Simplify (+ 0 0) into 0
3.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.578 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.578 * [taylor]: Taking taylor expansion of re in re
3.578 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify 1 into 1
3.578 * [backup-simplify]: Simplify (/ 1 1) into 1
3.578 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.578 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.578 * [taylor]: Taking taylor expansion of im in re
3.579 * [backup-simplify]: Simplify im into im
3.579 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.579 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.579 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.579 * [taylor]: Taking taylor expansion of re in re
3.579 * [backup-simplify]: Simplify 0 into 0
3.579 * [backup-simplify]: Simplify 1 into 1
3.579 * [backup-simplify]: Simplify (* 1 1) into 1
3.580 * [backup-simplify]: Simplify (/ 1 1) into 1
3.580 * [backup-simplify]: Simplify (+ 0 1) into 1
3.581 * [backup-simplify]: Simplify (sqrt 1) into 1
3.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.582 * [backup-simplify]: Simplify (+ 0 0) into 0
3.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.583 * [taylor]: Taking taylor expansion of re in re
3.583 * [backup-simplify]: Simplify 0 into 0
3.583 * [backup-simplify]: Simplify 1 into 1
3.584 * [backup-simplify]: Simplify (/ 1 1) into 1
3.584 * [backup-simplify]: Simplify (- 1) into -1
3.585 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.585 * [taylor]: Taking taylor expansion of 0 in im
3.585 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.586 * [backup-simplify]: Simplify (- 0) into 0
3.586 * [backup-simplify]: Simplify (+ 0 0) into 0
3.586 * [taylor]: Taking taylor expansion of 0 in im
3.586 * [backup-simplify]: Simplify 0 into 0
3.586 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.588 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.590 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.591 * [backup-simplify]: Simplify (- 0) into 0
3.591 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.591 * [taylor]: Taking taylor expansion of 1/2 in im
3.591 * [backup-simplify]: Simplify 1/2 into 1/2
3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.591 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.591 * [taylor]: Taking taylor expansion of im in im
3.591 * [backup-simplify]: Simplify 0 into 0
3.591 * [backup-simplify]: Simplify 1 into 1
3.592 * [backup-simplify]: Simplify (* 1 1) into 1
3.592 * [backup-simplify]: Simplify (/ 1 1) into 1
3.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (+ 0 0) into 0
3.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.599 * [backup-simplify]: Simplify (- 0) into 0
3.599 * [backup-simplify]: Simplify (+ 0 0) into 0
3.599 * [taylor]: Taking taylor expansion of 0 in im
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
3.603 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
3.603 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.603 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.603 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.603 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.603 * [taylor]: Taking taylor expansion of re in im
3.603 * [backup-simplify]: Simplify re into re
3.603 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.603 * [taylor]: Taking taylor expansion of im in im
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 1 into 1
3.603 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.604 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.604 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.604 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.604 * [backup-simplify]: Simplify (+ 0 0) into 0
3.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.604 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.605 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.605 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.605 * [taylor]: Taking taylor expansion of re in re
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify 1 into 1
3.605 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.605 * [taylor]: Taking taylor expansion of im in re
3.605 * [backup-simplify]: Simplify im into im
3.605 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.605 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.605 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.605 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.606 * [backup-simplify]: Simplify (+ 0 0) into 0
3.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.606 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.606 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.606 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.606 * [taylor]: Taking taylor expansion of re in re
3.606 * [backup-simplify]: Simplify 0 into 0
3.606 * [backup-simplify]: Simplify 1 into 1
3.606 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.606 * [taylor]: Taking taylor expansion of im in re
3.606 * [backup-simplify]: Simplify im into im
3.606 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.606 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.606 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.606 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.607 * [backup-simplify]: Simplify (+ 0 0) into 0
3.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.607 * [taylor]: Taking taylor expansion of im in im
3.607 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify 1 into 1
3.607 * [backup-simplify]: Simplify 0 into 0
3.607 * [taylor]: Taking taylor expansion of 0 in im
3.607 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify 1 into 1
3.608 * [backup-simplify]: Simplify (* 1 1) into 1
3.608 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.609 * [backup-simplify]: Simplify (+ 1 0) into 1
3.609 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.610 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.610 * [taylor]: Taking taylor expansion of 1/2 in im
3.610 * [backup-simplify]: Simplify 1/2 into 1/2
3.610 * [taylor]: Taking taylor expansion of im in im
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 1 into 1
3.610 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [backup-simplify]: Simplify 0 into 0
3.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.612 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.613 * [backup-simplify]: Simplify (+ 0 0) into 0
3.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.613 * [taylor]: Taking taylor expansion of 0 in im
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [backup-simplify]: Simplify 0 into 0
3.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.614 * [backup-simplify]: Simplify 0 into 0
3.614 * [backup-simplify]: Simplify 0 into 0
3.614 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.615 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.615 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.615 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.615 * [taylor]: Taking taylor expansion of im in im
3.615 * [backup-simplify]: Simplify 0 into 0
3.615 * [backup-simplify]: Simplify 1 into 1
3.616 * [backup-simplify]: Simplify (* 1 1) into 1
3.616 * [backup-simplify]: Simplify (/ 1 1) into 1
3.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.616 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.616 * [taylor]: Taking taylor expansion of re in im
3.616 * [backup-simplify]: Simplify re into re
3.616 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.616 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.616 * [backup-simplify]: Simplify (+ 1 0) into 1
3.617 * [backup-simplify]: Simplify (sqrt 1) into 1
3.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.618 * [backup-simplify]: Simplify (+ 0 0) into 0
3.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.618 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.618 * [taylor]: Taking taylor expansion of im in re
3.618 * [backup-simplify]: Simplify im into im
3.618 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.618 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.618 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.618 * [taylor]: Taking taylor expansion of re in re
3.619 * [backup-simplify]: Simplify 0 into 0
3.619 * [backup-simplify]: Simplify 1 into 1
3.619 * [backup-simplify]: Simplify (* 1 1) into 1
3.619 * [backup-simplify]: Simplify (/ 1 1) into 1
3.619 * [backup-simplify]: Simplify (+ 0 1) into 1
3.619 * [backup-simplify]: Simplify (sqrt 1) into 1
3.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.620 * [backup-simplify]: Simplify (+ 0 0) into 0
3.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.621 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.621 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.621 * [taylor]: Taking taylor expansion of im in re
3.621 * [backup-simplify]: Simplify im into im
3.621 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.621 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.621 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.622 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.622 * [taylor]: Taking taylor expansion of re in re
3.622 * [backup-simplify]: Simplify 0 into 0
3.622 * [backup-simplify]: Simplify 1 into 1
3.622 * [backup-simplify]: Simplify (* 1 1) into 1
3.622 * [backup-simplify]: Simplify (/ 1 1) into 1
3.622 * [backup-simplify]: Simplify (+ 0 1) into 1
3.623 * [backup-simplify]: Simplify (sqrt 1) into 1
3.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.624 * [backup-simplify]: Simplify (+ 0 0) into 0
3.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.624 * [taylor]: Taking taylor expansion of 1 in im
3.624 * [backup-simplify]: Simplify 1 into 1
3.624 * [taylor]: Taking taylor expansion of 0 in im
3.624 * [backup-simplify]: Simplify 0 into 0
3.624 * [backup-simplify]: Simplify 1 into 1
3.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.625 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.626 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.626 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.626 * [taylor]: Taking taylor expansion of 1/2 in im
3.626 * [backup-simplify]: Simplify 1/2 into 1/2
3.626 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.626 * [taylor]: Taking taylor expansion of im in im
3.626 * [backup-simplify]: Simplify 0 into 0
3.626 * [backup-simplify]: Simplify 1 into 1
3.627 * [backup-simplify]: Simplify (* 1 1) into 1
3.627 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.628 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.629 * [backup-simplify]: Simplify (+ 0 0) into 0
3.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.630 * [taylor]: Taking taylor expansion of 0 in im
3.630 * [backup-simplify]: Simplify 0 into 0
3.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.632 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.632 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.632 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.632 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.632 * [taylor]: Taking taylor expansion of im in im
3.632 * [backup-simplify]: Simplify 0 into 0
3.632 * [backup-simplify]: Simplify 1 into 1
3.632 * [backup-simplify]: Simplify (* 1 1) into 1
3.632 * [backup-simplify]: Simplify (/ 1 1) into 1
3.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.632 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.632 * [taylor]: Taking taylor expansion of re in im
3.632 * [backup-simplify]: Simplify re into re
3.632 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.632 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.633 * [backup-simplify]: Simplify (+ 1 0) into 1
3.633 * [backup-simplify]: Simplify (sqrt 1) into 1
3.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.637 * [backup-simplify]: Simplify (+ 0 0) into 0
3.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.637 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.637 * [taylor]: Taking taylor expansion of im in re
3.637 * [backup-simplify]: Simplify im into im
3.637 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.638 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.638 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.638 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.638 * [taylor]: Taking taylor expansion of re in re
3.638 * [backup-simplify]: Simplify 0 into 0
3.638 * [backup-simplify]: Simplify 1 into 1
3.638 * [backup-simplify]: Simplify (* 1 1) into 1
3.638 * [backup-simplify]: Simplify (/ 1 1) into 1
3.638 * [backup-simplify]: Simplify (+ 0 1) into 1
3.639 * [backup-simplify]: Simplify (sqrt 1) into 1
3.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.640 * [backup-simplify]: Simplify (+ 0 0) into 0
3.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.640 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.640 * [taylor]: Taking taylor expansion of im in re
3.640 * [backup-simplify]: Simplify im into im
3.640 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.640 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.640 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.640 * [taylor]: Taking taylor expansion of re in re
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 1 into 1
3.641 * [backup-simplify]: Simplify (* 1 1) into 1
3.641 * [backup-simplify]: Simplify (/ 1 1) into 1
3.641 * [backup-simplify]: Simplify (+ 0 1) into 1
3.641 * [backup-simplify]: Simplify (sqrt 1) into 1
3.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.642 * [backup-simplify]: Simplify (+ 0 0) into 0
3.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.643 * [taylor]: Taking taylor expansion of 1 in im
3.643 * [backup-simplify]: Simplify 1 into 1
3.643 * [taylor]: Taking taylor expansion of 0 in im
3.643 * [backup-simplify]: Simplify 0 into 0
3.643 * [backup-simplify]: Simplify 1 into 1
3.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.644 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.645 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.645 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.645 * [taylor]: Taking taylor expansion of 1/2 in im
3.645 * [backup-simplify]: Simplify 1/2 into 1/2
3.645 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.645 * [taylor]: Taking taylor expansion of im in im
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 1 into 1
3.645 * [backup-simplify]: Simplify (* 1 1) into 1
3.645 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.648 * [backup-simplify]: Simplify (+ 0 0) into 0
3.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.648 * [taylor]: Taking taylor expansion of 0 in im
3.648 * [backup-simplify]: Simplify 0 into 0
3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.649 * [backup-simplify]: Simplify 0 into 0
3.649 * [backup-simplify]: Simplify 0 into 0
3.649 * [backup-simplify]: Simplify 0 into 0
3.650 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.650 * * * [progress]: simplifying candidates
3.652 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
3.659 * * [simplify]: Extracting # 0 : cost  0
3.659 * * [simplify]: Extracting # 1 : cost  0
3.660 * * [simplify]: Extracting # 2 : cost  0
3.660 * * [simplify]: Extracting # 3 : cost  0
3.660 * * [simplify]: Extracting # 4 : cost  0
3.661 * * [simplify]: Extracting # 5 : cost  0
3.661 * * [simplify]: Extracting # 6 : cost  0
3.661 * * [simplify]: Extracting # 7 : cost  0
3.662 * * [simplify]: iteration  0 :  133  enodes  (cost  3041 )
3.723 * * [simplify]: Extracting # 0 : cost  0
3.723 * * [simplify]: Extracting # 1 : cost  0
3.723 * * [simplify]: Extracting # 2 : cost  0
3.724 * * [simplify]: Extracting # 3 : cost  0
3.724 * * [simplify]: Extracting # 4 : cost  0
3.724 * * [simplify]: Extracting # 5 : cost  0
3.724 * * [simplify]: iteration  1 :  264  enodes  (cost  1733 )
3.833 * * [simplify]: Extracting # 0 : cost  0
3.834 * * [simplify]: Extracting # 1 : cost  0
3.835 * * [simplify]: Extracting # 2 : cost  0
3.836 * * [simplify]: Extracting # 3 : cost  0
3.838 * * [simplify]: Extracting # 4 : cost  0
3.839 * * [simplify]: Extracting # 5 : cost  0
3.840 * * [simplify]: iteration  2 :  706  enodes  (cost  1579 )
4.419 * * [simplify]: Extracting # 0 : cost  0
4.421 * * [simplify]: Extracting # 1 : cost  0
4.423 * * [simplify]: Extracting # 2 : cost  0
4.425 * * [simplify]: Extracting # 3 : cost  0
4.427 * * [simplify]: Extracting # 4 : cost  0
4.429 * * [simplify]: Extracting # 5 : cost  0
4.431 * * [simplify]: iteration  3 :  2108  enodes  (cost  1520 )
5.921 * * [simplify]: Extracting # 0 : cost  0
5.927 * * [simplify]: Extracting # 1 : cost  0
5.934 * * [simplify]: Extracting # 2 : cost  0
5.945 * * [simplify]: Extracting # 3 : cost  0
5.960 * * [simplify]: Extracting # 4 : cost  0
5.971 * * [simplify]: Extracting # 5 : cost  0
5.979 * * [simplify]: iteration done:  5001  enodes  (cost  1479 )
5.980 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (pow (+ re (sqrt (+ (* re re) (* im im)))) 3)
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* re re) (* im im))
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (+ (* re re) (* im im))) 4)
  (+ (* re re) (* im im))
  (pow (sqrt (+ (* re re) (* im im))) 4)
  2
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (+ (* re re) (* im im))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  2
  1/2
  1
  1/2
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 5)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4)))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  im
  re
  (- re)
5.981 * * * [progress]: adding candidates to table
6.427 * * [progress]: iteration 3 / 4
6.427 * * * [progress]: picking best candidate
6.476 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
6.476 * * * [progress]: localizing error
6.519 * * * [progress]: generating rewritten candidates
6.519 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
6.536 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
6.553 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
6.620 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
6.637 * * * [progress]: generating series expansions
6.637 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1)
6.637 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.637 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.638 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.638 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.638 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.638 * [taylor]: Taking taylor expansion of re in im
6.638 * [backup-simplify]: Simplify re into re
6.638 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.638 * [taylor]: Taking taylor expansion of im in im
6.638 * [backup-simplify]: Simplify 0 into 0
6.638 * [backup-simplify]: Simplify 1 into 1
6.638 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.638 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.638 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.638 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.638 * [backup-simplify]: Simplify (+ 0 0) into 0
6.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.639 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.639 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.639 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.639 * [taylor]: Taking taylor expansion of re in re
6.639 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify 1 into 1
6.639 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.639 * [taylor]: Taking taylor expansion of im in re
6.639 * [backup-simplify]: Simplify im into im
6.639 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.639 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.639 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.639 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.639 * [backup-simplify]: Simplify (+ 0 0) into 0
6.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.639 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.639 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.639 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.639 * [taylor]: Taking taylor expansion of re in re
6.639 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify 1 into 1
6.640 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.640 * [taylor]: Taking taylor expansion of im in re
6.640 * [backup-simplify]: Simplify im into im
6.640 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.640 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.640 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.640 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.640 * [backup-simplify]: Simplify (+ 0 0) into 0
6.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.640 * [taylor]: Taking taylor expansion of im in im
6.640 * [backup-simplify]: Simplify 0 into 0
6.640 * [backup-simplify]: Simplify 1 into 1
6.640 * [backup-simplify]: Simplify 0 into 0
6.640 * [taylor]: Taking taylor expansion of 0 in im
6.640 * [backup-simplify]: Simplify 0 into 0
6.640 * [backup-simplify]: Simplify 0 into 0
6.640 * [backup-simplify]: Simplify 1 into 1
6.641 * [backup-simplify]: Simplify (* 1 1) into 1
