35.433 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.059 * * * [progress]: [2/2] Setting up program.
0.064 * [progress]: [Phase 2 of 3] Improving.
0.065 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.065 * * [simplify]: Extracting # 0 : cost  0
0.065 * * [simplify]: Extracting # 1 : cost  0
0.065 * * [simplify]: Extracting # 2 : cost  0
0.065 * * [simplify]: Extracting # 3 : cost  0
0.065 * * [simplify]: Extracting # 4 : cost  0
0.065 * * [simplify]: Extracting # 5 : cost  0
0.065 * * [simplify]: Extracting # 6 : cost  0
0.065 * * [simplify]: Extracting # 7 : cost  0
0.065 * * [simplify]: Extracting # 8 : cost  0
0.065 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.070 * * [simplify]: Extracting # 0 : cost  0
0.070 * * [simplify]: Extracting # 1 : cost  0
0.070 * * [simplify]: Extracting # 2 : cost  0
0.070 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.078 * * [simplify]: Extracting # 0 : cost  0
0.078 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.085 * * [simplify]: Extracting # 0 : cost  0
0.085 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.085 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.086 * * [progress]: iteration 1 / 4
0.086 * * * [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
0.115 * * * [progress]: generating rewritten candidates
0.115 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.132 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.191 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.240 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.259 * * * [progress]: generating series expansions
0.259 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.259 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.259 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.259 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.260 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.260 * [taylor]: Taking taylor expansion of re in im
0.260 * [backup-simplify]: Simplify re into re
0.260 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.260 * [taylor]: Taking taylor expansion of im in im
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.260 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.260 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.260 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.261 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.261 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.261 * [taylor]: Taking taylor expansion of re in re
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.262 * [taylor]: Taking taylor expansion of im in re
0.262 * [backup-simplify]: Simplify im into im
0.262 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.262 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.262 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.262 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.263 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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
0.263 * [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 (+ 0 (pow im 2)) into (pow im 2)
0.263 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.264 * [taylor]: Taking taylor expansion of im in im
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [taylor]: Taking taylor expansion of 0 in im
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (* 1 1) into 1
0.265 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.266 * [backup-simplify]: Simplify (+ 1 0) into 1
0.272 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.272 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.272 * [taylor]: Taking taylor expansion of 1/2 in im
0.272 * [backup-simplify]: Simplify 1/2 into 1/2
0.272 * [taylor]: Taking taylor expansion of im in im
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.274 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.274 * [taylor]: Taking taylor expansion of 0 in im
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.275 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.275 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.275 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.275 * [taylor]: Taking taylor expansion of im in im
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (* 1 1) into 1
0.276 * [backup-simplify]: Simplify (/ 1 1) into 1
0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.276 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.276 * [taylor]: Taking taylor expansion of re in im
0.276 * [backup-simplify]: Simplify re into re
0.276 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.276 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.276 * [backup-simplify]: Simplify (+ 1 0) into 1
0.276 * [backup-simplify]: Simplify (sqrt 1) into 1
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.278 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.278 * [taylor]: Taking taylor expansion of im in re
0.278 * [backup-simplify]: Simplify im into im
0.278 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.278 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.278 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.278 * [taylor]: Taking taylor expansion of re in re
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [backup-simplify]: Simplify (+ 0 1) into 1
0.279 * [backup-simplify]: Simplify (sqrt 1) into 1
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.281 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.281 * [taylor]: Taking taylor expansion of im in re
0.281 * [backup-simplify]: Simplify im into im
0.281 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.281 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.281 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.281 * [taylor]: Taking taylor expansion of re in re
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (* 1 1) into 1
0.282 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [backup-simplify]: Simplify (+ 0 1) into 1
0.282 * [backup-simplify]: Simplify (sqrt 1) into 1
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.284 * [taylor]: Taking taylor expansion of 1 in im
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [taylor]: Taking taylor expansion of 0 in im
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.286 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.286 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.286 * [taylor]: Taking taylor expansion of 1/2 in im
0.286 * [backup-simplify]: Simplify 1/2 into 1/2
0.286 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.286 * [taylor]: Taking taylor expansion of im in im
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (* 1 1) into 1
0.286 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.289 * [taylor]: Taking taylor expansion of 0 in im
0.289 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.291 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.291 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.291 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.291 * [taylor]: Taking taylor expansion of im in im
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (* 1 1) into 1
0.292 * [backup-simplify]: Simplify (/ 1 1) into 1
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.292 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.292 * [taylor]: Taking taylor expansion of re in im
0.292 * [backup-simplify]: Simplify re into re
0.292 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.292 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.292 * [backup-simplify]: Simplify (+ 1 0) into 1
0.293 * [backup-simplify]: Simplify (sqrt 1) into 1
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.296 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.296 * [taylor]: Taking taylor expansion of im in re
0.296 * [backup-simplify]: Simplify im into im
0.296 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.296 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.296 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.296 * [taylor]: Taking taylor expansion of re in re
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.297 * [backup-simplify]: Simplify (/ 1 1) into 1
0.297 * [backup-simplify]: Simplify (+ 0 1) into 1
0.298 * [backup-simplify]: Simplify (sqrt 1) into 1
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.300 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.300 * [taylor]: Taking taylor expansion of im in re
0.300 * [backup-simplify]: Simplify im into im
0.300 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.301 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.301 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.301 * [taylor]: Taking taylor expansion of re in re
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (* 1 1) into 1
0.302 * [backup-simplify]: Simplify (/ 1 1) into 1
0.302 * [backup-simplify]: Simplify (+ 0 1) into 1
0.302 * [backup-simplify]: Simplify (sqrt 1) into 1
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.305 * [taylor]: Taking taylor expansion of 1 in im
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [taylor]: Taking taylor expansion of 0 in im
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.309 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.309 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.309 * [taylor]: Taking taylor expansion of 1/2 in im
0.309 * [backup-simplify]: Simplify 1/2 into 1/2
0.309 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.309 * [taylor]: Taking taylor expansion of im in im
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (* 1 1) into 1
0.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.315 * [taylor]: Taking taylor expansion of 0 in im
0.315 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.317 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.317 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.317 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.317 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.317 * [taylor]: Taking taylor expansion of re in im
0.317 * [backup-simplify]: Simplify re into re
0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.317 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.317 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.317 * [taylor]: Taking taylor expansion of re in im
0.317 * [backup-simplify]: Simplify re into re
0.317 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.317 * [taylor]: Taking taylor expansion of im in im
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.317 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.317 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.317 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.318 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.318 * [taylor]: Taking taylor expansion of re in re
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.318 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.318 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.318 * [taylor]: Taking taylor expansion of re in re
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.318 * [taylor]: Taking taylor expansion of im in re
0.318 * [backup-simplify]: Simplify im into im
0.318 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.318 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.318 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.318 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.319 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.319 * [taylor]: Taking taylor expansion of re in re
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.319 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.319 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.319 * [taylor]: Taking taylor expansion of re in re
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.319 * [taylor]: Taking taylor expansion of im in re
0.319 * [backup-simplify]: Simplify im into im
0.319 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.319 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.319 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.319 * [backup-simplify]: Simplify (+ 0 im) into im
0.319 * [taylor]: Taking taylor expansion of im in im
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (+ 1 0) into 1
0.320 * [taylor]: Taking taylor expansion of 1 in im
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (* 1 1) into 1
0.320 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.321 * [backup-simplify]: Simplify (+ 1 0) into 1
0.321 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.321 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.321 * [taylor]: Taking taylor expansion of 1/2 in im
0.321 * [backup-simplify]: Simplify 1/2 into 1/2
0.321 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.321 * [taylor]: Taking taylor expansion of im in im
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (/ 1 1) into 1
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.323 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [taylor]: Taking taylor expansion of 0 in im
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [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
0.326 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re)
0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.326 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.326 * [taylor]: Taking taylor expansion of im in im
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [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)
0.326 * [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
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.328 * [taylor]: Taking taylor expansion of re in re
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (/ 1 1) into 1
0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.329 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.329 * [taylor]: Taking taylor expansion of im in re
0.329 * [backup-simplify]: Simplify im into im
0.329 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.329 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.329 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.329 * [taylor]: Taking taylor expansion of re in re
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (* 1 1) into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [backup-simplify]: Simplify (+ 0 1) into 1
0.330 * [backup-simplify]: Simplify (sqrt 1) into 1
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.332 * [taylor]: Taking taylor expansion of re in re
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.332 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.332 * [taylor]: Taking taylor expansion of im in re
0.332 * [backup-simplify]: Simplify im into im
0.332 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.332 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.332 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.332 * [taylor]: Taking taylor expansion of re in re
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (* 1 1) into 1
0.333 * [backup-simplify]: Simplify (/ 1 1) into 1
0.333 * [backup-simplify]: Simplify (+ 0 1) into 1
0.333 * [backup-simplify]: Simplify (sqrt 1) into 1
0.334 * [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 * [backup-simplify]: Simplify (+ 1 1) into 2
0.335 * [taylor]: Taking taylor expansion of 2 in im
0.335 * [backup-simplify]: Simplify 2 into 2
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.336 * [taylor]: Taking taylor expansion of 0 in im
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 2 into 2
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.339 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.339 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.339 * [taylor]: Taking taylor expansion of 1/2 in im
0.339 * [backup-simplify]: Simplify 1/2 into 1/2
0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.339 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.339 * [taylor]: Taking taylor expansion of im in im
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify (* 1 1) into 1
0.339 * [backup-simplify]: Simplify (/ 1 1) into 1
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [taylor]: Taking taylor expansion of 0 in im
0.344 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.347 * [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))
0.347 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.348 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.348 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.348 * [taylor]: Taking taylor expansion of im in im
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (* 1 1) into 1
0.349 * [backup-simplify]: Simplify (/ 1 1) into 1
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.349 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.349 * [taylor]: Taking taylor expansion of re in im
0.349 * [backup-simplify]: Simplify re into re
0.349 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.349 * [backup-simplify]: Simplify (+ 1 0) into 1
0.350 * [backup-simplify]: Simplify (sqrt 1) into 1
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ 0 0) into 0
0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.352 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.352 * [taylor]: Taking taylor expansion of re in im
0.352 * [backup-simplify]: Simplify re into re
0.352 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.353 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.353 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.353 * [taylor]: Taking taylor expansion of im in re
0.353 * [backup-simplify]: Simplify im into im
0.353 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.353 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.353 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.353 * [taylor]: Taking taylor expansion of re in re
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (* 1 1) into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.354 * [backup-simplify]: Simplify (+ 0 1) into 1
0.355 * [backup-simplify]: Simplify (sqrt 1) into 1
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.357 * [taylor]: Taking taylor expansion of re in re
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.358 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.358 * [taylor]: Taking taylor expansion of im in re
0.358 * [backup-simplify]: Simplify im into im
0.358 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.358 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.358 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.358 * [taylor]: Taking taylor expansion of re in re
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (* 1 1) into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.360 * [backup-simplify]: Simplify (+ 0 1) into 1
0.360 * [backup-simplify]: Simplify (sqrt 1) into 1
0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.362 * [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 re
0.362 * [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
0.363 * [backup-simplify]: Simplify (- 1) into -1
0.364 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.364 * [taylor]: Taking taylor expansion of 0 in im
0.364 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (- 0) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [taylor]: Taking taylor expansion of 0 in im
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.369 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (- 0) into 0
0.370 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.371 * [taylor]: Taking taylor expansion of 1/2 in im
0.371 * [backup-simplify]: Simplify 1/2 into 1/2
0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.371 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.371 * [taylor]: Taking taylor expansion of im in im
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify (* 1 1) into 1
0.371 * [backup-simplify]: Simplify (/ 1 1) into 1
0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ 0 0) into 0
0.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (- 0) into 0
0.379 * [backup-simplify]: Simplify (+ 0 0) into 0
0.379 * [taylor]: Taking taylor expansion of 0 in im
0.379 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.383 * [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))))))
0.383 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.383 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.383 * [taylor]: Taking taylor expansion of 2.0 in im
0.383 * [backup-simplify]: Simplify 2.0 into 2.0
0.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.384 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.384 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.384 * [taylor]: Taking taylor expansion of re in im
0.384 * [backup-simplify]: Simplify re into re
0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.384 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.384 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.384 * [taylor]: Taking taylor expansion of re in im
0.384 * [backup-simplify]: Simplify re into re
0.384 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.384 * [taylor]: Taking taylor expansion of im in im
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.384 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.384 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.384 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.385 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.385 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.385 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.385 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.385 * [taylor]: Taking taylor expansion of 2.0 in re
0.385 * [backup-simplify]: Simplify 2.0 into 2.0
0.386 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.386 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.386 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.386 * [taylor]: Taking taylor expansion of re in re
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 1 into 1
0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.386 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.386 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.386 * [taylor]: Taking taylor expansion of re in re
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 1 into 1
0.386 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.386 * [taylor]: Taking taylor expansion of im in re
0.386 * [backup-simplify]: Simplify im into im
0.386 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.386 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.386 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.387 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.387 * [backup-simplify]: Simplify (+ 0 im) into im
0.387 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.387 * [backup-simplify]: Simplify (+ 1 0) into 1
0.387 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.387 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.387 * [taylor]: Taking taylor expansion of 2.0 in re
0.387 * [backup-simplify]: Simplify 2.0 into 2.0
0.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.388 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.388 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.388 * [taylor]: Taking taylor expansion of re in re
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.388 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.388 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.388 * [taylor]: Taking taylor expansion of re in re
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.388 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.388 * [taylor]: Taking taylor expansion of im in re
0.388 * [backup-simplify]: Simplify im into im
0.388 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.388 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.389 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.389 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.389 * [backup-simplify]: Simplify (+ 0 0) into 0
0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.389 * [backup-simplify]: Simplify (+ 0 im) into im
0.389 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.389 * [backup-simplify]: Simplify (+ 1 0) into 1
0.389 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.390 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.390 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.390 * [taylor]: Taking taylor expansion of 2.0 in im
0.390 * [backup-simplify]: Simplify 2.0 into 2.0
0.393 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.393 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.393 * [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 (sqrt 0) into 0
0.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.395 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.395 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.395 * [taylor]: Taking taylor expansion of 1/2 in im
0.395 * [backup-simplify]: Simplify 1/2 into 1/2
0.395 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.396 * [taylor]: Taking taylor expansion of 2.0 in im
0.396 * [backup-simplify]: Simplify 2.0 into 2.0
0.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.396 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.396 * [taylor]: Taking taylor expansion of im in im
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 1 into 1
0.397 * [backup-simplify]: Simplify (/ 1 1) into 1
0.397 * [backup-simplify]: Simplify (sqrt 0) into 0
0.398 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.399 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.399 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.401 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.402 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.403 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.404 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.405 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.405 * [backup-simplify]: Simplify (+ 1 0) into 1
0.406 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.406 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.406 * [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))))
0.407 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.407 * [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)))))
0.407 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.407 * [taylor]: Taking taylor expansion of 1/8 in im
0.407 * [backup-simplify]: Simplify 1/8 into 1/8
0.407 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.407 * [taylor]: Taking taylor expansion of 2.0 in im
0.407 * [backup-simplify]: Simplify 2.0 into 2.0
0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.408 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.408 * [taylor]: Taking taylor expansion of im in im
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 1 into 1
0.409 * [backup-simplify]: Simplify (* 1 1) into 1
0.409 * [backup-simplify]: Simplify (* 1 1) into 1
0.409 * [backup-simplify]: Simplify (/ 1 1) into 1
0.409 * [backup-simplify]: Simplify (sqrt 0) into 0
0.410 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.414 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.415 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.417 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.417 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.422 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.424 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.428 * [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)))))))
0.429 * [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)))))))
0.429 * [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
0.429 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.429 * [taylor]: Taking taylor expansion of 2.0 in im
0.429 * [backup-simplify]: Simplify 2.0 into 2.0
0.429 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.430 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.430 * [taylor]: Taking taylor expansion of re in im
0.430 * [backup-simplify]: Simplify re into re
0.430 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.431 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.431 * [taylor]: Taking taylor expansion of im in im
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify 1 into 1
0.431 * [backup-simplify]: Simplify (* 1 1) into 1
0.431 * [backup-simplify]: Simplify (/ 1 1) into 1
0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.432 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.432 * [taylor]: Taking taylor expansion of re in im
0.432 * [backup-simplify]: Simplify re into re
0.432 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.432 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.433 * [backup-simplify]: Simplify (+ 1 0) into 1
0.433 * [backup-simplify]: Simplify (sqrt 1) into 1
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (+ 0 0) into 0
0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.436 * [backup-simplify]: Simplify (+ 0 1) into 1
0.436 * [backup-simplify]: Simplify (sqrt 0) into 0
0.437 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.437 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.438 * [taylor]: Taking taylor expansion of 2.0 in re
0.438 * [backup-simplify]: Simplify 2.0 into 2.0
0.438 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.439 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.439 * [taylor]: Taking taylor expansion of re in re
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (/ 1 1) into 1
0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.439 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.439 * [taylor]: Taking taylor expansion of im in re
0.439 * [backup-simplify]: Simplify im into im
0.439 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.440 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.440 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.440 * [taylor]: Taking taylor expansion of re in re
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify 1 into 1
0.440 * [backup-simplify]: Simplify (* 1 1) into 1
0.440 * [backup-simplify]: Simplify (/ 1 1) into 1
0.441 * [backup-simplify]: Simplify (+ 0 1) into 1
0.441 * [backup-simplify]: Simplify (sqrt 1) into 1
0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.443 * [backup-simplify]: Simplify (+ 0 0) into 0
0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.444 * [backup-simplify]: Simplify (+ 1 1) into 2
0.444 * [backup-simplify]: Simplify (sqrt 0) into 0
0.445 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.446 * [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)
