17.544 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.060 * * * [progress]: [2/2] Setting up program.
0.065 * [progress]: [Phase 2 of 3] Improving.
0.065 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.066 * * [simplify]: Extracting # 0 : cost  0
0.066 * * [simplify]: Extracting # 1 : cost  0
0.066 * * [simplify]: Extracting # 2 : cost  0
0.066 * * [simplify]: Extracting # 3 : cost  0
0.066 * * [simplify]: Extracting # 4 : cost  0
0.066 * * [simplify]: Extracting # 5 : cost  0
0.066 * * [simplify]: Extracting # 6 : cost  0
0.066 * * [simplify]: Extracting # 7 : cost  0
0.066 * * [simplify]: Extracting # 8 : cost  0
0.066 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.071 * * [simplify]: Extracting # 0 : cost  0
0.071 * * [simplify]: Extracting # 1 : cost  0
0.071 * * [simplify]: Extracting # 2 : cost  0
0.071 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.079 * * [simplify]: Extracting # 0 : cost  0
0.079 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.087 * * [simplify]: Extracting # 0 : cost  0
0.087 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.087 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.088 * * [progress]: iteration 1 / 4
0.088 * * * [progress]: picking best candidate
0.093 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.093 * * * [progress]: localizing error
0.135 * * * [progress]: generating rewritten candidates
0.135 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.144 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.195 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.244 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.254 * * * [progress]: generating series expansions
0.254 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.254 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.254 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.254 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.254 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.254 * [taylor]: Taking taylor expansion of re in im
0.254 * [backup-simplify]: Simplify re into re
0.254 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.254 * [taylor]: Taking taylor expansion of im in im
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.254 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.254 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.254 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.255 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.255 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.255 * [taylor]: Taking taylor expansion of re in re
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.255 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.255 * [taylor]: Taking taylor expansion of im in re
0.255 * [backup-simplify]: Simplify im into im
0.255 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.255 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.255 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.255 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.256 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.256 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.256 * [taylor]: Taking taylor expansion of re in re
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.256 * [taylor]: Taking taylor expansion of im in re
0.256 * [backup-simplify]: Simplify im into im
0.256 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.256 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.256 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.256 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.257 * [taylor]: Taking taylor expansion of im in im
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [taylor]: Taking taylor expansion of 0 in im
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (* 1 1) into 1
0.257 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.258 * [backup-simplify]: Simplify (+ 1 0) into 1
0.258 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.258 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.258 * [taylor]: Taking taylor expansion of 1/2 in im
0.258 * [backup-simplify]: Simplify 1/2 into 1/2
0.258 * [taylor]: Taking taylor expansion of im in im
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.260 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.260 * [taylor]: Taking taylor expansion of 0 in im
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.261 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.261 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.261 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.261 * [taylor]: Taking taylor expansion of im in im
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.262 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.262 * [taylor]: Taking taylor expansion of re in im
0.262 * [backup-simplify]: Simplify re into re
0.262 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.262 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.262 * [backup-simplify]: Simplify (+ 1 0) into 1
0.263 * [backup-simplify]: Simplify (sqrt 1) into 1
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.264 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.264 * [taylor]: Taking taylor expansion of im in re
0.264 * [backup-simplify]: Simplify im into im
0.264 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.264 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.264 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.265 * [taylor]: Taking taylor expansion of re in re
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (* 1 1) into 1
0.265 * [backup-simplify]: Simplify (/ 1 1) into 1
0.265 * [backup-simplify]: Simplify (+ 0 1) into 1
0.266 * [backup-simplify]: Simplify (sqrt 1) into 1
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.267 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.267 * [taylor]: Taking taylor expansion of im in re
0.267 * [backup-simplify]: Simplify im into im
0.267 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.267 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.267 * [taylor]: Taking taylor expansion of re in re
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (* 1 1) into 1
0.268 * [backup-simplify]: Simplify (/ 1 1) into 1
0.268 * [backup-simplify]: Simplify (+ 0 1) into 1
0.268 * [backup-simplify]: Simplify (sqrt 1) into 1
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.270 * [taylor]: Taking taylor expansion of 1 in im
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [taylor]: Taking taylor expansion of 0 in im
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.272 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.272 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im
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 1) into 1
0.273 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.276 * [taylor]: Taking taylor expansion of 0 in im
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.277 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.277 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.277 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.277 * [taylor]: Taking taylor expansion of im in im
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (* 1 1) into 1
0.278 * [backup-simplify]: Simplify (/ 1 1) into 1
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.278 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.278 * [taylor]: Taking taylor expansion of re in im
0.278 * [backup-simplify]: Simplify re into re
0.278 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.278 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.278 * [backup-simplify]: Simplify (+ 1 0) into 1
0.279 * [backup-simplify]: Simplify (sqrt 1) into 1
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.280 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.280 * [taylor]: Taking taylor expansion of im in re
0.280 * [backup-simplify]: Simplify im into im
0.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.280 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.280 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.280 * [taylor]: Taking taylor expansion of re in re
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (* 1 1) into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [backup-simplify]: Simplify (+ 0 1) into 1
0.281 * [backup-simplify]: Simplify (sqrt 1) into 1
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.283 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.283 * [taylor]: Taking taylor expansion of im in re
0.283 * [backup-simplify]: Simplify im into im
0.283 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.283 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.284 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.284 * [taylor]: Taking taylor expansion of re in re
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [backup-simplify]: Simplify (+ 0 1) into 1
0.285 * [backup-simplify]: Simplify (sqrt 1) into 1
0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.288 * [taylor]: Taking taylor expansion of 1 in im
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [taylor]: Taking taylor expansion of 0 in im
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.292 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.292 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.292 * [taylor]: Taking taylor expansion of 1/2 in im
0.292 * [backup-simplify]: Simplify 1/2 into 1/2
0.292 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.292 * [taylor]: Taking taylor expansion of im in im
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.298 * [taylor]: Taking taylor expansion of 0 in im
0.298 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.301 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.301 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.301 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.301 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.301 * [taylor]: Taking taylor expansion of re in im
0.301 * [backup-simplify]: Simplify re into re
0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.301 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.301 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.301 * [taylor]: Taking taylor expansion of re in im
0.301 * [backup-simplify]: Simplify re into re
0.301 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.301 * [taylor]: Taking taylor expansion of im in im
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.302 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.302 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.302 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.303 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.303 * [taylor]: Taking taylor expansion of re in re
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.303 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.303 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.303 * [taylor]: Taking taylor expansion of re in re
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.303 * [taylor]: Taking taylor expansion of im in re
0.303 * [backup-simplify]: Simplify im into im
0.303 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.303 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.303 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.303 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.304 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.304 * [taylor]: Taking taylor expansion of re in re
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.304 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.304 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.304 * [taylor]: Taking taylor expansion of re in re
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.304 * [taylor]: Taking taylor expansion of im in re
0.305 * [backup-simplify]: Simplify im into im
0.305 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.305 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.305 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.305 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.306 * [backup-simplify]: Simplify (+ 0 im) into im
0.306 * [taylor]: Taking taylor expansion of im in im
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify (+ 1 0) into 1
0.306 * [taylor]: Taking taylor expansion of 1 in im
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (* 1 1) into 1
0.307 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.308 * [backup-simplify]: Simplify (+ 1 0) into 1
0.309 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.309 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) 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 (/ 1 im) 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
0.310 * [backup-simplify]: Simplify (/ 1 1) into 1
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.313 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [taylor]: Taking taylor expansion of 0 in im
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.317 * [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)))))
0.317 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.317 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.317 * [taylor]: Taking taylor expansion of re in im
0.317 * [backup-simplify]: Simplify re into re
0.317 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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
0.318 * [backup-simplify]: Simplify (* 1 1) into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.318 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.318 * [taylor]: Taking taylor expansion of re in im
0.318 * [backup-simplify]: Simplify re into re
0.318 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.318 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.319 * [backup-simplify]: Simplify (+ 1 0) into 1
0.319 * [backup-simplify]: Simplify (sqrt 1) into 1
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.322 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.322 * [taylor]: Taking taylor expansion of re in re
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (/ 1 1) into 1
0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.322 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.322 * [taylor]: Taking taylor expansion of im in re
0.323 * [backup-simplify]: Simplify im into im
0.323 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.323 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.323 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.323 * [taylor]: Taking taylor expansion of re in re
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (* 1 1) into 1
0.324 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [backup-simplify]: Simplify (+ 0 1) into 1
0.325 * [backup-simplify]: Simplify (sqrt 1) into 1
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.327 * [taylor]: Taking taylor expansion of re in re
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.328 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.328 * [taylor]: Taking taylor expansion of im in re
0.328 * [backup-simplify]: Simplify im into im
0.328 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.328 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.328 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.328 * [taylor]: Taking taylor expansion of re in re
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (* 1 1) into 1
0.329 * [backup-simplify]: Simplify (/ 1 1) into 1
0.329 * [backup-simplify]: Simplify (+ 0 1) into 1
0.330 * [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
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.333 * [backup-simplify]: Simplify (+ 1 1) into 2
0.333 * [taylor]: Taking taylor expansion of 2 in im
0.333 * [backup-simplify]: Simplify 2 into 2
0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.334 * [taylor]: Taking taylor expansion of 0 in im
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 2 into 2
0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.337 * [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
0.340 * [backup-simplify]: Simplify (* 1 1) into 1
0.340 * [backup-simplify]: Simplify (/ 1 1) into 1
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.352 * [backup-simplify]: Simplify (+ 0 0) into 0
0.352 * [taylor]: Taking taylor expansion of 0 in im
0.352 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.356 * [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))
0.356 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.356 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.356 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.356 * [taylor]: Taking taylor expansion of im in im
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (* 1 1) into 1
0.357 * [backup-simplify]: Simplify (/ 1 1) into 1
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.357 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.357 * [taylor]: Taking taylor expansion of re in im
0.357 * [backup-simplify]: Simplify re into re
0.357 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.357 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.358 * [backup-simplify]: Simplify (+ 1 0) into 1
0.358 * [backup-simplify]: Simplify (sqrt 1) into 1
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.361 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.361 * [taylor]: Taking taylor expansion of re in im
0.361 * [backup-simplify]: Simplify re into re
0.361 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.361 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.361 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.361 * [taylor]: Taking taylor expansion of im in re
0.361 * [backup-simplify]: Simplify im into im
0.361 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.361 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.361 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.361 * [taylor]: Taking taylor expansion of re in re
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (* 1 1) into 1
0.362 * [backup-simplify]: Simplify (/ 1 1) into 1
0.363 * [backup-simplify]: Simplify (+ 0 1) into 1
0.363 * [backup-simplify]: Simplify (sqrt 1) into 1
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.366 * [taylor]: Taking taylor expansion of re in re
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (/ 1 1) into 1
0.366 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.366 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.366 * [taylor]: Taking taylor expansion of im in re
0.366 * [backup-simplify]: Simplify im into im
0.366 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.367 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.367 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.367 * [taylor]: Taking taylor expansion of re in re
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (* 1 1) into 1
0.368 * [backup-simplify]: Simplify (/ 1 1) into 1
0.368 * [backup-simplify]: Simplify (+ 0 1) into 1
0.368 * [backup-simplify]: Simplify (sqrt 1) into 1
0.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.371 * [taylor]: Taking taylor expansion of re in re
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
0.372 * [backup-simplify]: Simplify (- 1) into -1
0.372 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.372 * [taylor]: Taking taylor expansion of 0 in im
0.372 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (- 0) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [taylor]: Taking taylor expansion of 0 in im
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.378 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (- 0) into 0
0.379 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.379 * [taylor]: Taking taylor expansion of 1/2 in im
0.379 * [backup-simplify]: Simplify 1/2 into 1/2
0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.379 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.379 * [taylor]: Taking taylor expansion of im in im
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.380 * [backup-simplify]: Simplify (* 1 1) into 1
0.380 * [backup-simplify]: Simplify (/ 1 1) into 1
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ (* 1/2 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
0.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (- 0) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [taylor]: Taking taylor expansion of 0 in im
0.388 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.391 * [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))))))
0.391 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.391 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.391 * [taylor]: Taking taylor expansion of 2.0 in im
0.391 * [backup-simplify]: Simplify 2.0 into 2.0
0.392 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.392 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.392 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.392 * [taylor]: Taking taylor expansion of re in im
0.392 * [backup-simplify]: Simplify re into re
0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.392 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.392 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.392 * [taylor]: Taking taylor expansion of re in im
0.392 * [backup-simplify]: Simplify re into re
0.392 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.392 * [taylor]: Taking taylor expansion of im in im