6.641 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.641 * [backup-simplify]: Simplify (+ 1 0) into 1
6.642 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.642 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.642 * [taylor]: Taking taylor expansion of 1/2 in im
6.642 * [backup-simplify]: Simplify 1/2 into 1/2
6.642 * [taylor]: Taking taylor expansion of im in im
6.642 * [backup-simplify]: Simplify 0 into 0
6.642 * [backup-simplify]: Simplify 1 into 1
6.642 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.643 * [backup-simplify]: Simplify 0 into 0
6.643 * [backup-simplify]: Simplify 0 into 0
6.643 * [backup-simplify]: Simplify 0 into 0
6.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.644 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.644 * [backup-simplify]: Simplify (+ 0 0) into 0
6.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.644 * [taylor]: Taking taylor expansion of 0 in im
6.644 * [backup-simplify]: Simplify 0 into 0
6.644 * [backup-simplify]: Simplify 0 into 0
6.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.644 * [backup-simplify]: Simplify 0 into 0
6.645 * [backup-simplify]: Simplify 0 into 0
6.645 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.645 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.645 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.645 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.645 * [taylor]: Taking taylor expansion of im in im
6.645 * [backup-simplify]: Simplify 0 into 0
6.645 * [backup-simplify]: Simplify 1 into 1
6.645 * [backup-simplify]: Simplify (* 1 1) into 1
6.645 * [backup-simplify]: Simplify (/ 1 1) into 1
6.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.645 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.645 * [taylor]: Taking taylor expansion of re in im
6.645 * [backup-simplify]: Simplify re into re
6.646 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.646 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.646 * [backup-simplify]: Simplify (+ 1 0) into 1
6.646 * [backup-simplify]: Simplify (sqrt 1) into 1
6.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.647 * [backup-simplify]: Simplify (+ 0 0) into 0
6.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.648 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.648 * [taylor]: Taking taylor expansion of im in re
6.648 * [backup-simplify]: Simplify im into im
6.648 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.648 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.649 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.649 * [taylor]: Taking taylor expansion of re in re
6.649 * [backup-simplify]: Simplify 0 into 0
6.649 * [backup-simplify]: Simplify 1 into 1
6.649 * [backup-simplify]: Simplify (* 1 1) into 1
6.649 * [backup-simplify]: Simplify (/ 1 1) into 1
6.650 * [backup-simplify]: Simplify (+ 0 1) into 1
6.650 * [backup-simplify]: Simplify (sqrt 1) into 1
6.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.652 * [backup-simplify]: Simplify (+ 0 0) into 0
6.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.653 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.653 * [taylor]: Taking taylor expansion of im in re
6.653 * [backup-simplify]: Simplify im into im
6.653 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.654 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.654 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.654 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.654 * [taylor]: Taking taylor expansion of re in re
6.654 * [backup-simplify]: Simplify 0 into 0
6.654 * [backup-simplify]: Simplify 1 into 1
6.654 * [backup-simplify]: Simplify (* 1 1) into 1
6.655 * [backup-simplify]: Simplify (/ 1 1) into 1
6.655 * [backup-simplify]: Simplify (+ 0 1) into 1
6.655 * [backup-simplify]: Simplify (sqrt 1) into 1
6.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.657 * [backup-simplify]: Simplify (+ 0 0) into 0
6.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.658 * [taylor]: Taking taylor expansion of 1 in im
6.658 * [backup-simplify]: Simplify 1 into 1
6.658 * [taylor]: Taking taylor expansion of 0 in im
6.658 * [backup-simplify]: Simplify 0 into 0
6.658 * [backup-simplify]: Simplify 1 into 1
6.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.660 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.662 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.662 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.662 * [taylor]: Taking taylor expansion of 1/2 in im
6.662 * [backup-simplify]: Simplify 1/2 into 1/2
6.662 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.662 * [taylor]: Taking taylor expansion of im in im
6.662 * [backup-simplify]: Simplify 0 into 0
6.662 * [backup-simplify]: Simplify 1 into 1
6.663 * [backup-simplify]: Simplify (* 1 1) into 1
6.663 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.665 * [backup-simplify]: Simplify 0 into 0
6.665 * [backup-simplify]: Simplify 0 into 0
6.665 * [backup-simplify]: Simplify 0 into 0
6.665 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.667 * [backup-simplify]: Simplify (+ 0 0) into 0
6.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.668 * [taylor]: Taking taylor expansion of 0 in im
6.668 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.671 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.671 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.671 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.671 * [taylor]: Taking taylor expansion of im in im
6.671 * [backup-simplify]: Simplify 0 into 0
6.671 * [backup-simplify]: Simplify 1 into 1
6.671 * [backup-simplify]: Simplify (* 1 1) into 1
6.672 * [backup-simplify]: Simplify (/ 1 1) into 1
6.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.672 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.672 * [taylor]: Taking taylor expansion of re in im
6.672 * [backup-simplify]: Simplify re into re
6.672 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.672 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.673 * [backup-simplify]: Simplify (+ 1 0) into 1
6.673 * [backup-simplify]: Simplify (sqrt 1) into 1
6.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.675 * [backup-simplify]: Simplify (+ 0 0) into 0
6.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.676 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.676 * [taylor]: Taking taylor expansion of im in re
6.676 * [backup-simplify]: Simplify im into im
6.676 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.676 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.676 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.676 * [taylor]: Taking taylor expansion of re in re
6.676 * [backup-simplify]: Simplify 0 into 0
6.676 * [backup-simplify]: Simplify 1 into 1
6.677 * [backup-simplify]: Simplify (* 1 1) into 1
6.677 * [backup-simplify]: Simplify (/ 1 1) into 1
6.677 * [backup-simplify]: Simplify (+ 0 1) into 1
6.678 * [backup-simplify]: Simplify (sqrt 1) into 1
6.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.680 * [backup-simplify]: Simplify (+ 0 0) into 0
6.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.680 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.680 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.681 * [taylor]: Taking taylor expansion of im in re
6.681 * [backup-simplify]: Simplify im into im
6.681 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.681 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.681 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.681 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.681 * [taylor]: Taking taylor expansion of re in re
6.681 * [backup-simplify]: Simplify 0 into 0
6.681 * [backup-simplify]: Simplify 1 into 1
6.681 * [backup-simplify]: Simplify (* 1 1) into 1
6.682 * [backup-simplify]: Simplify (/ 1 1) into 1
6.682 * [backup-simplify]: Simplify (+ 0 1) into 1
6.683 * [backup-simplify]: Simplify (sqrt 1) into 1
6.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.684 * [backup-simplify]: Simplify (+ 0 0) into 0
6.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.685 * [taylor]: Taking taylor expansion of 1 in im
6.685 * [backup-simplify]: Simplify 1 into 1
6.685 * [taylor]: Taking taylor expansion of 0 in im
6.685 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify 1 into 1
6.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.687 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.689 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.689 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.689 * [taylor]: Taking taylor expansion of 1/2 in im
6.689 * [backup-simplify]: Simplify 1/2 into 1/2
6.689 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.689 * [taylor]: Taking taylor expansion of im in im
6.689 * [backup-simplify]: Simplify 0 into 0
6.689 * [backup-simplify]: Simplify 1 into 1
6.689 * [backup-simplify]: Simplify (* 1 1) into 1
6.690 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 0 into 0
6.692 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.695 * [backup-simplify]: Simplify (+ 0 0) into 0
6.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.695 * [taylor]: Taking taylor expansion of 0 in im
6.695 * [backup-simplify]: Simplify 0 into 0
6.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.703 * [backup-simplify]: Simplify 0 into 0
6.703 * [backup-simplify]: Simplify 0 into 0
6.703 * [backup-simplify]: Simplify 0 into 0
6.703 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.704 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
6.704 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.704 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.704 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.704 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.704 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.704 * [taylor]: Taking taylor expansion of re in im
6.704 * [backup-simplify]: Simplify re into re
6.704 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.704 * [taylor]: Taking taylor expansion of im in im
6.704 * [backup-simplify]: Simplify 0 into 0
6.704 * [backup-simplify]: Simplify 1 into 1
6.704 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.704 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.704 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.705 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.705 * [backup-simplify]: Simplify (+ 0 0) into 0
6.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.705 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.705 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.705 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.705 * [taylor]: Taking taylor expansion of re in re
6.705 * [backup-simplify]: Simplify 0 into 0
6.705 * [backup-simplify]: Simplify 1 into 1
6.706 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.706 * [taylor]: Taking taylor expansion of im in re
6.706 * [backup-simplify]: Simplify im into im
6.706 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.706 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.706 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.706 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.706 * [backup-simplify]: Simplify (+ 0 0) into 0
6.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.707 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.707 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.707 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.707 * [taylor]: Taking taylor expansion of re in re
6.707 * [backup-simplify]: Simplify 0 into 0
6.707 * [backup-simplify]: Simplify 1 into 1
6.707 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.707 * [taylor]: Taking taylor expansion of im in re
6.707 * [backup-simplify]: Simplify im into im
6.707 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.707 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.707 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.707 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.708 * [backup-simplify]: Simplify (+ 0 0) into 0
6.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.708 * [taylor]: Taking taylor expansion of im in im
6.708 * [backup-simplify]: Simplify 0 into 0
6.708 * [backup-simplify]: Simplify 1 into 1
6.708 * [backup-simplify]: Simplify 0 into 0
6.708 * [taylor]: Taking taylor expansion of 0 in im
6.708 * [backup-simplify]: Simplify 0 into 0
6.708 * [backup-simplify]: Simplify 0 into 0
6.708 * [backup-simplify]: Simplify 1 into 1
6.709 * [backup-simplify]: Simplify (* 1 1) into 1
6.709 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.709 * [backup-simplify]: Simplify (+ 1 0) into 1
6.710 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.710 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.710 * [taylor]: Taking taylor expansion of 1/2 in im
6.710 * [backup-simplify]: Simplify 1/2 into 1/2
6.710 * [taylor]: Taking taylor expansion of im in im
6.710 * [backup-simplify]: Simplify 0 into 0
6.710 * [backup-simplify]: Simplify 1 into 1
6.711 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.712 * [backup-simplify]: Simplify 0 into 0
6.712 * [backup-simplify]: Simplify 0 into 0
6.712 * [backup-simplify]: Simplify 0 into 0
6.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.713 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.714 * [backup-simplify]: Simplify (+ 0 0) into 0
6.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.714 * [taylor]: Taking taylor expansion of 0 in im
6.714 * [backup-simplify]: Simplify 0 into 0
6.714 * [backup-simplify]: Simplify 0 into 0
6.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.715 * [backup-simplify]: Simplify 0 into 0
6.715 * [backup-simplify]: Simplify 0 into 0
6.715 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.716 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.716 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.716 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.716 * [taylor]: Taking taylor expansion of im in im
6.716 * [backup-simplify]: Simplify 0 into 0
6.716 * [backup-simplify]: Simplify 1 into 1
6.716 * [backup-simplify]: Simplify (* 1 1) into 1
6.717 * [backup-simplify]: Simplify (/ 1 1) into 1
6.717 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.717 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.717 * [taylor]: Taking taylor expansion of re in im
6.717 * [backup-simplify]: Simplify re into re
6.717 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.717 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.717 * [backup-simplify]: Simplify (+ 1 0) into 1
6.718 * [backup-simplify]: Simplify (sqrt 1) into 1
6.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.719 * [backup-simplify]: Simplify (+ 0 0) into 0
6.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.720 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.720 * [taylor]: Taking taylor expansion of im in re
6.720 * [backup-simplify]: Simplify im into im
6.720 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.721 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.721 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.721 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.721 * [taylor]: Taking taylor expansion of re in re
6.721 * [backup-simplify]: Simplify 0 into 0
6.721 * [backup-simplify]: Simplify 1 into 1
6.721 * [backup-simplify]: Simplify (* 1 1) into 1
6.722 * [backup-simplify]: Simplify (/ 1 1) into 1
6.722 * [backup-simplify]: Simplify (+ 0 1) into 1
6.722 * [backup-simplify]: Simplify (sqrt 1) into 1
6.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.725 * [backup-simplify]: Simplify (+ 0 0) into 0
6.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.725 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.725 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.725 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.725 * [taylor]: Taking taylor expansion of im in re
6.725 * [backup-simplify]: Simplify im into im
6.726 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.726 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.726 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.726 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.726 * [taylor]: Taking taylor expansion of re in re
6.726 * [backup-simplify]: Simplify 0 into 0
6.726 * [backup-simplify]: Simplify 1 into 1
6.726 * [backup-simplify]: Simplify (* 1 1) into 1
6.727 * [backup-simplify]: Simplify (/ 1 1) into 1
6.727 * [backup-simplify]: Simplify (+ 0 1) into 1
6.728 * [backup-simplify]: Simplify (sqrt 1) into 1
6.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.729 * [backup-simplify]: Simplify (+ 0 0) into 0
6.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.730 * [taylor]: Taking taylor expansion of 1 in im
6.730 * [backup-simplify]: Simplify 1 into 1
6.730 * [taylor]: Taking taylor expansion of 0 in im
6.730 * [backup-simplify]: Simplify 0 into 0
6.730 * [backup-simplify]: Simplify 1 into 1
6.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.732 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.734 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.734 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.734 * [taylor]: Taking taylor expansion of 1/2 in im
6.734 * [backup-simplify]: Simplify 1/2 into 1/2
6.734 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.734 * [taylor]: Taking taylor expansion of im in im
6.734 * [backup-simplify]: Simplify 0 into 0
6.734 * [backup-simplify]: Simplify 1 into 1
6.734 * [backup-simplify]: Simplify (* 1 1) into 1
6.735 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.736 * [backup-simplify]: Simplify 0 into 0
6.736 * [backup-simplify]: Simplify 0 into 0
6.736 * [backup-simplify]: Simplify 0 into 0
6.737 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.739 * [backup-simplify]: Simplify (+ 0 0) into 0
6.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.740 * [taylor]: Taking taylor expansion of 0 in im
6.740 * [backup-simplify]: Simplify 0 into 0
6.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.742 * [backup-simplify]: Simplify 0 into 0
6.742 * [backup-simplify]: Simplify 0 into 0
6.742 * [backup-simplify]: Simplify 0 into 0
6.742 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.743 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.743 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.743 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.743 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.743 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.743 * [taylor]: Taking taylor expansion of im in im
6.743 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify 1 into 1
6.743 * [backup-simplify]: Simplify (* 1 1) into 1
6.744 * [backup-simplify]: Simplify (/ 1 1) into 1
6.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.744 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.744 * [taylor]: Taking taylor expansion of re in im
6.744 * [backup-simplify]: Simplify re into re
6.744 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.744 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.745 * [backup-simplify]: Simplify (+ 1 0) into 1
6.745 * [backup-simplify]: Simplify (sqrt 1) into 1
6.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.747 * [backup-simplify]: Simplify (+ 0 0) into 0
6.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.748 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.748 * [taylor]: Taking taylor expansion of im in re
6.748 * [backup-simplify]: Simplify im into im
6.748 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.748 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.748 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.748 * [taylor]: Taking taylor expansion of re in re
6.748 * [backup-simplify]: Simplify 0 into 0
6.748 * [backup-simplify]: Simplify 1 into 1
6.749 * [backup-simplify]: Simplify (* 1 1) into 1
6.749 * [backup-simplify]: Simplify (/ 1 1) into 1
6.750 * [backup-simplify]: Simplify (+ 0 1) into 1
6.750 * [backup-simplify]: Simplify (sqrt 1) into 1
6.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.752 * [backup-simplify]: Simplify (+ 0 0) into 0
6.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.753 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.753 * [taylor]: Taking taylor expansion of im in re
6.753 * [backup-simplify]: Simplify im into im
6.753 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.753 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.753 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.753 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.753 * [taylor]: Taking taylor expansion of re in re
6.753 * [backup-simplify]: Simplify 0 into 0
6.753 * [backup-simplify]: Simplify 1 into 1
6.754 * [backup-simplify]: Simplify (* 1 1) into 1
6.754 * [backup-simplify]: Simplify (/ 1 1) into 1
6.754 * [backup-simplify]: Simplify (+ 0 1) into 1
6.755 * [backup-simplify]: Simplify (sqrt 1) into 1
6.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.757 * [backup-simplify]: Simplify (+ 0 0) into 0
6.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.757 * [taylor]: Taking taylor expansion of 1 in im
6.758 * [backup-simplify]: Simplify 1 into 1