0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.447 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [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
0.448 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.448 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.448 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.448 * [taylor]: Taking taylor expansion of re in re
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [backup-simplify]: Simplify (* 1 1) into 1
0.449 * [backup-simplify]: Simplify (/ 1 1) into 1
0.449 * [backup-simplify]: Simplify (+ 0 1) into 1
0.449 * [backup-simplify]: Simplify (sqrt 1) into 1
0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (+ 0 0) into 0
0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.452 * [backup-simplify]: Simplify (+ 1 1) into 2
0.453 * [backup-simplify]: Simplify (sqrt 0) into 0
0.454 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.454 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.454 * [taylor]: Taking taylor expansion of 0 in im
0.454 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.456 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.456 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.456 * [taylor]: Taking taylor expansion of +nan.0 in im
0.456 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.456 * [taylor]: Taking taylor expansion of 2.0 in im
0.456 * [backup-simplify]: Simplify 2.0 into 2.0
0.457 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ 0 0) into 0
0.459 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.461 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.461 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.462 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.462 * [taylor]: Taking taylor expansion of +nan.0 in im
0.462 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.462 * [taylor]: Taking taylor expansion of 2.0 in im
0.462 * [backup-simplify]: Simplify 2.0 into 2.0
0.462 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.463 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.464 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.465 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.467 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.467 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.468 * [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))
0.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.470 * [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)))))
0.470 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.470 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.470 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.470 * [taylor]: Taking taylor expansion of +nan.0 in im
0.470 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.470 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.470 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.470 * [taylor]: Taking taylor expansion of 2.0 in im
0.470 * [backup-simplify]: Simplify 2.0 into 2.0
0.471 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.471 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.471 * [taylor]: Taking taylor expansion of im in im
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [backup-simplify]: Simplify (* 1 1) into 1
0.472 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.472 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.472 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.472 * [taylor]: Taking taylor expansion of +nan.0 in im
0.472 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.472 * [taylor]: Taking taylor expansion of 2.0 in im
0.472 * [backup-simplify]: Simplify 2.0 into 2.0
0.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.474 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.474 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [backup-simplify]: Simplify (- 0) into 0
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.476 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.477 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.477 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.478 * [backup-simplify]: Simplify (- 0) into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.478 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.481 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [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)))
0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.484 * [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)))))
0.484 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.484 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.484 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.484 * [taylor]: Taking taylor expansion of +nan.0 in im
0.484 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.484 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.484 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.484 * [taylor]: Taking taylor expansion of 2.0 in im
0.484 * [backup-simplify]: Simplify 2.0 into 2.0
0.484 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.485 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.485 * [taylor]: Taking taylor expansion of im in im
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify (* 1 1) into 1
0.487 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.487 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.487 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.487 * [taylor]: Taking taylor expansion of +nan.0 in im
0.487 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.487 * [taylor]: Taking taylor expansion of 2.0 in im
0.487 * [backup-simplify]: Simplify 2.0 into 2.0
0.487 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.491 * [backup-simplify]: Simplify (+ 0 0) into 0
0.491 * [backup-simplify]: Simplify (- 0) into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.497 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.498 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.500 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.507 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.509 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.514 * [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)))))))
0.515 * [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))))
0.515 * [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
0.515 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.515 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.515 * [taylor]: Taking taylor expansion of 2.0 in im
0.515 * [backup-simplify]: Simplify 2.0 into 2.0
0.515 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.516 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.516 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.516 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.516 * [taylor]: Taking taylor expansion of im in im
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [backup-simplify]: Simplify (* 1 1) into 1
0.517 * [backup-simplify]: Simplify (/ 1 1) into 1
0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.517 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.517 * [taylor]: Taking taylor expansion of re in im
0.517 * [backup-simplify]: Simplify re into re
0.518 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.518 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.518 * [backup-simplify]: Simplify (+ 1 0) into 1
0.519 * [backup-simplify]: Simplify (sqrt 1) into 1
0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (+ 0 0) into 0
0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.521 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.521 * [taylor]: Taking taylor expansion of re in im
0.521 * [backup-simplify]: Simplify re into re
0.521 * [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
0.524 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.524 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.524 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.524 * [taylor]: Taking taylor expansion of 2.0 in re
0.524 * [backup-simplify]: Simplify 2.0 into 2.0
0.524 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.525 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.525 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.525 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.525 * [taylor]: Taking taylor expansion of im in re
0.525 * [backup-simplify]: Simplify im into im
0.525 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.526 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.526 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.526 * [taylor]: Taking taylor expansion of re in re
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (/ 1 1) into 1
0.527 * [backup-simplify]: Simplify (+ 0 1) into 1
0.527 * [backup-simplify]: Simplify (sqrt 1) into 1
0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (+ 0 0) into 0
0.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.530 * [taylor]: Taking taylor expansion of re in re
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.531 * [backup-simplify]: Simplify (- 1) into -1
0.531 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (- 0) into 0
0.533 * [backup-simplify]: Simplify (+ 0 0) into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.537 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (- 0) into 0
0.538 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.539 * [backup-simplify]: Simplify (sqrt 0) into 0
0.540 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.540 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.540 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.540 * [taylor]: Taking taylor expansion of 2.0 in re
0.540 * [backup-simplify]: Simplify 2.0 into 2.0
0.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.541 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.541 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.541 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.541 * [taylor]: Taking taylor expansion of im in re
0.541 * [backup-simplify]: Simplify im into im
0.541 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.542 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.542 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.542 * [taylor]: Taking taylor expansion of re in re
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify (* 1 1) into 1
0.542 * [backup-simplify]: Simplify (/ 1 1) into 1
0.543 * [backup-simplify]: Simplify (+ 0 1) into 1
0.543 * [backup-simplify]: Simplify (sqrt 1) into 1
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (+ 0 0) into 0
0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.546 * [taylor]: Taking taylor expansion of re in re
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify (/ 1 1) into 1
0.547 * [backup-simplify]: Simplify (- 1) into -1
0.547 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (- 0) into 0
0.549 * [backup-simplify]: Simplify (+ 0 0) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.552 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (- 0) into 0
0.554 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.554 * [backup-simplify]: Simplify (sqrt 0) into 0
0.555 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.555 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.555 * [taylor]: Taking taylor expansion of 0 in im
0.555 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.556 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.556 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.556 * [taylor]: Taking taylor expansion of +nan.0 in im
0.557 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.557 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.557 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.557 * [taylor]: Taking taylor expansion of 2.0 in im
0.557 * [backup-simplify]: Simplify 2.0 into 2.0
0.557 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.558 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.558 * [taylor]: Taking taylor expansion of im in im
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 1 into 1
0.558 * [backup-simplify]: Simplify (* 1 1) into 1
0.559 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.562 * [backup-simplify]: Simplify (- 0) into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (+ 0 0) into 0
0.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.567 * [backup-simplify]: Simplify (- 0) into 0
0.567 * [backup-simplify]: Simplify (+ 0 0) into 0
0.568 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.571 * [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))))
0.571 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.571 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.571 * [taylor]: Taking taylor expansion of +nan.0 in im
0.571 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.571 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.571 * [taylor]: Taking taylor expansion of 2.0 in im
0.571 * [backup-simplify]: Simplify 2.0 into 2.0
0.571 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.572 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.572 * [taylor]: Taking taylor expansion of im in im
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.573 * [backup-simplify]: Simplify (* 1 1) into 1
0.573 * [backup-simplify]: Simplify (* 1 1) into 1
0.574 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.587 * [backup-simplify]: Simplify (- 0) into 0
0.587 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.592 * [backup-simplify]: Simplify (- 0) into 0
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (+ 0 0) into 0
0.597 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.599 * [backup-simplify]: Simplify (- 0) into 0
0.599 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.600 * [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))))))
0.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.603 * [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))))))
0.603 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.603 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.603 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.603 * [taylor]: Taking taylor expansion of +nan.0 in im
0.603 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.603 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.603 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.603 * [taylor]: Taking taylor expansion of 2.0 in im
0.603 * [backup-simplify]: Simplify 2.0 into 2.0
0.604 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.605 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.605 * [taylor]: Taking taylor expansion of im in im
0.605 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify 1 into 1
0.605 * [backup-simplify]: Simplify (* 1 1) into 1
0.606 * [backup-simplify]: Simplify (* 1 1) into 1
0.607 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.607 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.607 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.607 * [taylor]: Taking taylor expansion of +nan.0 in im
0.607 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.607 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.607 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.607 * [taylor]: Taking taylor expansion of 2.0 in im
0.607 * [backup-simplify]: Simplify 2.0 into 2.0
0.607 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.608 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.608 * [taylor]: Taking taylor expansion of im in im
0.608 * [backup-simplify]: Simplify 0 into 0
0.608 * [backup-simplify]: Simplify 1 into 1
0.609 * [backup-simplify]: Simplify (* 1 1) into 1
0.609 * [backup-simplify]: Simplify (* 1 1) into 1
0.610 * [backup-simplify]: Simplify (* 1 1) into 1
0.610 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.624 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.627 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.651 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.652 * [backup-simplify]: Simplify (- 0) into 0
0.652 * [backup-simplify]: Simplify (+ 0 0) into 0
0.652 * [backup-simplify]: Simplify (- 0) into 0
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.653 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.653 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.653 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.653 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.653 * [taylor]: Taking taylor expansion of re in im
0.653 * [backup-simplify]: Simplify re into re
0.653 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.653 * [taylor]: Taking taylor expansion of im in im
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 1 into 1
0.653 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.653 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.653 * [taylor]: Taking taylor expansion of re in re
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 1 into 1
0.653 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.653 * [taylor]: Taking taylor expansion of im in re
0.653 * [backup-simplify]: Simplify im into im
0.653 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.653 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.653 * [taylor]: Taking taylor expansion of re in re
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 1 into 1
0.654 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.654 * [taylor]: Taking taylor expansion of im in re
0.654 * [backup-simplify]: Simplify im into im
0.654 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.654 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.654 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.654 * [taylor]: Taking taylor expansion of im in im
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 1 into 1
0.654 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.655 * [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 0 into 0
0.659 * [backup-simplify]: Simplify (* 1 1) into 1
0.660 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.661 * [backup-simplify]: Simplify (+ 1 0) into 1
0.661 * [taylor]: Taking taylor expansion of 1 in im
0.661 * [backup-simplify]: Simplify 1 into 1
0.661 * [backup-simplify]: Simplify 1 into 1
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify (* 1 1) into 1
0.661 * [backup-simplify]: Simplify 1 into 1
0.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.663 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.663 * [backup-simplify]: Simplify (+ 0 0) into 0
0.663 * [taylor]: Taking taylor expansion of 0 in im
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.666 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) 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
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.667 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.667 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.667 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.667 * [taylor]: Taking taylor expansion of im in im
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 1 into 1
0.668 * [backup-simplify]: Simplify (* 1 1) into 1
0.668 * [backup-simplify]: Simplify (/ 1 1) into 1
0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.668 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.668 * [taylor]: Taking taylor expansion of re in im
0.668 * [backup-simplify]: Simplify re into re
0.668 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.668 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.668 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.668 * [taylor]: Taking taylor expansion of im in re
0.668 * [backup-simplify]: Simplify im into im
0.668 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.668 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.669 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.669 * [taylor]: Taking taylor expansion of re in re
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
0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.669 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.669 * [taylor]: Taking taylor expansion of im in re
0.669 * [backup-simplify]: Simplify im into im
0.669 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.669 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.669 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.669 * [taylor]: Taking taylor expansion of re in re
0.669 * [backup-simplify]: Simplify 0 into 0
0.669 * [backup-simplify]: Simplify 1 into 1
0.670 * [backup-simplify]: Simplify (* 1 1) into 1
0.670 * [backup-simplify]: Simplify (/ 1 1) into 1
0.670 * [backup-simplify]: Simplify (+ 0 1) into 1
0.670 * [taylor]: Taking taylor expansion of 1 in im
0.670 * [backup-simplify]: Simplify 1 into 1
0.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.671 * [backup-simplify]: Simplify (+ 0 0) into 0
0.671 * [taylor]: Taking taylor expansion of 0 in im
0.671 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.672 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.672 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.672 * [taylor]: Taking taylor expansion of im in im
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 1 into 1
0.673 * [backup-simplify]: Simplify (* 1 1) into 1
0.673 * [backup-simplify]: Simplify (/ 1 1) into 1
0.673 * [backup-simplify]: Simplify 1 into 1
0.673 * [backup-simplify]: Simplify 1 into 1
0.673 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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
0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.677 * [backup-simplify]: Simplify (+ 0 0) into 0
0.678 * [taylor]: Taking taylor expansion of 0 in im
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.679 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.679 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.679 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.679 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.679 * [taylor]: Taking taylor expansion of im in im
0.679 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify 1 into 1
0.679 * [backup-simplify]: Simplify (* 1 1) into 1
0.680 * [backup-simplify]: Simplify (/ 1 1) into 1
0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.680 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.680 * [taylor]: Taking taylor expansion of re in im
0.680 * [backup-simplify]: Simplify re into re
0.680 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.680 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.680 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.680 * [taylor]: Taking taylor expansion of im in re
0.680 * [backup-simplify]: Simplify im into im
0.680 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.680 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.680 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.680 * [taylor]: Taking taylor expansion of re in re
0.680 * [backup-simplify]: Simplify 0 into 0
0.680 * [backup-simplify]: Simplify 1 into 1
0.681 * [backup-simplify]: Simplify (* 1 1) into 1
0.681 * [backup-simplify]: Simplify (/ 1 1) into 1
0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.681 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.681 * [taylor]: Taking taylor expansion of im in re
0.681 * [backup-simplify]: Simplify im into im
0.681 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.681 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.681 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.681 * [taylor]: Taking taylor expansion of re in re
0.681 * [backup-simplify]: Simplify 0 into 0
0.681 * [backup-simplify]: Simplify 1 into 1
0.681 * [backup-simplify]: Simplify (* 1 1) into 1
0.682 * [backup-simplify]: Simplify (/ 1 1) into 1
0.682 * [backup-simplify]: Simplify (+ 0 1) into 1
0.682 * [taylor]: Taking taylor expansion of 1 in im
0.682 * [backup-simplify]: Simplify 1 into 1
0.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.683 * [backup-simplify]: Simplify (+ 0 0) into 0
0.683 * [taylor]: Taking taylor expansion of 0 in im
0.683 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.684 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.684 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.684 * [taylor]: Taking taylor expansion of im in im
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify 1 into 1
0.684 * [backup-simplify]: Simplify (* 1 1) into 1
0.685 * [backup-simplify]: Simplify (/ 1 1) into 1
0.685 * [backup-simplify]: Simplify 1 into 1
0.685 * [backup-simplify]: Simplify 1 into 1
0.685 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 1)) into 0
0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.689 * [backup-simplify]: Simplify (+ 0 0) into 0
0.689 * [taylor]: Taking taylor expansion of 0 in im
0.689 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.690 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify 0 into 0
0.691 * [backup-simplify]: Simplify 0 into 0
0.691 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.691 * * * [progress]: simplifying candidates
0.692 * [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
0.694 * * [simplify]: Extracting # 6 : cost  0
0.694 * * [simplify]: Extracting # 7 : cost  0
0.694 * * [simplify]: Extracting # 8 : cost  0
0.695 * * [simplify]: Extracting # 9 : cost  0
0.695 * * [simplify]: Extracting # 10 : cost  0
0.695 * * [simplify]: Extracting # 11 : cost  0
0.695 * * [simplify]: iteration  0 :  108  enodes  (cost  888 )
0.726 * * [simplify]: Extracting # 0 : cost  0
0.726 * * [simplify]: Extracting # 1 : cost  0
0.726 * * [simplify]: Extracting # 2 : cost  0
0.727 * * [simplify]: Extracting # 3 : cost  0
0.727 * * [simplify]: Extracting # 4 : cost  0
0.727 * * [simplify]: iteration  1 :  271  enodes  (cost  774 )
0.868 * * [simplify]: Extracting # 0 : cost  0
0.870 * * [simplify]: Extracting # 1 : cost  0
0.871 * * [simplify]: Extracting # 2 : cost  0
0.873 * * [simplify]: Extracting # 3 : cost  0
0.874 * * [simplify]: Extracting # 4 : cost  0
0.876 * * [simplify]: iteration  2 :  755  enodes  (cost  698 )
1.277 * * [simplify]: Extracting # 0 : cost  0
1.279 * * [simplify]: Extracting # 1 : cost  0
1.283 * * [simplify]: Extracting # 2 : cost  0
1.286 * * [simplify]: Extracting # 3 : cost  0
1.290 * * [simplify]: Extracting # 4 : cost  0
1.294 * * [simplify]: iteration  3 :  2070  enodes  (cost  673 )
2.671 * * [simplify]: Extracting # 0 : cost  0
2.678 * * [simplify]: Extracting # 1 : cost  0
2.684 * * [simplify]: Extracting # 2 : cost  0
2.689 * * [simplify]: Extracting # 3 : cost  0
2.695 * * [simplify]: Extracting # 4 : cost  0
2.704 * * [simplify]: iteration done:  5000  enodes  (cost  668 )
2.705 * [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))
2.705 * * * [progress]: adding candidates to table
2.999 * * [progress]: iteration 2 / 4
2.999 * * * [progress]: picking best candidate
3.028 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.028 * * * [progress]: localizing error
3.056 * * * [progress]: generating rewritten candidates
3.056 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1)
3.068 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
3.076 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1)
3.132 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
3.163 * * * [progress]: generating series expansions
3.163 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1)
3.164 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.164 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.164 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.164 * [taylor]: Taking taylor expansion of re in im
3.164 * [backup-simplify]: Simplify re into re
3.164 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.164 * [taylor]: Taking taylor expansion of im in im
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 1 into 1
3.164 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.164 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.164 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.164 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.164 * [backup-simplify]: Simplify (+ 0 0) into 0
3.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.165 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.165 * [taylor]: Taking taylor expansion of re in re
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify 1 into 1
3.165 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.165 * [taylor]: Taking taylor expansion of im in re
3.165 * [backup-simplify]: Simplify im into im
3.165 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.165 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.165 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.165 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.165 * [backup-simplify]: Simplify (+ 0 0) into 0
3.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.165 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.166 * [taylor]: Taking taylor expansion of re in re
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify 1 into 1
3.166 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.166 * [taylor]: Taking taylor expansion of im in re
3.166 * [backup-simplify]: Simplify im into im
3.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.166 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.166 * [backup-simplify]: Simplify (+ 0 0) into 0
3.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.166 * [taylor]: Taking taylor expansion of im in im
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify 1 into 1
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [taylor]: Taking taylor expansion of 0 in im
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify 1 into 1
3.167 * [backup-simplify]: Simplify (* 1 1) into 1
3.167 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.167 * [backup-simplify]: Simplify (+ 1 0) into 1
3.168 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.168 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.168 * [taylor]: Taking taylor expansion of 1/2 in im
3.168 * [backup-simplify]: Simplify 1/2 into 1/2
3.168 * [taylor]: Taking taylor expansion of im in im
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 1 into 1
3.168 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.169 * [backup-simplify]: Simplify 0 into 0
3.169 * [backup-simplify]: Simplify 0 into 0
3.169 * [backup-simplify]: Simplify 0 into 0
3.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.170 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.170 * [backup-simplify]: Simplify (+ 0 0) into 0
3.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.170 * [taylor]: Taking taylor expansion of 0 in im