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.393 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.393 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.393 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.393 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.393 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.393 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.393 * [backup-simplify]: Simplify (+ 0 0) into 0
0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.394 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.394 * [taylor]: Taking taylor expansion of 2.0 in re
0.394 * [backup-simplify]: Simplify 2.0 into 2.0
0.394 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.394 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.394 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.394 * [taylor]: Taking taylor expansion of re in re
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.394 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.394 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.394 * [taylor]: Taking taylor expansion of re in re
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.395 * [taylor]: Taking taylor expansion of im in re
0.395 * [backup-simplify]: Simplify im into im
0.395 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.395 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.395 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.395 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.395 * [backup-simplify]: Simplify (+ 0 im) into im
0.395 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.396 * [backup-simplify]: Simplify (+ 1 0) into 1
0.396 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.396 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.396 * [taylor]: Taking taylor expansion of 2.0 in re
0.396 * [backup-simplify]: Simplify 2.0 into 2.0
0.396 * [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 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.396 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.397 * [taylor]: Taking taylor expansion of re in re
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.397 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.397 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.397 * [taylor]: Taking taylor expansion of re in re
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.397 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.397 * [taylor]: Taking taylor expansion of im in re
0.397 * [backup-simplify]: Simplify im into im
0.397 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.397 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.397 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.397 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.397 * [backup-simplify]: Simplify (+ 0 im) into im
0.397 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.398 * [backup-simplify]: Simplify (+ 1 0) into 1
0.398 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.398 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.398 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.398 * [taylor]: Taking taylor expansion of 2.0 in im
0.398 * [backup-simplify]: Simplify 2.0 into 2.0
0.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.399 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.399 * [taylor]: Taking taylor expansion of im in im
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify (sqrt 0) into 0
0.400 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.400 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.401 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.401 * [taylor]: Taking taylor expansion of 1/2 in im
0.401 * [backup-simplify]: Simplify 1/2 into 1/2
0.401 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.401 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.401 * [taylor]: Taking taylor expansion of 2.0 in im
0.401 * [backup-simplify]: Simplify 2.0 into 2.0
0.401 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.402 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.402 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.402 * [taylor]: Taking taylor expansion of im in im
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify (/ 1 1) into 1
0.402 * [backup-simplify]: Simplify (sqrt 0) into 0
0.403 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.404 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.405 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.407 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.408 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.409 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.410 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.410 * [backup-simplify]: Simplify (* 1 1) into 1
0.411 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.411 * [backup-simplify]: Simplify (+ 1 0) into 1
0.412 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.412 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.412 * [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))))
0.413 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.413 * [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)))))
0.413 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.413 * [taylor]: Taking taylor expansion of 1/8 in im
0.413 * [backup-simplify]: Simplify 1/8 into 1/8
0.413 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.413 * [taylor]: Taking taylor expansion of 2.0 in im
0.413 * [backup-simplify]: Simplify 2.0 into 2.0
0.414 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.414 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.414 * [taylor]: Taking taylor expansion of im in im
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (* 1 1) into 1
0.415 * [backup-simplify]: Simplify (* 1 1) into 1
0.415 * [backup-simplify]: Simplify (/ 1 1) into 1
0.415 * [backup-simplify]: Simplify (sqrt 0) into 0
0.416 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.420 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.421 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.423 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.423 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.430 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.434 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 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)))))))
0.435 * [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)))))))
0.435 * [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
0.435 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.435 * [taylor]: Taking taylor expansion of 2.0 in im
0.435 * [backup-simplify]: Simplify 2.0 into 2.0
0.436 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.436 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.436 * [taylor]: Taking taylor expansion of re in im
0.436 * [backup-simplify]: Simplify re into re
0.436 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.437 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.437 * [taylor]: Taking taylor expansion of im in im
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 1 into 1
0.437 * [backup-simplify]: Simplify (* 1 1) into 1
0.437 * [backup-simplify]: Simplify (/ 1 1) into 1
0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.437 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.437 * [taylor]: Taking taylor expansion of re in im
0.437 * [backup-simplify]: Simplify re into re
0.438 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.438 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.438 * [backup-simplify]: Simplify (+ 1 0) into 1
0.439 * [backup-simplify]: Simplify (sqrt 1) into 1
0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.440 * [backup-simplify]: Simplify (+ 0 0) into 0
0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.441 * [backup-simplify]: Simplify (+ 0 1) into 1
0.442 * [backup-simplify]: Simplify (sqrt 0) into 0
0.443 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.443 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.443 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.443 * [taylor]: Taking taylor expansion of 2.0 in re
0.443 * [backup-simplify]: Simplify 2.0 into 2.0
0.444 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.444 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.444 * [taylor]: Taking taylor expansion of re in re
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (/ 1 1) into 1
0.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.445 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.445 * [taylor]: Taking taylor expansion of im in re
0.445 * [backup-simplify]: Simplify im into im
0.445 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.446 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.446 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.446 * [taylor]: Taking taylor expansion of re in re
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (* 1 1) into 1
0.447 * [backup-simplify]: Simplify (/ 1 1) into 1
0.447 * [backup-simplify]: Simplify (+ 0 1) into 1
0.447 * [backup-simplify]: Simplify (sqrt 1) into 1
0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (+ 0 0) into 0
0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.450 * [backup-simplify]: Simplify (+ 1 1) into 2
0.451 * [backup-simplify]: Simplify (sqrt 0) into 0
0.452 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.452 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.452 * [taylor]: Taking taylor expansion of 2.0 in re
0.452 * [backup-simplify]: Simplify 2.0 into 2.0
0.452 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.453 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.453 * [taylor]: Taking taylor expansion of re in re
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 1 into 1
0.454 * [backup-simplify]: Simplify (/ 1 1) into 1
0.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.454 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.454 * [taylor]: Taking taylor expansion of im in re
0.454 * [backup-simplify]: Simplify im into im
0.454 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.454 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.454 * [taylor]: Taking taylor expansion of re in re
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 1 into 1
0.455 * [backup-simplify]: Simplify (* 1 1) into 1
0.455 * [backup-simplify]: Simplify (/ 1 1) into 1
0.456 * [backup-simplify]: Simplify (+ 0 1) into 1
0.456 * [backup-simplify]: Simplify (sqrt 1) into 1
0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ 0 0) into 0
0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.459 * [backup-simplify]: Simplify (+ 1 1) into 2
0.459 * [backup-simplify]: Simplify (sqrt 0) into 0
0.460 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.461 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.461 * [taylor]: Taking taylor expansion of 0 in im
0.461 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.463 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.463 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.463 * [taylor]: Taking taylor expansion of +nan.0 in im
0.463 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.463 * [taylor]: Taking taylor expansion of 2.0 in im
0.463 * [backup-simplify]: Simplify 2.0 into 2.0
0.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.469 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.470 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.472 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (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
0.473 * [taylor]: Taking taylor expansion of +nan.0 in im
0.473 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.473 * [taylor]: Taking taylor expansion of 2.0 in im
0.473 * [backup-simplify]: Simplify 2.0 into 2.0
0.473 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) 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)))
0.482 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.482 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.486 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.487 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.487 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.489 * [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))
0.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.492 * [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)))))
0.492 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.492 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.492 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.492 * [taylor]: Taking taylor expansion of +nan.0 in im
0.492 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.492 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.492 * [taylor]: Taking taylor expansion of 2.0 in im
0.492 * [backup-simplify]: Simplify 2.0 into 2.0
0.493 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.493 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.493 * [taylor]: Taking taylor expansion of im in im
0.493 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 1 into 1
0.494 * [backup-simplify]: Simplify (* 1 1) into 1
0.495 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.495 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.495 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.495 * [taylor]: Taking taylor expansion of +nan.0 in im
0.495 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.495 * [taylor]: Taking taylor expansion of 2.0 in im
0.495 * [backup-simplify]: Simplify 2.0 into 2.0
0.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.499 * [backup-simplify]: Simplify (+ 0 0) into 0
0.500 * [backup-simplify]: Simplify (- 0) into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.502 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.503 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.504 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.505 * [backup-simplify]: Simplify (- 0) into 0
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ 0 0) into 0
0.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.510 * [backup-simplify]: Simplify (+ 0 0) into 0
0.511 * [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)))
0.513 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.515 * [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)))))
0.515 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.515 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.515 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.515 * [taylor]: Taking taylor expansion of +nan.0 in im
0.515 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.515 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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
0.516 * [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 (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
0.518 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.518 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.518 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.518 * [taylor]: Taking taylor expansion of +nan.0 in im
0.518 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.518 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.518 * [taylor]: Taking taylor expansion of 2.0 in im
0.518 * [backup-simplify]: Simplify 2.0 into 2.0
0.518 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.521 * [backup-simplify]: Simplify (+ 0 0) into 0
0.521 * [backup-simplify]: Simplify (- 0) into 0
0.521 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.524 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.525 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.526 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.527 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.528 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.531 * [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)))))))
0.532 * [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))))
0.532 * [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
0.532 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.532 * [taylor]: Taking taylor expansion of 2.0 in im
0.532 * [backup-simplify]: Simplify 2.0 into 2.0
0.532 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.532 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.532 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.533 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.533 * [taylor]: Taking taylor expansion of im in im
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (* 1 1) into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.533 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.533 * [taylor]: Taking taylor expansion of re in im
0.533 * [backup-simplify]: Simplify re into re
0.533 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.533 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.534 * [backup-simplify]: Simplify (+ 1 0) into 1
0.534 * [backup-simplify]: Simplify (sqrt 1) into 1
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ 0 0) into 0
0.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.535 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.535 * [taylor]: Taking taylor expansion of re in im
0.535 * [backup-simplify]: Simplify re into re
0.535 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.536 * [backup-simplify]: Simplify (+ 1 0) into 1
0.536 * [backup-simplify]: Simplify (sqrt 0) into 0
0.537 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.537 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.537 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.537 * [taylor]: Taking taylor expansion of 2.0 in re
0.537 * [backup-simplify]: Simplify 2.0 into 2.0
0.537 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.537 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.537 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.538 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.538 * [taylor]: Taking taylor expansion of im in re
0.538 * [backup-simplify]: Simplify im into im
0.538 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.538 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.538 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.538 * [taylor]: Taking taylor expansion of re in re
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (* 1 1) into 1
0.538 * [backup-simplify]: Simplify (/ 1 1) into 1
0.539 * [backup-simplify]: Simplify (+ 0 1) into 1
0.539 * [backup-simplify]: Simplify (sqrt 1) into 1
0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.541 * [taylor]: Taking taylor expansion of re in re
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify (/ 1 1) into 1
0.542 * [backup-simplify]: Simplify (- 1) into -1
0.543 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.544 * [backup-simplify]: Simplify (- 0) into 0
0.544 * [backup-simplify]: Simplify (+ 0 0) into 0
0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.546 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.547 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (- 0) into 0
0.549 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.549 * [backup-simplify]: Simplify (sqrt 0) into 0
0.550 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.550 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.550 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.550 * [taylor]: Taking taylor expansion of 2.0 in re
0.550 * [backup-simplify]: Simplify 2.0 into 2.0
0.551 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.551 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.551 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.552 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.552 * [taylor]: Taking taylor expansion of im in re
0.552 * [backup-simplify]: Simplify im into im
0.552 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.552 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.552 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.552 * [taylor]: Taking taylor expansion of re in re
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.553 * [backup-simplify]: Simplify (* 1 1) into 1
0.553 * [backup-simplify]: Simplify (/ 1 1) into 1
0.553 * [backup-simplify]: Simplify (+ 0 1) into 1
0.554 * [backup-simplify]: Simplify (sqrt 1) into 1
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (+ 0 0) into 0
0.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.557 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.557 * [taylor]: Taking taylor expansion of re in re
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.557 * [backup-simplify]: Simplify (/ 1 1) into 1
0.557 * [backup-simplify]: Simplify (- 1) into -1
0.558 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (- 0) into 0
0.559 * [backup-simplify]: Simplify (+ 0 0) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.561 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.563 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (- 0) into 0
0.564 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.565 * [backup-simplify]: Simplify (sqrt 0) into 0
0.565 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.566 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.566 * [taylor]: Taking taylor expansion of 0 in im
0.566 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.567 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.567 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.567 * [taylor]: Taking taylor expansion of +nan.0 in im
0.567 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.567 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.567 * [taylor]: Taking taylor expansion of 2.0 in im
0.567 * [backup-simplify]: Simplify 2.0 into 2.0
0.568 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.568 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.568 * [taylor]: Taking taylor expansion of im in im