6.758 * [taylor]: Taking taylor expansion of 0 in im
6.758 * [backup-simplify]: Simplify 0 into 0
6.758 * [backup-simplify]: Simplify 1 into 1
6.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.760 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.761 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.761 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.761 * [taylor]: Taking taylor expansion of 1/2 in im
6.761 * [backup-simplify]: Simplify 1/2 into 1/2
6.761 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.761 * [taylor]: Taking taylor expansion of im in im
6.761 * [backup-simplify]: Simplify 0 into 0
6.761 * [backup-simplify]: Simplify 1 into 1
6.762 * [backup-simplify]: Simplify (* 1 1) into 1
6.762 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.764 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.767 * [backup-simplify]: Simplify (+ 0 0) into 0
6.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.768 * [taylor]: Taking taylor expansion of 0 in im
6.768 * [backup-simplify]: Simplify 0 into 0
6.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.770 * [backup-simplify]: Simplify 0 into 0
6.770 * [backup-simplify]: Simplify 0 into 0
6.770 * [backup-simplify]: Simplify 0 into 0
6.770 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.770 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
6.771 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
6.771 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
6.771 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
6.771 * [taylor]: Taking taylor expansion of re in im
6.771 * [backup-simplify]: Simplify re into re
6.771 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.771 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.771 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.771 * [taylor]: Taking taylor expansion of re in im
6.771 * [backup-simplify]: Simplify re into re
6.771 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.771 * [taylor]: Taking taylor expansion of im in im
6.771 * [backup-simplify]: Simplify 0 into 0
6.771 * [backup-simplify]: Simplify 1 into 1
6.771 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.772 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.772 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.772 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.772 * [backup-simplify]: Simplify (+ 0 0) into 0
6.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.772 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.773 * [taylor]: Taking taylor expansion of re in re
6.773 * [backup-simplify]: Simplify 0 into 0
6.773 * [backup-simplify]: Simplify 1 into 1
6.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.773 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.773 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.773 * [taylor]: Taking taylor expansion of re in re
6.773 * [backup-simplify]: Simplify 0 into 0
6.773 * [backup-simplify]: Simplify 1 into 1
6.773 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.773 * [taylor]: Taking taylor expansion of im in re
6.773 * [backup-simplify]: Simplify im into im
6.773 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.773 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.773 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.773 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.774 * [backup-simplify]: Simplify (+ 0 0) into 0
6.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.774 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.774 * [taylor]: Taking taylor expansion of re in re
6.774 * [backup-simplify]: Simplify 0 into 0
6.774 * [backup-simplify]: Simplify 1 into 1
6.774 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.774 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.774 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.774 * [taylor]: Taking taylor expansion of re in re
6.774 * [backup-simplify]: Simplify 0 into 0
6.774 * [backup-simplify]: Simplify 1 into 1
6.774 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.774 * [taylor]: Taking taylor expansion of im in re
6.774 * [backup-simplify]: Simplify im into im
6.774 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.775 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.775 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.775 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.775 * [backup-simplify]: Simplify (+ 0 0) into 0
6.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.776 * [backup-simplify]: Simplify (+ 0 im) into im
6.776 * [taylor]: Taking taylor expansion of im in im
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify 1 into 1
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify (+ 1 0) into 1
6.776 * [taylor]: Taking taylor expansion of 1 in im
6.776 * [backup-simplify]: Simplify 1 into 1
6.776 * [backup-simplify]: Simplify 1 into 1
6.776 * [backup-simplify]: Simplify 1 into 1
6.777 * [backup-simplify]: Simplify (* 1 1) into 1
6.777 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.778 * [backup-simplify]: Simplify (+ 1 0) into 1
6.778 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.778 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.779 * [taylor]: Taking taylor expansion of 1/2 in im
6.779 * [backup-simplify]: Simplify 1/2 into 1/2
6.779 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.779 * [taylor]: Taking taylor expansion of im in im
6.779 * [backup-simplify]: Simplify 0 into 0
6.779 * [backup-simplify]: Simplify 1 into 1
6.779 * [backup-simplify]: Simplify (/ 1 1) into 1
6.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.781 * [backup-simplify]: Simplify 0 into 0
6.781 * [backup-simplify]: Simplify 0 into 0
6.781 * [backup-simplify]: Simplify 0 into 0
6.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.782 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.782 * [backup-simplify]: Simplify (+ 0 0) into 0
6.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.783 * [backup-simplify]: Simplify (+ 0 0) into 0
6.783 * [taylor]: Taking taylor expansion of 0 in im
6.783 * [backup-simplify]: Simplify 0 into 0
6.783 * [backup-simplify]: Simplify 0 into 0
6.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.785 * [backup-simplify]: Simplify 0 into 0
6.785 * [backup-simplify]: Simplify 0 into 0
6.786 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
6.787 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
6.787 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
6.787 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.787 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.787 * [taylor]: Taking taylor expansion of re in im
6.787 * [backup-simplify]: Simplify re into re
6.787 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.787 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.787 * [taylor]: Taking taylor expansion of im in im
6.787 * [backup-simplify]: Simplify 0 into 0
6.787 * [backup-simplify]: Simplify 1 into 1
6.788 * [backup-simplify]: Simplify (* 1 1) into 1
6.788 * [backup-simplify]: Simplify (/ 1 1) into 1
6.788 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.788 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.788 * [taylor]: Taking taylor expansion of re in im
6.788 * [backup-simplify]: Simplify re into re
6.788 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.788 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.789 * [backup-simplify]: Simplify (+ 1 0) into 1
6.789 * [backup-simplify]: Simplify (sqrt 1) into 1
6.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.791 * [backup-simplify]: Simplify (+ 0 0) into 0
6.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.792 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.792 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.792 * [taylor]: Taking taylor expansion of re in re
6.792 * [backup-simplify]: Simplify 0 into 0
6.792 * [backup-simplify]: Simplify 1 into 1
6.792 * [backup-simplify]: Simplify (/ 1 1) into 1
6.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.793 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.793 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.793 * [taylor]: Taking taylor expansion of im in re
6.793 * [backup-simplify]: Simplify im into im
6.793 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.793 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.793 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.793 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.793 * [taylor]: Taking taylor expansion of re in re
6.793 * [backup-simplify]: Simplify 0 into 0
6.793 * [backup-simplify]: Simplify 1 into 1
6.793 * [backup-simplify]: Simplify (* 1 1) into 1
6.794 * [backup-simplify]: Simplify (/ 1 1) into 1
6.794 * [backup-simplify]: Simplify (+ 0 1) into 1
6.795 * [backup-simplify]: Simplify (sqrt 1) into 1
6.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.796 * [backup-simplify]: Simplify (+ 0 0) into 0
6.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.797 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.797 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.797 * [taylor]: Taking taylor expansion of re in re
6.797 * [backup-simplify]: Simplify 0 into 0
6.797 * [backup-simplify]: Simplify 1 into 1
6.798 * [backup-simplify]: Simplify (/ 1 1) into 1
6.798 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.798 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.798 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.798 * [taylor]: Taking taylor expansion of im in re
6.798 * [backup-simplify]: Simplify im into im
6.798 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.798 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.798 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.798 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.798 * [taylor]: Taking taylor expansion of re in re
6.798 * [backup-simplify]: Simplify 0 into 0
6.798 * [backup-simplify]: Simplify 1 into 1
6.799 * [backup-simplify]: Simplify (* 1 1) into 1
6.799 * [backup-simplify]: Simplify (/ 1 1) into 1
6.800 * [backup-simplify]: Simplify (+ 0 1) into 1
6.800 * [backup-simplify]: Simplify (sqrt 1) into 1
6.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.802 * [backup-simplify]: Simplify (+ 0 0) into 0
6.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.803 * [backup-simplify]: Simplify (+ 1 1) into 2
6.803 * [taylor]: Taking taylor expansion of 2 in im
6.803 * [backup-simplify]: Simplify 2 into 2
6.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.804 * [backup-simplify]: Simplify (+ 0 0) into 0
6.804 * [taylor]: Taking taylor expansion of 0 in im
6.804 * [backup-simplify]: Simplify 0 into 0
6.804 * [backup-simplify]: Simplify 2 into 2
6.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.807 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.809 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.809 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.809 * [taylor]: Taking taylor expansion of 1/2 in im
6.809 * [backup-simplify]: Simplify 1/2 into 1/2
6.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.809 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.809 * [taylor]: Taking taylor expansion of im in im
6.809 * [backup-simplify]: Simplify 0 into 0
6.809 * [backup-simplify]: Simplify 1 into 1
6.810 * [backup-simplify]: Simplify (* 1 1) into 1
6.810 * [backup-simplify]: Simplify (/ 1 1) into 1
6.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.812 * [backup-simplify]: Simplify 0 into 0
6.812 * [backup-simplify]: Simplify 0 into 0
6.812 * [backup-simplify]: Simplify 0 into 0
6.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.813 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.816 * [backup-simplify]: Simplify (+ 0 0) into 0
6.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.817 * [backup-simplify]: Simplify (+ 0 0) into 0
6.817 * [taylor]: Taking taylor expansion of 0 in im
6.817 * [backup-simplify]: Simplify 0 into 0
6.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.820 * [backup-simplify]: Simplify 0 into 0
6.820 * [backup-simplify]: Simplify 0 into 0
6.820 * [backup-simplify]: Simplify 0 into 0
6.820 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
6.822 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
6.822 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
6.822 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
6.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.822 * [taylor]: Taking taylor expansion of im in im
6.822 * [backup-simplify]: Simplify 0 into 0
6.822 * [backup-simplify]: Simplify 1 into 1
6.822 * [backup-simplify]: Simplify (* 1 1) into 1
6.823 * [backup-simplify]: Simplify (/ 1 1) into 1
6.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.823 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.823 * [taylor]: Taking taylor expansion of re in im
6.823 * [backup-simplify]: Simplify re into re
6.823 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.823 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.824 * [backup-simplify]: Simplify (+ 1 0) into 1
6.824 * [backup-simplify]: Simplify (sqrt 1) into 1
6.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.826 * [backup-simplify]: Simplify (+ 0 0) into 0
6.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.827 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.827 * [taylor]: Taking taylor expansion of re in im
6.827 * [backup-simplify]: Simplify re into re
6.827 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.827 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.827 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.827 * [taylor]: Taking taylor expansion of im in re
6.827 * [backup-simplify]: Simplify im into im
6.827 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.827 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.827 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.827 * [taylor]: Taking taylor expansion of re in re
6.828 * [backup-simplify]: Simplify 0 into 0
6.828 * [backup-simplify]: Simplify 1 into 1
6.828 * [backup-simplify]: Simplify (* 1 1) into 1
6.828 * [backup-simplify]: Simplify (/ 1 1) into 1
6.829 * [backup-simplify]: Simplify (+ 0 1) into 1
6.829 * [backup-simplify]: Simplify (sqrt 1) into 1
6.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.831 * [backup-simplify]: Simplify (+ 0 0) into 0
6.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.832 * [taylor]: Taking taylor expansion of re in re
6.832 * [backup-simplify]: Simplify 0 into 0
6.832 * [backup-simplify]: Simplify 1 into 1
6.832 * [backup-simplify]: Simplify (/ 1 1) into 1
6.832 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.832 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.832 * [taylor]: Taking taylor expansion of im in re
6.832 * [backup-simplify]: Simplify im into im
6.832 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.833 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.833 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.833 * [taylor]: Taking taylor expansion of re in re
6.833 * [backup-simplify]: Simplify 0 into 0
6.833 * [backup-simplify]: Simplify 1 into 1
6.833 * [backup-simplify]: Simplify (* 1 1) into 1
6.834 * [backup-simplify]: Simplify (/ 1 1) into 1
6.834 * [backup-simplify]: Simplify (+ 0 1) into 1
6.835 * [backup-simplify]: Simplify (sqrt 1) into 1
6.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.837 * [backup-simplify]: Simplify (+ 0 0) into 0
6.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.838 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.838 * [taylor]: Taking taylor expansion of re in re
6.838 * [backup-simplify]: Simplify 0 into 0
6.838 * [backup-simplify]: Simplify 1 into 1
6.838 * [backup-simplify]: Simplify (/ 1 1) into 1
6.839 * [backup-simplify]: Simplify (- 1) into -1
6.839 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.839 * [taylor]: Taking taylor expansion of 0 in im
6.839 * [backup-simplify]: Simplify 0 into 0
6.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.840 * [backup-simplify]: Simplify (- 0) into 0
6.841 * [backup-simplify]: Simplify (+ 0 0) into 0
6.841 * [taylor]: Taking taylor expansion of 0 in im
6.841 * [backup-simplify]: Simplify 0 into 0
6.841 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.843 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.844 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.845 * [backup-simplify]: Simplify (- 0) into 0
6.846 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.846 * [taylor]: Taking taylor expansion of 1/2 in im
6.846 * [backup-simplify]: Simplify 1/2 into 1/2
6.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.846 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.846 * [taylor]: Taking taylor expansion of im in im
6.846 * [backup-simplify]: Simplify 0 into 0
6.846 * [backup-simplify]: Simplify 1 into 1
6.846 * [backup-simplify]: Simplify (* 1 1) into 1
6.847 * [backup-simplify]: Simplify (/ 1 1) into 1
6.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.849 * [backup-simplify]: Simplify 0 into 0
6.849 * [backup-simplify]: Simplify 0 into 0
6.849 * [backup-simplify]: Simplify 0 into 0
6.849 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.852 * [backup-simplify]: Simplify (+ 0 0) into 0
6.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.854 * [backup-simplify]: Simplify (- 0) into 0
6.854 * [backup-simplify]: Simplify (+ 0 0) into 0
6.854 * [taylor]: Taking taylor expansion of 0 in im
6.854 * [backup-simplify]: Simplify 0 into 0
6.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.857 * [backup-simplify]: Simplify 0 into 0
6.857 * [backup-simplify]: Simplify 0 into 0
6.857 * [backup-simplify]: Simplify 0 into 0
6.857 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
6.858 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3)
6.858 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in (re im) around 0
6.858 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in im
6.858 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in im
6.858 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in im
6.858 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in im
6.858 * [taylor]: Taking taylor expansion of 1/8 in im
6.858 * [backup-simplify]: Simplify 1/8 into 1/8
6.858 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
6.858 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.858 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.858 * [taylor]: Taking taylor expansion of re in im
6.858 * [backup-simplify]: Simplify re into re
6.858 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.858 * [taylor]: Taking taylor expansion of im in im
6.858 * [backup-simplify]: Simplify 0 into 0
6.858 * [backup-simplify]: Simplify 1 into 1
6.858 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.859 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.859 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
6.859 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2)))
6.859 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8)
6.859 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
6.859 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
6.859 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
6.859 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
6.859 * [taylor]: Taking taylor expansion of 1/8 in re
6.859 * [backup-simplify]: Simplify 1/8 into 1/8
6.859 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
6.859 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.859 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.859 * [taylor]: Taking taylor expansion of re in re
6.859 * [backup-simplify]: Simplify 0 into 0
6.859 * [backup-simplify]: Simplify 1 into 1
6.859 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.859 * [taylor]: Taking taylor expansion of im in re
6.860 * [backup-simplify]: Simplify im into im
6.860 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.860 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.860 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
6.860 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
6.860 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
6.860 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
6.860 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
6.860 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
6.860 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
6.860 * [taylor]: Taking taylor expansion of 1/8 in re
6.860 * [backup-simplify]: Simplify 1/8 into 1/8
6.860 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
6.860 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.860 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.861 * [taylor]: Taking taylor expansion of re in re
6.861 * [backup-simplify]: Simplify 0 into 0
6.861 * [backup-simplify]: Simplify 1 into 1
6.861 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.861 * [taylor]: Taking taylor expansion of im in re
6.861 * [backup-simplify]: Simplify im into im
6.861 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.861 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.861 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