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.171 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.171 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.171 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.171 * [taylor]: Taking taylor expansion of im in im
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 1 into 1
3.171 * [backup-simplify]: Simplify (* 1 1) into 1
3.171 * [backup-simplify]: Simplify (/ 1 1) into 1
3.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.171 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.172 * [taylor]: Taking taylor expansion of re in im
3.172 * [backup-simplify]: Simplify re into re
3.172 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.172 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.172 * [backup-simplify]: Simplify (+ 1 0) into 1
3.172 * [backup-simplify]: Simplify (sqrt 1) into 1
3.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.173 * [backup-simplify]: Simplify (+ 0 0) into 0
3.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.174 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.174 * [taylor]: Taking taylor expansion of im in re
3.174 * [backup-simplify]: Simplify im into im
3.174 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.174 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.174 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.174 * [taylor]: Taking taylor expansion of re in re
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 1 into 1
3.174 * [backup-simplify]: Simplify (* 1 1) into 1
3.175 * [backup-simplify]: Simplify (/ 1 1) into 1
3.175 * [backup-simplify]: Simplify (+ 0 1) into 1
3.175 * [backup-simplify]: Simplify (sqrt 1) into 1
3.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.176 * [backup-simplify]: Simplify (+ 0 0) into 0
3.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.177 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.177 * [taylor]: Taking taylor expansion of im in re
3.177 * [backup-simplify]: Simplify im into im
3.177 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.177 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.177 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.177 * [taylor]: Taking taylor expansion of re in re
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 1 into 1
3.177 * [backup-simplify]: Simplify (* 1 1) into 1
3.177 * [backup-simplify]: Simplify (/ 1 1) into 1
3.178 * [backup-simplify]: Simplify (+ 0 1) into 1
3.178 * [backup-simplify]: Simplify (sqrt 1) into 1
3.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.179 * [backup-simplify]: Simplify (+ 0 0) into 0
3.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.179 * [taylor]: Taking taylor expansion of 1 in im
3.179 * [backup-simplify]: Simplify 1 into 1
3.179 * [taylor]: Taking taylor expansion of 0 in im
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify 1 into 1
3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.181 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.181 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.181 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.181 * [taylor]: Taking taylor expansion of 1/2 in im
3.181 * [backup-simplify]: Simplify 1/2 into 1/2
3.181 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.182 * [taylor]: Taking taylor expansion of im in im
3.182 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify 1 into 1
3.182 * [backup-simplify]: Simplify (* 1 1) into 1
3.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.183 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.185 * [backup-simplify]: Simplify (+ 0 0) into 0
3.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.185 * [taylor]: Taking taylor expansion of 0 in im
3.185 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.187 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.187 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.187 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.187 * [taylor]: Taking taylor expansion of im in im
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 1 into 1
3.187 * [backup-simplify]: Simplify (* 1 1) into 1
3.187 * [backup-simplify]: Simplify (/ 1 1) into 1
3.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.187 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.187 * [taylor]: Taking taylor expansion of re in im
3.187 * [backup-simplify]: Simplify re into re
3.187 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.188 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.188 * [backup-simplify]: Simplify (+ 1 0) into 1
3.188 * [backup-simplify]: Simplify (sqrt 1) into 1
3.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.189 * [backup-simplify]: Simplify (+ 0 0) into 0
3.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.190 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.190 * [taylor]: Taking taylor expansion of im in re
3.190 * [backup-simplify]: Simplify im into im
3.190 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.190 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.190 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.190 * [taylor]: Taking taylor expansion of re in re
3.190 * [backup-simplify]: Simplify 0 into 0
3.190 * [backup-simplify]: Simplify 1 into 1
3.190 * [backup-simplify]: Simplify (* 1 1) into 1
3.191 * [backup-simplify]: Simplify (/ 1 1) into 1
3.191 * [backup-simplify]: Simplify (+ 0 1) into 1
3.191 * [backup-simplify]: Simplify (sqrt 1) into 1
3.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.196 * [backup-simplify]: Simplify (+ 0 0) into 0
3.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.197 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.197 * [taylor]: Taking taylor expansion of im in re
3.197 * [backup-simplify]: Simplify im into im
3.197 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.198 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.198 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.198 * [taylor]: Taking taylor expansion of re in re
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify 1 into 1
3.198 * [backup-simplify]: Simplify (* 1 1) into 1
3.199 * [backup-simplify]: Simplify (/ 1 1) into 1
3.199 * [backup-simplify]: Simplify (+ 0 1) into 1
3.199 * [backup-simplify]: Simplify (sqrt 1) into 1
3.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.201 * [backup-simplify]: Simplify (+ 0 0) into 0
3.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.202 * [taylor]: Taking taylor expansion of 1 in im
3.202 * [backup-simplify]: Simplify 1 into 1
3.202 * [taylor]: Taking taylor expansion of 0 in im
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.204 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.205 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.205 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.205 * [taylor]: Taking taylor expansion of 1/2 in im
3.205 * [backup-simplify]: Simplify 1/2 into 1/2
3.205 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.205 * [taylor]: Taking taylor expansion of im in im
3.205 * [backup-simplify]: Simplify 0 into 0
3.206 * [backup-simplify]: Simplify 1 into 1
3.206 * [backup-simplify]: Simplify (* 1 1) into 1
3.206 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.211 * [backup-simplify]: Simplify (+ 0 0) into 0
3.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.211 * [taylor]: Taking taylor expansion of 0 in im
3.211 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.214 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
3.214 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.214 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.214 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.214 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.214 * [taylor]: Taking taylor expansion of re in im
3.214 * [backup-simplify]: Simplify re into re
3.214 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.214 * [taylor]: Taking taylor expansion of im in im
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 1 into 1
3.214 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.214 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.214 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.215 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.215 * [backup-simplify]: Simplify (+ 0 0) into 0
3.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.215 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.215 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.215 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.215 * [taylor]: Taking taylor expansion of re in re
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 1 into 1
3.215 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.215 * [taylor]: Taking taylor expansion of im in re
3.215 * [backup-simplify]: Simplify im into im
3.215 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.216 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.216 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.216 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.216 * [backup-simplify]: Simplify (+ 0 0) into 0
3.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.216 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.216 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.216 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.217 * [taylor]: Taking taylor expansion of re in re
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 1 into 1
3.217 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.217 * [taylor]: Taking taylor expansion of im in re
3.217 * [backup-simplify]: Simplify im into im
3.217 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.217 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.217 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.217 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.217 * [backup-simplify]: Simplify (+ 0 0) into 0
3.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.218 * [taylor]: Taking taylor expansion of im in im
3.218 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify 1 into 1
3.218 * [backup-simplify]: Simplify 0 into 0
3.218 * [taylor]: Taking taylor expansion of 0 in im
3.218 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify 1 into 1
3.218 * [backup-simplify]: Simplify (* 1 1) into 1
3.219 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.219 * [backup-simplify]: Simplify (+ 1 0) into 1
3.220 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.220 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.220 * [taylor]: Taking taylor expansion of 1/2 in im
3.220 * [backup-simplify]: Simplify 1/2 into 1/2
3.220 * [taylor]: Taking taylor expansion of im in im
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify 1 into 1
3.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.223 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.223 * [backup-simplify]: Simplify (+ 0 0) into 0
3.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.223 * [taylor]: Taking taylor expansion of 0 in im
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify 0 into 0
3.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.224 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.225 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.225 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.225 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.225 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.225 * [taylor]: Taking taylor expansion of im in im
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 1 into 1
3.226 * [backup-simplify]: Simplify (* 1 1) into 1
3.226 * [backup-simplify]: Simplify (/ 1 1) into 1
3.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.226 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.226 * [taylor]: Taking taylor expansion of re in im
3.226 * [backup-simplify]: Simplify re into re
3.226 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.226 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.227 * [backup-simplify]: Simplify (+ 1 0) into 1
3.227 * [backup-simplify]: Simplify (sqrt 1) into 1
3.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.229 * [backup-simplify]: Simplify (+ 0 0) into 0
3.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.230 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.230 * [taylor]: Taking taylor expansion of im in re
3.230 * [backup-simplify]: Simplify im into im
3.230 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.230 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.230 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.230 * [taylor]: Taking taylor expansion of re in re
3.230 * [backup-simplify]: Simplify 0 into 0
3.230 * [backup-simplify]: Simplify 1 into 1
3.231 * [backup-simplify]: Simplify (* 1 1) into 1
3.231 * [backup-simplify]: Simplify (/ 1 1) into 1
3.231 * [backup-simplify]: Simplify (+ 0 1) into 1
3.232 * [backup-simplify]: Simplify (sqrt 1) into 1
3.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.234 * [backup-simplify]: Simplify (+ 0 0) into 0
3.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.235 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.235 * [taylor]: Taking taylor expansion of im in re
3.235 * [backup-simplify]: Simplify im into im
3.235 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.235 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.235 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.235 * [taylor]: Taking taylor expansion of re in re
3.235 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify 1 into 1
3.235 * [backup-simplify]: Simplify (* 1 1) into 1
3.236 * [backup-simplify]: Simplify (/ 1 1) into 1
3.236 * [backup-simplify]: Simplify (+ 0 1) into 1
3.237 * [backup-simplify]: Simplify (sqrt 1) into 1
3.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.239 * [backup-simplify]: Simplify (+ 0 0) into 0
3.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.240 * [taylor]: Taking taylor expansion of 1 in im
3.240 * [backup-simplify]: Simplify 1 into 1
3.240 * [taylor]: Taking taylor expansion of 0 in im
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify 1 into 1
3.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.242 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.243 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.243 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.243 * [taylor]: Taking taylor expansion of 1/2 in im
3.243 * [backup-simplify]: Simplify 1/2 into 1/2
3.243 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.243 * [taylor]: Taking taylor expansion of im in im
3.243 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 1 into 1
3.244 * [backup-simplify]: Simplify (* 1 1) into 1
3.244 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.249 * [backup-simplify]: Simplify (+ 0 0) into 0
3.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.250 * [taylor]: Taking taylor expansion of 0 in im
3.250 * [backup-simplify]: Simplify 0 into 0
3.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.251 * [backup-simplify]: Simplify 0 into 0
3.251 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.252 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.252 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.252 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.252 * [taylor]: Taking taylor expansion of im in im
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 1 into 1
3.253 * [backup-simplify]: Simplify (* 1 1) into 1
3.253 * [backup-simplify]: Simplify (/ 1 1) into 1
3.253 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.253 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.253 * [taylor]: Taking taylor expansion of re in im
3.253 * [backup-simplify]: Simplify re into re
3.253 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.253 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.254 * [backup-simplify]: Simplify (+ 1 0) into 1
3.254 * [backup-simplify]: Simplify (sqrt 1) into 1
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.256 * [backup-simplify]: Simplify (+ 0 0) into 0
3.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.257 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.257 * [taylor]: Taking taylor expansion of im in re
3.257 * [backup-simplify]: Simplify im into im
3.257 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.257 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.257 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.257 * [taylor]: Taking taylor expansion of re in re
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify 1 into 1
3.258 * [backup-simplify]: Simplify (* 1 1) into 1
3.258 * [backup-simplify]: Simplify (/ 1 1) into 1
3.259 * [backup-simplify]: Simplify (+ 0 1) into 1
3.259 * [backup-simplify]: Simplify (sqrt 1) into 1
3.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.261 * [backup-simplify]: Simplify (+ 0 0) into 0
3.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.262 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.262 * [taylor]: Taking taylor expansion of im in re
3.262 * [backup-simplify]: Simplify im into im
3.262 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.262 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.262 * [taylor]: Taking taylor expansion of re in re
3.262 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify 1 into 1
3.263 * [backup-simplify]: Simplify (* 1 1) into 1
3.263 * [backup-simplify]: Simplify (/ 1 1) into 1
3.263 * [backup-simplify]: Simplify (+ 0 1) into 1
3.264 * [backup-simplify]: Simplify (sqrt 1) into 1
3.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.265 * [backup-simplify]: Simplify (+ 0 0) into 0
3.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.266 * [taylor]: Taking taylor expansion of 1 in im
3.266 * [backup-simplify]: Simplify 1 into 1
3.266 * [taylor]: Taking taylor expansion of 0 in im
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 1 into 1
3.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.268 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.270 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.270 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.270 * [taylor]: Taking taylor expansion of 1/2 in im
3.270 * [backup-simplify]: Simplify 1/2 into 1/2
3.270 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.270 * [taylor]: Taking taylor expansion of im in im
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify 1 into 1
3.270 * [backup-simplify]: Simplify (* 1 1) into 1
3.271 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.272 * [backup-simplify]: Simplify 0 into 0
3.272 * [backup-simplify]: Simplify 0 into 0
3.272 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.275 * [backup-simplify]: Simplify (+ 0 0) into 0
3.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.276 * [taylor]: Taking taylor expansion of 0 in im
3.276 * [backup-simplify]: Simplify 0 into 0
3.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify 0 into 0
3.279 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.279 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1)
3.279 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
3.279 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
3.279 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
3.279 * [taylor]: Taking taylor expansion of re in im
3.279 * [backup-simplify]: Simplify re into re
3.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.279 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.279 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.279 * [taylor]: Taking taylor expansion of re in im
3.279 * [backup-simplify]: Simplify re into re
3.279 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.279 * [taylor]: Taking taylor expansion of im in im
3.279 * [backup-simplify]: Simplify 0 into 0
3.279 * [backup-simplify]: Simplify 1 into 1
3.279 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.280 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.280 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.280 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.280 * [backup-simplify]: Simplify (+ 0 0) into 0
3.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.281 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.281 * [taylor]: Taking taylor expansion of re in re
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 1 into 1
3.281 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.281 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.281 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.281 * [taylor]: Taking taylor expansion of re in re
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 1 into 1
3.281 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.281 * [taylor]: Taking taylor expansion of im in re
3.281 * [backup-simplify]: Simplify im into im
3.281 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.281 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.281 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.281 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.282 * [backup-simplify]: Simplify (+ 0 0) into 0
3.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.282 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.282 * [taylor]: Taking taylor expansion of re in re
3.282 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify 1 into 1
3.282 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.282 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.282 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.282 * [taylor]: Taking taylor expansion of re in re
3.282 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify 1 into 1
3.282 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.282 * [taylor]: Taking taylor expansion of im in re
3.283 * [backup-simplify]: Simplify im into im
3.283 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.283 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.283 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.283 * [backup-simplify]: Simplify (+ 0 0) into 0
3.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.284 * [backup-simplify]: Simplify (+ 0 im) into im
3.284 * [taylor]: Taking taylor expansion of im in im
3.284 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify 1 into 1
3.284 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify (+ 1 0) into 1
3.284 * [taylor]: Taking taylor expansion of 1 in im
3.284 * [backup-simplify]: Simplify 1 into 1
3.284 * [backup-simplify]: Simplify 1 into 1
3.284 * [backup-simplify]: Simplify 1 into 1
3.285 * [backup-simplify]: Simplify (* 1 1) into 1
3.285 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.286 * [backup-simplify]: Simplify (+ 1 0) into 1
3.287 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.287 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.287 * [taylor]: Taking taylor expansion of 1/2 in im
3.287 * [backup-simplify]: Simplify 1/2 into 1/2
3.287 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.287 * [taylor]: Taking taylor expansion of im in im
3.287 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify 1 into 1
3.287 * [backup-simplify]: Simplify (/ 1 1) into 1
3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 0 into 0
3.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.291 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.291 * [backup-simplify]: Simplify (+ 0 0) into 0
3.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.292 * [backup-simplify]: Simplify (+ 0 0) into 0
3.292 * [taylor]: Taking taylor expansion of 0 in im
3.292 * [backup-simplify]: Simplify 0 into 0
3.292 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.294 * [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)))))
3.294 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.294 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.294 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.294 * [taylor]: Taking taylor expansion of re in im
3.295 * [backup-simplify]: Simplify re into re
3.295 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.295 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.295 * [taylor]: Taking taylor expansion of im in im
3.295 * [backup-simplify]: Simplify 0 into 0
3.295 * [backup-simplify]: Simplify 1 into 1
3.295 * [backup-simplify]: Simplify (* 1 1) into 1
3.296 * [backup-simplify]: Simplify (/ 1 1) into 1
3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.296 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.296 * [taylor]: Taking taylor expansion of re in im
3.296 * [backup-simplify]: Simplify re into re
3.296 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.296 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.296 * [backup-simplify]: Simplify (+ 1 0) into 1
3.297 * [backup-simplify]: Simplify (sqrt 1) into 1
3.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.299 * [backup-simplify]: Simplify (+ 0 0) into 0
3.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.299 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.300 * [taylor]: Taking taylor expansion of re in re
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 1 into 1
3.300 * [backup-simplify]: Simplify (/ 1 1) into 1
3.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.300 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.300 * [taylor]: Taking taylor expansion of im in re
3.300 * [backup-simplify]: Simplify im into im
3.300 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.301 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.301 * [taylor]: Taking taylor expansion of re in re
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [backup-simplify]: Simplify (* 1 1) into 1
3.301 * [backup-simplify]: Simplify (/ 1 1) into 1
3.302 * [backup-simplify]: Simplify (+ 0 1) into 1
3.302 * [backup-simplify]: Simplify (sqrt 1) into 1
3.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.304 * [backup-simplify]: Simplify (+ 0 0) into 0
3.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.305 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.305 * [taylor]: Taking taylor expansion of re in re
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 1 into 1
3.305 * [backup-simplify]: Simplify (/ 1 1) into 1
3.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.305 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.305 * [taylor]: Taking taylor expansion of im in re
3.305 * [backup-simplify]: Simplify im into im
3.306 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.306 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.306 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.306 * [taylor]: Taking taylor expansion of re in re
3.306 * [backup-simplify]: Simplify 0 into 0
3.306 * [backup-simplify]: Simplify 1 into 1
3.306 * [backup-simplify]: Simplify (* 1 1) into 1
3.307 * [backup-simplify]: Simplify (/ 1 1) into 1
3.307 * [backup-simplify]: Simplify (+ 0 1) into 1
3.307 * [backup-simplify]: Simplify (sqrt 1) into 1
3.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.309 * [backup-simplify]: Simplify (+ 0 0) into 0
3.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.310 * [backup-simplify]: Simplify (+ 1 1) into 2
3.310 * [taylor]: Taking taylor expansion of 2 in im
3.310 * [backup-simplify]: Simplify 2 into 2
3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.312 * [backup-simplify]: Simplify (+ 0 0) into 0
3.312 * [taylor]: Taking taylor expansion of 0 in im
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [backup-simplify]: Simplify 2 into 2
3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.315 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.316 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.316 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.316 * [taylor]: Taking taylor expansion of 1/2 in im
3.316 * [backup-simplify]: Simplify 1/2 into 1/2
3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.316 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.316 * [taylor]: Taking taylor expansion of im in im
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 1 into 1
3.317 * [backup-simplify]: Simplify (* 1 1) into 1
3.317 * [backup-simplify]: Simplify (/ 1 1) into 1
3.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.323 * [backup-simplify]: Simplify (+ 0 0) into 0
3.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.324 * [backup-simplify]: Simplify (+ 0 0) into 0
3.324 * [taylor]: Taking taylor expansion of 0 in im
3.324 * [backup-simplify]: Simplify 0 into 0
3.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.328 * [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))
3.328 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.328 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.328 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.328 * [taylor]: Taking taylor expansion of im in im
3.328 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (* 1 1) into 1
3.329 * [backup-simplify]: Simplify (/ 1 1) into 1
3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.329 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.329 * [taylor]: Taking taylor expansion of re in im
3.329 * [backup-simplify]: Simplify re into re
3.329 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.330 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.330 * [backup-simplify]: Simplify (+ 1 0) into 1
3.330 * [backup-simplify]: Simplify (sqrt 1) into 1
3.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.332 * [backup-simplify]: Simplify (+ 0 0) into 0
3.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.332 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.332 * [taylor]: Taking taylor expansion of re in im
3.332 * [backup-simplify]: Simplify re into re
3.332 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.332 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.333 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.333 * [taylor]: Taking taylor expansion of im in re
3.333 * [backup-simplify]: Simplify im into im
3.333 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.333 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.333 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.333 * [taylor]: Taking taylor expansion of re in re
3.333 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify 1 into 1
3.333 * [backup-simplify]: Simplify (* 1 1) into 1
3.333 * [backup-simplify]: Simplify (/ 1 1) into 1
3.334 * [backup-simplify]: Simplify (+ 0 1) into 1
3.334 * [backup-simplify]: Simplify (sqrt 1) into 1
3.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.335 * [backup-simplify]: Simplify (+ 0 0) into 0
3.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.335 * [taylor]: Taking taylor expansion of re in re