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (* 1 1) into 1
0.570 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.573 * [backup-simplify]: Simplify (- 0) into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify (+ 0 0) into 0
0.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (- 0) into 0
0.578 * [backup-simplify]: Simplify (+ 0 0) into 0
0.579 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.581 * [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))))
0.581 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.581 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.581 * [taylor]: Taking taylor expansion of +nan.0 in im
0.581 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.581 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.581 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.582 * [taylor]: Taking taylor expansion of 2.0 in im
0.582 * [backup-simplify]: Simplify 2.0 into 2.0
0.582 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.583 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.583 * [taylor]: Taking taylor expansion of im in im
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 1 into 1
0.583 * [backup-simplify]: Simplify (* 1 1) into 1
0.584 * [backup-simplify]: Simplify (* 1 1) into 1
0.584 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.597 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.597 * [backup-simplify]: Simplify (- 0) into 0
0.597 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.602 * [backup-simplify]: Simplify (- 0) into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.606 * [backup-simplify]: Simplify (+ 0 0) into 0
0.607 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.609 * [backup-simplify]: Simplify (- 0) into 0
0.609 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.610 * [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))))))
0.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.613 * [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))))))
0.613 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.613 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.613 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.613 * [taylor]: Taking taylor expansion of +nan.0 in im
0.613 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.613 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.613 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.613 * [taylor]: Taking taylor expansion of 2.0 in im
0.613 * [backup-simplify]: Simplify 2.0 into 2.0
0.614 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.620 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.620 * [taylor]: Taking taylor expansion of im in im
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 1 into 1
0.621 * [backup-simplify]: Simplify (* 1 1) into 1
0.621 * [backup-simplify]: Simplify (* 1 1) into 1
0.622 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.622 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.622 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.622 * [taylor]: Taking taylor expansion of +nan.0 in im
0.622 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.622 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.622 * [taylor]: Taking taylor expansion of 2.0 in im
0.622 * [backup-simplify]: Simplify 2.0 into 2.0
0.623 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.623 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.623 * [taylor]: Taking taylor expansion of im in im
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 1 into 1
0.624 * [backup-simplify]: Simplify (* 1 1) into 1
0.624 * [backup-simplify]: Simplify (* 1 1) into 1
0.625 * [backup-simplify]: Simplify (* 1 1) into 1
0.625 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.627 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.633 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.636 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.639 * [backup-simplify]: Simplify (+ (* 1 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.645 * [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
0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 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)) (* 0 (/ 0 1)))) into 0
0.649 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.649 * [backup-simplify]: Simplify (- 0) into 0
0.649 * [backup-simplify]: Simplify (+ 0 0) into 0
0.650 * [backup-simplify]: Simplify (- 0) into 0
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.650 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.650 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.650 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.650 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.650 * [taylor]: Taking taylor expansion of re in im
0.650 * [backup-simplify]: Simplify re into re
0.650 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.650 * [taylor]: Taking taylor expansion of im in im
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.650 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.650 * [taylor]: Taking taylor expansion of re in re
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.650 * [taylor]: Taking taylor expansion of im in re
0.650 * [backup-simplify]: Simplify im into im
0.650 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.650 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.650 * [taylor]: Taking taylor expansion of re in re
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.650 * [taylor]: Taking taylor expansion of im in re
0.650 * [backup-simplify]: Simplify im into im
0.650 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.651 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.651 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.651 * [taylor]: Taking taylor expansion of im in im
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify 1 into 1
0.651 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.651 * [backup-simplify]: Simplify (+ 0 0) into 0
0.651 * [taylor]: Taking taylor expansion of 0 in im
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify (* 1 1) into 1
0.652 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.652 * [backup-simplify]: Simplify (+ 1 0) into 1
0.652 * [taylor]: Taking taylor expansion of 1 in im
0.652 * [backup-simplify]: Simplify 1 into 1
0.652 * [backup-simplify]: Simplify 1 into 1
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify (* 1 1) into 1
0.652 * [backup-simplify]: Simplify 1 into 1
0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.653 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.653 * [backup-simplify]: Simplify (+ 0 0) into 0
0.653 * [taylor]: Taking taylor expansion of 0 in im
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.655 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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
0.655 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.656 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.656 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.656 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.656 * [taylor]: Taking taylor expansion of im in im
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 1 into 1
0.656 * [backup-simplify]: Simplify (* 1 1) into 1
0.657 * [backup-simplify]: Simplify (/ 1 1) into 1
0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.657 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.657 * [taylor]: Taking taylor expansion of re in im
0.657 * [backup-simplify]: Simplify re into re
0.657 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.657 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.657 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.657 * [taylor]: Taking taylor expansion of im in re
0.657 * [backup-simplify]: Simplify im into im
0.657 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.657 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.657 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.657 * [taylor]: Taking taylor expansion of re in re
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 1 into 1
0.657 * [backup-simplify]: Simplify (* 1 1) into 1
0.658 * [backup-simplify]: Simplify (/ 1 1) into 1
0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.658 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.658 * [taylor]: Taking taylor expansion of im in re
0.658 * [backup-simplify]: Simplify im into im
0.658 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.658 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.658 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.658 * [taylor]: Taking taylor expansion of re in re
0.658 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify 1 into 1
0.658 * [backup-simplify]: Simplify (* 1 1) into 1
0.658 * [backup-simplify]: Simplify (/ 1 1) into 1
0.659 * [backup-simplify]: Simplify (+ 0 1) into 1
0.659 * [taylor]: Taking taylor expansion of 1 in im
0.659 * [backup-simplify]: Simplify 1 into 1
0.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.661 * [backup-simplify]: Simplify (+ 0 0) into 0
0.661 * [taylor]: Taking taylor expansion of 0 in im
0.661 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.663 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.663 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.663 * [taylor]: Taking taylor expansion of im in im
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 1 into 1
0.663 * [backup-simplify]: Simplify (* 1 1) into 1
0.664 * [backup-simplify]: Simplify (/ 1 1) into 1
0.664 * [backup-simplify]: Simplify 1 into 1
0.664 * [backup-simplify]: Simplify 1 into 1
0.664 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.667 * [backup-simplify]: Simplify (+ 0 0) into 0
0.667 * [taylor]: Taking taylor expansion of 0 in im
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.669 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.672 * [backup-simplify]: Simplify (+ 0 0) into 0
0.672 * [taylor]: Taking taylor expansion of 0 in im
0.672 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.675 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.675 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.675 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.675 * [taylor]: Taking taylor expansion of im in im
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify 1 into 1
0.675 * [backup-simplify]: Simplify (* 1 1) into 1
0.676 * [backup-simplify]: Simplify (/ 1 1) into 1
0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.676 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.676 * [taylor]: Taking taylor expansion of re in im
0.676 * [backup-simplify]: Simplify re into re
0.676 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.676 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.676 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.676 * [taylor]: Taking taylor expansion of im in re
0.676 * [backup-simplify]: Simplify im into im
0.676 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.676 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.676 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.677 * [taylor]: Taking taylor expansion of re in re
0.677 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify 1 into 1
0.677 * [backup-simplify]: Simplify (* 1 1) into 1
0.677 * [backup-simplify]: Simplify (/ 1 1) into 1
0.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.677 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.677 * [taylor]: Taking taylor expansion of im in re
0.678 * [backup-simplify]: Simplify im into im
0.678 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.678 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.678 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.678 * [taylor]: Taking taylor expansion of re in re
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify 1 into 1
0.678 * [backup-simplify]: Simplify (* 1 1) into 1
0.679 * [backup-simplify]: Simplify (/ 1 1) into 1
0.679 * [backup-simplify]: Simplify (+ 0 1) into 1
0.679 * [taylor]: Taking taylor expansion of 1 in im
0.679 * [backup-simplify]: Simplify 1 into 1
0.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.681 * [backup-simplify]: Simplify (+ 0 0) into 0
0.681 * [taylor]: Taking taylor expansion of 0 in im
0.681 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.683 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.683 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.683 * [taylor]: Taking taylor expansion of im in im
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify 1 into 1
0.684 * [backup-simplify]: Simplify (* 1 1) into 1
0.684 * [backup-simplify]: Simplify (/ 1 1) into 1
0.684 * [backup-simplify]: Simplify 1 into 1
0.684 * [backup-simplify]: Simplify 1 into 1
0.684 * [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
0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.687 * [backup-simplify]: Simplify (+ 0 0) into 0
0.687 * [taylor]: Taking taylor expansion of 0 in im
0.687 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.692 * [backup-simplify]: Simplify (+ 0 0) into 0
0.692 * [taylor]: Taking taylor expansion of 0 in im
0.692 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.694 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.695 * * * [progress]: simplifying candidates
0.697 * [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))
0.699 * * [simplify]: Extracting # 0 : cost  0
0.700 * * [simplify]: Extracting # 1 : cost  0
0.700 * * [simplify]: Extracting # 2 : cost  0
0.700 * * [simplify]: Extracting # 3 : cost  0
0.700 * * [simplify]: Extracting # 4 : cost  0
0.701 * * [simplify]: Extracting # 5 : cost  0
0.701 * * [simplify]: Extracting # 6 : cost  0
0.701 * * [simplify]: Extracting # 7 : cost  0
0.701 * * [simplify]: Extracting # 8 : cost  0
0.702 * * [simplify]: Extracting # 9 : cost  0
0.702 * * [simplify]: Extracting # 10 : cost  0
0.702 * * [simplify]: Extracting # 11 : cost  0
0.702 * * [simplify]: iteration  0 :  108  enodes  (cost  888 )
0.725 * * [simplify]: Extracting # 0 : cost  0
0.725 * * [simplify]: Extracting # 1 : cost  0
0.725 * * [simplify]: Extracting # 2 : cost  0
0.726 * * [simplify]: Extracting # 3 : cost  0
0.726 * * [simplify]: Extracting # 4 : cost  0
0.726 * * [simplify]: iteration  1 :  271  enodes  (cost  774 )
0.834 * * [simplify]: Extracting # 0 : cost  0
0.835 * * [simplify]: Extracting # 1 : cost  0
0.836 * * [simplify]: Extracting # 2 : cost  0
0.837 * * [simplify]: Extracting # 3 : cost  0
0.837 * * [simplify]: Extracting # 4 : cost  0
0.838 * * [simplify]: iteration  2 :  755  enodes  (cost  698 )
1.260 * * [simplify]: Extracting # 0 : cost  0
1.262 * * [simplify]: Extracting # 1 : cost  0
1.264 * * [simplify]: Extracting # 2 : cost  0
1.266 * * [simplify]: Extracting # 3 : cost  0
1.268 * * [simplify]: Extracting # 4 : cost  0
1.270 * * [simplify]: iteration  3 :  2070  enodes  (cost  673 )
2.600 * * [simplify]: Extracting # 0 : cost  0
2.606 * * [simplify]: Extracting # 1 : cost  0
2.612 * * [simplify]: Extracting # 2 : cost  0
2.622 * * [simplify]: Extracting # 3 : cost  0
2.627 * * [simplify]: Extracting # 4 : cost  0
2.633 * * [simplify]: iteration done:  5000  enodes  (cost  668 )
2.633 * [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))
2.634 * * * [progress]: adding candidates to table
2.922 * * [progress]: iteration 2 / 4
2.922 * * * [progress]: picking best candidate
2.954 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.954 * * * [progress]: localizing error
2.969 * * * [progress]: generating rewritten candidates
2.969 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
2.979 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
2.999 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
3.038 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
3.141 * * * [progress]: generating series expansions
3.141 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
3.142 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.142 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.142 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.142 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.142 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.142 * [taylor]: Taking taylor expansion of re in im
3.142 * [backup-simplify]: Simplify re into re
3.142 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.142 * [taylor]: Taking taylor expansion of im in im
3.142 * [backup-simplify]: Simplify 0 into 0
3.142 * [backup-simplify]: Simplify 1 into 1
3.142 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.142 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.142 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.143 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.143 * [backup-simplify]: Simplify (+ 0 0) into 0
3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.143 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.144 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.144 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.144 * [taylor]: Taking taylor expansion of re in re
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 1 into 1
3.144 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.144 * [taylor]: Taking taylor expansion of im in re
3.144 * [backup-simplify]: Simplify im into im
3.144 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.144 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.144 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.144 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.145 * [backup-simplify]: Simplify (+ 0 0) into 0
3.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.145 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.145 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.145 * [taylor]: Taking taylor expansion of re in re
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 1 into 1
3.145 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.145 * [taylor]: Taking taylor expansion of im in re
3.145 * [backup-simplify]: Simplify im into im
3.145 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.145 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.145 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.146 * [backup-simplify]: Simplify (+ 0 0) into 0
3.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.146 * [taylor]: Taking taylor expansion of im in im
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [taylor]: Taking taylor expansion of 0 in im
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.147 * [backup-simplify]: Simplify (* 1 1) into 1
3.147 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.148 * [backup-simplify]: Simplify (+ 1 0) into 1
3.149 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.149 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.149 * [taylor]: Taking taylor expansion of 1/2 in im
3.149 * [backup-simplify]: Simplify 1/2 into 1/2
3.149 * [taylor]: Taking taylor expansion of im in im
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify 1 into 1
3.149 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.152 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.152 * [backup-simplify]: Simplify (+ 0 0) into 0
3.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.152 * [taylor]: Taking taylor expansion of 0 in im
3.152 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.154 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.154 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.154 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.154 * [taylor]: Taking taylor expansion of im in im
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 1 into 1
3.154 * [backup-simplify]: Simplify (* 1 1) into 1
3.155 * [backup-simplify]: Simplify (/ 1 1) into 1
3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.155 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.155 * [taylor]: Taking taylor expansion of re in im
3.155 * [backup-simplify]: Simplify re into re
3.155 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.155 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.156 * [backup-simplify]: Simplify (+ 1 0) into 1
3.156 * [backup-simplify]: Simplify (sqrt 1) into 1
3.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.158 * [backup-simplify]: Simplify (+ 0 0) into 0
3.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.159 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.159 * [taylor]: Taking taylor expansion of im in re
3.159 * [backup-simplify]: Simplify im into im
3.159 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.159 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.159 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.159 * [taylor]: Taking taylor expansion of re in re
3.159 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify 1 into 1
3.160 * [backup-simplify]: Simplify (* 1 1) into 1
3.160 * [backup-simplify]: Simplify (/ 1 1) into 1
3.160 * [backup-simplify]: Simplify (+ 0 1) into 1
3.161 * [backup-simplify]: Simplify (sqrt 1) into 1
3.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.163 * [backup-simplify]: Simplify (+ 0 0) into 0
3.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.164 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.164 * [taylor]: Taking taylor expansion of im in re
3.164 * [backup-simplify]: Simplify im into im
3.164 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.164 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.164 * [taylor]: Taking taylor expansion of re in re
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 1 into 1