6.861 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
6.861 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
6.862 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (pow (pow im 2) 1/8)) into (sqrt im)
6.862 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (sqrt im)) into (pow (pow im 3) 1/4)
6.862 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im
6.862 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
6.862 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im
6.862 * [taylor]: Taking taylor expansion of 1/4 in im
6.862 * [backup-simplify]: Simplify 1/4 into 1/4
6.862 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im
6.862 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.862 * [taylor]: Taking taylor expansion of im in im
6.862 * [backup-simplify]: Simplify 0 into 0
6.862 * [backup-simplify]: Simplify 1 into 1
6.870 * [backup-simplify]: Simplify (* 1 1) into 1
6.871 * [backup-simplify]: Simplify (* 1 1) into 1
6.871 * [backup-simplify]: Simplify (log 1) into 0
6.872 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.872 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im))
6.872 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4)
6.872 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4)
6.872 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.873 * [backup-simplify]: Simplify (+ 0 0) into 0
6.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
6.874 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow im 2)))) into 0
6.875 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.875 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (pow (pow im 2) 1/8))) into 0
6.876 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (sqrt im))) into 0
6.876 * [taylor]: Taking taylor expansion of 0 in im
6.876 * [backup-simplify]: Simplify 0 into 0
6.876 * [backup-simplify]: Simplify 0 into 0
6.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.879 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.879 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
6.880 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.880 * [backup-simplify]: Simplify 0 into 0
6.880 * [backup-simplify]: Simplify (* 1 1) into 1
6.881 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.881 * [backup-simplify]: Simplify (+ 1 0) into 1
6.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
6.882 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/8 (/ 1 (pow im 2)))
6.883 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
6.884 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (pow im 2) 1/8)))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.885 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.885 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
6.885 * [taylor]: Taking taylor expansion of 3/8 in im
6.885 * [backup-simplify]: Simplify 3/8 into 3/8
6.885 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
6.885 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
6.885 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im
6.885 * [taylor]: Taking taylor expansion of 1/4 in im
6.885 * [backup-simplify]: Simplify 1/4 into 1/4
6.885 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
6.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
6.885 * [taylor]: Taking taylor expansion of (pow im 5) in im
6.885 * [taylor]: Taking taylor expansion of im in im
6.885 * [backup-simplify]: Simplify 0 into 0
6.885 * [backup-simplify]: Simplify 1 into 1
6.885 * [backup-simplify]: Simplify (* 1 1) into 1
6.886 * [backup-simplify]: Simplify (* 1 1) into 1
6.886 * [backup-simplify]: Simplify (* 1 1) into 1
6.886 * [backup-simplify]: Simplify (/ 1 1) into 1
6.886 * [backup-simplify]: Simplify (log 1) into 0
6.887 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
6.887 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
6.887 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
6.887 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.887 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.887 * [backup-simplify]: Simplify 0 into 0
6.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.890 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.890 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.890 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
6.891 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.891 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.892 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.892 * [backup-simplify]: Simplify (+ 0 0) into 0
6.894 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
6.895 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
6.896 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.897 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow (pow im 2) 1/8))))) into 0
6.897 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0
6.897 * [taylor]: Taking taylor expansion of 0 in im
6.897 * [backup-simplify]: Simplify 0 into 0
6.897 * [backup-simplify]: Simplify 0 into 0
6.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.900 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
6.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
6.901 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.901 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
6.901 * [backup-simplify]: Simplify 0 into 0
6.901 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.905 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.906 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.906 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
6.907 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.907 * [backup-simplify]: Simplify 0 into 0
6.908 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
6.908 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3)
6.908 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
6.908 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
6.908 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
6.908 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
6.908 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.908 * [taylor]: Taking taylor expansion of 1/8 in im
6.908 * [backup-simplify]: Simplify 1/8 into 1/8
6.908 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.908 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.908 * [taylor]: Taking taylor expansion of im in im
6.908 * [backup-simplify]: Simplify 0 into 0
6.908 * [backup-simplify]: Simplify 1 into 1
6.909 * [backup-simplify]: Simplify (* 1 1) into 1
6.909 * [backup-simplify]: Simplify (/ 1 1) into 1
6.909 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.909 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.909 * [taylor]: Taking taylor expansion of re in im
6.909 * [backup-simplify]: Simplify re into re
6.909 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.909 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.910 * [backup-simplify]: Simplify (+ 1 0) into 1
6.910 * [backup-simplify]: Simplify (log 1) into 0
6.910 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
6.910 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
6.910 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
6.910 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.910 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.910 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.910 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.910 * [taylor]: Taking taylor expansion of 1/8 in re
6.910 * [backup-simplify]: Simplify 1/8 into 1/8
6.910 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.910 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.910 * [taylor]: Taking taylor expansion of im in re
6.910 * [backup-simplify]: Simplify im into im
6.910 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.911 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.911 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.911 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.911 * [taylor]: Taking taylor expansion of re in re
6.911 * [backup-simplify]: Simplify 0 into 0
6.911 * [backup-simplify]: Simplify 1 into 1
6.911 * [backup-simplify]: Simplify (* 1 1) into 1
6.911 * [backup-simplify]: Simplify (/ 1 1) into 1
6.912 * [backup-simplify]: Simplify (+ 0 1) into 1
6.912 * [backup-simplify]: Simplify (log 1) into 0
6.912 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.912 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.912 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.912 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.912 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.912 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.912 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.912 * [taylor]: Taking taylor expansion of 1/8 in re
6.912 * [backup-simplify]: Simplify 1/8 into 1/8
6.912 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.912 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.912 * [taylor]: Taking taylor expansion of im in re
6.913 * [backup-simplify]: Simplify im into im
6.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.913 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.913 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.913 * [taylor]: Taking taylor expansion of re in re
6.913 * [backup-simplify]: Simplify 0 into 0
6.913 * [backup-simplify]: Simplify 1 into 1
6.913 * [backup-simplify]: Simplify (* 1 1) into 1
6.913 * [backup-simplify]: Simplify (/ 1 1) into 1
6.914 * [backup-simplify]: Simplify (+ 0 1) into 1
6.914 * [backup-simplify]: Simplify (log 1) into 0
6.914 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.914 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.914 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.914 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
6.915 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
6.915 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.915 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.915 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.915 * [taylor]: Taking taylor expansion of 1/4 in im
6.915 * [backup-simplify]: Simplify 1/4 into 1/4
6.915 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.915 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.915 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.915 * [taylor]: Taking taylor expansion of re in im
6.915 * [backup-simplify]: Simplify re into re
6.915 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.915 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.915 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.915 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.915 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.915 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.915 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
6.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.917 * [backup-simplify]: Simplify (+ 0 0) into 0
6.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.918 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.918 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
6.919 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.919 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
6.919 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
6.919 * [taylor]: Taking taylor expansion of 0 in im
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.919 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.920 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.920 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.921 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.921 * [backup-simplify]: Simplify 0 into 0
6.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.922 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.924 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
6.924 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.924 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
6.925 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
6.926 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
6.927 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
6.927 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
6.927 * [taylor]: Taking taylor expansion of 3/8 in im
6.927 * [backup-simplify]: Simplify 3/8 into 3/8
6.927 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
6.927 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.927 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.927 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.927 * [taylor]: Taking taylor expansion of 1/4 in im
6.927 * [backup-simplify]: Simplify 1/4 into 1/4
6.927 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.927 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.927 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.927 * [taylor]: Taking taylor expansion of re in im
6.927 * [backup-simplify]: Simplify re into re
6.927 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.927 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.927 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.927 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.927 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.928 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.928 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.928 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.928 * [taylor]: Taking taylor expansion of im in im
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify 1 into 1
6.928 * [backup-simplify]: Simplify (* 1 1) into 1
6.928 * [backup-simplify]: Simplify (/ 1 1) into 1
6.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.930 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.930 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.931 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.932 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.932 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.933 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.934 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.936 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.936 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
6.937 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
6.937 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
6.938 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
6.938 * [backup-simplify]: Simplify 0 into 0
6.938 * [backup-simplify]: Simplify 0 into 0
6.938 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.938 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.941 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.941 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.941 * [backup-simplify]: Simplify 0 into 0
6.941 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.943 * [backup-simplify]: Simplify (+ 0 0) into 0
6.946 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.947 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.948 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
6.950 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.951 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
6.952 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
6.952 * [taylor]: Taking taylor expansion of 0 in im
6.952 * [backup-simplify]: Simplify 0 into 0
6.952 * [backup-simplify]: Simplify 0 into 0
6.952 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4)
6.952 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3)
6.952 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
6.952 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
6.952 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
6.952 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
6.952 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.953 * [taylor]: Taking taylor expansion of 1/8 in im
6.953 * [backup-simplify]: Simplify 1/8 into 1/8
6.953 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.953 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.953 * [taylor]: Taking taylor expansion of im in im
6.953 * [backup-simplify]: Simplify 0 into 0
6.953 * [backup-simplify]: Simplify 1 into 1
6.953 * [backup-simplify]: Simplify (* 1 1) into 1
6.954 * [backup-simplify]: Simplify (/ 1 1) into 1
6.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.954 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.954 * [taylor]: Taking taylor expansion of re in im
6.954 * [backup-simplify]: Simplify re into re
6.954 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.954 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.954 * [backup-simplify]: Simplify (+ 1 0) into 1
6.955 * [backup-simplify]: Simplify (log 1) into 0
6.955 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
6.955 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
6.955 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
6.955 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.955 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.955 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.955 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.955 * [taylor]: Taking taylor expansion of 1/8 in re
6.955 * [backup-simplify]: Simplify 1/8 into 1/8
6.955 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.956 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.956 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.956 * [taylor]: Taking taylor expansion of im in re
6.956 * [backup-simplify]: Simplify im into im
6.956 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.956 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.956 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.956 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.956 * [taylor]: Taking taylor expansion of re in re
6.956 * [backup-simplify]: Simplify 0 into 0
6.956 * [backup-simplify]: Simplify 1 into 1
6.956 * [backup-simplify]: Simplify (* 1 1) into 1
6.957 * [backup-simplify]: Simplify (/ 1 1) into 1
6.957 * [backup-simplify]: Simplify (+ 0 1) into 1
6.957 * [backup-simplify]: Simplify (log 1) into 0
6.958 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.958 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.958 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.958 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.958 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.958 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.958 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.958 * [taylor]: Taking taylor expansion of 1/8 in re
6.958 * [backup-simplify]: Simplify 1/8 into 1/8
6.958 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.958 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.958 * [taylor]: Taking taylor expansion of im in re
6.958 * [backup-simplify]: Simplify im into im
6.958 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.959 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.959 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.959 * [taylor]: Taking taylor expansion of re in re
6.959 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify 1 into 1
6.959 * [backup-simplify]: Simplify (* 1 1) into 1
6.959 * [backup-simplify]: Simplify (/ 1 1) into 1
6.960 * [backup-simplify]: Simplify (+ 0 1) into 1
6.960 * [backup-simplify]: Simplify (log 1) into 0
6.960 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.961 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.961 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.961 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
6.961 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
6.961 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.961 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.961 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.961 * [taylor]: Taking taylor expansion of 1/4 in im
6.961 * [backup-simplify]: Simplify 1/4 into 1/4
6.961 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.961 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.961 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.961 * [taylor]: Taking taylor expansion of re in im
6.961 * [backup-simplify]: Simplify re into re
6.961 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.962 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.962 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.962 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.962 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.962 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.962 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
6.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.964 * [backup-simplify]: Simplify (+ 0 0) into 0
6.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.966 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.966 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
6.967 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.967 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
6.968 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
6.968 * [taylor]: Taking taylor expansion of 0 in im
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.968 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.970 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.971 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.971 * [backup-simplify]: Simplify 0 into 0