3.335 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify 1 into 1
3.335 * [backup-simplify]: Simplify (/ 1 1) into 1
3.335 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.336 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.336 * [taylor]: Taking taylor expansion of im in re
3.336 * [backup-simplify]: Simplify im into im
3.336 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.336 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.336 * [taylor]: Taking taylor expansion of re in re
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 1 into 1
3.336 * [backup-simplify]: Simplify (* 1 1) into 1
3.336 * [backup-simplify]: Simplify (/ 1 1) into 1
3.337 * [backup-simplify]: Simplify (+ 0 1) into 1
3.337 * [backup-simplify]: Simplify (sqrt 1) into 1
3.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.338 * [backup-simplify]: Simplify (+ 0 0) into 0
3.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.338 * [taylor]: Taking taylor expansion of re in re
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify 1 into 1
3.339 * [backup-simplify]: Simplify (/ 1 1) into 1
3.339 * [backup-simplify]: Simplify (- 1) into -1
3.339 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.339 * [taylor]: Taking taylor expansion of 0 in im
3.339 * [backup-simplify]: Simplify 0 into 0
3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.340 * [backup-simplify]: Simplify (- 0) into 0
3.340 * [backup-simplify]: Simplify (+ 0 0) into 0
3.340 * [taylor]: Taking taylor expansion of 0 in im
3.340 * [backup-simplify]: Simplify 0 into 0
3.340 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.341 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.345 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.346 * [backup-simplify]: Simplify (- 0) into 0
3.346 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.346 * [taylor]: Taking taylor expansion of 1/2 in im
3.346 * [backup-simplify]: Simplify 1/2 into 1/2
3.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.346 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.346 * [taylor]: Taking taylor expansion of im in im
3.346 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify 1 into 1
3.346 * [backup-simplify]: Simplify (* 1 1) into 1
3.347 * [backup-simplify]: Simplify (/ 1 1) into 1
3.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.348 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.350 * [backup-simplify]: Simplify (+ 0 0) into 0
3.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.351 * [backup-simplify]: Simplify (- 0) into 0
3.351 * [backup-simplify]: Simplify (+ 0 0) into 0
3.351 * [taylor]: Taking taylor expansion of 0 in im
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
3.353 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
3.353 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
3.353 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
3.353 * [taylor]: Taking taylor expansion of re in im
3.353 * [backup-simplify]: Simplify re into re
3.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.353 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.353 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.353 * [taylor]: Taking taylor expansion of re in im
3.353 * [backup-simplify]: Simplify re into re
3.353 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.353 * [taylor]: Taking taylor expansion of im in im
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 1 into 1
3.353 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.353 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.353 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.353 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.354 * [backup-simplify]: Simplify (+ 0 0) into 0
3.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.354 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.354 * [taylor]: Taking taylor expansion of re in re
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.354 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.354 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.354 * [taylor]: Taking taylor expansion of re in re
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.354 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.354 * [taylor]: Taking taylor expansion of im in re
3.354 * [backup-simplify]: Simplify im into im
3.354 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.354 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.354 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.354 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.354 * [backup-simplify]: Simplify (+ 0 0) into 0
3.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.355 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.355 * [taylor]: Taking taylor expansion of re in re
3.355 * [backup-simplify]: Simplify 0 into 0
3.355 * [backup-simplify]: Simplify 1 into 1
3.355 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.355 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.355 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.355 * [taylor]: Taking taylor expansion of re in re
3.355 * [backup-simplify]: Simplify 0 into 0
3.355 * [backup-simplify]: Simplify 1 into 1
3.355 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.355 * [taylor]: Taking taylor expansion of im in re
3.355 * [backup-simplify]: Simplify im into im
3.355 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.355 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.355 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.355 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.355 * [backup-simplify]: Simplify (+ 0 0) into 0
3.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.355 * [backup-simplify]: Simplify (+ 0 im) into im
3.355 * [taylor]: Taking taylor expansion of im in im
3.356 * [backup-simplify]: Simplify 0 into 0
3.356 * [backup-simplify]: Simplify 1 into 1
3.356 * [backup-simplify]: Simplify 0 into 0
3.356 * [backup-simplify]: Simplify (+ 1 0) into 1
3.356 * [taylor]: Taking taylor expansion of 1 in im
3.356 * [backup-simplify]: Simplify 1 into 1
3.356 * [backup-simplify]: Simplify 1 into 1
3.356 * [backup-simplify]: Simplify 1 into 1
3.356 * [backup-simplify]: Simplify (* 1 1) into 1
3.356 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.357 * [backup-simplify]: Simplify (+ 1 0) into 1
3.357 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.357 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.357 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.357 * [taylor]: Taking taylor expansion of 1/2 in im
3.357 * [backup-simplify]: Simplify 1/2 into 1/2
3.357 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.357 * [taylor]: Taking taylor expansion of im in im
3.357 * [backup-simplify]: Simplify 0 into 0
3.357 * [backup-simplify]: Simplify 1 into 1
3.358 * [backup-simplify]: Simplify (/ 1 1) into 1
3.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify 0 into 0
3.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.359 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.360 * [backup-simplify]: Simplify (+ 0 0) into 0
3.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.360 * [backup-simplify]: Simplify (+ 0 0) into 0
3.360 * [taylor]: Taking taylor expansion of 0 in im
3.360 * [backup-simplify]: Simplify 0 into 0
3.360 * [backup-simplify]: Simplify 0 into 0
3.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.361 * [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)))))
3.361 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.361 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.361 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.361 * [taylor]: Taking taylor expansion of re in im
3.361 * [backup-simplify]: Simplify re into re
3.362 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.362 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.362 * [taylor]: Taking taylor expansion of im in im
3.362 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify 1 into 1
3.362 * [backup-simplify]: Simplify (* 1 1) into 1
3.362 * [backup-simplify]: Simplify (/ 1 1) into 1
3.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.362 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.362 * [taylor]: Taking taylor expansion of re in im
3.362 * [backup-simplify]: Simplify re into re
3.362 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.362 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.363 * [backup-simplify]: Simplify (+ 1 0) into 1
3.363 * [backup-simplify]: Simplify (sqrt 1) into 1
3.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.364 * [backup-simplify]: Simplify (+ 0 0) into 0
3.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.365 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.365 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.365 * [taylor]: Taking taylor expansion of re in re
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 1 into 1
3.365 * [backup-simplify]: Simplify (/ 1 1) into 1
3.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.365 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.365 * [taylor]: Taking taylor expansion of im in re
3.366 * [backup-simplify]: Simplify im into im
3.366 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.366 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.366 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.366 * [taylor]: Taking taylor expansion of re in re
3.366 * [backup-simplify]: Simplify 0 into 0
3.366 * [backup-simplify]: Simplify 1 into 1
3.366 * [backup-simplify]: Simplify (* 1 1) into 1
3.367 * [backup-simplify]: Simplify (/ 1 1) into 1
3.367 * [backup-simplify]: Simplify (+ 0 1) into 1
3.367 * [backup-simplify]: Simplify (sqrt 1) into 1
3.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.369 * [backup-simplify]: Simplify (+ 0 0) into 0
3.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.370 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.370 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.370 * [taylor]: Taking taylor expansion of re in re
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify 1 into 1
3.371 * [backup-simplify]: Simplify (/ 1 1) into 1
3.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.371 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.371 * [taylor]: Taking taylor expansion of im in re
3.371 * [backup-simplify]: Simplify im into im
3.371 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.371 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.371 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.371 * [taylor]: Taking taylor expansion of re in re
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify 1 into 1
3.371 * [backup-simplify]: Simplify (* 1 1) into 1
3.372 * [backup-simplify]: Simplify (/ 1 1) into 1
3.372 * [backup-simplify]: Simplify (+ 0 1) into 1
3.373 * [backup-simplify]: Simplify (sqrt 1) into 1
3.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.374 * [backup-simplify]: Simplify (+ 0 0) into 0
3.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.376 * [backup-simplify]: Simplify (+ 1 1) into 2
3.376 * [taylor]: Taking taylor expansion of 2 in im
3.376 * [backup-simplify]: Simplify 2 into 2
3.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.377 * [backup-simplify]: Simplify (+ 0 0) into 0
3.377 * [taylor]: Taking taylor expansion of 0 in im
3.377 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify 2 into 2
3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.380 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.381 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.381 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.381 * [taylor]: Taking taylor expansion of 1/2 in im
3.381 * [backup-simplify]: Simplify 1/2 into 1/2
3.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.381 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.382 * [taylor]: Taking taylor expansion of im in im
3.382 * [backup-simplify]: Simplify 0 into 0
3.382 * [backup-simplify]: Simplify 1 into 1
3.382 * [backup-simplify]: Simplify (* 1 1) into 1
3.382 * [backup-simplify]: Simplify (/ 1 1) into 1
3.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.389 * [backup-simplify]: Simplify (+ 0 0) into 0
3.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.390 * [backup-simplify]: Simplify (+ 0 0) into 0
3.390 * [taylor]: Taking taylor expansion of 0 in im
3.390 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.393 * [backup-simplify]: Simplify 0 into 0
3.393 * [backup-simplify]: Simplify 0 into 0
3.393 * [backup-simplify]: Simplify 0 into 0
3.393 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.394 * [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))
3.394 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.394 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.394 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.394 * [taylor]: Taking taylor expansion of im in im
3.394 * [backup-simplify]: Simplify 0 into 0
3.394 * [backup-simplify]: Simplify 1 into 1
3.395 * [backup-simplify]: Simplify (* 1 1) into 1
3.395 * [backup-simplify]: Simplify (/ 1 1) into 1
3.395 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.395 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.395 * [taylor]: Taking taylor expansion of re in im
3.395 * [backup-simplify]: Simplify re into re
3.396 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.396 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.396 * [backup-simplify]: Simplify (+ 1 0) into 1
3.397 * [backup-simplify]: Simplify (sqrt 1) into 1
3.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.398 * [backup-simplify]: Simplify (+ 0 0) into 0
3.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.399 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.399 * [taylor]: Taking taylor expansion of re in im
3.399 * [backup-simplify]: Simplify re into re
3.399 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.399 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.400 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.400 * [taylor]: Taking taylor expansion of im in re
3.400 * [backup-simplify]: Simplify im into im
3.400 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.400 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.400 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.400 * [taylor]: Taking taylor expansion of re in re
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify 1 into 1
3.400 * [backup-simplify]: Simplify (* 1 1) into 1
3.401 * [backup-simplify]: Simplify (/ 1 1) into 1
3.401 * [backup-simplify]: Simplify (+ 0 1) into 1
3.402 * [backup-simplify]: Simplify (sqrt 1) into 1
3.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.403 * [backup-simplify]: Simplify (+ 0 0) into 0
3.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.404 * [taylor]: Taking taylor expansion of re in re
3.404 * [backup-simplify]: Simplify 0 into 0
3.404 * [backup-simplify]: Simplify 1 into 1
3.405 * [backup-simplify]: Simplify (/ 1 1) into 1
3.405 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.405 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.405 * [taylor]: Taking taylor expansion of im in re
3.405 * [backup-simplify]: Simplify im into im
3.405 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.405 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.405 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.405 * [taylor]: Taking taylor expansion of re in re
3.405 * [backup-simplify]: Simplify 0 into 0
3.405 * [backup-simplify]: Simplify 1 into 1
3.406 * [backup-simplify]: Simplify (* 1 1) into 1
3.406 * [backup-simplify]: Simplify (/ 1 1) into 1
3.407 * [backup-simplify]: Simplify (+ 0 1) into 1
3.407 * [backup-simplify]: Simplify (sqrt 1) into 1
3.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.409 * [backup-simplify]: Simplify (+ 0 0) into 0
3.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.409 * [taylor]: Taking taylor expansion of re in re
3.409 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 1 into 1
3.410 * [backup-simplify]: Simplify (/ 1 1) into 1
3.410 * [backup-simplify]: Simplify (- 1) into -1
3.411 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.411 * [taylor]: Taking taylor expansion of 0 in im
3.411 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.412 * [backup-simplify]: Simplify (- 0) into 0
3.412 * [backup-simplify]: Simplify (+ 0 0) into 0
3.412 * [taylor]: Taking taylor expansion of 0 in im
3.413 * [backup-simplify]: Simplify 0 into 0
3.413 * [backup-simplify]: Simplify 0 into 0
3.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.415 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.416 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.417 * [backup-simplify]: Simplify (- 0) into 0
3.418 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.418 * [taylor]: Taking taylor expansion of 1/2 in im
3.418 * [backup-simplify]: Simplify 1/2 into 1/2
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
3.419 * [backup-simplify]: Simplify (/ 1 1) into 1
3.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.421 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.424 * [backup-simplify]: Simplify (+ 0 0) into 0
3.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.426 * [backup-simplify]: Simplify (- 0) into 0
3.426 * [backup-simplify]: Simplify (+ 0 0) into 0
3.426 * [taylor]: Taking taylor expansion of 0 in im
3.426 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.429 * [backup-simplify]: Simplify 0 into 0
3.429 * [backup-simplify]: Simplify 0 into 0
3.429 * [backup-simplify]: Simplify 0 into 0
3.429 * * * [progress]: simplifying candidates
3.431 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
3.433 * * [simplify]: Extracting # 0 : cost  0
3.434 * * [simplify]: Extracting # 1 : cost  0
3.434 * * [simplify]: Extracting # 2 : cost  0
3.434 * * [simplify]: Extracting # 3 : cost  0
3.434 * * [simplify]: Extracting # 4 : cost  0
3.434 * * [simplify]: Extracting # 5 : cost  0
3.434 * * [simplify]: Extracting # 6 : cost  0
3.435 * * [simplify]: iteration  0 :  59  enodes  (cost  858 )
3.460 * * [simplify]: Extracting # 0 : cost  0
3.460 * * [simplify]: Extracting # 1 : cost  0
3.461 * * [simplify]: Extracting # 2 : cost  0
3.461 * * [simplify]: Extracting # 3 : cost  0
3.461 * * [simplify]: Extracting # 4 : cost  0
3.462 * * [simplify]: iteration  1 :  143  enodes  (cost  738 )
3.530 * * [simplify]: Extracting # 0 : cost  0
3.530 * * [simplify]: Extracting # 1 : cost  0
3.530 * * [simplify]: Extracting # 2 : cost  0
3.531 * * [simplify]: Extracting # 3 : cost  0
3.531 * * [simplify]: Extracting # 4 : cost  0
3.531 * * [simplify]: iteration  2 :  356  enodes  (cost  678 )
3.721 * * [simplify]: Extracting # 0 : cost  0
3.723 * * [simplify]: Extracting # 1 : cost  0
3.725 * * [simplify]: Extracting # 2 : cost  0
3.726 * * [simplify]: Extracting # 3 : cost  0
3.728 * * [simplify]: Extracting # 4 : cost  0
3.735 * * [simplify]: iteration  3 :  799  enodes  (cost  658 )
4.236 * * [simplify]: Extracting # 0 : cost  0
4.241 * * [simplify]: Extracting # 1 : cost  0
4.245 * * [simplify]: Extracting # 2 : cost  0
4.249 * * [simplify]: Extracting # 3 : cost  0
4.253 * * [simplify]: Extracting # 4 : cost  0
4.256 * * [simplify]: iteration  4 :  2089  enodes  (cost  654 )
5.146 * * [simplify]: Extracting # 0 : cost  0
5.154 * * [simplify]: Extracting # 1 : cost  0
5.166 * * [simplify]: Extracting # 2 : cost  0
5.174 * * [simplify]: Extracting # 3 : cost  0
5.180 * * [simplify]: Extracting # 4 : cost  0
5.190 * * [simplify]: iteration done:  5002  enodes  (cost  654 )
5.190 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))
  (pow im 2)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))
  (pow im 2)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  (+ re im)
  (+ re re)
  0
5.191 * * * [progress]: adding candidates to table
5.583 * * [progress]: iteration 3 / 4
5.583 * * * [progress]: picking best candidate
5.612 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
5.612 * * * [progress]: localizing error
5.643 * * * [progress]: generating rewritten candidates
5.643 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
5.667 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
5.678 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
5.716 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
5.792 * * * [progress]: generating series expansions
5.792 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
5.792 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
5.792 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.792 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.792 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.792 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.792 * [taylor]: Taking taylor expansion of re in im
5.792 * [backup-simplify]: Simplify re into re
5.792 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.792 * [taylor]: Taking taylor expansion of im in im
5.792 * [backup-simplify]: Simplify 0 into 0
5.792 * [backup-simplify]: Simplify 1 into 1
5.792 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.792 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.792 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.793 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.793 * [backup-simplify]: Simplify (+ 0 0) into 0
5.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.793 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.793 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.793 * [taylor]: Taking taylor expansion of re in re
5.793 * [backup-simplify]: Simplify 0 into 0
5.793 * [backup-simplify]: Simplify 1 into 1
5.793 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.793 * [taylor]: Taking taylor expansion of im in re
5.793 * [backup-simplify]: Simplify im into im
5.793 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.793 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.794 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.794 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.794 * [backup-simplify]: Simplify (+ 0 0) into 0
5.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.794 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.794 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.794 * [taylor]: Taking taylor expansion of re in re
5.794 * [backup-simplify]: Simplify 0 into 0
5.794 * [backup-simplify]: Simplify 1 into 1
5.794 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.794 * [taylor]: Taking taylor expansion of im in re
5.794 * [backup-simplify]: Simplify im into im
5.794 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.794 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.794 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.795 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.795 * [backup-simplify]: Simplify (+ 0 0) into 0
5.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.795 * [taylor]: Taking taylor expansion of im in im
5.795 * [backup-simplify]: Simplify 0 into 0
5.795 * [backup-simplify]: Simplify 1 into 1
5.795 * [backup-simplify]: Simplify 0 into 0
5.795 * [taylor]: Taking taylor expansion of 0 in im
5.795 * [backup-simplify]: Simplify 0 into 0
5.795 * [backup-simplify]: Simplify 0 into 0
5.795 * [backup-simplify]: Simplify 1 into 1
5.795 * [backup-simplify]: Simplify (* 1 1) into 1
5.796 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.797 * [backup-simplify]: Simplify (+ 1 0) into 1
5.798 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.798 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.798 * [taylor]: Taking taylor expansion of 1/2 in im
5.798 * [backup-simplify]: Simplify 1/2 into 1/2
5.798 * [taylor]: Taking taylor expansion of im in im
5.798 * [backup-simplify]: Simplify 0 into 0
5.798 * [backup-simplify]: Simplify 1 into 1
5.798 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.799 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify 0 into 0
5.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.801 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.801 * [backup-simplify]: Simplify (+ 0 0) into 0
5.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.801 * [taylor]: Taking taylor expansion of 0 in im
5.801 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.802 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.803 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.803 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.803 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.803 * [taylor]: Taking taylor expansion of im in im
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify 1 into 1
5.804 * [backup-simplify]: Simplify (* 1 1) into 1
5.804 * [backup-simplify]: Simplify (/ 1 1) into 1
5.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.804 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.804 * [taylor]: Taking taylor expansion of re in im
5.804 * [backup-simplify]: Simplify re into re
5.804 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.804 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.805 * [backup-simplify]: Simplify (+ 1 0) into 1
5.805 * [backup-simplify]: Simplify (sqrt 1) into 1
5.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.807 * [backup-simplify]: Simplify (+ 0 0) into 0
5.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.808 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.808 * [taylor]: Taking taylor expansion of im in re
5.808 * [backup-simplify]: Simplify im into im
5.808 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.808 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.808 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.808 * [taylor]: Taking taylor expansion of re in re
5.808 * [backup-simplify]: Simplify 0 into 0
5.809 * [backup-simplify]: Simplify 1 into 1
5.809 * [backup-simplify]: Simplify (* 1 1) into 1
5.809 * [backup-simplify]: Simplify (/ 1 1) into 1
5.810 * [backup-simplify]: Simplify (+ 0 1) into 1
5.810 * [backup-simplify]: Simplify (sqrt 1) into 1
5.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.812 * [backup-simplify]: Simplify (+ 0 0) into 0
5.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.813 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.813 * [taylor]: Taking taylor expansion of im in re
5.813 * [backup-simplify]: Simplify im into im
5.813 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.813 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.813 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.813 * [taylor]: Taking taylor expansion of re in re
5.813 * [backup-simplify]: Simplify 0 into 0
5.813 * [backup-simplify]: Simplify 1 into 1
5.814 * [backup-simplify]: Simplify (* 1 1) into 1
5.814 * [backup-simplify]: Simplify (/ 1 1) into 1
5.815 * [backup-simplify]: Simplify (+ 0 1) into 1
5.815 * [backup-simplify]: Simplify (sqrt 1) into 1
5.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.817 * [backup-simplify]: Simplify (+ 0 0) into 0
5.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.817 * [taylor]: Taking taylor expansion of 1 in im
5.818 * [backup-simplify]: Simplify 1 into 1
5.818 * [taylor]: Taking taylor expansion of 0 in im
5.818 * [backup-simplify]: Simplify 0 into 0
5.818 * [backup-simplify]: Simplify 1 into 1
5.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.820 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.821 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.821 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.821 * [taylor]: Taking taylor expansion of 1/2 in im
5.821 * [backup-simplify]: Simplify 1/2 into 1/2
5.821 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.821 * [taylor]: Taking taylor expansion of im in im
5.821 * [backup-simplify]: Simplify 0 into 0
5.821 * [backup-simplify]: Simplify 1 into 1
5.822 * [backup-simplify]: Simplify (* 1 1) into 1
5.822 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.827 * [backup-simplify]: Simplify (+ 0 0) into 0
5.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.828 * [taylor]: Taking taylor expansion of 0 in im
5.828 * [backup-simplify]: Simplify 0 into 0
5.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.830 * [backup-simplify]: Simplify 0 into 0
5.830 * [backup-simplify]: Simplify 0 into 0
5.830 * [backup-simplify]: Simplify 0 into 0
5.830 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.831 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.831 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.831 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.831 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.831 * [taylor]: Taking taylor expansion of im in im
5.831 * [backup-simplify]: Simplify 0 into 0
5.831 * [backup-simplify]: Simplify 1 into 1
5.831 * [backup-simplify]: Simplify (* 1 1) into 1
5.832 * [backup-simplify]: Simplify (/ 1 1) into 1
5.832 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.832 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.832 * [taylor]: Taking taylor expansion of re in im
5.832 * [backup-simplify]: Simplify re into re
5.832 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.832 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.833 * [backup-simplify]: Simplify (+ 1 0) into 1
5.833 * [backup-simplify]: Simplify (sqrt 1) into 1
5.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.835 * [backup-simplify]: Simplify (+ 0 0) into 0
5.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.836 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.836 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.836 * [taylor]: Taking taylor expansion of im in re
5.836 * [backup-simplify]: Simplify im into im
5.836 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.836 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.836 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.836 * [taylor]: Taking taylor expansion of re in re
5.836 * [backup-simplify]: Simplify 0 into 0
5.836 * [backup-simplify]: Simplify 1 into 1
5.837 * [backup-simplify]: Simplify (* 1 1) into 1
5.837 * [backup-simplify]: Simplify (/ 1 1) into 1
5.838 * [backup-simplify]: Simplify (+ 0 1) into 1
5.838 * [backup-simplify]: Simplify (sqrt 1) into 1
5.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.840 * [backup-simplify]: Simplify (+ 0 0) into 0
5.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.841 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.841 * [taylor]: Taking taylor expansion of im in re
5.841 * [backup-simplify]: Simplify im into im
5.841 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.841 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.841 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.841 * [taylor]: Taking taylor expansion of re in re