3.165 * [backup-simplify]: Simplify (* 1 1) into 1
3.165 * [backup-simplify]: Simplify (/ 1 1) into 1
3.165 * [backup-simplify]: Simplify (+ 0 1) into 1
3.166 * [backup-simplify]: Simplify (sqrt 1) into 1
3.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.168 * [backup-simplify]: Simplify (+ 0 0) into 0
3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.168 * [taylor]: Taking taylor expansion of 1 in im
3.168 * [backup-simplify]: Simplify 1 into 1
3.168 * [taylor]: Taking taylor expansion of 0 in im
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 1 into 1
3.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.171 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.172 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.172 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.172 * [taylor]: Taking taylor expansion of 1/2 in im
3.172 * [backup-simplify]: Simplify 1/2 into 1/2
3.172 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.172 * [taylor]: Taking taylor expansion of im in im
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 1 into 1
3.172 * [backup-simplify]: Simplify (* 1 1) into 1
3.173 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.177 * [backup-simplify]: Simplify (+ 0 0) into 0
3.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.178 * [taylor]: Taking taylor expansion of 0 in im
3.178 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.180 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.180 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.180 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.180 * [taylor]: Taking taylor expansion of im in im
3.180 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 1 into 1
3.181 * [backup-simplify]: Simplify (* 1 1) into 1
3.181 * [backup-simplify]: Simplify (/ 1 1) into 1
3.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.181 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.181 * [taylor]: Taking taylor expansion of re in im
3.181 * [backup-simplify]: Simplify re into re
3.181 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.182 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.182 * [backup-simplify]: Simplify (+ 1 0) into 1
3.182 * [backup-simplify]: Simplify (sqrt 1) into 1
3.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.184 * [backup-simplify]: Simplify (+ 0 0) into 0
3.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.185 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.185 * [taylor]: Taking taylor expansion of im in re
3.185 * [backup-simplify]: Simplify im into im
3.185 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.185 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.185 * [taylor]: Taking taylor expansion of re in re
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 1 into 1
3.185 * [backup-simplify]: Simplify (* 1 1) into 1
3.186 * [backup-simplify]: Simplify (/ 1 1) into 1
3.186 * [backup-simplify]: Simplify (+ 0 1) into 1
3.186 * [backup-simplify]: Simplify (sqrt 1) into 1
3.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.188 * [backup-simplify]: Simplify (+ 0 0) into 0
3.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.189 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.189 * [taylor]: Taking taylor expansion of im in re
3.189 * [backup-simplify]: Simplify im into im
3.189 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.189 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.189 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.189 * [taylor]: Taking taylor expansion of re in re
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.190 * [backup-simplify]: Simplify (* 1 1) into 1
3.190 * [backup-simplify]: Simplify (/ 1 1) into 1
3.190 * [backup-simplify]: Simplify (+ 0 1) into 1
3.191 * [backup-simplify]: Simplify (sqrt 1) into 1
3.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.192 * [backup-simplify]: Simplify (+ 0 0) into 0
3.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.193 * [taylor]: Taking taylor expansion of 1 in im
3.193 * [backup-simplify]: Simplify 1 into 1
3.193 * [taylor]: Taking taylor expansion of 0 in im
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 1 into 1
3.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.195 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.196 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.196 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.196 * [taylor]: Taking taylor expansion of 1/2 in im
3.196 * [backup-simplify]: Simplify 1/2 into 1/2
3.196 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.196 * [taylor]: Taking taylor expansion of im in im
3.196 * [backup-simplify]: Simplify 0 into 0
3.196 * [backup-simplify]: Simplify 1 into 1
3.196 * [backup-simplify]: Simplify (* 1 1) into 1
3.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify 0 into 0
3.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.201 * [backup-simplify]: Simplify (+ 0 0) into 0
3.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.202 * [taylor]: Taking taylor expansion of 0 in im
3.202 * [backup-simplify]: Simplify 0 into 0
3.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.204 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
3.205 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.205 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.205 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.205 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.205 * [taylor]: Taking taylor expansion of re in im
3.205 * [backup-simplify]: Simplify re into re
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
3.205 * [backup-simplify]: Simplify 1 into 1
3.205 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.205 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.205 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.205 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.206 * [backup-simplify]: Simplify (+ 0 0) into 0
3.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.206 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.206 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.206 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.206 * [taylor]: Taking taylor expansion of re in re
3.206 * [backup-simplify]: Simplify 0 into 0
3.206 * [backup-simplify]: Simplify 1 into 1
3.206 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.206 * [taylor]: Taking taylor expansion of im in re
3.206 * [backup-simplify]: Simplify im into im
3.206 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.206 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.207 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.207 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.207 * [backup-simplify]: Simplify (+ 0 0) into 0
3.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.207 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.207 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.207 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.207 * [taylor]: Taking taylor expansion of re in re
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.207 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.207 * [taylor]: Taking taylor expansion of im in re
3.207 * [backup-simplify]: Simplify im into im
3.208 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.208 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.208 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.208 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.208 * [backup-simplify]: Simplify (+ 0 0) into 0
3.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.209 * [taylor]: Taking taylor expansion of im in im
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [taylor]: Taking taylor expansion of 0 in im
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.209 * [backup-simplify]: Simplify (* 1 1) into 1
3.210 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.210 * [backup-simplify]: Simplify (+ 1 0) into 1
3.211 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.211 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.211 * [taylor]: Taking taylor expansion of 1/2 in im
3.211 * [backup-simplify]: Simplify 1/2 into 1/2
3.211 * [taylor]: Taking taylor expansion of im in im
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 1 into 1
3.211 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.219 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.219 * [backup-simplify]: Simplify (+ 0 0) into 0
3.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.219 * [taylor]: Taking taylor expansion of 0 in im
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.221 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.221 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.221 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.221 * [taylor]: Taking taylor expansion of im in im
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 1 into 1
3.221 * [backup-simplify]: Simplify (* 1 1) into 1
3.222 * [backup-simplify]: Simplify (/ 1 1) into 1
3.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.222 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.222 * [taylor]: Taking taylor expansion of re in im
3.222 * [backup-simplify]: Simplify re into re
3.222 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.222 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.223 * [backup-simplify]: Simplify (+ 1 0) into 1
3.223 * [backup-simplify]: Simplify (sqrt 1) into 1
3.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.225 * [backup-simplify]: Simplify (+ 0 0) into 0
3.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.226 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.226 * [taylor]: Taking taylor expansion of im in re
3.226 * [backup-simplify]: Simplify im into im
3.226 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.226 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.226 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.226 * [taylor]: Taking taylor expansion of re in re
3.226 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify 1 into 1
3.227 * [backup-simplify]: Simplify (* 1 1) into 1
3.227 * [backup-simplify]: Simplify (/ 1 1) into 1
3.227 * [backup-simplify]: Simplify (+ 0 1) into 1
3.228 * [backup-simplify]: Simplify (sqrt 1) into 1
3.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.229 * [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)
3.231 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.231 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.231 * [taylor]: Taking taylor expansion of re in re
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify 1 into 1
3.231 * [backup-simplify]: Simplify (* 1 1) into 1
3.231 * [backup-simplify]: Simplify (/ 1 1) into 1
3.232 * [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
3.233 * [backup-simplify]: Simplify (+ 0 0) into 0
3.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.233 * [taylor]: Taking taylor expansion of 1 in im
3.233 * [backup-simplify]: Simplify 1 into 1
3.233 * [taylor]: Taking taylor expansion of 0 in im
3.233 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify 1 into 1
3.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.235 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.235 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.235 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.235 * [taylor]: Taking taylor expansion of 1/2 in im
3.235 * [backup-simplify]: Simplify 1/2 into 1/2
3.235 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.235 * [taylor]: Taking taylor expansion of im in im
3.236 * [backup-simplify]: Simplify 0 into 0
3.236 * [backup-simplify]: Simplify 1 into 1
3.236 * [backup-simplify]: Simplify (* 1 1) into 1
3.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.239 * [backup-simplify]: Simplify (+ 0 0) into 0
3.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.239 * [taylor]: Taking taylor expansion of 0 in im
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.240 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.241 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.241 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.241 * [taylor]: Taking taylor expansion of im in im
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify 1 into 1
3.241 * [backup-simplify]: Simplify (* 1 1) into 1
3.241 * [backup-simplify]: Simplify (/ 1 1) into 1
3.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.241 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.241 * [taylor]: Taking taylor expansion of re in im
3.241 * [backup-simplify]: Simplify re into re
3.241 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.241 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.242 * [backup-simplify]: Simplify (+ 1 0) into 1
3.242 * [backup-simplify]: Simplify (sqrt 1) into 1
3.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.243 * [backup-simplify]: Simplify (+ 0 0) into 0
3.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.243 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.243 * [taylor]: Taking taylor expansion of im in re
3.243 * [backup-simplify]: Simplify im into im
3.243 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.244 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.244 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.244 * [taylor]: Taking taylor expansion of re in re
3.244 * [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 1) into 1
3.244 * [backup-simplify]: Simplify (+ 0 1) into 1
3.245 * [backup-simplify]: Simplify (sqrt 1) into 1
3.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.246 * [backup-simplify]: Simplify (+ 0 0) into 0
3.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.246 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.246 * [taylor]: Taking taylor expansion of im in re
3.246 * [backup-simplify]: Simplify im into im
3.246 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.246 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.246 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.246 * [taylor]: Taking taylor expansion of re in re
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify 1 into 1
3.247 * [backup-simplify]: Simplify (* 1 1) into 1
3.247 * [backup-simplify]: Simplify (/ 1 1) into 1
3.247 * [backup-simplify]: Simplify (+ 0 1) into 1
3.247 * [backup-simplify]: Simplify (sqrt 1) into 1
3.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.248 * [backup-simplify]: Simplify (+ 0 0) into 0
3.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.249 * [taylor]: Taking taylor expansion of 1 in im
3.249 * [backup-simplify]: Simplify 1 into 1
3.249 * [taylor]: Taking taylor expansion of 0 in im
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify 1 into 1
3.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.250 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.251 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.251 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.251 * [taylor]: Taking taylor expansion of 1/2 in im
3.251 * [backup-simplify]: Simplify 1/2 into 1/2
3.251 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.251 * [taylor]: Taking taylor expansion of im in im
3.251 * [backup-simplify]: Simplify 0 into 0
3.251 * [backup-simplify]: Simplify 1 into 1
3.251 * [backup-simplify]: Simplify (* 1 1) into 1
3.252 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 0 into 0
3.253 * [backup-simplify]: Simplify 0 into 0
3.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.254 * [backup-simplify]: Simplify (+ 0 0) into 0
3.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.255 * [taylor]: Taking taylor expansion of 0 in im
3.255 * [backup-simplify]: Simplify 0 into 0
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.256 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
3.256 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
3.256 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
3.256 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
3.256 * [taylor]: Taking taylor expansion of re in im
3.256 * [backup-simplify]: Simplify re into re
3.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.256 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.256 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.256 * [taylor]: Taking taylor expansion of re in im
3.256 * [backup-simplify]: Simplify re into re
3.256 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.256 * [taylor]: Taking taylor expansion of im in im
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 1 into 1
3.256 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.257 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.257 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.257 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.257 * [backup-simplify]: Simplify (+ 0 0) into 0
3.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.257 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 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
3.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.257 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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
3.257 * [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 (+ 0 (pow im 2)) into (pow im 2)
3.257 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.257 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.258 * [backup-simplify]: Simplify (+ 0 0) into 0
3.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.258 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.258 * [taylor]: Taking taylor expansion of re in re
3.258 * [backup-simplify]: Simplify 0 into 0
3.258 * [backup-simplify]: Simplify 1 into 1
3.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.258 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.258 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.258 * [taylor]: Taking taylor expansion of re in re
3.258 * [backup-simplify]: Simplify 0 into 0
3.258 * [backup-simplify]: Simplify 1 into 1
3.258 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.258 * [taylor]: Taking taylor expansion of im in re
3.258 * [backup-simplify]: Simplify im into im
3.258 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.258 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.258 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.258 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.259 * [backup-simplify]: Simplify (+ 0 0) into 0
3.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.259 * [backup-simplify]: Simplify (+ 0 im) into im
3.259 * [taylor]: Taking taylor expansion of im in im
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify 1 into 1
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify (+ 1 0) into 1
3.259 * [taylor]: Taking taylor expansion of 1 in im
3.259 * [backup-simplify]: Simplify 1 into 1
3.259 * [backup-simplify]: Simplify 1 into 1
3.259 * [backup-simplify]: Simplify 1 into 1
3.260 * [backup-simplify]: Simplify (* 1 1) into 1
3.260 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.261 * [backup-simplify]: Simplify (+ 1 0) into 1
3.262 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.262 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.262 * [taylor]: Taking taylor expansion of 1/2 in im
3.262 * [backup-simplify]: Simplify 1/2 into 1/2
3.262 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.262 * [taylor]: Taking taylor expansion of im in im
3.262 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify 1 into 1
3.262 * [backup-simplify]: Simplify (/ 1 1) into 1
3.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.265 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.266 * [backup-simplify]: Simplify (+ 0 0) into 0
3.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.266 * [backup-simplify]: Simplify (+ 0 0) into 0
3.266 * [taylor]: Taking taylor expansion of 0 in im
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.268 * [backup-simplify]: Simplify 0 into 0
3.268 * [backup-simplify]: Simplify 0 into 0
3.269 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.269 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
3.269 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.270 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.270 * [taylor]: Taking taylor expansion of re in im
3.270 * [backup-simplify]: Simplify re into re
3.270 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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 1) into 1
3.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.271 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.271 * [taylor]: Taking taylor expansion of re in im
3.271 * [backup-simplify]: Simplify re into re
3.271 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.271 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.272 * [backup-simplify]: Simplify (+ 1 0) into 1
3.272 * [backup-simplify]: Simplify (sqrt 1) into 1
3.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.274 * [backup-simplify]: Simplify (+ 0 0) into 0
3.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.275 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.275 * [taylor]: Taking taylor expansion of re in re
3.275 * [backup-simplify]: Simplify 0 into 0
3.275 * [backup-simplify]: Simplify 1 into 1
3.275 * [backup-simplify]: Simplify (/ 1 1) into 1
3.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.275 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.275 * [taylor]: Taking taylor expansion of im in re
3.275 * [backup-simplify]: Simplify im into im