6.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.973 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.975 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
6.975 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.976 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
6.977 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
6.978 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
6.979 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
6.980 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
6.980 * [taylor]: Taking taylor expansion of 3/8 in im
6.980 * [backup-simplify]: Simplify 3/8 into 3/8
6.980 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
6.980 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.980 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.980 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.980 * [taylor]: Taking taylor expansion of 1/4 in im
6.980 * [backup-simplify]: Simplify 1/4 into 1/4
6.980 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.980 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.980 * [taylor]: Taking taylor expansion of re in im
6.980 * [backup-simplify]: Simplify re into re
6.980 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.980 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.980 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.980 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.981 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.981 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.981 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.981 * [taylor]: Taking taylor expansion of im in im
6.981 * [backup-simplify]: Simplify 0 into 0
6.981 * [backup-simplify]: Simplify 1 into 1
6.981 * [backup-simplify]: Simplify (* 1 1) into 1
6.982 * [backup-simplify]: Simplify (/ 1 1) into 1
6.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.991 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.991 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.993 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.994 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.995 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.995 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.997 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.998 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
7.000 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.001 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
7.001 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
7.001 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
7.002 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.003 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
7.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
7.006 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
7.006 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
7.008 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.008 * [backup-simplify]: Simplify 0 into 0
7.008 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.011 * [backup-simplify]: Simplify (+ 0 0) into 0
7.014 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
7.015 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
7.016 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
7.018 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.019 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
7.019 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
7.019 * [taylor]: Taking taylor expansion of 0 in im
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4)
7.020 * * * [progress]: simplifying candidates
7.023 * [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 (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re))
  (log (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (exp (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))
  (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (* (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (+ (pow (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3))
  (+ (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (- (* re re) (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))
  (- (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re))
  (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (* 1/2 3)
  (* 1 3)
  (* (/ 1/2 2) 3)
  (* (/ 1 2) 3)
  (* (/ (/ 1/2 2) 2) 3)
  (* (/ (/ 1 2) 2) 3)
  (* (/ (/ (/ 1 2) 2) 2) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 1)
  (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt 1))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)))
  (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt 1))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3)
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (/ 3 2)
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
  (pow (pow re 3) 1/4)
  (pow (* -1 (pow re 3)) 1/4)
7.027 * * [simplify]: Extracting # 0 : cost  0
7.027 * * [simplify]: Extracting # 1 : cost  0
7.028 * * [simplify]: Extracting # 2 : cost  0
7.028 * * [simplify]: Extracting # 3 : cost  0
7.028 * * [simplify]: Extracting # 4 : cost  0
7.029 * * [simplify]: Extracting # 5 : cost  0
7.029 * * [simplify]: Extracting # 6 : cost  0
7.029 * * [simplify]: Extracting # 7 : cost  0
7.030 * * [simplify]: Extracting # 8 : cost  0
7.030 * * [simplify]: Extracting # 9 : cost  0
7.030 * * [simplify]: iteration  0 :  151  enodes  (cost  1948 )
7.097 * * [simplify]: Extracting # 0 : cost  0
7.097 * * [simplify]: Extracting # 1 : cost  0
7.098 * * [simplify]: Extracting # 2 : cost  0
7.098 * * [simplify]: Extracting # 3 : cost  0
7.099 * * [simplify]: Extracting # 4 : cost  0
7.105 * * [simplify]: Extracting # 5 : cost  0
7.106 * * [simplify]: Extracting # 6 : cost  0
7.107 * * [simplify]: iteration  1 :  395  enodes  (cost  1446 )
7.252 * * [simplify]: Extracting # 0 : cost  0
7.254 * * [simplify]: Extracting # 1 : cost  0
7.256 * * [simplify]: Extracting # 2 : cost  0
7.258 * * [simplify]: Extracting # 3 : cost  0
7.261 * * [simplify]: Extracting # 4 : cost  0
7.263 * * [simplify]: Extracting # 5 : cost  0
7.265 * * [simplify]: Extracting # 6 : cost  0
7.267 * * [simplify]: iteration  2 :  977  enodes  (cost  1345 )
8.040 * * [simplify]: Extracting # 0 : cost  0
8.048 * * [simplify]: Extracting # 1 : cost  0
8.055 * * [simplify]: Extracting # 2 : cost  0
8.066 * * [simplify]: Extracting # 3 : cost  0
8.079 * * [simplify]: Extracting # 4 : cost  0
8.089 * * [simplify]: iteration done:  5000  enodes  (cost  1281 )
8.090 * [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 re 3) (pow (sqrt (+ (* re re) (* im im))) 3))
  (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im)))
  (- (+ (* re re) (* im im)) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  3/2
  3
  3/4
  3/2
  3/8
  3/4
  3/8
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (fabs (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (fabs (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 6) (pow re 6))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))))) 3)
  (pow (sqrt (sqrt (sqrt (- (pow re 4) (pow im 4))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  3/2
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
  (pow (pow re 3) 1/4)
  (pow (- (pow re 3)) 1/4)
8.091 * * * [progress]: adding candidates to table
8.561 * * [progress]: iteration 4 / 4
8.561 * * * [progress]: picking best candidate
8.594 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.594 * * * [progress]: localizing error
8.624 * * * [progress]: generating rewritten candidates
8.624 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
8.633 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1)
8.660 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
8.676 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
8.771 * * * [progress]: generating series expansions
8.771 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1)
8.772 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.772 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.772 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.772 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.772 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.772 * [taylor]: Taking taylor expansion of re in im
8.772 * [backup-simplify]: Simplify re into re
8.772 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.772 * [taylor]: Taking taylor expansion of im in im
8.772 * [backup-simplify]: Simplify 0 into 0
8.772 * [backup-simplify]: Simplify 1 into 1
8.772 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.772 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.773 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.773 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.773 * [backup-simplify]: Simplify (+ 0 0) into 0
8.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.774 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.774 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.774 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.774 * [taylor]: Taking taylor expansion of re in re
8.774 * [backup-simplify]: Simplify 0 into 0
8.774 * [backup-simplify]: Simplify 1 into 1
8.774 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.774 * [taylor]: Taking taylor expansion of im in re
8.774 * [backup-simplify]: Simplify im into im
8.774 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.774 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.774 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.774 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.775 * [backup-simplify]: Simplify (+ 0 0) into 0
8.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.775 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.775 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.775 * [taylor]: Taking taylor expansion of re in re
8.775 * [backup-simplify]: Simplify 0 into 0
8.775 * [backup-simplify]: Simplify 1 into 1
8.775 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.775 * [taylor]: Taking taylor expansion of im in re
8.775 * [backup-simplify]: Simplify im into im
8.775 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.776 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.776 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.776 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.776 * [backup-simplify]: Simplify (+ 0 0) into 0
8.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.776 * [taylor]: Taking taylor expansion of im in im
8.777 * [backup-simplify]: Simplify 0 into 0
8.777 * [backup-simplify]: Simplify 1 into 1
8.777 * [backup-simplify]: Simplify 0 into 0
8.777 * [taylor]: Taking taylor expansion of 0 in im
8.777 * [backup-simplify]: Simplify 0 into 0
8.777 * [backup-simplify]: Simplify 0 into 0
8.777 * [backup-simplify]: Simplify 1 into 1
8.777 * [backup-simplify]: Simplify (* 1 1) into 1
8.778 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.778 * [backup-simplify]: Simplify (+ 1 0) into 1
8.779 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.779 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.779 * [taylor]: Taking taylor expansion of 1/2 in im
8.779 * [backup-simplify]: Simplify 1/2 into 1/2
8.779 * [taylor]: Taking taylor expansion of im in im
8.779 * [backup-simplify]: Simplify 0 into 0
8.779 * [backup-simplify]: Simplify 1 into 1
8.780 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.781 * [backup-simplify]: Simplify 0 into 0
8.781 * [backup-simplify]: Simplify 0 into 0
8.781 * [backup-simplify]: Simplify 0 into 0
8.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.782 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.783 * [backup-simplify]: Simplify (+ 0 0) into 0
8.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.783 * [taylor]: Taking taylor expansion of 0 in im
8.783 * [backup-simplify]: Simplify 0 into 0
8.783 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.785 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.785 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.785 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.785 * [taylor]: Taking taylor expansion of im in im
8.785 * [backup-simplify]: Simplify 0 into 0
8.785 * [backup-simplify]: Simplify 1 into 1
8.786 * [backup-simplify]: Simplify (* 1 1) into 1
8.786 * [backup-simplify]: Simplify (/ 1 1) into 1
8.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.786 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.786 * [taylor]: Taking taylor expansion of re in im
8.786 * [backup-simplify]: Simplify re into re
8.786 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.786 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.787 * [backup-simplify]: Simplify (+ 1 0) into 1
8.787 * [backup-simplify]: Simplify (sqrt 1) into 1
8.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.789 * [backup-simplify]: Simplify (+ 0 0) into 0
8.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.790 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.790 * [taylor]: Taking taylor expansion of im in re
8.790 * [backup-simplify]: Simplify im into im
8.790 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.790 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.790 * [taylor]: Taking taylor expansion of (pow re 2) in re
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 (* 1 1) into 1
8.791 * [backup-simplify]: Simplify (/ 1 1) into 1
8.792 * [backup-simplify]: Simplify (+ 0 1) into 1
8.792 * [backup-simplify]: Simplify (sqrt 1) into 1
8.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.794 * [backup-simplify]: Simplify (+ 0 0) into 0
8.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.794 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.794 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.795 * [taylor]: Taking taylor expansion of im in re
8.795 * [backup-simplify]: Simplify im into im
8.795 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.795 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.795 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.795 * [taylor]: Taking taylor expansion of re in re
8.795 * [backup-simplify]: Simplify 0 into 0
8.795 * [backup-simplify]: Simplify 1 into 1
8.795 * [backup-simplify]: Simplify (* 1 1) into 1
8.796 * [backup-simplify]: Simplify (/ 1 1) into 1
8.796 * [backup-simplify]: Simplify (+ 0 1) into 1
8.797 * [backup-simplify]: Simplify (sqrt 1) into 1
8.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.798 * [backup-simplify]: Simplify (+ 0 0) into 0
8.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.799 * [taylor]: Taking taylor expansion of 1 in im
8.799 * [backup-simplify]: Simplify 1 into 1
8.799 * [taylor]: Taking taylor expansion of 0 in im
8.799 * [backup-simplify]: Simplify 0 into 0
8.799 * [backup-simplify]: Simplify 1 into 1
8.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.801 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.803 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.803 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.803 * [taylor]: Taking taylor expansion of 1/2 in im
8.803 * [backup-simplify]: Simplify 1/2 into 1/2
8.803 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.803 * [taylor]: Taking taylor expansion of im in im
8.803 * [backup-simplify]: Simplify 0 into 0
8.803 * [backup-simplify]: Simplify 1 into 1
8.803 * [backup-simplify]: Simplify (* 1 1) into 1
8.804 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.805 * [backup-simplify]: Simplify 0 into 0
8.805 * [backup-simplify]: Simplify 0 into 0
8.805 * [backup-simplify]: Simplify 0 into 0
8.806 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.808 * [backup-simplify]: Simplify (+ 0 0) into 0
8.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.809 * [taylor]: Taking taylor expansion of 0 in im
8.809 * [backup-simplify]: Simplify 0 into 0
8.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.811 * [backup-simplify]: Simplify 0 into 0
8.811 * [backup-simplify]: Simplify 0 into 0
8.811 * [backup-simplify]: Simplify 0 into 0
8.811 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.811 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.811 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.812 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.812 * [taylor]: Taking taylor expansion of im in im
8.812 * [backup-simplify]: Simplify 0 into 0
8.812 * [backup-simplify]: Simplify 1 into 1
8.812 * [backup-simplify]: Simplify (* 1 1) into 1
8.812 * [backup-simplify]: Simplify (/ 1 1) into 1
8.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.812 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.812 * [taylor]: Taking taylor expansion of re in im
8.813 * [backup-simplify]: Simplify re into re
8.813 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.813 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.813 * [backup-simplify]: Simplify (+ 1 0) into 1
8.814 * [backup-simplify]: Simplify (sqrt 1) into 1
8.814 * [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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.816 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.816 * [taylor]: Taking taylor expansion of im in re
8.816 * [backup-simplify]: Simplify im into im
8.817 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.817 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.817 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.817 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.817 * [taylor]: Taking taylor expansion of re in re
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 1 into 1
8.818 * [backup-simplify]: Simplify (* 1 1) into 1
8.818 * [backup-simplify]: Simplify (/ 1 1) into 1
8.818 * [backup-simplify]: Simplify (+ 0 1) into 1
8.819 * [backup-simplify]: Simplify (sqrt 1) into 1
8.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.820 * [backup-simplify]: Simplify (+ 0 0) into 0
8.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.821 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.821 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.821 * [taylor]: Taking taylor expansion of im in re
8.821 * [backup-simplify]: Simplify im into im
8.821 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.822 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.822 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.822 * [taylor]: Taking taylor expansion of re in re
8.822 * [backup-simplify]: Simplify 0 into 0
8.822 * [backup-simplify]: Simplify 1 into 1
8.822 * [backup-simplify]: Simplify (* 1 1) into 1
8.822 * [backup-simplify]: Simplify (/ 1 1) into 1
8.823 * [backup-simplify]: Simplify (+ 0 1) into 1
8.823 * [backup-simplify]: Simplify (sqrt 1) into 1
8.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.825 * [backup-simplify]: Simplify (+ 0 0) into 0
8.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.826 * [taylor]: Taking taylor expansion of 1 in im
8.826 * [backup-simplify]: Simplify 1 into 1
8.826 * [taylor]: Taking taylor expansion of 0 in im
8.826 * [backup-simplify]: Simplify 0 into 0
8.826 * [backup-simplify]: Simplify 1 into 1
8.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.828 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.828 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.828 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.828 * [taylor]: Taking taylor expansion of 1/2 in im
8.829 * [backup-simplify]: Simplify 1/2 into 1/2
8.829 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.829 * [taylor]: Taking taylor expansion of im in im
8.829 * [backup-simplify]: Simplify 0 into 0
8.829 * [backup-simplify]: Simplify 1 into 1
8.829 * [backup-simplify]: Simplify (* 1 1) into 1
8.829 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.830 * [backup-simplify]: Simplify 0 into 0
8.830 * [backup-simplify]: Simplify 0 into 0
8.830 * [backup-simplify]: Simplify 0 into 0
8.830 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.832 * [backup-simplify]: Simplify (+ 0 0) into 0
8.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.832 * [taylor]: Taking taylor expansion of 0 in im
8.832 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.833 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.833 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1)
8.833 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.833 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.833 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.834 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.834 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.834 * [taylor]: Taking taylor expansion of re in im
8.834 * [backup-simplify]: Simplify re into re
8.834 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.834 * [taylor]: Taking taylor expansion of im in im
8.834 * [backup-simplify]: Simplify 0 into 0
8.834 * [backup-simplify]: Simplify 1 into 1
8.834 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.834 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.834 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.834 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.834 * [backup-simplify]: Simplify (+ 0 0) into 0