5.841 * [backup-simplify]: Simplify 0 into 0
5.841 * [backup-simplify]: Simplify 1 into 1
5.842 * [backup-simplify]: Simplify (* 1 1) into 1
5.847 * [backup-simplify]: Simplify (/ 1 1) into 1
5.848 * [backup-simplify]: Simplify (+ 0 1) into 1
5.849 * [backup-simplify]: Simplify (sqrt 1) into 1
5.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.850 * [backup-simplify]: Simplify (+ 0 0) into 0
5.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.851 * [taylor]: Taking taylor expansion of 1 in im
5.851 * [backup-simplify]: Simplify 1 into 1
5.851 * [taylor]: Taking taylor expansion of 0 in im
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify 1 into 1
5.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.853 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.855 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.855 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.855 * [taylor]: Taking taylor expansion of 1/2 in im
5.855 * [backup-simplify]: Simplify 1/2 into 1/2
5.855 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.855 * [taylor]: Taking taylor expansion of im in im
5.855 * [backup-simplify]: Simplify 0 into 0
5.855 * [backup-simplify]: Simplify 1 into 1
5.855 * [backup-simplify]: Simplify (* 1 1) into 1
5.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.857 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.860 * [backup-simplify]: Simplify (+ 0 0) into 0
5.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.861 * [taylor]: Taking taylor expansion of 0 in im
5.861 * [backup-simplify]: Simplify 0 into 0
5.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.863 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
5.863 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
5.863 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.863 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.863 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.863 * [taylor]: Taking taylor expansion of re in im
5.863 * [backup-simplify]: Simplify re into re
5.863 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.863 * [taylor]: Taking taylor expansion of im in im
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 1 into 1
5.864 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.864 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.864 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.864 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.864 * [backup-simplify]: Simplify (+ 0 0) into 0
5.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.865 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.865 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.865 * [taylor]: Taking taylor expansion of re in re
5.865 * [backup-simplify]: Simplify 0 into 0
5.865 * [backup-simplify]: Simplify 1 into 1
5.865 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.865 * [taylor]: Taking taylor expansion of im in re
5.865 * [backup-simplify]: Simplify im into im
5.865 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.865 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.865 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.866 * [backup-simplify]: Simplify (+ 0 0) into 0
5.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.866 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.866 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.866 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.866 * [taylor]: Taking taylor expansion of re in re
5.866 * [backup-simplify]: Simplify 0 into 0
5.866 * [backup-simplify]: Simplify 1 into 1
5.866 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.866 * [taylor]: Taking taylor expansion of im in re
5.866 * [backup-simplify]: Simplify im into im
5.866 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.866 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.867 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.867 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.867 * [backup-simplify]: Simplify (+ 0 0) into 0
5.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.867 * [taylor]: Taking taylor expansion of im in im
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [backup-simplify]: Simplify 1 into 1
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [taylor]: Taking taylor expansion of 0 in im
5.867 * [backup-simplify]: Simplify 0 into 0
5.868 * [backup-simplify]: Simplify 0 into 0
5.868 * [backup-simplify]: Simplify 1 into 1
5.868 * [backup-simplify]: Simplify (* 1 1) into 1
5.868 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.869 * [backup-simplify]: Simplify (+ 1 0) into 1
5.870 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.870 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.870 * [taylor]: Taking taylor expansion of 1/2 in im
5.870 * [backup-simplify]: Simplify 1/2 into 1/2
5.870 * [taylor]: Taking taylor expansion of im in im
5.870 * [backup-simplify]: Simplify 0 into 0
5.870 * [backup-simplify]: Simplify 1 into 1
5.870 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 0 into 0
5.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.872 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.873 * [backup-simplify]: Simplify (+ 0 0) into 0
5.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.873 * [taylor]: Taking taylor expansion of 0 in im
5.873 * [backup-simplify]: Simplify 0 into 0
5.873 * [backup-simplify]: Simplify 0 into 0
5.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.874 * [backup-simplify]: Simplify 0 into 0
5.874 * [backup-simplify]: Simplify 0 into 0
5.874 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.875 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.875 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.875 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.875 * [taylor]: Taking taylor expansion of im in im
5.875 * [backup-simplify]: Simplify 0 into 0
5.875 * [backup-simplify]: Simplify 1 into 1
5.875 * [backup-simplify]: Simplify (* 1 1) into 1
5.876 * [backup-simplify]: Simplify (/ 1 1) into 1
5.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.876 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.876 * [taylor]: Taking taylor expansion of re in im
5.876 * [backup-simplify]: Simplify re into re
5.876 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.876 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.876 * [backup-simplify]: Simplify (+ 1 0) into 1
5.877 * [backup-simplify]: Simplify (sqrt 1) into 1
5.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.879 * [backup-simplify]: Simplify (+ 0 0) into 0
5.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.879 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.879 * [taylor]: Taking taylor expansion of im in re
5.879 * [backup-simplify]: Simplify im into im
5.879 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.880 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.880 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.880 * [taylor]: Taking taylor expansion of re in re
5.880 * [backup-simplify]: Simplify 0 into 0
5.880 * [backup-simplify]: Simplify 1 into 1
5.880 * [backup-simplify]: Simplify (* 1 1) into 1
5.881 * [backup-simplify]: Simplify (/ 1 1) into 1
5.881 * [backup-simplify]: Simplify (+ 0 1) into 1
5.881 * [backup-simplify]: Simplify (sqrt 1) into 1
5.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.883 * [backup-simplify]: Simplify (+ 0 0) into 0
5.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.884 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.884 * [taylor]: Taking taylor expansion of im in re
5.884 * [backup-simplify]: Simplify im into im
5.884 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.884 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.884 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.884 * [taylor]: Taking taylor expansion of re in re
5.884 * [backup-simplify]: Simplify 0 into 0
5.884 * [backup-simplify]: Simplify 1 into 1
5.885 * [backup-simplify]: Simplify (* 1 1) into 1
5.885 * [backup-simplify]: Simplify (/ 1 1) into 1
5.886 * [backup-simplify]: Simplify (+ 0 1) into 1
5.886 * [backup-simplify]: Simplify (sqrt 1) into 1
5.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.888 * [backup-simplify]: Simplify (+ 0 0) into 0
5.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.889 * [taylor]: Taking taylor expansion of 1 in im
5.889 * [backup-simplify]: Simplify 1 into 1
5.889 * [taylor]: Taking taylor expansion of 0 in im
5.889 * [backup-simplify]: Simplify 0 into 0
5.889 * [backup-simplify]: Simplify 1 into 1
5.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.891 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.892 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.892 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.892 * [taylor]: Taking taylor expansion of 1/2 in im
5.892 * [backup-simplify]: Simplify 1/2 into 1/2
5.892 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.892 * [taylor]: Taking taylor expansion of im in im
5.892 * [backup-simplify]: Simplify 0 into 0
5.892 * [backup-simplify]: Simplify 1 into 1
5.893 * [backup-simplify]: Simplify (* 1 1) into 1
5.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.895 * [backup-simplify]: Simplify 0 into 0
5.895 * [backup-simplify]: Simplify 0 into 0
5.895 * [backup-simplify]: Simplify 0 into 0
5.895 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.897 * [backup-simplify]: Simplify (+ 0 0) into 0
5.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.898 * [taylor]: Taking taylor expansion of 0 in im
5.898 * [backup-simplify]: Simplify 0 into 0
5.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.900 * [backup-simplify]: Simplify 0 into 0
5.900 * [backup-simplify]: Simplify 0 into 0
5.900 * [backup-simplify]: Simplify 0 into 0
5.900 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.900 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.900 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.900 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.900 * [taylor]: Taking taylor expansion of im in im
5.900 * [backup-simplify]: Simplify 0 into 0
5.900 * [backup-simplify]: Simplify 1 into 1
5.901 * [backup-simplify]: Simplify (* 1 1) into 1
5.901 * [backup-simplify]: Simplify (/ 1 1) into 1
5.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.901 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.901 * [taylor]: Taking taylor expansion of re in im
5.901 * [backup-simplify]: Simplify re into re
5.901 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.901 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.901 * [backup-simplify]: Simplify (+ 1 0) into 1
5.902 * [backup-simplify]: Simplify (sqrt 1) into 1
5.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.903 * [backup-simplify]: Simplify (+ 0 0) into 0
5.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.903 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.903 * [taylor]: Taking taylor expansion of im in re
5.903 * [backup-simplify]: Simplify im into im
5.903 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.903 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.903 * [taylor]: Taking taylor expansion of re in re
5.903 * [backup-simplify]: Simplify 0 into 0
5.903 * [backup-simplify]: Simplify 1 into 1
5.904 * [backup-simplify]: Simplify (* 1 1) into 1
5.904 * [backup-simplify]: Simplify (/ 1 1) into 1
5.904 * [backup-simplify]: Simplify (+ 0 1) into 1
5.904 * [backup-simplify]: Simplify (sqrt 1) into 1
5.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.905 * [backup-simplify]: Simplify (+ 0 0) into 0
5.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.906 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.906 * [taylor]: Taking taylor expansion of im in re
5.906 * [backup-simplify]: Simplify im into im
5.906 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.906 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.906 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.906 * [taylor]: Taking taylor expansion of re in re
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify 1 into 1
5.906 * [backup-simplify]: Simplify (* 1 1) into 1
5.907 * [backup-simplify]: Simplify (/ 1 1) into 1
5.907 * [backup-simplify]: Simplify (+ 0 1) into 1
5.907 * [backup-simplify]: Simplify (sqrt 1) into 1
5.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.908 * [backup-simplify]: Simplify (+ 0 0) into 0
5.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.909 * [taylor]: Taking taylor expansion of 1 in im
5.909 * [backup-simplify]: Simplify 1 into 1
5.909 * [taylor]: Taking taylor expansion of 0 in im
5.909 * [backup-simplify]: Simplify 0 into 0
5.909 * [backup-simplify]: Simplify 1 into 1
5.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.910 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.911 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.911 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.911 * [taylor]: Taking taylor expansion of 1/2 in im
5.911 * [backup-simplify]: Simplify 1/2 into 1/2
5.911 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.911 * [taylor]: Taking taylor expansion of im in im
5.911 * [backup-simplify]: Simplify 0 into 0
5.911 * [backup-simplify]: Simplify 1 into 1
5.911 * [backup-simplify]: Simplify (* 1 1) into 1
5.911 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify 0 into 0
5.913 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.914 * [backup-simplify]: Simplify (+ 0 0) into 0
5.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.915 * [taylor]: Taking taylor expansion of 0 in im
5.915 * [backup-simplify]: Simplify 0 into 0
5.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.916 * [backup-simplify]: Simplify 0 into 0
5.916 * [backup-simplify]: Simplify 0 into 0
5.916 * [backup-simplify]: Simplify 0 into 0
5.916 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.916 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
5.916 * [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))))
5.916 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
5.916 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
5.916 * [taylor]: Taking taylor expansion of re in im
5.916 * [backup-simplify]: Simplify re into re
5.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.916 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.916 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.916 * [taylor]: Taking taylor expansion of re in im
5.916 * [backup-simplify]: Simplify re into re
5.916 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.916 * [taylor]: Taking taylor expansion of im in im
5.916 * [backup-simplify]: Simplify 0 into 0
5.916 * [backup-simplify]: Simplify 1 into 1
5.916 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.917 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.917 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.917 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.917 * [backup-simplify]: Simplify (+ 0 0) into 0
5.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.917 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
5.917 * [taylor]: Taking taylor expansion of re in re
5.917 * [backup-simplify]: Simplify 0 into 0
5.917 * [backup-simplify]: Simplify 1 into 1
5.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.917 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.917 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.917 * [taylor]: Taking taylor expansion of re in re
5.917 * [backup-simplify]: Simplify 0 into 0
5.917 * [backup-simplify]: Simplify 1 into 1
5.917 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.917 * [taylor]: Taking taylor expansion of im in re
5.917 * [backup-simplify]: Simplify im into im
5.917 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.917 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.918 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.918 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.918 * [backup-simplify]: Simplify (+ 0 0) into 0
5.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.918 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
5.918 * [taylor]: Taking taylor expansion of re in re
5.918 * [backup-simplify]: Simplify 0 into 0
5.918 * [backup-simplify]: Simplify 1 into 1
5.918 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.918 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.918 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.918 * [taylor]: Taking taylor expansion of re in re
5.918 * [backup-simplify]: Simplify 0 into 0
5.918 * [backup-simplify]: Simplify 1 into 1
5.918 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.918 * [taylor]: Taking taylor expansion of im in re
5.918 * [backup-simplify]: Simplify im into im
5.918 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.918 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.918 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.918 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.919 * [backup-simplify]: Simplify (+ 0 0) into 0
5.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.919 * [backup-simplify]: Simplify (+ 0 im) into im
5.919 * [taylor]: Taking taylor expansion of im in im
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 1 into 1
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify (+ 1 0) into 1
5.919 * [taylor]: Taking taylor expansion of 1 in im
5.919 * [backup-simplify]: Simplify 1 into 1
5.919 * [backup-simplify]: Simplify 1 into 1
5.919 * [backup-simplify]: Simplify 1 into 1
5.920 * [backup-simplify]: Simplify (* 1 1) into 1
5.920 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.920 * [backup-simplify]: Simplify (+ 1 0) into 1
5.921 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.921 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
5.921 * [taylor]: Taking taylor expansion of 1/2 in im
5.921 * [backup-simplify]: Simplify 1/2 into 1/2
5.921 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.921 * [taylor]: Taking taylor expansion of im in im
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [backup-simplify]: Simplify 1 into 1
5.921 * [backup-simplify]: Simplify (/ 1 1) into 1
5.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.923 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.923 * [backup-simplify]: Simplify (+ 0 0) into 0
5.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.923 * [backup-simplify]: Simplify (+ 0 0) into 0
5.923 * [taylor]: Taking taylor expansion of 0 in im
5.923 * [backup-simplify]: Simplify 0 into 0
5.923 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.925 * [backup-simplify]: Simplify 0 into 0
5.925 * [backup-simplify]: Simplify 0 into 0
5.925 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
5.925 * [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)))))
5.925 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
5.925 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.925 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.925 * [taylor]: Taking taylor expansion of re in im
5.925 * [backup-simplify]: Simplify re into re
5.925 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.925 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.925 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.925 * [taylor]: Taking taylor expansion of im in im
5.925 * [backup-simplify]: Simplify 0 into 0
5.925 * [backup-simplify]: Simplify 1 into 1
5.926 * [backup-simplify]: Simplify (* 1 1) into 1
5.926 * [backup-simplify]: Simplify (/ 1 1) into 1
5.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.926 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.926 * [taylor]: Taking taylor expansion of re in im
5.926 * [backup-simplify]: Simplify re into re
5.926 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.926 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.926 * [backup-simplify]: Simplify (+ 1 0) into 1
5.927 * [backup-simplify]: Simplify (sqrt 1) into 1
5.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.928 * [backup-simplify]: Simplify (+ 0 0) into 0
5.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.928 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.928 * [taylor]: Taking taylor expansion of re in re
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify 1 into 1
5.928 * [backup-simplify]: Simplify (/ 1 1) into 1
5.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.929 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.929 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.929 * [taylor]: Taking taylor expansion of im in re
5.929 * [backup-simplify]: Simplify im into im
5.929 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.929 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.929 * [taylor]: Taking taylor expansion of re in re
5.929 * [backup-simplify]: Simplify 0 into 0
5.929 * [backup-simplify]: Simplify 1 into 1
5.929 * [backup-simplify]: Simplify (* 1 1) into 1
5.929 * [backup-simplify]: Simplify (/ 1 1) into 1
5.930 * [backup-simplify]: Simplify (+ 0 1) into 1
5.930 * [backup-simplify]: Simplify (sqrt 1) into 1
5.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.931 * [backup-simplify]: Simplify (+ 0 0) into 0
5.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.931 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.931 * [taylor]: Taking taylor expansion of re in re
5.931 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify 1 into 1
5.932 * [backup-simplify]: Simplify (/ 1 1) into 1
5.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.932 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.932 * [taylor]: Taking taylor expansion of im in re
5.932 * [backup-simplify]: Simplify im into im
5.932 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.932 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.932 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.932 * [taylor]: Taking taylor expansion of re in re
5.932 * [backup-simplify]: Simplify 0 into 0
5.932 * [backup-simplify]: Simplify 1 into 1
5.933 * [backup-simplify]: Simplify (* 1 1) into 1
5.933 * [backup-simplify]: Simplify (/ 1 1) into 1
5.933 * [backup-simplify]: Simplify (+ 0 1) into 1
5.934 * [backup-simplify]: Simplify (sqrt 1) into 1
5.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.936 * [backup-simplify]: Simplify (+ 0 0) into 0
5.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.937 * [backup-simplify]: Simplify (+ 1 1) into 2
5.937 * [taylor]: Taking taylor expansion of 2 in im
5.937 * [backup-simplify]: Simplify 2 into 2
5.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.938 * [backup-simplify]: Simplify (+ 0 0) into 0
5.938 * [taylor]: Taking taylor expansion of 0 in im
5.938 * [backup-simplify]: Simplify 0 into 0
5.938 * [backup-simplify]: Simplify 2 into 2
5.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.941 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.943 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.943 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
5.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.943 * [taylor]: Taking taylor expansion of 1/2 in im
5.943 * [backup-simplify]: Simplify 1/2 into 1/2
5.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.943 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.943 * [taylor]: Taking taylor expansion of im in im
5.943 * [backup-simplify]: Simplify 0 into 0
5.943 * [backup-simplify]: Simplify 1 into 1
5.944 * [backup-simplify]: Simplify (* 1 1) into 1
5.944 * [backup-simplify]: Simplify (/ 1 1) into 1
5.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.946 * [backup-simplify]: Simplify 0 into 0
5.946 * [backup-simplify]: Simplify 0 into 0
5.946 * [backup-simplify]: Simplify 0 into 0
5.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.947 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.950 * [backup-simplify]: Simplify (+ 0 0) into 0
5.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.951 * [backup-simplify]: Simplify (+ 0 0) into 0
5.951 * [taylor]: Taking taylor expansion of 0 in im
5.951 * [backup-simplify]: Simplify 0 into 0
5.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.954 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
5.955 * [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))
5.955 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
5.955 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
5.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.955 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.955 * [taylor]: Taking taylor expansion of im in im
5.955 * [backup-simplify]: Simplify 0 into 0
5.955 * [backup-simplify]: Simplify 1 into 1
5.956 * [backup-simplify]: Simplify (* 1 1) into 1
5.956 * [backup-simplify]: Simplify (/ 1 1) into 1
5.956 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.956 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.957 * [taylor]: Taking taylor expansion of re in im
5.957 * [backup-simplify]: Simplify re into re
5.957 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.957 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.957 * [backup-simplify]: Simplify (+ 1 0) into 1
5.958 * [backup-simplify]: Simplify (sqrt 1) into 1
5.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.959 * [backup-simplify]: Simplify (+ 0 0) into 0
5.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.960 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.960 * [taylor]: Taking taylor expansion of re in im
5.960 * [backup-simplify]: Simplify re into re
5.960 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.960 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
5.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.961 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.961 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.961 * [taylor]: Taking taylor expansion of im in re
5.961 * [backup-simplify]: Simplify im into im
5.961 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.961 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.961 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.961 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.961 * [taylor]: Taking taylor expansion of re in re
5.961 * [backup-simplify]: Simplify 0 into 0
5.961 * [backup-simplify]: Simplify 1 into 1
5.962 * [backup-simplify]: Simplify (* 1 1) into 1
5.962 * [backup-simplify]: Simplify (/ 1 1) into 1
5.962 * [backup-simplify]: Simplify (+ 0 1) into 1
5.963 * [backup-simplify]: Simplify (sqrt 1) into 1
5.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.965 * [backup-simplify]: Simplify (+ 0 0) into 0
5.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.965 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.965 * [taylor]: Taking taylor expansion of re in re
5.965 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify 1 into 1
5.966 * [backup-simplify]: Simplify (/ 1 1) into 1
5.966 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
5.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.966 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.966 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.966 * [taylor]: Taking taylor expansion of im in re
5.966 * [backup-simplify]: Simplify im into im
5.966 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.966 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.966 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.967 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.967 * [taylor]: Taking taylor expansion of re in re
5.967 * [backup-simplify]: Simplify 0 into 0
5.967 * [backup-simplify]: Simplify 1 into 1
5.967 * [backup-simplify]: Simplify (* 1 1) into 1
5.967 * [backup-simplify]: Simplify (/ 1 1) into 1
5.968 * [backup-simplify]: Simplify (+ 0 1) into 1
5.968 * [backup-simplify]: Simplify (sqrt 1) into 1
5.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.970 * [backup-simplify]: Simplify (+ 0 0) into 0
5.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.971 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.971 * [taylor]: Taking taylor expansion of re in re
5.971 * [backup-simplify]: Simplify 0 into 0
5.971 * [backup-simplify]: Simplify 1 into 1
5.971 * [backup-simplify]: Simplify (/ 1 1) into 1
5.972 * [backup-simplify]: Simplify (- 1) into -1
5.972 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.972 * [taylor]: Taking taylor expansion of 0 in im
5.972 * [backup-simplify]: Simplify 0 into 0
5.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.973 * [backup-simplify]: Simplify (- 0) into 0
5.974 * [backup-simplify]: Simplify (+ 0 0) into 0
5.974 * [taylor]: Taking taylor expansion of 0 in im
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify 0 into 0
5.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.976 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.977 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.981 * [backup-simplify]: Simplify (- 0) into 0
5.981 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.981 * [taylor]: Taking taylor expansion of 1/2 in im
5.981 * [backup-simplify]: Simplify 1/2 into 1/2
5.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.981 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.981 * [taylor]: Taking taylor expansion of im in im
5.981 * [backup-simplify]: Simplify 0 into 0
5.981 * [backup-simplify]: Simplify 1 into 1
5.982 * [backup-simplify]: Simplify (* 1 1) into 1
5.982 * [backup-simplify]: Simplify (/ 1 1) into 1
5.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.983 * [backup-simplify]: Simplify 0 into 0
5.983 * [backup-simplify]: Simplify 0 into 0
5.983 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.986 * [backup-simplify]: Simplify (+ 0 0) into 0
5.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.987 * [backup-simplify]: Simplify (- 0) into 0
5.987 * [backup-simplify]: Simplify (+ 0 0) into 0
5.987 * [taylor]: Taking taylor expansion of 0 in im
5.987 * [backup-simplify]: Simplify 0 into 0
5.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
5.989 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
5.989 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.989 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.989 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.989 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.989 * [taylor]: Taking taylor expansion of re in im
5.989 * [backup-simplify]: Simplify re into re
5.989 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.989 * [taylor]: Taking taylor expansion of im in im
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify 1 into 1