3.276 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.276 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.276 * [taylor]: Taking taylor expansion of re in re
3.276 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify 1 into 1
3.276 * [backup-simplify]: Simplify (* 1 1) into 1
3.277 * [backup-simplify]: Simplify (/ 1 1) into 1
3.277 * [backup-simplify]: Simplify (+ 0 1) into 1
3.278 * [backup-simplify]: Simplify (sqrt 1) into 1
3.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.279 * [backup-simplify]: Simplify (+ 0 0) into 0
3.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.280 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.280 * [taylor]: Taking taylor expansion of re in re
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 1 into 1
3.281 * [backup-simplify]: Simplify (/ 1 1) into 1
3.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
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 (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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
3.282 * [backup-simplify]: Simplify (* 1 1) into 1
3.282 * [backup-simplify]: Simplify (/ 1 1) into 1
3.283 * [backup-simplify]: Simplify (+ 0 1) into 1
3.283 * [backup-simplify]: Simplify (sqrt 1) into 1
3.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.285 * [backup-simplify]: Simplify (+ 0 0) into 0
3.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.286 * [backup-simplify]: Simplify (+ 1 1) into 2
3.286 * [taylor]: Taking taylor expansion of 2 in im
3.286 * [backup-simplify]: Simplify 2 into 2
3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.287 * [backup-simplify]: Simplify (+ 0 0) into 0
3.287 * [taylor]: Taking taylor expansion of 0 in im
3.287 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify 2 into 2
3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.290 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.291 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.291 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.292 * [taylor]: Taking taylor expansion of 1/2 in im
3.292 * [backup-simplify]: Simplify 1/2 into 1/2
3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.292 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.292 * [taylor]: Taking taylor expansion of im in im
3.292 * [backup-simplify]: Simplify 0 into 0
3.292 * [backup-simplify]: Simplify 1 into 1
3.292 * [backup-simplify]: Simplify (* 1 1) into 1
3.292 * [backup-simplify]: Simplify (/ 1 1) into 1
3.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.294 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.296 * [backup-simplify]: Simplify (+ 0 0) into 0
3.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.296 * [backup-simplify]: Simplify (+ 0 0) into 0
3.296 * [taylor]: Taking taylor expansion of 0 in im
3.296 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.298 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
3.298 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.298 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.299 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.299 * [taylor]: Taking taylor expansion of im in im
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 1 into 1
3.299 * [backup-simplify]: Simplify (* 1 1) into 1
3.299 * [backup-simplify]: Simplify (/ 1 1) into 1
3.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.299 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.299 * [taylor]: Taking taylor expansion of re in im
3.299 * [backup-simplify]: Simplify re into re
3.299 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.299 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.300 * [backup-simplify]: Simplify (+ 1 0) into 1
3.300 * [backup-simplify]: Simplify (sqrt 1) into 1
3.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.301 * [backup-simplify]: Simplify (+ 0 0) into 0
3.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.301 * [taylor]: Taking taylor expansion of re in im
3.301 * [backup-simplify]: Simplify re into re
3.301 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.301 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.301 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.302 * [taylor]: Taking taylor expansion of im in re
3.302 * [backup-simplify]: Simplify im into im
3.302 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.302 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.302 * [taylor]: Taking taylor expansion of re in re
3.302 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify 1 into 1
3.302 * [backup-simplify]: Simplify (* 1 1) into 1
3.302 * [backup-simplify]: Simplify (/ 1 1) into 1
3.302 * [backup-simplify]: Simplify (+ 0 1) into 1
3.303 * [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
3.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.304 * [taylor]: Taking taylor expansion of re in re
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify 1 into 1
3.304 * [backup-simplify]: Simplify (/ 1 1) into 1
3.304 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.304 * [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
3.305 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.305 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.305 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.305 * [taylor]: Taking taylor expansion of (pow re 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
3.306 * [backup-simplify]: Simplify (+ 0 1) into 1
3.306 * [backup-simplify]: Simplify (sqrt 1) into 1
3.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.307 * [backup-simplify]: Simplify (+ 0 0) into 0
3.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.307 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.307 * [taylor]: Taking taylor expansion of re in re
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.307 * [backup-simplify]: Simplify (/ 1 1) into 1
3.308 * [backup-simplify]: Simplify (- 1) into -1
3.308 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.308 * [taylor]: Taking taylor expansion of 0 in im
3.308 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.309 * [backup-simplify]: Simplify (- 0) into 0
3.309 * [backup-simplify]: Simplify (+ 0 0) into 0
3.309 * [taylor]: Taking taylor expansion of 0 in im
3.309 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.310 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.311 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.312 * [backup-simplify]: Simplify (- 0) into 0
3.312 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.312 * [taylor]: Taking taylor expansion of 1/2 in im
3.312 * [backup-simplify]: Simplify 1/2 into 1/2
3.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.312 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.312 * [taylor]: Taking taylor expansion of im in im
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [backup-simplify]: Simplify 1 into 1
3.312 * [backup-simplify]: Simplify (* 1 1) into 1
3.313 * [backup-simplify]: Simplify (/ 1 1) into 1
3.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.315 * [backup-simplify]: Simplify (+ 0 0) into 0
3.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.317 * [backup-simplify]: Simplify (- 0) into 0
3.317 * [backup-simplify]: Simplify (+ 0 0) into 0
3.317 * [taylor]: Taking taylor expansion of 0 in im
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.318 * [backup-simplify]: Simplify 0 into 0
3.318 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
3.319 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
3.319 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.319 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.319 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.319 * [taylor]: Taking taylor expansion of re in im
3.319 * [backup-simplify]: Simplify re into re
3.319 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.319 * [taylor]: Taking taylor expansion of im in im
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 1 into 1
3.319 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.319 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.320 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.320 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.320 * [backup-simplify]: Simplify (+ 0 0) into 0
3.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.320 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.320 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.320 * [taylor]: Taking taylor expansion of re in re
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 1 into 1
3.320 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.321 * [taylor]: Taking taylor expansion of im in re
3.321 * [backup-simplify]: Simplify im into im
3.321 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.321 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.321 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.321 * [backup-simplify]: Simplify (+ 0 0) into 0
3.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.322 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.322 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.322 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.322 * [taylor]: Taking taylor expansion of re in re
3.322 * [backup-simplify]: Simplify 0 into 0
3.322 * [backup-simplify]: Simplify 1 into 1
3.322 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.322 * [taylor]: Taking taylor expansion of im in re
3.322 * [backup-simplify]: Simplify im into im
3.322 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.322 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.322 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.323 * [backup-simplify]: Simplify (+ 0 0) into 0
3.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.323 * [taylor]: Taking taylor expansion of im in im
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 1 into 1
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [taylor]: Taking taylor expansion of 0 in im
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 1 into 1
3.324 * [backup-simplify]: Simplify (* 1 1) into 1
3.324 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.325 * [backup-simplify]: Simplify (+ 1 0) into 1
3.326 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.326 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.326 * [taylor]: Taking taylor expansion of 1/2 in im
3.326 * [backup-simplify]: Simplify 1/2 into 1/2
3.326 * [taylor]: Taking taylor expansion of im in im
3.326 * [backup-simplify]: Simplify 0 into 0
3.326 * [backup-simplify]: Simplify 1 into 1
3.326 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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
3.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.329 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.329 * [backup-simplify]: Simplify (+ 0 0) into 0
3.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.329 * [taylor]: Taking taylor expansion of 0 in im
3.330 * [backup-simplify]: Simplify 0 into 0
3.330 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.335 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.336 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.336 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.336 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.336 * [taylor]: Taking taylor expansion of im in im
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 1 into 1
3.337 * [backup-simplify]: Simplify (* 1 1) into 1
3.337 * [backup-simplify]: Simplify (/ 1 1) into 1
3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.337 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.337 * [taylor]: Taking taylor expansion of re in im
3.337 * [backup-simplify]: Simplify re into re
3.337 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.337 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.338 * [backup-simplify]: Simplify (+ 1 0) into 1
3.338 * [backup-simplify]: Simplify (sqrt 1) into 1
3.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.340 * [backup-simplify]: Simplify (+ 0 0) into 0
3.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.341 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.341 * [taylor]: Taking taylor expansion of im in re
3.341 * [backup-simplify]: Simplify im into im
3.341 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.341 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.341 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.341 * [taylor]: Taking taylor expansion of re in re
3.342 * [backup-simplify]: Simplify 0 into 0
3.342 * [backup-simplify]: Simplify 1 into 1
3.342 * [backup-simplify]: Simplify (* 1 1) into 1
3.342 * [backup-simplify]: Simplify (/ 1 1) into 1
3.343 * [backup-simplify]: Simplify (+ 0 1) into 1
3.343 * [backup-simplify]: Simplify (sqrt 1) into 1
3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.345 * [backup-simplify]: Simplify (+ 0 0) into 0
3.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.346 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.346 * [taylor]: Taking taylor expansion of im in re
3.346 * [backup-simplify]: Simplify im into im
3.347 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.347 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.347 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.347 * [taylor]: Taking taylor expansion of re in re
3.347 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify 1 into 1
3.347 * [backup-simplify]: Simplify (* 1 1) into 1
3.348 * [backup-simplify]: Simplify (/ 1 1) into 1
3.348 * [backup-simplify]: Simplify (+ 0 1) into 1
3.349 * [backup-simplify]: Simplify (sqrt 1) into 1
3.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.350 * [backup-simplify]: Simplify (+ 0 0) into 0
3.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.351 * [taylor]: Taking taylor expansion of 1 in im
3.351 * [backup-simplify]: Simplify 1 into 1
3.351 * [taylor]: Taking taylor expansion of 0 in im
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 1 into 1
3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.353 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.355 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.355 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.355 * [taylor]: Taking taylor expansion of 1/2 in im
3.355 * [backup-simplify]: Simplify 1/2 into 1/2
3.355 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.355 * [taylor]: Taking taylor expansion of im in im
3.355 * [backup-simplify]: Simplify 0 into 0
3.355 * [backup-simplify]: Simplify 1 into 1
3.355 * [backup-simplify]: Simplify (* 1 1) into 1
3.356 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.357 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.360 * [backup-simplify]: Simplify (+ 0 0) into 0
3.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.361 * [taylor]: Taking taylor expansion of 0 in im
3.361 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.363 * [backup-simplify]: Simplify 0 into 0
3.363 * [backup-simplify]: Simplify 0 into 0
3.363 * [backup-simplify]: Simplify 0 into 0
3.363 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.364 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.364 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.365 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.365 * [taylor]: Taking taylor expansion of im in im
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 1 into 1
3.365 * [backup-simplify]: Simplify (* 1 1) into 1
3.365 * [backup-simplify]: Simplify (/ 1 1) into 1
3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.366 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.366 * [taylor]: Taking taylor expansion of re in im
3.366 * [backup-simplify]: Simplify re into re
3.366 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.366 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.366 * [backup-simplify]: Simplify (+ 1 0) into 1
3.367 * [backup-simplify]: Simplify (sqrt 1) into 1
3.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.369 * [backup-simplify]: Simplify (+ 0 0) into 0
3.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.369 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.369 * [taylor]: Taking taylor expansion of im in re
3.369 * [backup-simplify]: Simplify im into im
3.370 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.370 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.370 * [taylor]: Taking taylor expansion of (pow re 2) 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
3.370 * [backup-simplify]: Simplify (* 1 1) into 1
3.371 * [backup-simplify]: Simplify (/ 1 1) into 1
3.371 * [backup-simplify]: Simplify (+ 0 1) into 1
3.372 * [backup-simplify]: Simplify (sqrt 1) into 1
3.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.374 * [backup-simplify]: Simplify (+ 0 0) into 0
3.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.374 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.375 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.375 * [taylor]: Taking taylor expansion of im in re
3.375 * [backup-simplify]: Simplify im into im
3.375 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.375 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.375 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.375 * [taylor]: Taking taylor expansion of re in re
3.375 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify 1 into 1
3.375 * [backup-simplify]: Simplify (* 1 1) into 1
3.376 * [backup-simplify]: Simplify (/ 1 1) into 1
3.376 * [backup-simplify]: Simplify (+ 0 1) into 1
3.377 * [backup-simplify]: Simplify (sqrt 1) into 1
3.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.378 * [backup-simplify]: Simplify (+ 0 0) into 0
3.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.379 * [taylor]: Taking taylor expansion of 1 in im
3.379 * [backup-simplify]: Simplify 1 into 1
3.379 * [taylor]: Taking taylor expansion of 0 in im
3.379 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify 1 into 1
3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.382 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.383 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.383 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.383 * [taylor]: Taking taylor expansion of 1/2 in im
3.383 * [backup-simplify]: Simplify 1/2 into 1/2
3.383 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.383 * [taylor]: Taking taylor expansion of im in im
3.383 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify 1 into 1
3.383 * [backup-simplify]: Simplify (* 1 1) into 1
3.384 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify 0 into 0
3.386 * [backup-simplify]: Simplify 0 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
3.388 * [backup-simplify]: Simplify (+ 0 0) into 0
3.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.389 * [taylor]: Taking taylor expansion of 0 in im
3.389 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.391 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.391 * * * [progress]: simplifying candidates
3.395 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
3.403 * * [simplify]: Extracting # 0 : cost  0
3.403 * * [simplify]: Extracting # 1 : cost  0
3.403 * * [simplify]: Extracting # 2 : cost  0
3.403 * * [simplify]: Extracting # 3 : cost  0
3.404 * * [simplify]: Extracting # 4 : cost  0
3.404 * * [simplify]: Extracting # 5 : cost  0
3.404 * * [simplify]: Extracting # 6 : cost  0
3.405 * * [simplify]: Extracting # 7 : cost  0
3.405 * * [simplify]: iteration  0 :  133  enodes  (cost  3041 )
3.448 * * [simplify]: Extracting # 0 : cost  0
3.449 * * [simplify]: Extracting # 1 : cost  0
3.449 * * [simplify]: Extracting # 2 : cost  0
3.450 * * [simplify]: Extracting # 3 : cost  0
3.450 * * [simplify]: Extracting # 4 : cost  0
3.451 * * [simplify]: Extracting # 5 : cost  0
3.451 * * [simplify]: iteration  1 :  264  enodes  (cost  1733 )
3.578 * * [simplify]: Extracting # 0 : cost  0
3.580 * * [simplify]: Extracting # 1 : cost  0
3.581 * * [simplify]: Extracting # 2 : cost  0
3.582 * * [simplify]: Extracting # 3 : cost  0
3.584 * * [simplify]: Extracting # 4 : cost  0
3.586 * * [simplify]: Extracting # 5 : cost  0
3.587 * * [simplify]: iteration  2 :  706  enodes  (cost  1579 )
4.219 * * [simplify]: Extracting # 0 : cost  0
4.223 * * [simplify]: Extracting # 1 : cost  0
4.228 * * [simplify]: Extracting # 2 : cost  0
4.232 * * [simplify]: Extracting # 3 : cost  0
4.236 * * [simplify]: Extracting # 4 : cost  0
4.239 * * [simplify]: Extracting # 5 : cost  0
4.244 * * [simplify]: iteration  3 :  2108  enodes  (cost  1520 )
5.791 * * [simplify]: Extracting # 0 : cost  0
5.802 * * [simplify]: Extracting # 1 : cost  0
5.818 * * [simplify]: Extracting # 2 : cost  0
5.829 * * [simplify]: Extracting # 3 : cost  0
5.840 * * [simplify]: Extracting # 4 : cost  0
5.852 * * [simplify]: Extracting # 5 : cost  0
5.863 * * [simplify]: iteration done:  5001  enodes  (cost  1479 )
5.864 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (pow (+ re (sqrt (+ (* re re) (* im im)))) 3)
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* re re) (* im im))
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (+ (* re re) (* im im))) 4)
  (+ (* re re) (* im im))
  (pow (sqrt (+ (* re re) (* im im))) 4)
  2
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (+ (* re re) (* im im))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  2
  1/2
  1
  1/2
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 5)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4)))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  im
  re
  (- re)
5.866 * * * [progress]: adding candidates to table
6.394 * * [progress]: iteration 3 / 4