8.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.834 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.834 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.834 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.834 * [taylor]: Taking taylor expansion of re in re
8.834 * [backup-simplify]: Simplify 0 into 0
8.834 * [backup-simplify]: Simplify 1 into 1
8.834 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.834 * [taylor]: Taking taylor expansion of im in re
8.834 * [backup-simplify]: Simplify im into im
8.834 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.835 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.835 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.835 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.835 * [backup-simplify]: Simplify (+ 0 0) into 0
8.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.835 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.835 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.835 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.835 * [taylor]: Taking taylor expansion of re in re
8.835 * [backup-simplify]: Simplify 0 into 0
8.835 * [backup-simplify]: Simplify 1 into 1
8.835 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.835 * [taylor]: Taking taylor expansion of im in re
8.836 * [backup-simplify]: Simplify im into im
8.836 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.836 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.836 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.836 * [backup-simplify]: Simplify (+ 0 0) into 0
8.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.836 * [taylor]: Taking taylor expansion of im in im
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 1 into 1
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [taylor]: Taking taylor expansion of 0 in im
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 1 into 1
8.837 * [backup-simplify]: Simplify (* 1 1) into 1
8.837 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.837 * [backup-simplify]: Simplify (+ 1 0) into 1
8.838 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.838 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.838 * [taylor]: Taking taylor expansion of 1/2 in im
8.838 * [backup-simplify]: Simplify 1/2 into 1/2
8.838 * [taylor]: Taking taylor expansion of im in im
8.838 * [backup-simplify]: Simplify 0 into 0
8.838 * [backup-simplify]: Simplify 1 into 1
8.838 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.838 * [backup-simplify]: Simplify 0 into 0
8.838 * [backup-simplify]: Simplify 0 into 0
8.839 * [backup-simplify]: Simplify 0 into 0
8.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.839 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.840 * [backup-simplify]: Simplify (+ 0 0) into 0
8.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.840 * [taylor]: Taking taylor expansion of 0 in im
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.841 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.841 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.841 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.841 * [taylor]: Taking taylor expansion of im in im
8.841 * [backup-simplify]: Simplify 0 into 0
8.841 * [backup-simplify]: Simplify 1 into 1
8.841 * [backup-simplify]: Simplify (* 1 1) into 1
8.841 * [backup-simplify]: Simplify (/ 1 1) into 1
8.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.841 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.841 * [taylor]: Taking taylor expansion of re in im
8.841 * [backup-simplify]: Simplify re into re
8.841 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.842 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.842 * [backup-simplify]: Simplify (+ 1 0) into 1
8.842 * [backup-simplify]: Simplify (sqrt 1) into 1
8.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.843 * [backup-simplify]: Simplify (+ 0 0) into 0
8.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.844 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.844 * [taylor]: Taking taylor expansion of im in re
8.844 * [backup-simplify]: Simplify im into im
8.844 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.844 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.844 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.844 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.844 * [taylor]: Taking taylor expansion of re in re
8.844 * [backup-simplify]: Simplify 0 into 0
8.844 * [backup-simplify]: Simplify 1 into 1
8.844 * [backup-simplify]: Simplify (* 1 1) into 1
8.844 * [backup-simplify]: Simplify (/ 1 1) into 1
8.845 * [backup-simplify]: Simplify (+ 0 1) into 1
8.845 * [backup-simplify]: Simplify (sqrt 1) into 1
8.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.846 * [backup-simplify]: Simplify (+ 0 0) into 0
8.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.846 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.846 * [taylor]: Taking taylor expansion of im in re
8.846 * [backup-simplify]: Simplify im into im
8.846 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.847 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.847 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.847 * [taylor]: Taking taylor expansion of re in re
8.847 * [backup-simplify]: Simplify 0 into 0
8.847 * [backup-simplify]: Simplify 1 into 1
8.847 * [backup-simplify]: Simplify (* 1 1) into 1
8.847 * [backup-simplify]: Simplify (/ 1 1) into 1
8.847 * [backup-simplify]: Simplify (+ 0 1) into 1
8.848 * [backup-simplify]: Simplify (sqrt 1) into 1
8.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.849 * [backup-simplify]: Simplify (+ 0 0) into 0
8.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.849 * [taylor]: Taking taylor expansion of 1 in im
8.849 * [backup-simplify]: Simplify 1 into 1
8.849 * [taylor]: Taking taylor expansion of 0 in im
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [backup-simplify]: Simplify 1 into 1
8.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.850 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.851 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.851 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.851 * [taylor]: Taking taylor expansion of 1/2 in im
8.851 * [backup-simplify]: Simplify 1/2 into 1/2
8.851 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.851 * [taylor]: Taking taylor expansion of im in im
8.851 * [backup-simplify]: Simplify 0 into 0
8.851 * [backup-simplify]: Simplify 1 into 1
8.852 * [backup-simplify]: Simplify (* 1 1) into 1
8.852 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) 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 (+ (* im 0) (* 0 im)) into 0
8.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.854 * [backup-simplify]: Simplify (+ 0 0) into 0
8.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.855 * [taylor]: Taking taylor expansion of 0 in im
8.855 * [backup-simplify]: Simplify 0 into 0
8.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.856 * [backup-simplify]: Simplify 0 into 0
8.856 * [backup-simplify]: Simplify 0 into 0
8.856 * [backup-simplify]: Simplify 0 into 0
8.856 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.856 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.856 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.856 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.856 * [taylor]: Taking taylor expansion of im in im
8.857 * [backup-simplify]: Simplify 0 into 0
8.857 * [backup-simplify]: Simplify 1 into 1
8.857 * [backup-simplify]: Simplify (* 1 1) into 1
8.857 * [backup-simplify]: Simplify (/ 1 1) into 1
8.857 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.857 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.857 * [taylor]: Taking taylor expansion of re in im
8.857 * [backup-simplify]: Simplify re into re
8.857 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.857 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.858 * [backup-simplify]: Simplify (+ 1 0) into 1
8.858 * [backup-simplify]: Simplify (sqrt 1) into 1
8.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.859 * [backup-simplify]: Simplify (+ 0 0) into 0
8.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.860 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.860 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.860 * [taylor]: Taking taylor expansion of im in re
8.860 * [backup-simplify]: Simplify im into im
8.860 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.860 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.860 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.860 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.860 * [taylor]: Taking taylor expansion of re in re
8.860 * [backup-simplify]: Simplify 0 into 0
8.860 * [backup-simplify]: Simplify 1 into 1
8.860 * [backup-simplify]: Simplify (* 1 1) into 1
8.860 * [backup-simplify]: Simplify (/ 1 1) into 1
8.861 * [backup-simplify]: Simplify (+ 0 1) into 1
8.861 * [backup-simplify]: Simplify (sqrt 1) into 1
8.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.862 * [backup-simplify]: Simplify (+ 0 0) into 0
8.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.862 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.862 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.862 * [taylor]: Taking taylor expansion of im in re
8.862 * [backup-simplify]: Simplify im into im
8.863 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.863 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.863 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.863 * [taylor]: Taking taylor expansion of re in re
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify 1 into 1
8.863 * [backup-simplify]: Simplify (* 1 1) into 1
8.863 * [backup-simplify]: Simplify (/ 1 1) into 1
8.863 * [backup-simplify]: Simplify (+ 0 1) into 1
8.864 * [backup-simplify]: Simplify (sqrt 1) into 1
8.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.865 * [backup-simplify]: Simplify (+ 0 0) into 0
8.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.865 * [taylor]: Taking taylor expansion of 1 in im
8.865 * [backup-simplify]: Simplify 1 into 1
8.865 * [taylor]: Taking taylor expansion of 0 in im
8.865 * [backup-simplify]: Simplify 0 into 0
8.865 * [backup-simplify]: Simplify 1 into 1
8.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.867 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.868 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.868 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.868 * [taylor]: Taking taylor expansion of 1/2 in im
8.868 * [backup-simplify]: Simplify 1/2 into 1/2
8.868 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.868 * [taylor]: Taking taylor expansion of im in im
8.868 * [backup-simplify]: Simplify 0 into 0
8.868 * [backup-simplify]: Simplify 1 into 1
8.868 * [backup-simplify]: Simplify (* 1 1) into 1
8.869 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.880 * [backup-simplify]: Simplify (+ 0 0) into 0
8.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.881 * [taylor]: Taking taylor expansion of 0 in im
8.881 * [backup-simplify]: Simplify 0 into 0
8.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.883 * [backup-simplify]: Simplify 0 into 0
8.883 * [backup-simplify]: Simplify 0 into 0
8.883 * [backup-simplify]: Simplify 0 into 0
8.884 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.884 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1)
8.884 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.884 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.884 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.884 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.884 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.884 * [taylor]: Taking taylor expansion of re in im
8.884 * [backup-simplify]: Simplify re into re
8.884 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.884 * [taylor]: Taking taylor expansion of im in im
8.884 * [backup-simplify]: Simplify 0 into 0
8.884 * [backup-simplify]: Simplify 1 into 1
8.884 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.884 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.885 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.885 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.885 * [backup-simplify]: Simplify (+ 0 0) into 0
8.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.886 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.886 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.886 * [taylor]: Taking taylor expansion of re in re
8.886 * [backup-simplify]: Simplify 0 into 0
8.886 * [backup-simplify]: Simplify 1 into 1
8.886 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.886 * [taylor]: Taking taylor expansion of im in re
8.886 * [backup-simplify]: Simplify im into im
8.886 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.886 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.886 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.886 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.887 * [backup-simplify]: Simplify (+ 0 0) into 0
8.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.887 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.887 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.887 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.887 * [taylor]: Taking taylor expansion of re in re
8.887 * [backup-simplify]: Simplify 0 into 0
8.887 * [backup-simplify]: Simplify 1 into 1
8.887 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.887 * [taylor]: Taking taylor expansion of im in re
8.887 * [backup-simplify]: Simplify im into im
8.887 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.887 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.887 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.888 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.888 * [backup-simplify]: Simplify (+ 0 0) into 0
8.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.888 * [taylor]: Taking taylor expansion of im in im
8.888 * [backup-simplify]: Simplify 0 into 0
8.888 * [backup-simplify]: Simplify 1 into 1
8.888 * [backup-simplify]: Simplify 0 into 0
8.888 * [taylor]: Taking taylor expansion of 0 in im
8.888 * [backup-simplify]: Simplify 0 into 0
8.888 * [backup-simplify]: Simplify 0 into 0
8.888 * [backup-simplify]: Simplify 1 into 1
8.889 * [backup-simplify]: Simplify (* 1 1) into 1
8.889 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.890 * [backup-simplify]: Simplify (+ 1 0) into 1
8.890 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.891 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.891 * [taylor]: Taking taylor expansion of 1/2 in im
8.891 * [backup-simplify]: Simplify 1/2 into 1/2
8.891 * [taylor]: Taking taylor expansion of im in im
8.891 * [backup-simplify]: Simplify 0 into 0
8.891 * [backup-simplify]: Simplify 1 into 1
8.891 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.892 * [backup-simplify]: Simplify 0 into 0
8.892 * [backup-simplify]: Simplify 0 into 0
8.892 * [backup-simplify]: Simplify 0 into 0
8.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.893 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.894 * [backup-simplify]: Simplify (+ 0 0) into 0
8.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.894 * [taylor]: Taking taylor expansion of 0 in im
8.894 * [backup-simplify]: Simplify 0 into 0
8.894 * [backup-simplify]: Simplify 0 into 0
8.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.895 * [backup-simplify]: Simplify 0 into 0
8.895 * [backup-simplify]: Simplify 0 into 0
8.895 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.896 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.896 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.896 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.896 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.896 * [taylor]: Taking taylor expansion of im in im
8.896 * [backup-simplify]: Simplify 0 into 0
8.896 * [backup-simplify]: Simplify 1 into 1
8.896 * [backup-simplify]: Simplify (* 1 1) into 1
8.896 * [backup-simplify]: Simplify (/ 1 1) into 1
8.897 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.897 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.897 * [taylor]: Taking taylor expansion of re in im
8.897 * [backup-simplify]: Simplify re into re
8.897 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.897 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.897 * [backup-simplify]: Simplify (+ 1 0) into 1
8.898 * [backup-simplify]: Simplify (sqrt 1) into 1
8.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.899 * [backup-simplify]: Simplify (+ 0 0) into 0
8.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.900 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.900 * [taylor]: Taking taylor expansion of im in re
8.900 * [backup-simplify]: Simplify im into im
8.900 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.901 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.901 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.901 * [taylor]: Taking taylor expansion of re in re
8.901 * [backup-simplify]: Simplify 0 into 0
8.901 * [backup-simplify]: Simplify 1 into 1
8.901 * [backup-simplify]: Simplify (* 1 1) into 1
8.901 * [backup-simplify]: Simplify (/ 1 1) into 1
8.902 * [backup-simplify]: Simplify (+ 0 1) into 1
8.902 * [backup-simplify]: Simplify (sqrt 1) into 1
8.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.904 * [backup-simplify]: Simplify (+ 0 0) into 0
8.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.905 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.905 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.905 * [taylor]: Taking taylor expansion of im in re
8.905 * [backup-simplify]: Simplify im into im
8.905 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.905 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.905 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.905 * [taylor]: Taking taylor expansion of re in re
8.905 * [backup-simplify]: Simplify 0 into 0
8.905 * [backup-simplify]: Simplify 1 into 1
8.905 * [backup-simplify]: Simplify (* 1 1) into 1
8.906 * [backup-simplify]: Simplify (/ 1 1) into 1
8.906 * [backup-simplify]: Simplify (+ 0 1) into 1
8.907 * [backup-simplify]: Simplify (sqrt 1) into 1
8.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.908 * [backup-simplify]: Simplify (+ 0 0) into 0
8.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.908 * [taylor]: Taking taylor expansion of 1 in im
8.908 * [backup-simplify]: Simplify 1 into 1
8.908 * [taylor]: Taking taylor expansion of 0 in im
8.908 * [backup-simplify]: Simplify 0 into 0
8.908 * [backup-simplify]: Simplify 1 into 1
8.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.910 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.910 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.910 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.910 * [taylor]: Taking taylor expansion of 1/2 in im
8.910 * [backup-simplify]: Simplify 1/2 into 1/2
8.910 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.910 * [taylor]: Taking taylor expansion of im in im
8.911 * [backup-simplify]: Simplify 0 into 0
8.911 * [backup-simplify]: Simplify 1 into 1
8.911 * [backup-simplify]: Simplify (* 1 1) into 1
8.911 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.912 * [backup-simplify]: Simplify 0 into 0
8.912 * [backup-simplify]: Simplify 0 into 0
8.912 * [backup-simplify]: Simplify 0 into 0
8.912 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.914 * [backup-simplify]: Simplify (+ 0 0) into 0
8.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.914 * [taylor]: Taking taylor expansion of 0 in im
8.914 * [backup-simplify]: Simplify 0 into 0
8.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.915 * [backup-simplify]: Simplify 0 into 0
8.915 * [backup-simplify]: Simplify 0 into 0
8.915 * [backup-simplify]: Simplify 0 into 0
8.915 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.915 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.916 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.916 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.916 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.916 * [taylor]: Taking taylor expansion of im in im
8.916 * [backup-simplify]: Simplify 0 into 0
8.916 * [backup-simplify]: Simplify 1 into 1
8.916 * [backup-simplify]: Simplify (* 1 1) into 1
8.916 * [backup-simplify]: Simplify (/ 1 1) into 1
8.916 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.916 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.916 * [taylor]: Taking taylor expansion of re in im
8.916 * [backup-simplify]: Simplify re into re
8.916 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.916 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.917 * [backup-simplify]: Simplify (+ 1 0) into 1
8.917 * [backup-simplify]: Simplify (sqrt 1) into 1
8.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.918 * [backup-simplify]: Simplify (+ 0 0) into 0
8.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.918 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.918 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.918 * [taylor]: Taking taylor expansion of im in re