5.989 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.990 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.990 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.990 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.990 * [backup-simplify]: Simplify (+ 0 0) into 0
5.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.990 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.990 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.990 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.990 * [taylor]: Taking taylor expansion of re in re
5.990 * [backup-simplify]: Simplify 0 into 0
5.990 * [backup-simplify]: Simplify 1 into 1
5.990 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.990 * [taylor]: Taking taylor expansion of im in re
5.990 * [backup-simplify]: Simplify im into im
5.990 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.990 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.991 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.991 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.991 * [backup-simplify]: Simplify (+ 0 0) into 0
5.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.991 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.991 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.991 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.991 * [taylor]: Taking taylor expansion of re in re
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [backup-simplify]: Simplify 1 into 1
5.991 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.991 * [taylor]: Taking taylor expansion of im in re
5.991 * [backup-simplify]: Simplify im into im
5.991 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.991 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.991 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.991 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.992 * [backup-simplify]: Simplify (+ 0 0) into 0
5.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.992 * [taylor]: Taking taylor expansion of im in im
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 1 into 1
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [taylor]: Taking taylor expansion of 0 in im
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 1 into 1
5.992 * [backup-simplify]: Simplify (* 1 1) into 1
5.993 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.993 * [backup-simplify]: Simplify (+ 1 0) into 1
5.993 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.993 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.993 * [taylor]: Taking taylor expansion of 1/2 in im
5.993 * [backup-simplify]: Simplify 1/2 into 1/2
5.993 * [taylor]: Taking taylor expansion of im in im
5.993 * [backup-simplify]: Simplify 0 into 0
5.993 * [backup-simplify]: Simplify 1 into 1
5.994 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.994 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify 0 into 0
5.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.995 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.995 * [backup-simplify]: Simplify (+ 0 0) into 0
5.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.995 * [taylor]: Taking taylor expansion of 0 in im
5.995 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.996 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.997 * [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))))
5.997 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.997 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.997 * [taylor]: Taking taylor expansion of im in im
5.997 * [backup-simplify]: Simplify 0 into 0
5.997 * [backup-simplify]: Simplify 1 into 1
5.997 * [backup-simplify]: Simplify (* 1 1) into 1
5.997 * [backup-simplify]: Simplify (/ 1 1) into 1
5.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.997 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.997 * [taylor]: Taking taylor expansion of re in im
5.997 * [backup-simplify]: Simplify re into re
5.997 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.998 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.998 * [backup-simplify]: Simplify (+ 1 0) into 1
5.998 * [backup-simplify]: Simplify (sqrt 1) into 1
5.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.999 * [backup-simplify]: Simplify (+ 0 0) into 0
6.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.000 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.000 * [taylor]: Taking taylor expansion of im in re
6.000 * [backup-simplify]: Simplify im into im
6.000 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.000 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.000 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.000 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.000 * [taylor]: Taking taylor expansion of re in re
6.000 * [backup-simplify]: Simplify 0 into 0
6.000 * [backup-simplify]: Simplify 1 into 1
6.000 * [backup-simplify]: Simplify (* 1 1) into 1
6.000 * [backup-simplify]: Simplify (/ 1 1) into 1
6.001 * [backup-simplify]: Simplify (+ 0 1) into 1
6.001 * [backup-simplify]: Simplify (sqrt 1) into 1
6.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.002 * [backup-simplify]: Simplify (+ 0 0) into 0
6.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.003 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.003 * [taylor]: Taking taylor expansion of im in re
6.003 * [backup-simplify]: Simplify im into im
6.003 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.003 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.003 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.003 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.003 * [taylor]: Taking taylor expansion of re in re
6.003 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify 1 into 1
6.003 * [backup-simplify]: Simplify (* 1 1) into 1
6.003 * [backup-simplify]: Simplify (/ 1 1) into 1
6.004 * [backup-simplify]: Simplify (+ 0 1) into 1
6.004 * [backup-simplify]: Simplify (sqrt 1) into 1
6.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.005 * [backup-simplify]: Simplify (+ 0 0) into 0
6.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.005 * [taylor]: Taking taylor expansion of 1 in im
6.006 * [backup-simplify]: Simplify 1 into 1
6.006 * [taylor]: Taking taylor expansion of 0 in im
6.006 * [backup-simplify]: Simplify 0 into 0
6.006 * [backup-simplify]: Simplify 1 into 1
6.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.007 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.008 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.008 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.008 * [taylor]: Taking taylor expansion of 1/2 in im
6.008 * [backup-simplify]: Simplify 1/2 into 1/2
6.008 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.008 * [taylor]: Taking taylor expansion of im in im
6.008 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify 1 into 1
6.008 * [backup-simplify]: Simplify (* 1 1) into 1
6.009 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.009 * [backup-simplify]: Simplify 0 into 0
6.009 * [backup-simplify]: Simplify 0 into 0
6.010 * [backup-simplify]: Simplify 0 into 0
6.010 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.011 * [backup-simplify]: Simplify (+ 0 0) into 0
6.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.012 * [taylor]: Taking taylor expansion of 0 in im
6.012 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.014 * [backup-simplify]: Simplify 0 into 0
6.014 * [backup-simplify]: Simplify 0 into 0
6.014 * [backup-simplify]: Simplify 0 into 0
6.014 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.015 * [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))))
6.015 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.015 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.015 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.015 * [taylor]: Taking taylor expansion of im in im
6.015 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify 1 into 1
6.016 * [backup-simplify]: Simplify (* 1 1) into 1
6.016 * [backup-simplify]: Simplify (/ 1 1) into 1
6.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.016 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.016 * [taylor]: Taking taylor expansion of re in im
6.016 * [backup-simplify]: Simplify re into re
6.016 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.016 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.017 * [backup-simplify]: Simplify (+ 1 0) into 1
6.017 * [backup-simplify]: Simplify (sqrt 1) into 1
6.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.019 * [backup-simplify]: Simplify (+ 0 0) into 0
6.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.020 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.020 * [taylor]: Taking taylor expansion of im in re
6.020 * [backup-simplify]: Simplify im into im
6.020 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.020 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.020 * [taylor]: Taking taylor expansion of re in re
6.020 * [backup-simplify]: Simplify 0 into 0
6.020 * [backup-simplify]: Simplify 1 into 1
6.021 * [backup-simplify]: Simplify (* 1 1) into 1
6.021 * [backup-simplify]: Simplify (/ 1 1) into 1
6.022 * [backup-simplify]: Simplify (+ 0 1) into 1
6.022 * [backup-simplify]: Simplify (sqrt 1) into 1
6.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.024 * [backup-simplify]: Simplify (+ 0 0) into 0
6.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.024 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.024 * [taylor]: Taking taylor expansion of im in re
6.024 * [backup-simplify]: Simplify im into im
6.024 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.024 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.025 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.025 * [taylor]: Taking taylor expansion of re in re
6.025 * [backup-simplify]: Simplify 0 into 0
6.025 * [backup-simplify]: Simplify 1 into 1
6.025 * [backup-simplify]: Simplify (* 1 1) into 1
6.025 * [backup-simplify]: Simplify (/ 1 1) into 1
6.025 * [backup-simplify]: Simplify (+ 0 1) into 1
6.026 * [backup-simplify]: Simplify (sqrt 1) into 1
6.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.027 * [backup-simplify]: Simplify (+ 0 0) into 0
6.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.027 * [taylor]: Taking taylor expansion of 1 in im
6.027 * [backup-simplify]: Simplify 1 into 1
6.027 * [taylor]: Taking taylor expansion of 0 in im
6.027 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify 1 into 1
6.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.028 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.029 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.029 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.029 * [taylor]: Taking taylor expansion of 1/2 in im
6.029 * [backup-simplify]: Simplify 1/2 into 1/2
6.029 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.029 * [taylor]: Taking taylor expansion of im in im
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 1 into 1
6.030 * [backup-simplify]: Simplify (* 1 1) into 1
6.030 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.031 * [backup-simplify]: Simplify 0 into 0
6.031 * [backup-simplify]: Simplify 0 into 0
6.031 * [backup-simplify]: Simplify 0 into 0
6.031 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.033 * [backup-simplify]: Simplify (+ 0 0) into 0
6.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.033 * [taylor]: Taking taylor expansion of 0 in im
6.033 * [backup-simplify]: Simplify 0 into 0
6.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.034 * [backup-simplify]: Simplify 0 into 0
6.034 * [backup-simplify]: Simplify 0 into 0
6.034 * [backup-simplify]: Simplify 0 into 0
6.034 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.034 * * * [progress]: simplifying candidates
6.037 * [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)
6.040 * * [simplify]: Extracting # 0 : cost  0
6.040 * * [simplify]: Extracting # 1 : cost  0
6.041 * * [simplify]: Extracting # 2 : cost  0
6.041 * * [simplify]: Extracting # 3 : cost  0
6.041 * * [simplify]: Extracting # 4 : cost  0
6.041 * * [simplify]: Extracting # 5 : cost  0
6.041 * * [simplify]: Extracting # 6 : cost  0
6.042 * * [simplify]: Extracting # 7 : cost  0
6.042 * * [simplify]: iteration  0 :  133  enodes  (cost  3041 )
6.081 * * [simplify]: Extracting # 0 : cost  0
6.081 * * [simplify]: Extracting # 1 : cost  0
6.081 * * [simplify]: Extracting # 2 : cost  0
6.082 * * [simplify]: Extracting # 3 : cost  0
6.082 * * [simplify]: Extracting # 4 : cost  0
6.082 * * [simplify]: Extracting # 5 : cost  0
6.082 * * [simplify]: iteration  1 :  264  enodes  (cost  1733 )
6.163 * * [simplify]: Extracting # 0 : cost  0
6.170 * * [simplify]: Extracting # 1 : cost  0
6.171 * * [simplify]: Extracting # 2 : cost  0
6.173 * * [simplify]: Extracting # 3 : cost  0
6.174 * * [simplify]: Extracting # 4 : cost  0
6.175 * * [simplify]: Extracting # 5 : cost  0
6.177 * * [simplify]: iteration  2 :  706  enodes  (cost  1579 )
6.735 * * [simplify]: Extracting # 0 : cost  0
6.740 * * [simplify]: Extracting # 1 : cost  0
6.744 * * [simplify]: Extracting # 2 : cost  0
6.748 * * [simplify]: Extracting # 3 : cost  0
6.753 * * [simplify]: Extracting # 4 : cost  0
6.756 * * [simplify]: Extracting # 5 : cost  0
6.760 * * [simplify]: iteration  3 :  2108  enodes  (cost  1520 )
8.158 * * [simplify]: Extracting # 0 : cost  0
8.166 * * [simplify]: Extracting # 1 : cost  0
8.172 * * [simplify]: Extracting # 2 : cost  0
8.178 * * [simplify]: Extracting # 3 : cost  0
8.184 * * [simplify]: Extracting # 4 : cost  0
8.190 * * [simplify]: Extracting # 5 : cost  0
8.199 * * [simplify]: iteration done:  5001  enodes  (cost  1479 )
8.200 * [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)
8.202 * * * [progress]: adding candidates to table
8.613 * * [progress]: iteration 4 / 4
8.613 * * * [progress]: picking best candidate
8.640 * * * * [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)))))>
8.640 * * * [progress]: localizing error
8.677 * * * [progress]: generating rewritten candidates
8.677 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
8.694 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
8.711 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
8.773 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
8.791 * * * [progress]: generating series expansions
8.791 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1)
8.791 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.791 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.791 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.791 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.791 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.791 * [taylor]: Taking taylor expansion of re in im
8.791 * [backup-simplify]: Simplify re into re
8.791 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.791 * [taylor]: Taking taylor expansion of im in im
8.791 * [backup-simplify]: Simplify 0 into 0
8.791 * [backup-simplify]: Simplify 1 into 1
8.791 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.791 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.792 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.792 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.792 * [backup-simplify]: Simplify (+ 0 0) into 0
8.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.792 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.792 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.792 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.792 * [taylor]: Taking taylor expansion of re in re
8.792 * [backup-simplify]: Simplify 0 into 0
8.792 * [backup-simplify]: Simplify 1 into 1
8.792 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.792 * [taylor]: Taking taylor expansion of im in re
8.792 * [backup-simplify]: Simplify im into im
8.792 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.792 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.793 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.793 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.793 * [backup-simplify]: Simplify (+ 0 0) into 0
8.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.793 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.793 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.793 * [taylor]: Taking taylor expansion of re in re
8.793 * [backup-simplify]: Simplify 0 into 0
8.793 * [backup-simplify]: Simplify 1 into 1
8.793 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.793 * [taylor]: Taking taylor expansion of im in re
8.793 * [backup-simplify]: Simplify im into im
8.793 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.793 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.793 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.794 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.794 * [backup-simplify]: Simplify (+ 0 0) into 0
8.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.794 * [taylor]: Taking taylor expansion of im in im
8.794 * [backup-simplify]: Simplify 0 into 0
8.794 * [backup-simplify]: Simplify 1 into 1
8.794 * [backup-simplify]: Simplify 0 into 0
8.794 * [taylor]: Taking taylor expansion of 0 in im
8.794 * [backup-simplify]: Simplify 0 into 0
8.794 * [backup-simplify]: Simplify 0 into 0
8.794 * [backup-simplify]: Simplify 1 into 1
8.794 * [backup-simplify]: Simplify (* 1 1) into 1
8.795 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.795 * [backup-simplify]: Simplify (+ 1 0) into 1
8.796 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.796 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.796 * [taylor]: Taking taylor expansion of 1/2 in im
8.796 * [backup-simplify]: Simplify 1/2 into 1/2
8.796 * [taylor]: Taking taylor expansion of im in im
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify 1 into 1
8.796 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.797 * [backup-simplify]: Simplify 0 into 0
8.797 * [backup-simplify]: Simplify 0 into 0
8.797 * [backup-simplify]: Simplify 0 into 0
8.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.797 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.798 * [backup-simplify]: Simplify (+ 0 0) into 0
8.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.798 * [taylor]: Taking taylor expansion of 0 in im
8.798 * [backup-simplify]: Simplify 0 into 0
8.798 * [backup-simplify]: Simplify 0 into 0
8.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.799 * [backup-simplify]: Simplify 0 into 0
8.799 * [backup-simplify]: Simplify 0 into 0
8.799 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.799 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.799 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.799 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.799 * [taylor]: Taking taylor expansion of im in im
8.799 * [backup-simplify]: Simplify 0 into 0
8.799 * [backup-simplify]: Simplify 1 into 1
8.799 * [backup-simplify]: Simplify (* 1 1) into 1
8.799 * [backup-simplify]: Simplify (/ 1 1) into 1
8.799 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.799 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.799 * [taylor]: Taking taylor expansion of re in im
8.800 * [backup-simplify]: Simplify re into re
8.800 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.800 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.800 * [backup-simplify]: Simplify (+ 1 0) into 1
8.801 * [backup-simplify]: Simplify (sqrt 1) into 1
8.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.802 * [backup-simplify]: Simplify (+ 0 0) into 0
8.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.804 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.804 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.804 * [taylor]: Taking taylor expansion of im in re
8.804 * [backup-simplify]: Simplify im into im
8.804 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.804 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.804 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.804 * [taylor]: Taking taylor expansion of re in re
8.804 * [backup-simplify]: Simplify 0 into 0
8.804 * [backup-simplify]: Simplify 1 into 1
8.805 * [backup-simplify]: Simplify (* 1 1) into 1
8.805 * [backup-simplify]: Simplify (/ 1 1) into 1
8.805 * [backup-simplify]: Simplify (+ 0 1) into 1
8.806 * [backup-simplify]: Simplify (sqrt 1) into 1
8.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.808 * [backup-simplify]: Simplify (+ 0 0) into 0
8.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.813 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.813 * [taylor]: Taking taylor expansion of im in re
8.813 * [backup-simplify]: Simplify im into im
8.813 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.814 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.814 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.814 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.814 * [taylor]: Taking taylor expansion of re in re
8.814 * [backup-simplify]: Simplify 0 into 0
8.814 * [backup-simplify]: Simplify 1 into 1
8.814 * [backup-simplify]: Simplify (* 1 1) into 1
8.814 * [backup-simplify]: Simplify (/ 1 1) into 1
8.815 * [backup-simplify]: Simplify (+ 0 1) into 1
8.815 * [backup-simplify]: Simplify (sqrt 1) into 1
8.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.816 * [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 1 in im
8.816 * [backup-simplify]: Simplify 1 into 1
8.816 * [taylor]: Taking taylor expansion of 0 in im
8.816 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 1 into 1
8.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.818 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.819 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.819 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.819 * [taylor]: Taking taylor expansion of 1/2 in im
8.819 * [backup-simplify]: Simplify 1/2 into 1/2
8.819 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.819 * [taylor]: Taking taylor expansion of im in im
8.819 * [backup-simplify]: Simplify 0 into 0
8.819 * [backup-simplify]: Simplify 1 into 1
8.819 * [backup-simplify]: Simplify (* 1 1) into 1
8.819 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.820 * [backup-simplify]: Simplify 0 into 0
8.820 * [backup-simplify]: Simplify 0 into 0
8.820 * [backup-simplify]: Simplify 0 into 0
8.820 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.822 * [backup-simplify]: Simplify (+ 0 0) into 0
8.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.822 * [taylor]: Taking taylor expansion of 0 in im
8.822 * [backup-simplify]: Simplify 0 into 0
8.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.823 * [backup-simplify]: Simplify 0 into 0
8.823 * [backup-simplify]: Simplify 0 into 0
8.823 * [backup-simplify]: Simplify 0 into 0
8.824 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.824 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.824 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.824 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.824 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.824 * [taylor]: Taking taylor expansion of im in im
8.824 * [backup-simplify]: Simplify 0 into 0
8.824 * [backup-simplify]: Simplify 1 into 1
8.824 * [backup-simplify]: Simplify (* 1 1) into 1
8.824 * [backup-simplify]: Simplify (/ 1 1) into 1
8.824 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.824 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.824 * [taylor]: Taking taylor expansion of re in im
8.824 * [backup-simplify]: Simplify re into re
8.825 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.825 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.825 * [backup-simplify]: Simplify (+ 1 0) into 1
8.825 * [backup-simplify]: Simplify (sqrt 1) into 1
8.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.826 * [backup-simplify]: Simplify (+ 0 0) into 0
8.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.827 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.827 * [taylor]: Taking taylor expansion of im in re
8.827 * [backup-simplify]: Simplify im into im
8.827 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.827 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.827 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.827 * [taylor]: Taking taylor expansion of re in re
8.827 * [backup-simplify]: Simplify 0 into 0
8.827 * [backup-simplify]: Simplify 1 into 1
8.827 * [backup-simplify]: Simplify (* 1 1) into 1
8.827 * [backup-simplify]: Simplify (/ 1 1) into 1
8.828 * [backup-simplify]: Simplify (+ 0 1) into 1
8.828 * [backup-simplify]: Simplify (sqrt 1) into 1
8.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.829 * [backup-simplify]: Simplify (+ 0 0) into 0
8.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.830 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.830 * [taylor]: Taking taylor expansion of im in re
8.830 * [backup-simplify]: Simplify im into im
8.830 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.830 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.830 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.830 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.830 * [taylor]: Taking taylor expansion of re in re
8.830 * [backup-simplify]: Simplify 0 into 0
8.830 * [backup-simplify]: Simplify 1 into 1
8.830 * [backup-simplify]: Simplify (* 1 1) into 1
8.830 * [backup-simplify]: Simplify (/ 1 1) into 1
8.831 * [backup-simplify]: Simplify (+ 0 1) into 1
8.831 * [backup-simplify]: Simplify (sqrt 1) into 1
8.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.832 * [backup-simplify]: Simplify (+ 0 0) into 0
8.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.832 * [taylor]: Taking taylor expansion of 1 in im
8.832 * [backup-simplify]: Simplify 1 into 1
8.832 * [taylor]: Taking taylor expansion of 0 in im
8.832 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify 1 into 1
8.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.834 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.835 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.835 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.835 * [taylor]: Taking taylor expansion of 1/2 in im
8.835 * [backup-simplify]: Simplify 1/2 into 1/2
8.835 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.835 * [taylor]: Taking taylor expansion of im in im
8.835 * [backup-simplify]: Simplify 0 into 0
8.835 * [backup-simplify]: Simplify 1 into 1
8.835 * [backup-simplify]: Simplify (* 1 1) into 1
8.835 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.838 * [backup-simplify]: Simplify (+ 0 0) into 0
8.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.838 * [taylor]: Taking taylor expansion of 0 in im
8.838 * [backup-simplify]: Simplify 0 into 0
8.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.839 * [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 0 into 0
8.840 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.840 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
8.840 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.840 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.840 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.840 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.840 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.840 * [taylor]: Taking taylor expansion of re in im
8.840 * [backup-simplify]: Simplify re into re
8.840 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.840 * [taylor]: Taking taylor expansion of im in im
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify 1 into 1
8.840 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.840 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.840 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.840 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.841 * [backup-simplify]: Simplify (+ 0 0) into 0
8.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.841 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.841 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.841 * [taylor]: Taking taylor expansion of re in re
8.841 * [backup-simplify]: Simplify 0 into 0
8.841 * [backup-simplify]: Simplify 1 into 1
8.841 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.841 * [taylor]: Taking taylor expansion of im in re
8.841 * [backup-simplify]: Simplify im into im
8.841 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.841 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.841 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.841 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.841 * [backup-simplify]: Simplify (+ 0 0) into 0
8.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.842 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.842 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.842 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.842 * [taylor]: Taking taylor expansion of re in re
8.842 * [backup-simplify]: Simplify 0 into 0
8.842 * [backup-simplify]: Simplify 1 into 1
8.842 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.842 * [taylor]: Taking taylor expansion of im in re
8.842 * [backup-simplify]: Simplify im into im
8.842 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.842 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.842 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.842 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.842 * [backup-simplify]: Simplify (+ 0 0) into 0
8.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.842 * [taylor]: Taking taylor expansion of im in im
8.842 * [backup-simplify]: Simplify 0 into 0
8.842 * [backup-simplify]: Simplify 1 into 1
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [taylor]: Taking taylor expansion of 0 in im
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify 1 into 1
8.843 * [backup-simplify]: Simplify (* 1 1) into 1
8.843 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.843 * [backup-simplify]: Simplify (+ 1 0) into 1
8.844 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.844 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.844 * [taylor]: Taking taylor expansion of 1/2 in im
8.844 * [backup-simplify]: Simplify 1/2 into 1/2
8.844 * [taylor]: Taking taylor expansion of im in im
8.844 * [backup-simplify]: Simplify 0 into 0
8.844 * [backup-simplify]: Simplify 1 into 1
8.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.845 * [backup-simplify]: Simplify 0 into 0
8.845 * [backup-simplify]: Simplify 0 into 0
8.845 * [backup-simplify]: Simplify 0 into 0
8.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.846 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.846 * [backup-simplify]: Simplify (+ 0 0) into 0