6.394 * * * [progress]: picking best candidate
6.417 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
6.417 * * * [progress]: localizing error
6.449 * * * [progress]: generating rewritten candidates
6.450 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
6.467 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
6.483 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
6.557 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
6.585 * * * [progress]: generating series expansions
6.585 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1)
6.586 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.586 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.586 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.586 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.586 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.586 * [taylor]: Taking taylor expansion of re in im
6.586 * [backup-simplify]: Simplify re into re
6.586 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.586 * [taylor]: Taking taylor expansion of im in im
6.586 * [backup-simplify]: Simplify 0 into 0
6.586 * [backup-simplify]: Simplify 1 into 1
6.586 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.586 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.586 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.586 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.587 * [backup-simplify]: Simplify (+ 0 0) into 0
6.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.587 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.587 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.587 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.587 * [taylor]: Taking taylor expansion of re in re
6.587 * [backup-simplify]: Simplify 0 into 0
6.588 * [backup-simplify]: Simplify 1 into 1
6.588 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.588 * [taylor]: Taking taylor expansion of im in re
6.588 * [backup-simplify]: Simplify im into im
6.588 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.588 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.588 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.588 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.589 * [backup-simplify]: Simplify (+ 0 0) into 0
6.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.589 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.589 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.589 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.589 * [taylor]: Taking taylor expansion of re in re
6.589 * [backup-simplify]: Simplify 0 into 0
6.589 * [backup-simplify]: Simplify 1 into 1
6.589 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.589 * [taylor]: Taking taylor expansion of im in re
6.589 * [backup-simplify]: Simplify im into im
6.589 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.589 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.590 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.590 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.590 * [backup-simplify]: Simplify (+ 0 0) into 0
6.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.590 * [taylor]: Taking taylor expansion of im in im
6.590 * [backup-simplify]: Simplify 0 into 0
6.591 * [backup-simplify]: Simplify 1 into 1
6.591 * [backup-simplify]: Simplify 0 into 0
6.591 * [taylor]: Taking taylor expansion of 0 in im
6.591 * [backup-simplify]: Simplify 0 into 0
6.591 * [backup-simplify]: Simplify 0 into 0
6.591 * [backup-simplify]: Simplify 1 into 1
6.591 * [backup-simplify]: Simplify (* 1 1) into 1
6.592 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.592 * [backup-simplify]: Simplify (+ 1 0) into 1
6.593 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.593 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.593 * [taylor]: Taking taylor expansion of 1/2 in im
6.593 * [backup-simplify]: Simplify 1/2 into 1/2
6.593 * [taylor]: Taking taylor expansion of im in im
6.593 * [backup-simplify]: Simplify 0 into 0
6.593 * [backup-simplify]: Simplify 1 into 1
6.594 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.595 * [backup-simplify]: Simplify 0 into 0
6.595 * [backup-simplify]: Simplify 0 into 0
6.595 * [backup-simplify]: Simplify 0 into 0
6.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.596 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.597 * [backup-simplify]: Simplify (+ 0 0) into 0
6.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.597 * [taylor]: Taking taylor expansion of 0 in im
6.597 * [backup-simplify]: Simplify 0 into 0
6.597 * [backup-simplify]: Simplify 0 into 0
6.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.598 * [backup-simplify]: Simplify 0 into 0
6.598 * [backup-simplify]: Simplify 0 into 0
6.598 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.599 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.599 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.599 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.599 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.599 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.599 * [taylor]: Taking taylor expansion of im in im
6.599 * [backup-simplify]: Simplify 0 into 0
6.599 * [backup-simplify]: Simplify 1 into 1
6.599 * [backup-simplify]: Simplify (* 1 1) into 1
6.600 * [backup-simplify]: Simplify (/ 1 1) into 1
6.600 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.600 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.600 * [taylor]: Taking taylor expansion of re in im
6.600 * [backup-simplify]: Simplify re into re
6.600 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.600 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.600 * [backup-simplify]: Simplify (+ 1 0) into 1
6.601 * [backup-simplify]: Simplify (sqrt 1) into 1
6.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.603 * [backup-simplify]: Simplify (+ 0 0) into 0
6.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.604 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.604 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.604 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.604 * [taylor]: Taking taylor expansion of im in re
6.604 * [backup-simplify]: Simplify im into im
6.604 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.604 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.604 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.604 * [taylor]: Taking taylor expansion of re in re
6.604 * [backup-simplify]: Simplify 0 into 0
6.604 * [backup-simplify]: Simplify 1 into 1
6.605 * [backup-simplify]: Simplify (* 1 1) into 1
6.605 * [backup-simplify]: Simplify (/ 1 1) into 1
6.605 * [backup-simplify]: Simplify (+ 0 1) into 1
6.606 * [backup-simplify]: Simplify (sqrt 1) into 1
6.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.608 * [backup-simplify]: Simplify (+ 0 0) into 0
6.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.608 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.609 * [taylor]: Taking taylor expansion of im in re
6.609 * [backup-simplify]: Simplify im into im
6.609 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.609 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.609 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.609 * [taylor]: Taking taylor expansion of re in re
6.609 * [backup-simplify]: Simplify 0 into 0
6.609 * [backup-simplify]: Simplify 1 into 1
6.609 * [backup-simplify]: Simplify (* 1 1) into 1
6.610 * [backup-simplify]: Simplify (/ 1 1) into 1
6.610 * [backup-simplify]: Simplify (+ 0 1) into 1
6.611 * [backup-simplify]: Simplify (sqrt 1) into 1
6.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.613 * [backup-simplify]: Simplify (+ 0 0) into 0
6.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.614 * [taylor]: Taking taylor expansion of 1 in im
6.614 * [backup-simplify]: Simplify 1 into 1
6.614 * [taylor]: Taking taylor expansion of 0 in im
6.614 * [backup-simplify]: Simplify 0 into 0
6.614 * [backup-simplify]: Simplify 1 into 1
6.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.616 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.617 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.617 * [taylor]: Taking taylor expansion of 1/2 in im
6.617 * [backup-simplify]: Simplify 1/2 into 1/2
6.617 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.617 * [taylor]: Taking taylor expansion of im in im
6.617 * [backup-simplify]: Simplify 0 into 0
6.617 * [backup-simplify]: Simplify 1 into 1
6.618 * [backup-simplify]: Simplify (* 1 1) into 1
6.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.620 * [backup-simplify]: Simplify 0 into 0
6.620 * [backup-simplify]: Simplify 0 into 0
6.620 * [backup-simplify]: Simplify 0 into 0
6.620 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.622 * [backup-simplify]: Simplify (+ 0 0) into 0
6.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.623 * [taylor]: Taking taylor expansion of 0 in im
6.623 * [backup-simplify]: Simplify 0 into 0
6.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.625 * [backup-simplify]: Simplify 0 into 0
6.625 * [backup-simplify]: Simplify 0 into 0
6.625 * [backup-simplify]: Simplify 0 into 0
6.626 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.626 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.626 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.626 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.626 * [taylor]: Taking taylor expansion of im in im
6.626 * [backup-simplify]: Simplify 0 into 0
6.626 * [backup-simplify]: Simplify 1 into 1
6.627 * [backup-simplify]: Simplify (* 1 1) into 1
6.627 * [backup-simplify]: Simplify (/ 1 1) into 1
6.627 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.627 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.627 * [taylor]: Taking taylor expansion of re in im
6.627 * [backup-simplify]: Simplify re into re
6.627 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.628 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.628 * [backup-simplify]: Simplify (+ 1 0) into 1
6.628 * [backup-simplify]: Simplify (sqrt 1) into 1
6.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.630 * [backup-simplify]: Simplify (+ 0 0) into 0
6.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.631 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.631 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.631 * [taylor]: Taking taylor expansion of im in re
6.631 * [backup-simplify]: Simplify im into im
6.631 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.632 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.632 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.632 * [taylor]: Taking taylor expansion of re in re
6.632 * [backup-simplify]: Simplify 0 into 0
6.632 * [backup-simplify]: Simplify 1 into 1
6.632 * [backup-simplify]: Simplify (* 1 1) into 1
6.633 * [backup-simplify]: Simplify (/ 1 1) into 1
6.633 * [backup-simplify]: Simplify (+ 0 1) into 1
6.633 * [backup-simplify]: Simplify (sqrt 1) into 1
6.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.635 * [backup-simplify]: Simplify (+ 0 0) into 0
6.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.636 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.636 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.636 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.636 * [taylor]: Taking taylor expansion of im in re
6.636 * [backup-simplify]: Simplify im into im
6.636 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.637 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.637 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.637 * [taylor]: Taking taylor expansion of re in re
6.637 * [backup-simplify]: Simplify 0 into 0
6.637 * [backup-simplify]: Simplify 1 into 1
6.637 * [backup-simplify]: Simplify (* 1 1) into 1
6.638 * [backup-simplify]: Simplify (/ 1 1) into 1
6.638 * [backup-simplify]: Simplify (+ 0 1) into 1
6.638 * [backup-simplify]: Simplify (sqrt 1) into 1
6.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.646 * [backup-simplify]: Simplify (+ 0 0) into 0
6.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.647 * [taylor]: Taking taylor expansion of 1 in im
6.647 * [backup-simplify]: Simplify 1 into 1
6.647 * [taylor]: Taking taylor expansion of 0 in im
6.647 * [backup-simplify]: Simplify 0 into 0
6.647 * [backup-simplify]: Simplify 1 into 1
6.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.649 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.651 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.651 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.651 * [taylor]: Taking taylor expansion of 1/2 in im
6.651 * [backup-simplify]: Simplify 1/2 into 1/2
6.651 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.651 * [taylor]: Taking taylor expansion of im in im
6.651 * [backup-simplify]: Simplify 0 into 0
6.651 * [backup-simplify]: Simplify 1 into 1
6.651 * [backup-simplify]: Simplify (* 1 1) into 1
6.652 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.653 * [backup-simplify]: Simplify 0 into 0
6.653 * [backup-simplify]: Simplify 0 into 0
6.654 * [backup-simplify]: Simplify 0 into 0
6.654 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.656 * [backup-simplify]: Simplify (+ 0 0) into 0
6.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.657 * [taylor]: Taking taylor expansion of 0 in im
6.657 * [backup-simplify]: Simplify 0 into 0
6.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.659 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
6.660 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.660 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.660 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.660 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.660 * [taylor]: Taking taylor expansion of re in im
6.660 * [backup-simplify]: Simplify re into re
6.660 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.660 * [taylor]: Taking taylor expansion of im in im
6.660 * [backup-simplify]: Simplify 0 into 0
6.660 * [backup-simplify]: Simplify 1 into 1
6.660 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.660 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.660 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.661 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.661 * [backup-simplify]: Simplify (+ 0 0) into 0
6.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.661 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.661 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.661 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.661 * [taylor]: Taking taylor expansion of re in re
6.661 * [backup-simplify]: Simplify 0 into 0
6.661 * [backup-simplify]: Simplify 1 into 1
6.661 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.661 * [taylor]: Taking taylor expansion of im in re
6.661 * [backup-simplify]: Simplify im into im
6.661 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.662 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.662 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.662 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.662 * [backup-simplify]: Simplify (+ 0 0) into 0
6.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.663 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.663 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.663 * [taylor]: Taking taylor expansion of re in re
6.663 * [backup-simplify]: Simplify 0 into 0
6.663 * [backup-simplify]: Simplify 1 into 1
6.663 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.663 * [taylor]: Taking taylor expansion of im in re
6.663 * [backup-simplify]: Simplify im into im
6.663 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.663 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.663 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.663 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.664 * [backup-simplify]: Simplify (+ 0 0) into 0
6.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.664 * [taylor]: Taking taylor expansion of im in im
6.664 * [backup-simplify]: Simplify 0 into 0
6.664 * [backup-simplify]: Simplify 1 into 1
6.664 * [backup-simplify]: Simplify 0 into 0
6.664 * [taylor]: Taking taylor expansion of 0 in im
6.664 * [backup-simplify]: Simplify 0 into 0
6.664 * [backup-simplify]: Simplify 0 into 0
6.664 * [backup-simplify]: Simplify 1 into 1
6.664 * [backup-simplify]: Simplify (* 1 1) into 1
6.665 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.665 * [backup-simplify]: Simplify (+ 1 0) into 1
6.665 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.665 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.665 * [taylor]: Taking taylor expansion of 1/2 in im
6.665 * [backup-simplify]: Simplify 1/2 into 1/2
6.665 * [taylor]: Taking taylor expansion of im in im
6.665 * [backup-simplify]: Simplify 0 into 0
6.665 * [backup-simplify]: Simplify 1 into 1
6.666 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.666 * [backup-simplify]: Simplify 0 into 0
6.666 * [backup-simplify]: Simplify 0 into 0
6.666 * [backup-simplify]: Simplify 0 into 0
6.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.667 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.668 * [backup-simplify]: Simplify (+ 0 0) into 0
6.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.668 * [taylor]: Taking taylor expansion of 0 in im
6.668 * [backup-simplify]: Simplify 0 into 0
6.668 * [backup-simplify]: Simplify 0 into 0
6.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.668 * [backup-simplify]: Simplify 0 into 0
6.668 * [backup-simplify]: Simplify 0 into 0
6.668 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.669 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.669 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.669 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.669 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.669 * [taylor]: Taking taylor expansion of im in im
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 1 into 1
6.669 * [backup-simplify]: Simplify (* 1 1) into 1
6.669 * [backup-simplify]: Simplify (/ 1 1) into 1
6.669 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.669 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.669 * [taylor]: Taking taylor expansion of re in im
6.669 * [backup-simplify]: Simplify re into re
6.669 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.669 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.670 * [backup-simplify]: Simplify (+ 1 0) into 1
6.670 * [backup-simplify]: Simplify (sqrt 1) into 1
6.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.671 * [backup-simplify]: Simplify (+ 0 0) into 0
6.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.672 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.672 * [taylor]: Taking taylor expansion of im in re
6.672 * [backup-simplify]: Simplify im into im
6.672 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.672 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.672 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.672 * [taylor]: Taking taylor expansion of re in re
6.672 * [backup-simplify]: Simplify 0 into 0
6.672 * [backup-simplify]: Simplify 1 into 1
6.672 * [backup-simplify]: Simplify (* 1 1) into 1
6.672 * [backup-simplify]: Simplify (/ 1 1) into 1
6.673 * [backup-simplify]: Simplify (+ 0 1) into 1
6.673 * [backup-simplify]: Simplify (sqrt 1) into 1
6.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.674 * [backup-simplify]: Simplify (+ 0 0) into 0
6.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.674 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.674 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.674 * [taylor]: Taking taylor expansion of im in re
6.674 * [backup-simplify]: Simplify im into im
6.674 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.675 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.675 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.675 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.675 * [taylor]: Taking taylor expansion of re in re
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [backup-simplify]: Simplify 1 into 1
6.675 * [backup-simplify]: Simplify (* 1 1) into 1
6.675 * [backup-simplify]: Simplify (/ 1 1) into 1
6.675 * [backup-simplify]: Simplify (+ 0 1) into 1
6.676 * [backup-simplify]: Simplify (sqrt 1) into 1
6.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.677 * [backup-simplify]: Simplify (+ 0 0) into 0
6.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.677 * [taylor]: Taking taylor expansion of 1 in im
6.677 * [backup-simplify]: Simplify 1 into 1
6.677 * [taylor]: Taking taylor expansion of 0 in im
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.679 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.679 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.679 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.679 * [taylor]: Taking taylor expansion of 1/2 in im
6.679 * [backup-simplify]: Simplify 1/2 into 1/2
6.679 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.679 * [taylor]: Taking taylor expansion of im in im
6.680 * [backup-simplify]: Simplify 0 into 0
6.680 * [backup-simplify]: Simplify 1 into 1
6.680 * [backup-simplify]: Simplify (* 1 1) into 1
6.680 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.681 * [backup-simplify]: Simplify 0 into 0
6.681 * [backup-simplify]: Simplify 0 into 0
6.681 * [backup-simplify]: Simplify 0 into 0
6.681 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.683 * [backup-simplify]: Simplify (+ 0 0) into 0
6.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.683 * [taylor]: Taking taylor expansion of 0 in im