8.918 * [backup-simplify]: Simplify im into im
8.919 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.919 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.919 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.919 * [taylor]: Taking taylor expansion of re in re
8.919 * [backup-simplify]: Simplify 0 into 0
8.919 * [backup-simplify]: Simplify 1 into 1
8.919 * [backup-simplify]: Simplify (* 1 1) into 1
8.919 * [backup-simplify]: Simplify (/ 1 1) into 1
8.919 * [backup-simplify]: Simplify (+ 0 1) into 1
8.920 * [backup-simplify]: Simplify (sqrt 1) into 1
8.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.921 * [backup-simplify]: Simplify (+ 0 0) into 0
8.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.921 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.921 * [taylor]: Taking taylor expansion of im in re
8.921 * [backup-simplify]: Simplify im into im
8.921 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.921 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.921 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.922 * [taylor]: Taking taylor expansion of re in re
8.922 * [backup-simplify]: Simplify 0 into 0
8.922 * [backup-simplify]: Simplify 1 into 1
8.922 * [backup-simplify]: Simplify (* 1 1) into 1
8.922 * [backup-simplify]: Simplify (/ 1 1) into 1
8.922 * [backup-simplify]: Simplify (+ 0 1) into 1
8.922 * [backup-simplify]: Simplify (sqrt 1) into 1
8.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.924 * [backup-simplify]: Simplify (+ 0 0) into 0
8.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.924 * [taylor]: Taking taylor expansion of 1 in im
8.924 * [backup-simplify]: Simplify 1 into 1
8.924 * [taylor]: Taking taylor expansion of 0 in im
8.924 * [backup-simplify]: Simplify 0 into 0
8.924 * [backup-simplify]: Simplify 1 into 1
8.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.925 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.926 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.926 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.926 * [taylor]: Taking taylor expansion of 1/2 in im
8.926 * [backup-simplify]: Simplify 1/2 into 1/2
8.926 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.926 * [taylor]: Taking taylor expansion of im in im
8.926 * [backup-simplify]: Simplify 0 into 0
8.926 * [backup-simplify]: Simplify 1 into 1
8.926 * [backup-simplify]: Simplify (* 1 1) into 1
8.927 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.928 * [backup-simplify]: Simplify 0 into 0
8.928 * [backup-simplify]: Simplify 0 into 0
8.928 * [backup-simplify]: Simplify 0 into 0
8.928 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.929 * [backup-simplify]: Simplify (+ 0 0) into 0
8.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.930 * [taylor]: Taking taylor expansion of 0 in im
8.930 * [backup-simplify]: Simplify 0 into 0
8.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.931 * [backup-simplify]: Simplify 0 into 0
8.931 * [backup-simplify]: Simplify 0 into 0
8.931 * [backup-simplify]: Simplify 0 into 0
8.931 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.931 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
8.931 * [backup-simplify]: Simplify (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re) into (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)))
8.932 * [approximate]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in (re im) around 0
8.932 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in im
8.932 * [taylor]: Taking taylor expansion of re in im
8.932 * [backup-simplify]: Simplify re into re
8.932 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in im
8.932 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im
8.932 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
8.932 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im
8.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im
8.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im
8.932 * [taylor]: Taking taylor expansion of 1/3 in im
8.932 * [backup-simplify]: Simplify 1/3 into 1/3
8.932 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
8.932 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.932 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.932 * [taylor]: Taking taylor expansion of re in im
8.932 * [backup-simplify]: Simplify re into re
8.932 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.932 * [taylor]: Taking taylor expansion of im in im
8.932 * [backup-simplify]: Simplify 0 into 0
8.932 * [backup-simplify]: Simplify 1 into 1
8.932 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.932 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.932 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
8.932 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
8.933 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
8.933 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in re
8.933 * [taylor]: Taking taylor expansion of re in re
8.933 * [backup-simplify]: Simplify 0 into 0
8.933 * [backup-simplify]: Simplify 1 into 1
8.933 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in re
8.933 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in re
8.933 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
8.933 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re
8.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re
8.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re
8.933 * [taylor]: Taking taylor expansion of 1/3 in re
8.933 * [backup-simplify]: Simplify 1/3 into 1/3
8.933 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
8.933 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.933 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.933 * [taylor]: Taking taylor expansion of re in re
8.933 * [backup-simplify]: Simplify 0 into 0
8.933 * [backup-simplify]: Simplify 1 into 1
8.933 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.933 * [taylor]: Taking taylor expansion of im in re
8.933 * [backup-simplify]: Simplify im into im
8.933 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.933 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.933 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
8.933 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
8.934 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
8.934 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in re
8.934 * [taylor]: Taking taylor expansion of re in re
8.934 * [backup-simplify]: Simplify 0 into 0
8.934 * [backup-simplify]: Simplify 1 into 1
8.934 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in re
8.934 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in re
8.934 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
8.934 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re
8.934 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re
8.934 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re
8.934 * [taylor]: Taking taylor expansion of 1/3 in re
8.934 * [backup-simplify]: Simplify 1/3 into 1/3
8.934 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
8.934 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.934 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.934 * [taylor]: Taking taylor expansion of re in re
8.934 * [backup-simplify]: Simplify 0 into 0
8.934 * [backup-simplify]: Simplify 1 into 1
8.934 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.934 * [taylor]: Taking taylor expansion of im in re
8.934 * [backup-simplify]: Simplify im into im
8.934 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.934 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.934 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
8.934 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
8.934 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
8.935 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
8.935 * [backup-simplify]: Simplify (+ 0 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
8.935 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) in im
8.935 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im
8.935 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
8.935 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im
8.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
8.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
8.936 * [taylor]: Taking taylor expansion of 1/3 in im
8.936 * [backup-simplify]: Simplify 1/3 into 1/3
8.936 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
8.936 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.936 * [taylor]: Taking taylor expansion of im in im
8.936 * [backup-simplify]: Simplify 0 into 0
8.936 * [backup-simplify]: Simplify 1 into 1
8.936 * [backup-simplify]: Simplify (* 1 1) into 1
8.936 * [backup-simplify]: Simplify (log 1) into 0
8.937 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
8.937 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
8.937 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
8.937 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow im 2/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
8.938 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
8.938 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.938 * [backup-simplify]: Simplify (+ 0 0) into 0
8.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
8.939 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0
8.940 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.940 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 0) (* 0 (pow (pow im 2) 1/3))) into 0
8.940 * [backup-simplify]: Simplify (+ 1 0) into 1
8.940 * [taylor]: Taking taylor expansion of 1 in im
8.940 * [backup-simplify]: Simplify 1 into 1
8.940 * [backup-simplify]: Simplify 1 into 1
8.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.942 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
8.942 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
8.943 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.943 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 0) (* 0 (pow im 2/3))) into 0
8.943 * [backup-simplify]: Simplify 0 into 0
8.943 * [backup-simplify]: Simplify (* 1 1) into 1
8.944 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.944 * [backup-simplify]: Simplify (+ 1 0) into 1
8.945 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
8.946 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2)))
8.946 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
8.947 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (* 1/3 (pow (/ 1 (pow im 4)) 1/3))) (+ (* 0 0) (* 0 (pow (pow im 2) 1/3)))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
8.948 * [backup-simplify]: Simplify (+ 0 (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
8.948 * [taylor]: Taking taylor expansion of (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) in im
8.948 * [taylor]: Taking taylor expansion of 1/3 in im
8.948 * [backup-simplify]: Simplify 1/3 into 1/3
8.948 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)) in im
8.948 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im
8.948 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
8.948 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
8.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
8.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
8.948 * [taylor]: Taking taylor expansion of 1/3 in im
8.948 * [backup-simplify]: Simplify 1/3 into 1/3
8.948 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im
8.948 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
8.948 * [taylor]: Taking taylor expansion of (pow im 4) in im
8.948 * [taylor]: Taking taylor expansion of im in im
8.948 * [backup-simplify]: Simplify 0 into 0
8.948 * [backup-simplify]: Simplify 1 into 1
8.948 * [backup-simplify]: Simplify (* 1 1) into 1
8.949 * [backup-simplify]: Simplify (* 1 1) into 1
8.949 * [backup-simplify]: Simplify (/ 1 1) into 1
8.949 * [backup-simplify]: Simplify (log 1) into 0
8.949 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
8.949 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
8.949 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
8.950 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow im -4/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))
8.950 * [backup-simplify]: Simplify (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
8.950 * [backup-simplify]: Simplify (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
8.951 * [backup-simplify]: Simplify (+ (* (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) (pow (* 1 re) 2)) (+ (* 1 (* 1 re)) (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)))) into (+ re (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) (* 1/3 (* (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow re 2)) (pow (/ 1 (pow im 4)) 1/3)))))
8.953 * [backup-simplify]: Simplify (+ (* (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (fabs (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (sqrt (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)))
8.953 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in (re im) around 0
8.953 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in im
8.953 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.953 * [taylor]: Taking taylor expansion of re in im
8.953 * [backup-simplify]: Simplify re into re
8.953 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.953 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in im
8.953 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
8.954 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.954 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im
8.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
8.954 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.954 * [taylor]: Taking taylor expansion of 1/3 in im
8.954 * [backup-simplify]: Simplify 1/3 into 1/3
8.954 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.954 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.954 * [taylor]: Taking taylor expansion of im in im
8.954 * [backup-simplify]: Simplify 0 into 0
8.954 * [backup-simplify]: Simplify 1 into 1
8.954 * [backup-simplify]: Simplify (* 1 1) into 1
8.955 * [backup-simplify]: Simplify (/ 1 1) into 1
8.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.955 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.955 * [taylor]: Taking taylor expansion of re in im
8.955 * [backup-simplify]: Simplify re into re
8.955 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.955 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.956 * [backup-simplify]: Simplify (+ 1 0) into 1
8.956 * [backup-simplify]: Simplify (log 1) into 0
8.957 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
8.957 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
8.957 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
8.957 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in re
8.957 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.957 * [taylor]: Taking taylor expansion of re in re
8.957 * [backup-simplify]: Simplify 0 into 0
8.957 * [backup-simplify]: Simplify 1 into 1
8.957 * [backup-simplify]: Simplify (/ 1 1) into 1
8.957 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
8.957 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
8.958 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.958 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
8.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
8.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.958 * [taylor]: Taking taylor expansion of 1/3 in re
8.958 * [backup-simplify]: Simplify 1/3 into 1/3
8.958 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.958 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.958 * [taylor]: Taking taylor expansion of im in re
8.958 * [backup-simplify]: Simplify im into im
8.958 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.958 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.959 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.959 * [taylor]: Taking taylor expansion of re in re
8.959 * [backup-simplify]: Simplify 0 into 0
8.959 * [backup-simplify]: Simplify 1 into 1
8.959 * [backup-simplify]: Simplify (* 1 1) into 1
8.959 * [backup-simplify]: Simplify (/ 1 1) into 1
8.960 * [backup-simplify]: Simplify (+ 0 1) into 1
8.960 * [backup-simplify]: Simplify (log 1) into 0
8.961 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.961 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
8.961 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.961 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in re
8.961 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.961 * [taylor]: Taking taylor expansion of re in re
8.961 * [backup-simplify]: Simplify 0 into 0
8.961 * [backup-simplify]: Simplify 1 into 1
8.962 * [backup-simplify]: Simplify (/ 1 1) into 1
8.962 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
8.962 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
8.962 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.962 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
8.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
8.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.962 * [taylor]: Taking taylor expansion of 1/3 in re
8.962 * [backup-simplify]: Simplify 1/3 into 1/3
8.962 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.962 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.962 * [taylor]: Taking taylor expansion of im in re
8.962 * [backup-simplify]: Simplify im into im
8.962 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.963 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.963 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.963 * [taylor]: Taking taylor expansion of re in re
8.963 * [backup-simplify]: Simplify 0 into 0
8.963 * [backup-simplify]: Simplify 1 into 1
8.963 * [backup-simplify]: Simplify (* 1 1) into 1
8.964 * [backup-simplify]: Simplify (/ 1 1) into 1
8.964 * [backup-simplify]: Simplify (+ 0 1) into 1
8.965 * [backup-simplify]: Simplify (log 1) into 0
8.966 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.966 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
8.966 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.966 * [backup-simplify]: Simplify (+ 1 0) into 1
8.966 * [taylor]: Taking taylor expansion of 1 in im
8.966 * [backup-simplify]: Simplify 1 into 1
8.966 * [backup-simplify]: Simplify 1 into 1
8.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.968 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow re -2/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.968 * [backup-simplify]: Simplify (+ 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.968 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) in im
8.969 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
8.969 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.969 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
8.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
8.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
8.969 * [taylor]: Taking taylor expansion of 1/3 in im
8.969 * [backup-simplify]: Simplify 1/3 into 1/3
8.969 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
8.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.969 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.969 * [taylor]: Taking taylor expansion of re in im
8.969 * [backup-simplify]: Simplify re into re
8.969 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.969 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.970 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
8.970 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
8.970 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
8.971 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.971 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
8.971 * [backup-simplify]: Simplify 0 into 0
8.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.974 * [backup-simplify]: Simplify (+ 0 0) into 0
8.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.976 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.977 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
8.978 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.978 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow re -2/3))) into 0
8.979 * [backup-simplify]: Simplify (+ 0 0) into 0
8.979 * [taylor]: Taking taylor expansion of 0 in im
8.979 * [backup-simplify]: Simplify 0 into 0
8.979 * [backup-simplify]: Simplify 0 into 0
8.979 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
8.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
8.981 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
8.982 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.983 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
8.983 * [backup-simplify]: Simplify 0 into 0
8.983 * [backup-simplify]: Simplify 0 into 0
8.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.986 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.988 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
8.989 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.990 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
8.991 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