8.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.846 * [taylor]: Taking taylor expansion of 0 in im
8.846 * [backup-simplify]: Simplify 0 into 0
8.846 * [backup-simplify]: Simplify 0 into 0
8.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.847 * [backup-simplify]: Simplify 0 into 0
8.847 * [backup-simplify]: Simplify 0 into 0
8.847 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.847 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.847 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.847 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.847 * [taylor]: Taking taylor expansion of im in im
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
8.848 * [backup-simplify]: Simplify (/ 1 1) into 1
8.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.848 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.848 * [taylor]: Taking taylor expansion of re in im
8.848 * [backup-simplify]: Simplify re into re
8.848 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.848 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.848 * [backup-simplify]: Simplify (+ 1 0) into 1
8.849 * [backup-simplify]: Simplify (sqrt 1) into 1
8.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.850 * [backup-simplify]: Simplify (+ 0 0) into 0
8.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.850 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.850 * [taylor]: Taking taylor expansion of im in re
8.850 * [backup-simplify]: Simplify im into im
8.850 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.850 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.850 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.850 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.850 * [taylor]: Taking taylor expansion of re in re
8.850 * [backup-simplify]: Simplify 0 into 0
8.850 * [backup-simplify]: Simplify 1 into 1
8.851 * [backup-simplify]: Simplify (* 1 1) into 1
8.851 * [backup-simplify]: Simplify (/ 1 1) into 1
8.851 * [backup-simplify]: Simplify (+ 0 1) into 1
8.851 * [backup-simplify]: Simplify (sqrt 1) into 1
8.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.852 * [backup-simplify]: Simplify (+ 0 0) into 0
8.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.853 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.853 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.853 * [taylor]: Taking taylor expansion of im in re
8.853 * [backup-simplify]: Simplify im into im
8.853 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.853 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.853 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.853 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.853 * [taylor]: Taking taylor expansion of re in re
8.853 * [backup-simplify]: Simplify 0 into 0
8.853 * [backup-simplify]: Simplify 1 into 1
8.854 * [backup-simplify]: Simplify (* 1 1) into 1
8.854 * [backup-simplify]: Simplify (/ 1 1) into 1
8.854 * [backup-simplify]: Simplify (+ 0 1) into 1
8.854 * [backup-simplify]: Simplify (sqrt 1) into 1
8.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.856 * [backup-simplify]: Simplify (+ 0 0) into 0
8.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.856 * [taylor]: Taking taylor expansion of 1 in im
8.856 * [backup-simplify]: Simplify 1 into 1
8.856 * [taylor]: Taking taylor expansion of 0 in im
8.856 * [backup-simplify]: Simplify 0 into 0
8.857 * [backup-simplify]: Simplify 1 into 1
8.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.859 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.860 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.860 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.860 * [taylor]: Taking taylor expansion of 1/2 in im
8.860 * [backup-simplify]: Simplify 1/2 into 1/2
8.860 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.860 * [taylor]: Taking taylor expansion of im in im
8.860 * [backup-simplify]: Simplify 0 into 0
8.860 * [backup-simplify]: Simplify 1 into 1
8.861 * [backup-simplify]: Simplify (* 1 1) into 1
8.861 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.865 * [backup-simplify]: Simplify (+ 0 0) into 0
8.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.866 * [taylor]: Taking taylor expansion of 0 in im
8.866 * [backup-simplify]: Simplify 0 into 0
8.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.868 * [backup-simplify]: Simplify 0 into 0
8.868 * [backup-simplify]: Simplify 0 into 0
8.868 * [backup-simplify]: Simplify 0 into 0
8.868 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.869 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.869 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.869 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.869 * [taylor]: Taking taylor expansion of im in im
8.869 * [backup-simplify]: Simplify 0 into 0
8.869 * [backup-simplify]: Simplify 1 into 1
8.869 * [backup-simplify]: Simplify (* 1 1) into 1
8.870 * [backup-simplify]: Simplify (/ 1 1) into 1
8.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.870 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.870 * [taylor]: Taking taylor expansion of re in im
8.870 * [backup-simplify]: Simplify re into re
8.870 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.870 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.871 * [backup-simplify]: Simplify (+ 1 0) into 1
8.871 * [backup-simplify]: Simplify (sqrt 1) into 1
8.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.872 * [backup-simplify]: Simplify (+ 0 0) into 0
8.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.873 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.873 * [taylor]: Taking taylor expansion of im in re
8.873 * [backup-simplify]: Simplify im into im
8.873 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.873 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.873 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.873 * [taylor]: Taking taylor expansion of re in re
8.873 * [backup-simplify]: Simplify 0 into 0
8.873 * [backup-simplify]: Simplify 1 into 1
8.873 * [backup-simplify]: Simplify (* 1 1) into 1
8.874 * [backup-simplify]: Simplify (/ 1 1) into 1
8.874 * [backup-simplify]: Simplify (+ 0 1) into 1
8.874 * [backup-simplify]: Simplify (sqrt 1) into 1
8.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.875 * [backup-simplify]: Simplify (+ 0 0) into 0
8.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.876 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.876 * [taylor]: Taking taylor expansion of im in re
8.876 * [backup-simplify]: Simplify im into im
8.876 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.876 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.876 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.876 * [taylor]: Taking taylor expansion of re in re
8.876 * [backup-simplify]: Simplify 0 into 0
8.876 * [backup-simplify]: Simplify 1 into 1
8.877 * [backup-simplify]: Simplify (* 1 1) into 1
8.877 * [backup-simplify]: Simplify (/ 1 1) into 1
8.878 * [backup-simplify]: Simplify (+ 0 1) into 1
8.878 * [backup-simplify]: Simplify (sqrt 1) into 1
8.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.880 * [backup-simplify]: Simplify (+ 0 0) into 0
8.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.881 * [taylor]: Taking taylor expansion of 1 in im
8.881 * [backup-simplify]: Simplify 1 into 1
8.881 * [taylor]: Taking taylor expansion of 0 in im
8.881 * [backup-simplify]: Simplify 0 into 0
8.881 * [backup-simplify]: Simplify 1 into 1
8.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.883 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.884 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.884 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.885 * [taylor]: Taking taylor expansion of 1/2 in im
8.885 * [backup-simplify]: Simplify 1/2 into 1/2
8.885 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.885 * [taylor]: Taking taylor expansion of im in im
8.885 * [backup-simplify]: Simplify 0 into 0
8.885 * [backup-simplify]: Simplify 1 into 1
8.885 * [backup-simplify]: Simplify (* 1 1) into 1
8.886 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.887 * [backup-simplify]: Simplify 0 into 0
8.887 * [backup-simplify]: Simplify 0 into 0
8.887 * [backup-simplify]: Simplify 0 into 0
8.887 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.890 * [backup-simplify]: Simplify (+ 0 0) into 0
8.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.891 * [taylor]: Taking taylor expansion of 0 in im
8.891 * [backup-simplify]: Simplify 0 into 0
8.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.893 * [backup-simplify]: Simplify 0 into 0
8.893 * [backup-simplify]: Simplify 0 into 0
8.893 * [backup-simplify]: Simplify 0 into 0
8.893 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.893 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
8.894 * [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))))
8.894 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
8.894 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
8.894 * [taylor]: Taking taylor expansion of re in im
8.894 * [backup-simplify]: Simplify re into re
8.894 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.894 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.894 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.894 * [taylor]: Taking taylor expansion of re in im
8.895 * [backup-simplify]: Simplify re into re
8.895 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.895 * [taylor]: Taking taylor expansion of im in im
8.895 * [backup-simplify]: Simplify 0 into 0
8.895 * [backup-simplify]: Simplify 1 into 1
8.895 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.895 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.895 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.895 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.896 * [backup-simplify]: Simplify (+ 0 0) into 0
8.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.896 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
8.896 * [taylor]: Taking taylor expansion of re in re
8.896 * [backup-simplify]: Simplify 0 into 0
8.896 * [backup-simplify]: Simplify 1 into 1
8.896 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.896 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.896 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.896 * [taylor]: Taking taylor expansion of re in re
8.896 * [backup-simplify]: Simplify 0 into 0
8.896 * [backup-simplify]: Simplify 1 into 1
8.896 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.896 * [taylor]: Taking taylor expansion of im in re
8.896 * [backup-simplify]: Simplify im into im
8.896 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.897 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.897 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.897 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.897 * [backup-simplify]: Simplify (+ 0 0) into 0
8.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.898 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
8.898 * [taylor]: Taking taylor expansion of re in re
8.898 * [backup-simplify]: Simplify 0 into 0
8.898 * [backup-simplify]: Simplify 1 into 1
8.898 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.898 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.898 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.898 * [taylor]: Taking taylor expansion of re in re
8.898 * [backup-simplify]: Simplify 0 into 0
8.898 * [backup-simplify]: Simplify 1 into 1
8.898 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.898 * [taylor]: Taking taylor expansion of im in re
8.898 * [backup-simplify]: Simplify im into im
8.898 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.898 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.898 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.899 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.899 * [backup-simplify]: Simplify (+ 0 0) into 0
8.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.899 * [backup-simplify]: Simplify (+ 0 im) into im
8.899 * [taylor]: Taking taylor expansion of im in im
8.899 * [backup-simplify]: Simplify 0 into 0
8.899 * [backup-simplify]: Simplify 1 into 1
8.899 * [backup-simplify]: Simplify 0 into 0
8.900 * [backup-simplify]: Simplify (+ 1 0) into 1
8.900 * [taylor]: Taking taylor expansion of 1 in im
8.900 * [backup-simplify]: Simplify 1 into 1
8.900 * [backup-simplify]: Simplify 1 into 1
8.900 * [backup-simplify]: Simplify 1 into 1
8.901 * [backup-simplify]: Simplify (* 1 1) into 1
8.901 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.902 * [backup-simplify]: Simplify (+ 1 0) into 1
8.902 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.902 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
8.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.903 * [taylor]: Taking taylor expansion of 1/2 in im
8.903 * [backup-simplify]: Simplify 1/2 into 1/2
8.903 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.903 * [taylor]: Taking taylor expansion of im in im
8.903 * [backup-simplify]: Simplify 0 into 0
8.903 * [backup-simplify]: Simplify 1 into 1
8.903 * [backup-simplify]: Simplify (/ 1 1) into 1
8.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.905 * [backup-simplify]: Simplify 0 into 0
8.905 * [backup-simplify]: Simplify 0 into 0
8.905 * [backup-simplify]: Simplify 0 into 0
8.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.907 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.907 * [backup-simplify]: Simplify (+ 0 0) into 0
8.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.908 * [backup-simplify]: Simplify (+ 0 0) into 0
8.908 * [taylor]: Taking taylor expansion of 0 in im
8.908 * [backup-simplify]: Simplify 0 into 0
8.908 * [backup-simplify]: Simplify 0 into 0
8.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.910 * [backup-simplify]: Simplify 0 into 0
8.910 * [backup-simplify]: Simplify 0 into 0
8.910 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
8.911 * [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)))))
8.911 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
8.911 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.911 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.911 * [taylor]: Taking taylor expansion of re in im
8.911 * [backup-simplify]: Simplify re into re
8.911 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.911 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.911 * [taylor]: Taking taylor expansion of im in im
8.911 * [backup-simplify]: Simplify 0 into 0
8.911 * [backup-simplify]: Simplify 1 into 1
8.912 * [backup-simplify]: Simplify (* 1 1) into 1
8.912 * [backup-simplify]: Simplify (/ 1 1) into 1
8.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.912 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.912 * [taylor]: Taking taylor expansion of re in im
8.912 * [backup-simplify]: Simplify re into re
8.912 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.913 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.913 * [backup-simplify]: Simplify (+ 1 0) into 1
8.913 * [backup-simplify]: Simplify (sqrt 1) into 1
8.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.915 * [backup-simplify]: Simplify (+ 0 0) into 0
8.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.916 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.916 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.916 * [taylor]: Taking taylor expansion of re in re
8.916 * [backup-simplify]: Simplify 0 into 0
8.916 * [backup-simplify]: Simplify 1 into 1
8.917 * [backup-simplify]: Simplify (/ 1 1) into 1
8.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.917 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.917 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.917 * [taylor]: Taking taylor expansion of im in re
8.917 * [backup-simplify]: Simplify im into im
8.917 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.917 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.917 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.917 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.917 * [taylor]: Taking taylor expansion of re in re
8.917 * [backup-simplify]: Simplify 0 into 0
8.917 * [backup-simplify]: Simplify 1 into 1
8.918 * [backup-simplify]: Simplify (* 1 1) into 1
8.918 * [backup-simplify]: Simplify (/ 1 1) into 1
8.919 * [backup-simplify]: Simplify (+ 0 1) into 1
8.919 * [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 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.921 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.922 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.922 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.922 * [taylor]: Taking taylor expansion of im in re
8.922 * [backup-simplify]: Simplify im into im
8.922 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.922 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.922 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.922 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.923 * [taylor]: Taking taylor expansion of re in re
8.923 * [backup-simplify]: Simplify 0 into 0
8.923 * [backup-simplify]: Simplify 1 into 1
8.923 * [backup-simplify]: Simplify (* 1 1) into 1
8.923 * [backup-simplify]: Simplify (/ 1 1) into 1
8.924 * [backup-simplify]: Simplify (+ 0 1) into 1
8.924 * [backup-simplify]: Simplify (sqrt 1) into 1
8.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.926 * [backup-simplify]: Simplify (+ 0 0) into 0
8.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.927 * [backup-simplify]: Simplify (+ 1 1) into 2
8.927 * [taylor]: Taking taylor expansion of 2 in im
8.927 * [backup-simplify]: Simplify 2 into 2
8.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.928 * [backup-simplify]: Simplify (+ 0 0) into 0
8.928 * [taylor]: Taking taylor expansion of 0 in im
8.928 * [backup-simplify]: Simplify 0 into 0
8.928 * [backup-simplify]: Simplify 2 into 2
8.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.931 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.932 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.932 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.932 * [taylor]: Taking taylor expansion of 1/2 in im
8.932 * [backup-simplify]: Simplify 1/2 into 1/2
8.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.932 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.932 * [taylor]: Taking taylor expansion of im in im
8.933 * [backup-simplify]: Simplify 0 into 0
8.933 * [backup-simplify]: Simplify 1 into 1
8.933 * [backup-simplify]: Simplify (* 1 1) into 1
8.933 * [backup-simplify]: Simplify (/ 1 1) into 1
8.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.934 * [backup-simplify]: Simplify 0 into 0
8.934 * [backup-simplify]: Simplify 0 into 0
8.934 * [backup-simplify]: Simplify 0 into 0
8.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.935 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.940 * [backup-simplify]: Simplify (+ 0 0) into 0
8.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.941 * [backup-simplify]: Simplify (+ 0 0) into 0
8.941 * [taylor]: Taking taylor expansion of 0 in im
8.941 * [backup-simplify]: Simplify 0 into 0
8.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.942 * [backup-simplify]: Simplify 0 into 0
8.942 * [backup-simplify]: Simplify 0 into 0
8.942 * [backup-simplify]: Simplify 0 into 0
8.942 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
8.943 * [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))
8.943 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
8.943 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.943 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.943 * [taylor]: Taking taylor expansion of im in im
8.943 * [backup-simplify]: Simplify 0 into 0
8.943 * [backup-simplify]: Simplify 1 into 1
8.944 * [backup-simplify]: Simplify (* 1 1) into 1
8.944 * [backup-simplify]: Simplify (/ 1 1) into 1
8.944 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.944 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.944 * [taylor]: Taking taylor expansion of re in im
8.944 * [backup-simplify]: Simplify re into re
8.944 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.944 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.944 * [backup-simplify]: Simplify (+ 1 0) into 1
8.945 * [backup-simplify]: Simplify (sqrt 1) into 1
8.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.946 * [backup-simplify]: Simplify (+ 0 0) into 0
8.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.946 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.946 * [taylor]: Taking taylor expansion of re in im
8.946 * [backup-simplify]: Simplify re into re
8.946 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.946 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.946 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.946 * [taylor]: Taking taylor expansion of im in re
8.946 * [backup-simplify]: Simplify im into im
8.946 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.946 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.947 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.947 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.947 * [taylor]: Taking taylor expansion of re in re
8.947 * [backup-simplify]: Simplify 0 into 0
8.947 * [backup-simplify]: Simplify 1 into 1
8.947 * [backup-simplify]: Simplify (* 1 1) into 1
8.947 * [backup-simplify]: Simplify (/ 1 1) into 1
8.947 * [backup-simplify]: Simplify (+ 0 1) into 1
8.948 * [backup-simplify]: Simplify (sqrt 1) into 1
8.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.949 * [backup-simplify]: Simplify (+ 0 0) into 0
8.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.949 * [taylor]: Taking taylor expansion of re in re
8.949 * [backup-simplify]: Simplify 0 into 0
8.949 * [backup-simplify]: Simplify 1 into 1
8.949 * [backup-simplify]: Simplify (/ 1 1) into 1
8.949 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.949 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.949 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.949 * [taylor]: Taking taylor expansion of im in re
8.949 * [backup-simplify]: Simplify im into im
8.950 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.950 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.950 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.950 * [taylor]: Taking taylor expansion of re in re
8.950 * [backup-simplify]: Simplify 0 into 0
8.950 * [backup-simplify]: Simplify 1 into 1
8.950 * [backup-simplify]: Simplify (* 1 1) into 1
8.950 * [backup-simplify]: Simplify (/ 1 1) into 1
8.950 * [backup-simplify]: Simplify (+ 0 1) into 1
8.951 * [backup-simplify]: Simplify (sqrt 1) into 1
8.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.952 * [backup-simplify]: Simplify (+ 0 0) into 0
8.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.952 * [taylor]: Taking taylor expansion of re in re
8.952 * [backup-simplify]: Simplify 0 into 0
8.952 * [backup-simplify]: Simplify 1 into 1
8.952 * [backup-simplify]: Simplify (/ 1 1) into 1
8.953 * [backup-simplify]: Simplify (- 1) into -1
8.953 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.953 * [taylor]: Taking taylor expansion of 0 in im
8.953 * [backup-simplify]: Simplify 0 into 0
8.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.954 * [backup-simplify]: Simplify (- 0) into 0
8.954 * [backup-simplify]: Simplify (+ 0 0) into 0
8.954 * [taylor]: Taking taylor expansion of 0 in im
8.954 * [backup-simplify]: Simplify 0 into 0
8.954 * [backup-simplify]: Simplify 0 into 0
8.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.955 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.956 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.957 * [backup-simplify]: Simplify (- 0) into 0
8.957 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.957 * [taylor]: Taking taylor expansion of 1/2 in im
8.957 * [backup-simplify]: Simplify 1/2 into 1/2
8.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.957 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.957 * [taylor]: Taking taylor expansion of im in im
8.957 * [backup-simplify]: Simplify 0 into 0
8.957 * [backup-simplify]: Simplify 1 into 1
8.958 * [backup-simplify]: Simplify (* 1 1) into 1
8.958 * [backup-simplify]: Simplify (/ 1 1) into 1
8.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.959 * [backup-simplify]: Simplify 0 into 0
8.959 * [backup-simplify]: Simplify 0 into 0
8.959 * [backup-simplify]: Simplify 0 into 0
8.959 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.961 * [backup-simplify]: Simplify (+ 0 0) into 0
8.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.962 * [backup-simplify]: Simplify (- 0) into 0
8.962 * [backup-simplify]: Simplify (+ 0 0) into 0
8.962 * [taylor]: Taking taylor expansion of 0 in im
8.962 * [backup-simplify]: Simplify 0 into 0
8.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.964 * [backup-simplify]: Simplify 0 into 0
8.964 * [backup-simplify]: Simplify 0 into 0
8.964 * [backup-simplify]: Simplify 0 into 0
8.964 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
8.965 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3)
8.965 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in (re im) around 0
8.965 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in im
8.965 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in im
8.965 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in im
8.965 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in im
8.965 * [taylor]: Taking taylor expansion of 1/8 in im
8.965 * [backup-simplify]: Simplify 1/8 into 1/8
8.965 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
8.965 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.965 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.965 * [taylor]: Taking taylor expansion of re in im
8.965 * [backup-simplify]: Simplify re into re
8.965 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.965 * [taylor]: Taking taylor expansion of im in im
8.965 * [backup-simplify]: Simplify 0 into 0
8.965 * [backup-simplify]: Simplify 1 into 1
8.965 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.965 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.966 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
8.966 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2)))
8.966 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8)
8.966 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
8.966 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
8.966 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
8.966 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
8.966 * [taylor]: Taking taylor expansion of 1/8 in re
8.966 * [backup-simplify]: Simplify 1/8 into 1/8
8.966 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
8.966 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.966 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.966 * [taylor]: Taking taylor expansion of re in re
8.966 * [backup-simplify]: Simplify 0 into 0
8.966 * [backup-simplify]: Simplify 1 into 1
8.966 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.966 * [taylor]: Taking taylor expansion of im in re
8.967 * [backup-simplify]: Simplify im into im
8.967 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.967 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.967 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
8.967 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
8.967 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
8.967 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
8.967 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
8.967 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
8.967 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
8.967 * [taylor]: Taking taylor expansion of 1/8 in re
8.967 * [backup-simplify]: Simplify 1/8 into 1/8
8.967 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
8.967 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.967 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.968 * [taylor]: Taking taylor expansion of re in re
8.968 * [backup-simplify]: Simplify 0 into 0
8.968 * [backup-simplify]: Simplify 1 into 1
8.968 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.968 * [taylor]: Taking taylor expansion of im in re
8.968 * [backup-simplify]: Simplify im into im
8.968 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.968 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.968 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
8.968 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
8.968 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
8.969 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (pow (pow im 2) 1/8)) into (sqrt im)
8.969 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (sqrt im)) into (pow (pow im 3) 1/4)
8.969 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im
8.969 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
8.969 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im
8.969 * [taylor]: Taking taylor expansion of 1/4 in im
8.969 * [backup-simplify]: Simplify 1/4 into 1/4
8.969 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im
8.969 * [taylor]: Taking taylor expansion of (pow im 3) in im
8.969 * [taylor]: Taking taylor expansion of im in im
8.969 * [backup-simplify]: Simplify 0 into 0
8.969 * [backup-simplify]: Simplify 1 into 1
8.970 * [backup-simplify]: Simplify (* 1 1) into 1
8.970 * [backup-simplify]: Simplify (* 1 1) into 1
8.971 * [backup-simplify]: Simplify (log 1) into 0
8.971 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
8.971 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im))
8.971 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4)
8.972 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4)
8.972 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.973 * [backup-simplify]: Simplify (+ 0 0) into 0
8.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
8.974 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow im 2)))) into 0
8.975 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.976 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (pow (pow im 2) 1/8))) into 0
8.976 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (sqrt im))) into 0
8.976 * [taylor]: Taking taylor expansion of 0 in im
8.976 * [backup-simplify]: Simplify 0 into 0
8.976 * [backup-simplify]: Simplify 0 into 0
8.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.979 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.979 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
8.980 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