6.683 * [backup-simplify]: Simplify 0 into 0
6.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.685 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.685 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.685 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.685 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.685 * [taylor]: Taking taylor expansion of im in im
6.685 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify 1 into 1
6.685 * [backup-simplify]: Simplify (* 1 1) into 1
6.686 * [backup-simplify]: Simplify (/ 1 1) into 1
6.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.686 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.686 * [taylor]: Taking taylor expansion of re in im
6.686 * [backup-simplify]: Simplify re into re
6.686 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.686 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.686 * [backup-simplify]: Simplify (+ 1 0) into 1
6.686 * [backup-simplify]: Simplify (sqrt 1) into 1
6.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.688 * [backup-simplify]: Simplify (+ 0 0) into 0
6.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.688 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.688 * [taylor]: Taking taylor expansion of im in re
6.688 * [backup-simplify]: Simplify im into im
6.688 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.688 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.688 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.688 * [taylor]: Taking taylor expansion of re in re
6.688 * [backup-simplify]: Simplify 0 into 0
6.688 * [backup-simplify]: Simplify 1 into 1
6.689 * [backup-simplify]: Simplify (* 1 1) into 1
6.689 * [backup-simplify]: Simplify (/ 1 1) into 1
6.689 * [backup-simplify]: Simplify (+ 0 1) into 1
6.689 * [backup-simplify]: Simplify (sqrt 1) into 1
6.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.690 * [backup-simplify]: Simplify (+ 0 0) into 0
6.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.691 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.691 * [taylor]: Taking taylor expansion of im in re
6.691 * [backup-simplify]: Simplify im into im
6.691 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.691 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.691 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.691 * [taylor]: Taking taylor expansion of re in re
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 1 into 1
6.691 * [backup-simplify]: Simplify (* 1 1) into 1
6.692 * [backup-simplify]: Simplify (/ 1 1) into 1
6.692 * [backup-simplify]: Simplify (+ 0 1) into 1
6.692 * [backup-simplify]: Simplify (sqrt 1) into 1
6.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.693 * [backup-simplify]: Simplify (+ 0 0) into 0
6.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.694 * [taylor]: Taking taylor expansion of 1 in im
6.694 * [backup-simplify]: Simplify 1 into 1
6.694 * [taylor]: Taking taylor expansion of 0 in im
6.694 * [backup-simplify]: Simplify 0 into 0
6.694 * [backup-simplify]: Simplify 1 into 1
6.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.695 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.697 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.697 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.697 * [taylor]: Taking taylor expansion of 1/2 in im
6.697 * [backup-simplify]: Simplify 1/2 into 1/2
6.697 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.697 * [taylor]: Taking taylor expansion of im in im
6.697 * [backup-simplify]: Simplify 0 into 0
6.697 * [backup-simplify]: Simplify 1 into 1
6.697 * [backup-simplify]: Simplify (* 1 1) into 1
6.698 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.699 * [backup-simplify]: Simplify 0 into 0
6.699 * [backup-simplify]: Simplify 0 into 0
6.699 * [backup-simplify]: Simplify 0 into 0
6.700 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.702 * [backup-simplify]: Simplify (+ 0 0) into 0
6.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.703 * [taylor]: Taking taylor expansion of 0 in im
6.703 * [backup-simplify]: Simplify 0 into 0
6.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.705 * [backup-simplify]: Simplify 0 into 0
6.705 * [backup-simplify]: Simplify 0 into 0
6.705 * [backup-simplify]: Simplify 0 into 0
6.705 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.706 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
6.706 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
6.706 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
6.706 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
6.706 * [taylor]: Taking taylor expansion of re in im
6.706 * [backup-simplify]: Simplify re into re
6.707 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.707 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.707 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.707 * [taylor]: Taking taylor expansion of re in im
6.707 * [backup-simplify]: Simplify re into re
6.707 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.707 * [taylor]: Taking taylor expansion of im in im
6.707 * [backup-simplify]: Simplify 0 into 0
6.707 * [backup-simplify]: Simplify 1 into 1
6.707 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.707 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.707 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.707 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.708 * [backup-simplify]: Simplify (+ 0 0) into 0
6.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.708 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.708 * [taylor]: Taking taylor expansion of re in re
6.708 * [backup-simplify]: Simplify 0 into 0
6.708 * [backup-simplify]: Simplify 1 into 1
6.708 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.708 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.708 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.708 * [taylor]: Taking taylor expansion of re in re
6.708 * [backup-simplify]: Simplify 0 into 0
6.708 * [backup-simplify]: Simplify 1 into 1
6.708 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.708 * [taylor]: Taking taylor expansion of im in re
6.708 * [backup-simplify]: Simplify im into im
6.708 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.709 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.709 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.709 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.709 * [backup-simplify]: Simplify (+ 0 0) into 0
6.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.709 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
6.709 * [taylor]: Taking taylor expansion of re in re
6.709 * [backup-simplify]: Simplify 0 into 0
6.709 * [backup-simplify]: Simplify 1 into 1
6.709 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.710 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.710 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.710 * [taylor]: Taking taylor expansion of re in re
6.710 * [backup-simplify]: Simplify 0 into 0
6.710 * [backup-simplify]: Simplify 1 into 1
6.710 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.710 * [taylor]: Taking taylor expansion of im in re
6.710 * [backup-simplify]: Simplify im into im
6.710 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.710 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.710 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.710 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.711 * [backup-simplify]: Simplify (+ 0 0) into 0
6.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.711 * [backup-simplify]: Simplify (+ 0 im) into im
6.711 * [taylor]: Taking taylor expansion of im in im
6.711 * [backup-simplify]: Simplify 0 into 0
6.711 * [backup-simplify]: Simplify 1 into 1
6.711 * [backup-simplify]: Simplify 0 into 0
6.711 * [backup-simplify]: Simplify (+ 1 0) into 1
6.712 * [taylor]: Taking taylor expansion of 1 in im
6.712 * [backup-simplify]: Simplify 1 into 1
6.712 * [backup-simplify]: Simplify 1 into 1
6.712 * [backup-simplify]: Simplify 1 into 1
6.712 * [backup-simplify]: Simplify (* 1 1) into 1
6.713 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.713 * [backup-simplify]: Simplify (+ 1 0) into 1
6.714 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.714 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.714 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.714 * [taylor]: Taking taylor expansion of 1/2 in im
6.714 * [backup-simplify]: Simplify 1/2 into 1/2
6.714 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.714 * [taylor]: Taking taylor expansion of im in im
6.714 * [backup-simplify]: Simplify 0 into 0
6.714 * [backup-simplify]: Simplify 1 into 1
6.714 * [backup-simplify]: Simplify (/ 1 1) into 1
6.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.716 * [backup-simplify]: Simplify 0 into 0
6.716 * [backup-simplify]: Simplify 0 into 0
6.716 * [backup-simplify]: Simplify 0 into 0
6.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.718 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.718 * [backup-simplify]: Simplify (+ 0 0) into 0
6.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.719 * [backup-simplify]: Simplify (+ 0 0) into 0
6.719 * [taylor]: Taking taylor expansion of 0 in im
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [backup-simplify]: Simplify 0 into 0
6.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.721 * [backup-simplify]: Simplify 0 into 0
6.721 * [backup-simplify]: Simplify 0 into 0
6.721 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
6.722 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
6.722 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
6.722 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.722 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.722 * [taylor]: Taking taylor expansion of re in im
6.722 * [backup-simplify]: Simplify re into re
6.722 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.722 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.722 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.722 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.723 * [taylor]: Taking taylor expansion of im in im
6.723 * [backup-simplify]: Simplify 0 into 0
6.723 * [backup-simplify]: Simplify 1 into 1
6.723 * [backup-simplify]: Simplify (* 1 1) into 1
6.724 * [backup-simplify]: Simplify (/ 1 1) into 1
6.724 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.724 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.724 * [taylor]: Taking taylor expansion of re in im
6.724 * [backup-simplify]: Simplify re into re
6.724 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.724 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.725 * [backup-simplify]: Simplify (+ 1 0) into 1
6.725 * [backup-simplify]: Simplify (sqrt 1) into 1
6.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.727 * [backup-simplify]: Simplify (+ 0 0) into 0
6.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.727 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.727 * [taylor]: Taking taylor expansion of re in re
6.727 * [backup-simplify]: Simplify 0 into 0
6.727 * [backup-simplify]: Simplify 1 into 1
6.728 * [backup-simplify]: Simplify (/ 1 1) into 1
6.728 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.728 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.728 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.728 * [taylor]: Taking taylor expansion of im in re
6.728 * [backup-simplify]: Simplify im into im
6.728 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.728 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.728 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.728 * [taylor]: Taking taylor expansion of re in re
6.728 * [backup-simplify]: Simplify 0 into 0
6.728 * [backup-simplify]: Simplify 1 into 1
6.728 * [backup-simplify]: Simplify (* 1 1) into 1
6.728 * [backup-simplify]: Simplify (/ 1 1) into 1
6.729 * [backup-simplify]: Simplify (+ 0 1) into 1
6.729 * [backup-simplify]: Simplify (sqrt 1) into 1
6.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.730 * [backup-simplify]: Simplify (+ 0 0) into 0
6.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.730 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.730 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.730 * [taylor]: Taking taylor expansion of re in re
6.731 * [backup-simplify]: Simplify 0 into 0
6.731 * [backup-simplify]: Simplify 1 into 1
6.731 * [backup-simplify]: Simplify (/ 1 1) into 1
6.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.731 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.731 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.731 * [taylor]: Taking taylor expansion of im in re
6.731 * [backup-simplify]: Simplify im into im
6.731 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.731 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.731 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.731 * [taylor]: Taking taylor expansion of re in re
6.731 * [backup-simplify]: Simplify 0 into 0
6.731 * [backup-simplify]: Simplify 1 into 1
6.731 * [backup-simplify]: Simplify (* 1 1) into 1
6.732 * [backup-simplify]: Simplify (/ 1 1) into 1
6.732 * [backup-simplify]: Simplify (+ 0 1) into 1
6.732 * [backup-simplify]: Simplify (sqrt 1) into 1
6.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.733 * [backup-simplify]: Simplify (+ 0 0) into 0
6.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.734 * [backup-simplify]: Simplify (+ 1 1) into 2
6.734 * [taylor]: Taking taylor expansion of 2 in im
6.734 * [backup-simplify]: Simplify 2 into 2
6.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.735 * [backup-simplify]: Simplify (+ 0 0) into 0
6.735 * [taylor]: Taking taylor expansion of 0 in im
6.735 * [backup-simplify]: Simplify 0 into 0
6.735 * [backup-simplify]: Simplify 2 into 2
6.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.736 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.737 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.737 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.737 * [taylor]: Taking taylor expansion of 1/2 in im
6.737 * [backup-simplify]: Simplify 1/2 into 1/2
6.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.737 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.738 * [taylor]: Taking taylor expansion of im in im
6.738 * [backup-simplify]: Simplify 0 into 0
6.738 * [backup-simplify]: Simplify 1 into 1
6.738 * [backup-simplify]: Simplify (* 1 1) into 1
6.738 * [backup-simplify]: Simplify (/ 1 1) into 1
6.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.739 * [backup-simplify]: Simplify 0 into 0
6.739 * [backup-simplify]: Simplify 0 into 0
6.739 * [backup-simplify]: Simplify 0 into 0
6.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.740 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.742 * [backup-simplify]: Simplify (+ 0 0) into 0
6.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.742 * [backup-simplify]: Simplify (+ 0 0) into 0
6.742 * [taylor]: Taking taylor expansion of 0 in im
6.742 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.744 * [backup-simplify]: Simplify 0 into 0
6.744 * [backup-simplify]: Simplify 0 into 0
6.744 * [backup-simplify]: Simplify 0 into 0
6.744 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
6.745 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
6.745 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
6.745 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
6.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.745 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.745 * [taylor]: Taking taylor expansion of im in im
6.745 * [backup-simplify]: Simplify 0 into 0
6.745 * [backup-simplify]: Simplify 1 into 1
6.745 * [backup-simplify]: Simplify (* 1 1) into 1
6.746 * [backup-simplify]: Simplify (/ 1 1) into 1
6.746 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.746 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.746 * [taylor]: Taking taylor expansion of re in im
6.746 * [backup-simplify]: Simplify re into re
6.746 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.746 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.746 * [backup-simplify]: Simplify (+ 1 0) into 1
6.746 * [backup-simplify]: Simplify (sqrt 1) into 1
6.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.747 * [backup-simplify]: Simplify (+ 0 0) into 0
6.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.748 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.748 * [taylor]: Taking taylor expansion of re in im
6.748 * [backup-simplify]: Simplify re into re
6.748 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.748 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.748 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.748 * [taylor]: Taking taylor expansion of im in re
6.748 * [backup-simplify]: Simplify im into im
6.748 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.748 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.748 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.748 * [taylor]: Taking taylor expansion of re in re
6.748 * [backup-simplify]: Simplify 0 into 0
6.748 * [backup-simplify]: Simplify 1 into 1
6.749 * [backup-simplify]: Simplify (* 1 1) into 1
6.749 * [backup-simplify]: Simplify (/ 1 1) into 1
6.749 * [backup-simplify]: Simplify (+ 0 1) into 1
6.749 * [backup-simplify]: Simplify (sqrt 1) into 1
6.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.750 * [backup-simplify]: Simplify (+ 0 0) into 0
6.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.751 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.751 * [taylor]: Taking taylor expansion of re in re
6.751 * [backup-simplify]: Simplify 0 into 0
6.751 * [backup-simplify]: Simplify 1 into 1
6.751 * [backup-simplify]: Simplify (/ 1 1) into 1
6.751 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.751 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.751 * [taylor]: Taking taylor expansion of im in re
6.751 * [backup-simplify]: Simplify im into im
6.751 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.751 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.751 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.751 * [taylor]: Taking taylor expansion of re in re
6.752 * [backup-simplify]: Simplify 0 into 0
6.752 * [backup-simplify]: Simplify 1 into 1
6.752 * [backup-simplify]: Simplify (* 1 1) into 1
6.752 * [backup-simplify]: Simplify (/ 1 1) into 1
6.752 * [backup-simplify]: Simplify (+ 0 1) into 1
6.753 * [backup-simplify]: Simplify (sqrt 1) into 1
6.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.754 * [backup-simplify]: Simplify (+ 0 0) into 0
6.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.754 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.754 * [taylor]: Taking taylor expansion of re in re
6.754 * [backup-simplify]: Simplify 0 into 0
6.754 * [backup-simplify]: Simplify 1 into 1
6.754 * [backup-simplify]: Simplify (/ 1 1) into 1
6.755 * [backup-simplify]: Simplify (- 1) into -1
6.755 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.755 * [taylor]: Taking taylor expansion of 0 in im
6.755 * [backup-simplify]: Simplify 0 into 0
6.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.756 * [backup-simplify]: Simplify (- 0) into 0
6.757 * [backup-simplify]: Simplify (+ 0 0) into 0
6.757 * [taylor]: Taking taylor expansion of 0 in im
6.757 * [backup-simplify]: Simplify 0 into 0
6.757 * [backup-simplify]: Simplify 0 into 0
6.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.759 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.760 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.762 * [backup-simplify]: Simplify (- 0) into 0
6.762 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.762 * [taylor]: Taking taylor expansion of 1/2 in im
6.762 * [backup-simplify]: Simplify 1/2 into 1/2
6.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.762 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.762 * [taylor]: Taking taylor expansion of im in im
6.762 * [backup-simplify]: Simplify 0 into 0
6.762 * [backup-simplify]: Simplify 1 into 1
6.766 * [backup-simplify]: Simplify (* 1 1) into 1
6.767 * [backup-simplify]: Simplify (/ 1 1) into 1
6.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.769 * [backup-simplify]: Simplify 0 into 0
6.770 * [backup-simplify]: Simplify 0 into 0
6.770 * [backup-simplify]: Simplify 0 into 0
6.770 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.772 * [backup-simplify]: Simplify (+ 0 0) into 0
6.773 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.775 * [backup-simplify]: Simplify (- 0) into 0
6.775 * [backup-simplify]: Simplify (+ 0 0) into 0
6.775 * [taylor]: Taking taylor expansion of 0 in im
6.775 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
6.779 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3)
6.779 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in (re im) around 0
6.779 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in im
6.779 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in im
6.779 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in im
6.779 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in im
6.779 * [taylor]: Taking taylor expansion of 1/8 in im
6.779 * [backup-simplify]: Simplify 1/8 into 1/8
6.779 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
6.779 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.779 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.779 * [taylor]: Taking taylor expansion of re in im
6.779 * [backup-simplify]: Simplify re into re