8.992 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* 0 (pow re -2/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
8.993 * [backup-simplify]: Simplify (+ 0 (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
8.993 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) in im
8.993 * [taylor]: Taking taylor expansion of 1/3 in im
8.993 * [backup-simplify]: Simplify 1/3 into 1/3
8.993 * [taylor]: Taking taylor expansion of (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)) in im
8.993 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) in im
8.993 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
8.994 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.994 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.994 * [taylor]: Taking taylor expansion of im in im
8.994 * [backup-simplify]: Simplify 0 into 0
8.994 * [backup-simplify]: Simplify 1 into 1
8.995 * [backup-simplify]: Simplify (* 1 1) into 1
8.995 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
8.995 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
8.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
8.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
8.995 * [taylor]: Taking taylor expansion of 1/3 in im
8.995 * [backup-simplify]: Simplify 1/3 into 1/3
8.995 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
8.995 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.995 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.995 * [taylor]: Taking taylor expansion of re in im
8.995 * [backup-simplify]: Simplify re into re
8.995 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.996 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.996 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
8.996 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
8.996 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
8.997 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
8.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
8.999 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
8.999 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
9.002 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
9.003 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
9.004 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)))) into 0
9.008 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.019 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
9.020 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
9.021 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
9.022 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))))) into 0
9.022 * [backup-simplify]: Simplify 0 into 0
9.023 * [backup-simplify]: Simplify 0 into 0
9.023 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow (/ 1 im) 2)) (/ 1 (pow (/ 1 re) 2))) 1/6)) (pow (/ 1 (pow (/ 1 re) 2)) 1/3)) (* 1 (* 1 (/ 1 (/ 1 re))))) into (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
9.025 * [backup-simplify]: Simplify (+ (* (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (fabs (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (sqrt (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re))
9.025 * [approximate]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in (re im) around 0
9.025 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in im
9.025 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in im
9.025 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
9.026 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
9.026 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im
9.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
9.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
9.026 * [taylor]: Taking taylor expansion of 1/3 in im
9.026 * [backup-simplify]: Simplify 1/3 into 1/3
9.026 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.026 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.026 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.026 * [taylor]: Taking taylor expansion of im in im
9.026 * [backup-simplify]: Simplify 0 into 0
9.026 * [backup-simplify]: Simplify 1 into 1
9.027 * [backup-simplify]: Simplify (* 1 1) into 1
9.027 * [backup-simplify]: Simplify (/ 1 1) into 1
9.027 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.027 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.027 * [taylor]: Taking taylor expansion of re in im
9.027 * [backup-simplify]: Simplify re into re
9.027 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.027 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.028 * [backup-simplify]: Simplify (+ 1 0) into 1
9.028 * [backup-simplify]: Simplify (log 1) into 0
9.028 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
9.028 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
9.028 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
9.028 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.028 * [taylor]: Taking taylor expansion of re in im
9.028 * [backup-simplify]: Simplify re into re
9.028 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.028 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in re
9.029 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
9.029 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
9.029 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
9.029 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
9.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
9.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.029 * [taylor]: Taking taylor expansion of 1/3 in re
9.029 * [backup-simplify]: Simplify 1/3 into 1/3
9.029 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.029 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.029 * [taylor]: Taking taylor expansion of im in re
9.029 * [backup-simplify]: Simplify im into im
9.029 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.029 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.029 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.029 * [taylor]: Taking taylor expansion of re in re
9.029 * [backup-simplify]: Simplify 0 into 0
9.029 * [backup-simplify]: Simplify 1 into 1
9.029 * [backup-simplify]: Simplify (* 1 1) into 1
9.030 * [backup-simplify]: Simplify (/ 1 1) into 1
9.030 * [backup-simplify]: Simplify (+ 0 1) into 1
9.030 * [backup-simplify]: Simplify (log 1) into 0
9.030 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.031 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
9.031 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
9.031 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.031 * [taylor]: Taking taylor expansion of re in re
9.031 * [backup-simplify]: Simplify 0 into 0
9.031 * [backup-simplify]: Simplify 1 into 1
9.031 * [backup-simplify]: Simplify (/ 1 1) into 1
9.031 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in re
9.031 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
9.031 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
9.031 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
9.031 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
9.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
9.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.031 * [taylor]: Taking taylor expansion of 1/3 in re
9.031 * [backup-simplify]: Simplify 1/3 into 1/3
9.031 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.031 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.031 * [taylor]: Taking taylor expansion of im in re
9.031 * [backup-simplify]: Simplify im into im
9.031 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.032 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.032 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.032 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.032 * [taylor]: Taking taylor expansion of re in re
9.032 * [backup-simplify]: Simplify 0 into 0
9.032 * [backup-simplify]: Simplify 1 into 1
9.032 * [backup-simplify]: Simplify (* 1 1) into 1
9.032 * [backup-simplify]: Simplify (/ 1 1) into 1
9.032 * [backup-simplify]: Simplify (+ 0 1) into 1
9.033 * [backup-simplify]: Simplify (log 1) into 0
9.033 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.033 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
9.033 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
9.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.033 * [taylor]: Taking taylor expansion of re in re
9.033 * [backup-simplify]: Simplify 0 into 0
9.033 * [backup-simplify]: Simplify 1 into 1
9.033 * [backup-simplify]: Simplify (/ 1 1) into 1
9.034 * [backup-simplify]: Simplify (- 1) into -1
9.034 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.034 * [taylor]: Taking taylor expansion of -1 in im
9.034 * [backup-simplify]: Simplify -1 into -1
9.034 * [backup-simplify]: Simplify -1 into -1
9.034 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow re -2/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
9.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.035 * [backup-simplify]: Simplify (- 0) into 0
9.035 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 0) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
9.035 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) in im
9.035 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
9.036 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
9.036 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
9.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
9.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
9.036 * [taylor]: Taking taylor expansion of 1/3 in im
9.036 * [backup-simplify]: Simplify 1/3 into 1/3
9.036 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
9.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.036 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.036 * [taylor]: Taking taylor expansion of re in im
9.036 * [backup-simplify]: Simplify re into re
9.036 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.036 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.036 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
9.036 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
9.036 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
9.037 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
9.037 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
9.037 * [backup-simplify]: Simplify 0 into 0
9.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.038 * [backup-simplify]: Simplify (+ 0 0) into 0
9.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.039 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
9.040 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
9.040 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow re -2/3))) into 0
9.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.041 * [backup-simplify]: Simplify (- 0) into 0
9.041 * [backup-simplify]: Simplify (+ 0 0) into 0
9.041 * [taylor]: Taking taylor expansion of 0 in im
9.041 * [backup-simplify]: Simplify 0 into 0
9.041 * [backup-simplify]: Simplify 0 into 0
9.041 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
9.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
9.043 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
9.043 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.044 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
9.044 * [backup-simplify]: Simplify 0 into 0
9.044 * [backup-simplify]: Simplify 0 into 0
9.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.045 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.046 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
9.046 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.047 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
9.048 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
9.048 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* 0 (pow re -2/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
9.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.049 * [backup-simplify]: Simplify (- 0) into 0
9.050 * [backup-simplify]: Simplify (+ (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) 0) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
9.050 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) in im
9.050 * [taylor]: Taking taylor expansion of 1/3 in im
9.050 * [backup-simplify]: Simplify 1/3 into 1/3
9.050 * [taylor]: Taking taylor expansion of (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)) in im
9.050 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) in im
9.050 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
9.050 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
9.050 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.050 * [taylor]: Taking taylor expansion of im in im
9.050 * [backup-simplify]: Simplify 0 into 0
9.050 * [backup-simplify]: Simplify 1 into 1
9.050 * [backup-simplify]: Simplify (* 1 1) into 1
9.051 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
9.051 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
9.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
9.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
9.051 * [taylor]: Taking taylor expansion of 1/3 in im
9.051 * [backup-simplify]: Simplify 1/3 into 1/3
9.051 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
9.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.051 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.051 * [taylor]: Taking taylor expansion of re in im
9.051 * [backup-simplify]: Simplify re into re
9.051 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.051 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.051 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
9.051 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
9.051 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
9.051 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
9.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
9.052 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
9.053 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
9.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
9.055 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
9.056 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)))) into 0
9.057 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.060 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
9.060 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
9.060 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
9.061 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))))) into 0
9.061 * [backup-simplify]: Simplify 0 into 0
9.061 * [backup-simplify]: Simplify 0 into 0
9.062 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow (/ 1 (- im)) 2)) (/ 1 (pow (/ 1 (- re)) 2))) 1/6)) (pow (/ 1 (pow (/ 1 (- re)) 2)) 1/3)) (* -1 (* 1 (/ 1 (/ 1 (- re)))))) into (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
9.062 * * * [progress]: simplifying candidates
9.063 * [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))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp re))
  (log (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (exp (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))
  (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (* (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (+ (pow (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3))
  (+ (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (- (* re re) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))
  (- (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) (* 1/3 (* (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow re 2)) (pow (/ 1 (pow im 4)) 1/3)))))
  (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
  (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
9.066 * * [simplify]: Extracting # 0 : cost  0
9.066 * * [simplify]: Extracting # 1 : cost  0
9.067 * * [simplify]: Extracting # 2 : cost  0
9.067 * * [simplify]: Extracting # 3 : cost  0
9.067 * * [simplify]: Extracting # 4 : cost  0
9.067 * * [simplify]: Extracting # 5 : cost  0
9.067 * * [simplify]: Extracting # 6 : cost  0
9.068 * * [simplify]: Extracting # 7 : cost  0
9.068 * * [simplify]: Extracting # 8 : cost  0
9.068 * * [simplify]: Extracting # 9 : cost  0
9.068 * * [simplify]: iteration  0 :  83  enodes  (cost  1331 )
9.103 * * [simplify]: Extracting # 0 : cost  0
9.104 * * [simplify]: Extracting # 1 : cost  0
9.104 * * [simplify]: Extracting # 2 : cost  0
9.105 * * [simplify]: Extracting # 3 : cost  0
9.105 * * [simplify]: Extracting # 4 : cost  0
9.106 * * [simplify]: iteration  1 :  223  enodes  (cost  1219 )
9.229 * * [simplify]: Extracting # 0 : cost  0
9.230 * * [simplify]: Extracting # 1 : cost  0
9.232 * * [simplify]: Extracting # 2 : cost  0
9.233 * * [simplify]: Extracting # 3 : cost  0
9.234 * * [simplify]: Extracting # 4 : cost  0
9.236 * * [simplify]: iteration  2 :  640  enodes  (cost  1087 )
9.654 * * [simplify]: Extracting # 0 : cost  0
9.656 * * [simplify]: Extracting # 1 : cost  0
9.659 * * [simplify]: Extracting # 2 : cost  0
9.661 * * [simplify]: Extracting # 3 : cost  0
9.663 * * [simplify]: Extracting # 4 : cost  0
9.665 * * [simplify]: iteration  3 :  1981  enodes  (cost  1046 )
10.872 * * [simplify]: Extracting # 0 : cost  0
10.885 * * [simplify]: Extracting # 1 : cost  0
10.896 * * [simplify]: Extracting # 2 : cost  0
10.908 * * [simplify]: Extracting # 3 : cost  0
10.918 * * [simplify]: Extracting # 4 : cost  0
10.931 * * [simplify]: iteration done:  5000  enodes  (cost  1024 )
10.931 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (- (pow im 4) (* (* re re) (* im im))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (- (pow im 4) (* (* re re) (* im im))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (- (pow im 4) (* (* re re) (* im im))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (log (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (exp (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))
  (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (pow (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re) 3)
  (sqrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (+ (pow (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3))
  (- (* re re) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (- (* re (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))))))
  (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (+ (* (* (* re re) (cbrt (/ 1 (pow im 4)))) 1/3) (cbrt (* im im)))))
  (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (cbrt (pow re 2))) re)
  (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (cbrt (pow re 2))) re)
10.932 * * * [progress]: adding candidates to table
11.470 * [progress]: [Phase 3 of 3] Extracting.
11.470 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.475 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
11.475 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.560 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (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 0))))>)
11.602 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.690 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.750 * * * [regime]: Found split indices: #<option (#s(si 1 121) #s(si 3 223) #s(si 7 255))>
11.751 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.935 * [regimes]: Found splitpoints: (#s(sp 1 re 4.00321890872775e-310) #s(sp 3 re 8.148041992667695e+135) #s(sp 7 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt im))) (sqrt (cbrt (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 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.936 * [simplify]: Simplifying:
  (if (<= re 4.00321890872775e-310) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 8.148041992667695e+135) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
11.936 * * [simplify]: Extracting # 0 : cost  0
11.936 * * [simplify]: Extracting # 1 : cost  0
11.936 * * [simplify]: Extracting # 2 : cost  0
11.936 * * [simplify]: Extracting # 3 : cost  0
11.936 * * [simplify]: Extracting # 4 : cost  0
11.936 * * [simplify]: Extracting # 5 : cost  0
11.936 * * [simplify]: Extracting # 6 : cost  0
11.936 * * [simplify]: Extracting # 7 : cost  0
11.937 * * [simplify]: Extracting # 8 : cost  0
11.937 * * [simplify]: Extracting # 9 : cost  0
11.937 * * [simplify]: Extracting # 10 : cost  0
11.937 * * [simplify]: Extracting # 11 : cost  0
11.937 * * [simplify]: Extracting # 12 : cost  0
11.937 * * [simplify]: Extracting # 13 : cost  0
11.937 * * [simplify]: Extracting # 14 : cost  0
11.937 * * [simplify]: Extracting # 15 : cost  0
11.937 * * [simplify]: Extracting # 16 : cost  0
11.937 * * [simplify]: iteration  0 :  33  enodes  (cost  66 )
11.940 * * [simplify]: Extracting # 0 : cost  0
11.940 * * [simplify]: iteration  1 :  42  enodes  (cost  66 )
11.945 * * [simplify]: Extracting # 0 : cost  0
11.945 * * [simplify]: iteration done:  42  enodes  (cost  66 )
11.945 * [simplify]: Simplified to:
  (if (<= re 4.00321890872775e-310) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 8.148041992667695e+135) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
15.136 * [regime-testing]: Baseline error score: 39.472559944449884
15.138 * [regime-testing]: Oracle error score: 17.762124478885262
15.144 * [regime-testing]: End program error score: 26.51998691021393
15.219 * [regime-testing]: Target error score: 33.74875140290767