8.981 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.981 * [backup-simplify]: Simplify 0 into 0
8.982 * [backup-simplify]: Simplify (* 1 1) into 1
8.982 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.983 * [backup-simplify]: Simplify (+ 1 0) into 1
8.985 * [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))
8.986 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/8 (/ 1 (pow im 2)))
8.987 * [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))
8.988 * [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))))
8.990 * [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))
8.990 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
8.990 * [taylor]: Taking taylor expansion of 3/8 in im
8.990 * [backup-simplify]: Simplify 3/8 into 3/8
8.990 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
8.990 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
8.990 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im
8.990 * [taylor]: Taking taylor expansion of 1/4 in im
8.990 * [backup-simplify]: Simplify 1/4 into 1/4
8.990 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
8.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
8.990 * [taylor]: Taking taylor expansion of (pow im 5) in im
8.990 * [taylor]: Taking taylor expansion of im in im
8.990 * [backup-simplify]: Simplify 0 into 0
8.990 * [backup-simplify]: Simplify 1 into 1
8.990 * [backup-simplify]: Simplify (* 1 1) into 1
8.991 * [backup-simplify]: Simplify (* 1 1) into 1
8.991 * [backup-simplify]: Simplify (* 1 1) into 1
8.991 * [backup-simplify]: Simplify (/ 1 1) into 1
8.992 * [backup-simplify]: Simplify (log 1) into 0
8.992 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
8.992 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
8.993 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
8.993 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
8.993 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
8.993 * [backup-simplify]: Simplify 0 into 0
8.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.998 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.999 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
8.999 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
9.000 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.000 * [backup-simplify]: Simplify 0 into 0
9.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.001 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.002 * [backup-simplify]: Simplify (+ 0 0) into 0
9.003 * [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
9.004 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
9.006 * [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
9.006 * [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
9.007 * [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
9.007 * [taylor]: Taking taylor expansion of 0 in im
9.007 * [backup-simplify]: Simplify 0 into 0
9.007 * [backup-simplify]: Simplify 0 into 0
9.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.010 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
9.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
9.011 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
9.011 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
9.011 * [backup-simplify]: Simplify 0 into 0
9.011 * [backup-simplify]: Simplify 0 into 0
9.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.015 * [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
9.016 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
9.016 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
9.017 * [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
9.017 * [backup-simplify]: Simplify 0 into 0
9.018 * [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))))
9.018 * [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)
9.018 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
9.018 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
9.018 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
9.018 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
9.018 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
9.018 * [taylor]: Taking taylor expansion of 1/8 in im
9.018 * [backup-simplify]: Simplify 1/8 into 1/8
9.018 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.018 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.018 * [taylor]: Taking taylor expansion of im in im
9.018 * [backup-simplify]: Simplify 0 into 0
9.018 * [backup-simplify]: Simplify 1 into 1
9.019 * [backup-simplify]: Simplify (* 1 1) into 1
9.019 * [backup-simplify]: Simplify (/ 1 1) into 1
9.019 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.019 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.019 * [taylor]: Taking taylor expansion of re in im
9.019 * [backup-simplify]: Simplify re into re
9.019 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.019 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.019 * [backup-simplify]: Simplify (+ 1 0) into 1
9.020 * [backup-simplify]: Simplify (log 1) into 0
9.020 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
9.020 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
9.020 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
9.020 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
9.020 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
9.020 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
9.020 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.020 * [taylor]: Taking taylor expansion of 1/8 in re
9.020 * [backup-simplify]: Simplify 1/8 into 1/8
9.020 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.020 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.020 * [taylor]: Taking taylor expansion of im in re
9.020 * [backup-simplify]: Simplify im into im
9.020 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.021 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.021 * [taylor]: Taking taylor expansion of re in re
9.021 * [backup-simplify]: Simplify 0 into 0
9.021 * [backup-simplify]: Simplify 1 into 1
9.021 * [backup-simplify]: Simplify (* 1 1) into 1
9.021 * [backup-simplify]: Simplify (/ 1 1) into 1
9.021 * [backup-simplify]: Simplify (+ 0 1) into 1
9.022 * [backup-simplify]: Simplify (log 1) into 0
9.022 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.022 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
9.022 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
9.022 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
9.022 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
9.022 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
9.022 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.022 * [taylor]: Taking taylor expansion of 1/8 in re
9.022 * [backup-simplify]: Simplify 1/8 into 1/8
9.022 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.022 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.022 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.022 * [taylor]: Taking taylor expansion of im in re
9.022 * [backup-simplify]: Simplify im into im
9.022 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.022 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.022 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.022 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.022 * [taylor]: Taking taylor expansion of re in re
9.022 * [backup-simplify]: Simplify 0 into 0
9.022 * [backup-simplify]: Simplify 1 into 1
9.023 * [backup-simplify]: Simplify (* 1 1) into 1
9.023 * [backup-simplify]: Simplify (/ 1 1) into 1
9.023 * [backup-simplify]: Simplify (+ 0 1) into 1
9.024 * [backup-simplify]: Simplify (log 1) into 0
9.024 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.024 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
9.024 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
9.024 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
9.024 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
9.024 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
9.024 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
9.024 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
9.024 * [taylor]: Taking taylor expansion of 1/4 in im
9.024 * [backup-simplify]: Simplify 1/4 into 1/4
9.024 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
9.024 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
9.024 * [taylor]: Taking taylor expansion of (pow re 3) in im
9.024 * [taylor]: Taking taylor expansion of re in im
9.025 * [backup-simplify]: Simplify re into re
9.025 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.025 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
9.025 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
9.025 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
9.025 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
9.025 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
9.025 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
9.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.027 * [backup-simplify]: Simplify (+ 0 0) into 0
9.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.028 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.028 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
9.028 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
9.029 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
9.029 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
9.029 * [taylor]: Taking taylor expansion of 0 in im
9.029 * [backup-simplify]: Simplify 0 into 0
9.029 * [backup-simplify]: Simplify 0 into 0
9.029 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.029 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
9.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
9.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
9.030 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
9.031 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.031 * [backup-simplify]: Simplify 0 into 0
9.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.032 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.033 * [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))
9.034 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.034 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
9.035 * [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))))
9.036 * [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))))
9.037 * [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))))
9.037 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
9.037 * [taylor]: Taking taylor expansion of 3/8 in im
9.037 * [backup-simplify]: Simplify 3/8 into 3/8
9.037 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
9.037 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
9.037 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
9.037 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
9.037 * [taylor]: Taking taylor expansion of 1/4 in im
9.037 * [backup-simplify]: Simplify 1/4 into 1/4
9.037 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
9.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
9.037 * [taylor]: Taking taylor expansion of (pow re 3) in im
9.037 * [taylor]: Taking taylor expansion of re in im
9.037 * [backup-simplify]: Simplify re into re
9.037 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.037 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
9.037 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
9.037 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
9.037 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
9.037 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
9.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.037 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.037 * [taylor]: Taking taylor expansion of im in im
9.037 * [backup-simplify]: Simplify 0 into 0
9.037 * [backup-simplify]: Simplify 1 into 1
9.038 * [backup-simplify]: Simplify (* 1 1) into 1
9.038 * [backup-simplify]: Simplify (/ 1 1) into 1
9.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.040 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.040 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
9.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
9.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
9.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
9.042 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.042 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.042 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
9.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
9.044 * [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
9.045 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
9.047 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.048 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
9.049 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
9.049 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
9.050 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
9.050 * [backup-simplify]: Simplify 0 into 0
9.050 * [backup-simplify]: Simplify 0 into 0
9.050 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.051 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
9.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
9.059 * [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
9.060 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
9.062 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.062 * [backup-simplify]: Simplify 0 into 0
9.062 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.065 * [backup-simplify]: Simplify (+ 0 0) into 0
9.069 * [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
9.069 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.070 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
9.073 * [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
9.074 * [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
9.075 * [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
9.075 * [taylor]: Taking taylor expansion of 0 in im
9.075 * [backup-simplify]: Simplify 0 into 0
9.075 * [backup-simplify]: Simplify 0 into 0
9.075 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4)
9.076 * [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)
9.076 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
9.076 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
9.076 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
9.076 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
9.076 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
9.076 * [taylor]: Taking taylor expansion of 1/8 in im
9.076 * [backup-simplify]: Simplify 1/8 into 1/8
9.076 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.076 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.076 * [taylor]: Taking taylor expansion of im in im
9.076 * [backup-simplify]: Simplify 0 into 0
9.076 * [backup-simplify]: Simplify 1 into 1
9.077 * [backup-simplify]: Simplify (* 1 1) into 1
9.077 * [backup-simplify]: Simplify (/ 1 1) into 1
9.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.077 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.077 * [taylor]: Taking taylor expansion of re in im
9.077 * [backup-simplify]: Simplify re into re
9.077 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.077 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.078 * [backup-simplify]: Simplify (+ 1 0) into 1
9.078 * [backup-simplify]: Simplify (log 1) into 0
9.079 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
9.079 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
9.079 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
9.079 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
9.079 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
9.079 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
9.079 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.079 * [taylor]: Taking taylor expansion of 1/8 in re
9.079 * [backup-simplify]: Simplify 1/8 into 1/8
9.079 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.079 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.079 * [taylor]: Taking taylor expansion of im in re
9.079 * [backup-simplify]: Simplify im into im
9.079 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.080 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.080 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.080 * [taylor]: Taking taylor expansion of re in re
9.080 * [backup-simplify]: Simplify 0 into 0
9.080 * [backup-simplify]: Simplify 1 into 1
9.080 * [backup-simplify]: Simplify (* 1 1) into 1
9.081 * [backup-simplify]: Simplify (/ 1 1) into 1
9.081 * [backup-simplify]: Simplify (+ 0 1) into 1
9.081 * [backup-simplify]: Simplify (log 1) into 0
9.082 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.082 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
9.082 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
9.082 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
9.082 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
9.082 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
9.082 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.082 * [taylor]: Taking taylor expansion of 1/8 in re
9.082 * [backup-simplify]: Simplify 1/8 into 1/8
9.082 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.082 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.082 * [taylor]: Taking taylor expansion of im in re
9.082 * [backup-simplify]: Simplify im into im
9.083 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.083 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.083 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.083 * [taylor]: Taking taylor expansion of re in re
9.083 * [backup-simplify]: Simplify 0 into 0
9.083 * [backup-simplify]: Simplify 1 into 1
9.083 * [backup-simplify]: Simplify (* 1 1) into 1
9.084 * [backup-simplify]: Simplify (/ 1 1) into 1
9.084 * [backup-simplify]: Simplify (+ 0 1) into 1
9.084 * [backup-simplify]: Simplify (log 1) into 0
9.085 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.085 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
9.085 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
9.085 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
9.086 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
9.086 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
9.086 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
9.086 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
9.086 * [taylor]: Taking taylor expansion of 1/4 in im
9.086 * [backup-simplify]: Simplify 1/4 into 1/4
9.086 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
9.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
9.086 * [taylor]: Taking taylor expansion of (pow re 3) in im
9.086 * [taylor]: Taking taylor expansion of re in im
9.086 * [backup-simplify]: Simplify re into re
9.086 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.086 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
9.086 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
9.087 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
9.087 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
9.087 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
9.087 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
9.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.089 * [backup-simplify]: Simplify (+ 0 0) into 0
9.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.091 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.092 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
9.092 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
9.093 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
9.093 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
9.093 * [taylor]: Taking taylor expansion of 0 in im
9.093 * [backup-simplify]: Simplify 0 into 0
9.093 * [backup-simplify]: Simplify 0 into 0
9.093 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.093 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
9.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
9.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
9.095 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
9.096 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.096 * [backup-simplify]: Simplify 0 into 0
9.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.098 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.101 * [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))
9.101 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.102 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
9.103 * [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))))
9.104 * [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))))
9.106 * [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))))
9.106 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
9.106 * [taylor]: Taking taylor expansion of 3/8 in im
9.106 * [backup-simplify]: Simplify 3/8 into 3/8
9.106 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
9.106 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
9.106 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
9.106 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
9.106 * [taylor]: Taking taylor expansion of 1/4 in im
9.106 * [backup-simplify]: Simplify 1/4 into 1/4
9.107 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
9.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
9.107 * [taylor]: Taking taylor expansion of (pow re 3) in im
9.107 * [taylor]: Taking taylor expansion of re in im
9.107 * [backup-simplify]: Simplify re into re
9.107 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.107 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
9.107 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
9.107 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
9.107 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
9.108 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
9.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.108 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.108 * [taylor]: Taking taylor expansion of im in im
9.108 * [backup-simplify]: Simplify 0 into 0
9.108 * [backup-simplify]: Simplify 1 into 1
9.108 * [backup-simplify]: Simplify (* 1 1) into 1
9.109 * [backup-simplify]: Simplify (/ 1 1) into 1
9.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.112 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.112 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
9.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
9.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
9.114 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
9.116 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.116 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.116 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
9.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
9.118 * [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
9.118 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
9.119 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.120 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
9.120 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
9.120 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
9.121 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.122 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
9.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
9.123 * [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
9.124 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
9.124 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.124 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.126 * [backup-simplify]: Simplify (+ 0 0) into 0
9.128 * [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
9.129 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
9.129 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
9.130 * [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
9.131 * [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
9.132 * [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
9.132 * [taylor]: Taking taylor expansion of 0 in im
9.132 * [backup-simplify]: Simplify 0 into 0
9.132 * [backup-simplify]: Simplify 0 into 0
9.132 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4)
9.132 * * * [progress]: simplifying candidates
9.133 * [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)
9.136 * * [simplify]: Extracting # 0 : cost  0
9.136 * * [simplify]: Extracting # 1 : cost  0
9.136 * * [simplify]: Extracting # 2 : cost  0
9.136 * * [simplify]: Extracting # 3 : cost  0
9.137 * * [simplify]: Extracting # 4 : cost  0
9.137 * * [simplify]: Extracting # 5 : cost  0
9.137 * * [simplify]: Extracting # 6 : cost  0
9.137 * * [simplify]: Extracting # 7 : cost  0
9.137 * * [simplify]: Extracting # 8 : cost  0
9.138 * * [simplify]: Extracting # 9 : cost  0
9.138 * * [simplify]: iteration  0 :  151  enodes  (cost  1948 )
9.219 * * [simplify]: Extracting # 0 : cost  0
9.220 * * [simplify]: Extracting # 1 : cost  0
9.220 * * [simplify]: Extracting # 2 : cost  0
9.221 * * [simplify]: Extracting # 3 : cost  0
9.221 * * [simplify]: Extracting # 4 : cost  0
9.221 * * [simplify]: Extracting # 5 : cost  0
9.222 * * [simplify]: Extracting # 6 : cost  0
9.222 * * [simplify]: iteration  1 :  395  enodes  (cost  1446 )
9.384 * * [simplify]: Extracting # 0 : cost  0
9.385 * * [simplify]: Extracting # 1 : cost  0
9.387 * * [simplify]: Extracting # 2 : cost  0
9.388 * * [simplify]: Extracting # 3 : cost  0
9.390 * * [simplify]: Extracting # 4 : cost  0
9.392 * * [simplify]: Extracting # 5 : cost  0
9.394 * * [simplify]: Extracting # 6 : cost  0
9.396 * * [simplify]: iteration  2 :  977  enodes  (cost  1345 )
10.352 * * [simplify]: Extracting # 0 : cost  0
10.364 * * [simplify]: Extracting # 1 : cost  0
10.371 * * [simplify]: Extracting # 2 : cost  0
10.377 * * [simplify]: Extracting # 3 : cost  0
10.388 * * [simplify]: Extracting # 4 : cost  0
10.400 * * [simplify]: iteration done:  5000  enodes  (cost  1281 )
10.401 * [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)
10.403 * * * [progress]: adding candidates to table
10.872 * [progress]: [Phase 3 of 3] Extracting.
10.872 * * [regime]: Finding splitpoints for: (#<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 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)) (sqrt (sqrt (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 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))>)
10.875 * * * [regime-changes]: Trying 4 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) im re)
10.875 * * * * [regimes]: Trying to branch on (* im im) from (#<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 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)) (sqrt (sqrt (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 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))>)
10.946 * * * * [regimes]: Trying to branch on (* im im) from (#<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 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)) (sqrt (sqrt (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 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))>)
11.009 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<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 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)) (sqrt (sqrt (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 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))>)
11.078 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>)
11.115 * * * * [regimes]: Trying to branch on im from (#<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 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)) (sqrt (sqrt (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 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))>)
11.199 * * * * [regimes]: Trying to branch on re from (#<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 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)) (sqrt (sqrt (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 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))>)
11.307 * * * [regime]: Found split indices: #<option (#s(si 6 130) #s(si 4 211) #s(si 2 255))>
11.308 * [binary-search]: Improving bounds with binary search for re and (#<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 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)) (sqrt (sqrt (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 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))>)
11.432 * [regimes]: Found splitpoints: (#s(sp 6 re -3.2587003084137343e-288) #s(sp 4 re 1.0159335777475273e+138) #s(sp 2 re +nan.0)) , with alts (#<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 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (exp (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)) (sqrt (sqrt (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 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))>)
11.432 * [simplify]: Simplifying:
  (if (<= re -3.2587003084137343e-288) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 1.0159335777475273e+138) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
11.432 * * [simplify]: Extracting # 0 : cost  0
11.432 * * [simplify]: Extracting # 1 : cost  0
11.432 * * [simplify]: Extracting # 2 : cost  0
11.432 * * [simplify]: Extracting # 3 : cost  0
11.432 * * [simplify]: Extracting # 4 : cost  0
11.432 * * [simplify]: Extracting # 5 : cost  0
11.432 * * [simplify]: Extracting # 6 : cost  0
11.433 * * [simplify]: Extracting # 7 : cost  0
11.433 * * [simplify]: Extracting # 8 : cost  0
11.433 * * [simplify]: Extracting # 9 : cost  0
11.433 * * [simplify]: Extracting # 10 : cost  0
11.433 * * [simplify]: Extracting # 11 : cost  0
11.433 * * [simplify]: Extracting # 12 : cost  0
11.433 * * [simplify]: Extracting # 13 : cost  0
11.433 * * [simplify]: Extracting # 14 : cost  0
11.433 * * [simplify]: Extracting # 15 : cost  0
11.434 * * [simplify]: Extracting # 16 : cost  0
11.434 * * [simplify]: iteration  0 :  36  enodes  (cost  74 )
11.435 * * [simplify]: Extracting # 0 : cost  0
11.435 * * [simplify]: iteration  1 :  46  enodes  (cost  74 )
11.437 * * [simplify]: Extracting # 0 : cost  0
11.437 * * [simplify]: iteration done:  46  enodes  (cost  74 )
11.437 * [simplify]: Simplified to:
  (if (<= re -3.2587003084137343e-288) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 1.0159335777475273e+138) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
14.349 * [regime-testing]: Baseline error score: 38.705039603487904
14.349 * [regime-testing]: Oracle error score: 17.445950708694966
14.351 * [regime-testing]: End program error score: 26.389273054398377
14.433 * [regime-testing]: Target error score: 33.69614911227882