6.779 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.779 * [taylor]: Taking taylor expansion of im in im
6.779 * [backup-simplify]: Simplify 0 into 0
6.779 * [backup-simplify]: Simplify 1 into 1
6.779 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.779 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.780 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
6.780 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2)))
6.780 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8)
6.780 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
6.780 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
6.780 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
6.780 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
6.780 * [taylor]: Taking taylor expansion of 1/8 in re
6.780 * [backup-simplify]: Simplify 1/8 into 1/8
6.780 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
6.780 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.780 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.780 * [taylor]: Taking taylor expansion of re in re
6.780 * [backup-simplify]: Simplify 0 into 0
6.780 * [backup-simplify]: Simplify 1 into 1
6.780 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.780 * [taylor]: Taking taylor expansion of im in re
6.780 * [backup-simplify]: Simplify im into im
6.780 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.781 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.781 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
6.781 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
6.781 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
6.781 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
6.781 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
6.781 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
6.781 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
6.781 * [taylor]: Taking taylor expansion of 1/8 in re
6.781 * [backup-simplify]: Simplify 1/8 into 1/8
6.781 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
6.781 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.781 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.781 * [taylor]: Taking taylor expansion of re in re
6.781 * [backup-simplify]: Simplify 0 into 0
6.781 * [backup-simplify]: Simplify 1 into 1
6.781 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.781 * [taylor]: Taking taylor expansion of im in re
6.782 * [backup-simplify]: Simplify im into im
6.782 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.782 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.782 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
6.782 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
6.782 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
6.783 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (pow (pow im 2) 1/8)) into (sqrt im)
6.783 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (sqrt im)) into (pow (pow im 3) 1/4)
6.783 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im
6.783 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
6.783 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im
6.783 * [taylor]: Taking taylor expansion of 1/4 in im
6.783 * [backup-simplify]: Simplify 1/4 into 1/4
6.783 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im
6.783 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.783 * [taylor]: Taking taylor expansion of im in im
6.783 * [backup-simplify]: Simplify 0 into 0
6.783 * [backup-simplify]: Simplify 1 into 1
6.784 * [backup-simplify]: Simplify (* 1 1) into 1
6.784 * [backup-simplify]: Simplify (* 1 1) into 1
6.784 * [backup-simplify]: Simplify (log 1) into 0
6.785 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.785 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im))
6.785 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4)
6.785 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4)
6.785 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.786 * [backup-simplify]: Simplify (+ 0 0) into 0
6.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
6.787 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow im 2)))) into 0
6.789 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.789 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (pow (pow im 2) 1/8))) into 0
6.789 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (sqrt im))) into 0
6.789 * [taylor]: Taking taylor expansion of 0 in im
6.789 * [backup-simplify]: Simplify 0 into 0
6.789 * [backup-simplify]: Simplify 0 into 0
6.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.793 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.793 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
6.794 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.794 * [backup-simplify]: Simplify 0 into 0
6.795 * [backup-simplify]: Simplify (* 1 1) into 1
6.795 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.796 * [backup-simplify]: Simplify (+ 1 0) into 1
6.798 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
6.798 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/8 (/ 1 (pow im 2)))
6.799 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
6.801 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (pow im 2) 1/8)))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.802 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.802 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
6.802 * [taylor]: Taking taylor expansion of 3/8 in im
6.802 * [backup-simplify]: Simplify 3/8 into 3/8
6.802 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
6.802 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
6.802 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im
6.802 * [taylor]: Taking taylor expansion of 1/4 in im
6.802 * [backup-simplify]: Simplify 1/4 into 1/4
6.802 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
6.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
6.803 * [taylor]: Taking taylor expansion of (pow im 5) in im
6.803 * [taylor]: Taking taylor expansion of im in im
6.803 * [backup-simplify]: Simplify 0 into 0
6.803 * [backup-simplify]: Simplify 1 into 1
6.803 * [backup-simplify]: Simplify (* 1 1) into 1
6.803 * [backup-simplify]: Simplify (* 1 1) into 1
6.804 * [backup-simplify]: Simplify (* 1 1) into 1
6.804 * [backup-simplify]: Simplify (/ 1 1) into 1
6.805 * [backup-simplify]: Simplify (log 1) into 0
6.805 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
6.805 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
6.805 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
6.806 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.806 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
6.806 * [backup-simplify]: Simplify 0 into 0
6.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.812 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.813 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
6.814 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.814 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.816 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.817 * [backup-simplify]: Simplify (+ 0 0) into 0
6.820 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
6.821 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
6.824 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.825 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow (pow im 2) 1/8))))) into 0
6.825 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0
6.826 * [taylor]: Taking taylor expansion of 0 in im
6.826 * [backup-simplify]: Simplify 0 into 0
6.826 * [backup-simplify]: Simplify 0 into 0
6.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.830 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.831 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
6.831 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
6.832 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.833 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
6.833 * [backup-simplify]: Simplify 0 into 0
6.833 * [backup-simplify]: Simplify 0 into 0
6.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.841 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.842 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
6.843 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
6.845 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.845 * [backup-simplify]: Simplify 0 into 0
6.846 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
6.846 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3)
6.846 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
6.846 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
6.846 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
6.846 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
6.846 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.846 * [taylor]: Taking taylor expansion of 1/8 in im
6.846 * [backup-simplify]: Simplify 1/8 into 1/8
6.846 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.847 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.847 * [taylor]: Taking taylor expansion of im in im
6.847 * [backup-simplify]: Simplify 0 into 0
6.847 * [backup-simplify]: Simplify 1 into 1
6.847 * [backup-simplify]: Simplify (* 1 1) into 1
6.848 * [backup-simplify]: Simplify (/ 1 1) into 1
6.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.848 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.848 * [taylor]: Taking taylor expansion of re in im
6.848 * [backup-simplify]: Simplify re into re
6.848 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.848 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.848 * [backup-simplify]: Simplify (+ 1 0) into 1
6.849 * [backup-simplify]: Simplify (log 1) into 0
6.849 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
6.849 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
6.850 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
6.850 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.850 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.850 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.850 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.850 * [taylor]: Taking taylor expansion of 1/8 in re
6.850 * [backup-simplify]: Simplify 1/8 into 1/8
6.850 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.850 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.850 * [taylor]: Taking taylor expansion of im in re
6.850 * [backup-simplify]: Simplify im into im
6.850 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.850 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.850 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.850 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.850 * [taylor]: Taking taylor expansion of re in re
6.850 * [backup-simplify]: Simplify 0 into 0
6.850 * [backup-simplify]: Simplify 1 into 1
6.851 * [backup-simplify]: Simplify (* 1 1) into 1
6.851 * [backup-simplify]: Simplify (/ 1 1) into 1
6.852 * [backup-simplify]: Simplify (+ 0 1) into 1
6.852 * [backup-simplify]: Simplify (log 1) into 0
6.853 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.853 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.853 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.853 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.853 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.853 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.853 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.853 * [taylor]: Taking taylor expansion of 1/8 in re
6.853 * [backup-simplify]: Simplify 1/8 into 1/8
6.853 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.853 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.853 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.853 * [taylor]: Taking taylor expansion of im in re
6.853 * [backup-simplify]: Simplify im into im
6.853 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.854 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.854 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.854 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.854 * [taylor]: Taking taylor expansion of re in re
6.854 * [backup-simplify]: Simplify 0 into 0
6.854 * [backup-simplify]: Simplify 1 into 1
6.854 * [backup-simplify]: Simplify (* 1 1) into 1
6.855 * [backup-simplify]: Simplify (/ 1 1) into 1
6.855 * [backup-simplify]: Simplify (+ 0 1) into 1
6.855 * [backup-simplify]: Simplify (log 1) into 0
6.856 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.856 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.856 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.856 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
6.857 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
6.857 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.857 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.857 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.857 * [taylor]: Taking taylor expansion of 1/4 in im
6.857 * [backup-simplify]: Simplify 1/4 into 1/4
6.857 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.857 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.857 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.857 * [taylor]: Taking taylor expansion of re in im
6.857 * [backup-simplify]: Simplify re into re
6.857 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.857 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.857 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.858 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.858 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.858 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.858 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
6.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.860 * [backup-simplify]: Simplify (+ 0 0) into 0
6.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.862 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.863 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
6.863 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.864 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
6.864 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
6.864 * [taylor]: Taking taylor expansion of 0 in im
6.864 * [backup-simplify]: Simplify 0 into 0
6.864 * [backup-simplify]: Simplify 0 into 0
6.864 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.864 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.866 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.867 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.867 * [backup-simplify]: Simplify 0 into 0
6.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.870 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.872 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
6.872 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.873 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
6.874 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
6.876 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
6.877 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
6.877 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
6.877 * [taylor]: Taking taylor expansion of 3/8 in im
6.878 * [backup-simplify]: Simplify 3/8 into 3/8
6.878 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
6.878 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.878 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.878 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.878 * [taylor]: Taking taylor expansion of 1/4 in im
6.878 * [backup-simplify]: Simplify 1/4 into 1/4
6.878 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.878 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.878 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.878 * [taylor]: Taking taylor expansion of re in im
6.878 * [backup-simplify]: Simplify re into re
6.878 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.878 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.878 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.878 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.879 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.879 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.879 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.879 * [taylor]: Taking taylor expansion of im in im
6.879 * [backup-simplify]: Simplify 0 into 0
6.879 * [backup-simplify]: Simplify 1 into 1
6.879 * [backup-simplify]: Simplify (* 1 1) into 1
6.880 * [backup-simplify]: Simplify (/ 1 1) into 1
6.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.883 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.884 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.887 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.887 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.888 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.890 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.891 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.893 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.894 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
6.895 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
6.895 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
6.896 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
6.896 * [backup-simplify]: Simplify 0 into 0
6.896 * [backup-simplify]: Simplify 0 into 0
6.897 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.897 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.900 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.901 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.902 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.902 * [backup-simplify]: Simplify 0 into 0
6.903 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.905 * [backup-simplify]: Simplify (+ 0 0) into 0
6.909 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.910 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.911 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
6.913 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.914 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
6.915 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
6.915 * [taylor]: Taking taylor expansion of 0 in im
6.915 * [backup-simplify]: Simplify 0 into 0
6.915 * [backup-simplify]: Simplify 0 into 0
6.915 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4)
6.916 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3)
6.916 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
6.916 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
6.916 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
6.916 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
6.916 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.916 * [taylor]: Taking taylor expansion of 1/8 in im
6.916 * [backup-simplify]: Simplify 1/8 into 1/8
6.916 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.916 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.916 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.916 * [taylor]: Taking taylor expansion of im in im
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [backup-simplify]: Simplify 1 into 1
6.917 * [backup-simplify]: Simplify (* 1 1) into 1
6.917 * [backup-simplify]: Simplify (/ 1 1) into 1
6.917 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.917 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.917 * [taylor]: Taking taylor expansion of re in im
6.917 * [backup-simplify]: Simplify re into re
6.917 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.918 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.918 * [backup-simplify]: Simplify (+ 1 0) into 1
6.918 * [backup-simplify]: Simplify (log 1) into 0
6.919 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
6.919 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
6.919 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
6.919 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.919 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.919 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.919 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.919 * [taylor]: Taking taylor expansion of 1/8 in re
6.919 * [backup-simplify]: Simplify 1/8 into 1/8
6.919 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.919 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.919 * [taylor]: Taking taylor expansion of im in re
6.919 * [backup-simplify]: Simplify im into im
6.919 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.920 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.920 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.920 * [taylor]: Taking taylor expansion of re in re
6.920 * [backup-simplify]: Simplify 0 into 0
6.920 * [backup-simplify]: Simplify 1 into 1
6.920 * [backup-simplify]: Simplify (* 1 1) into 1
6.920 * [backup-simplify]: Simplify (/ 1 1) into 1
6.921 * [backup-simplify]: Simplify (+ 0 1) into 1
6.921 * [backup-simplify]: Simplify (log 1) into 0
6.922 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.922 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.922 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.922 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
6.922 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
6.922 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.922 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.922 * [taylor]: Taking taylor expansion of 1/8 in re
6.922 * [backup-simplify]: Simplify 1/8 into 1/8
6.922 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.922 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.922 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.922 * [taylor]: Taking taylor expansion of im in re
6.922 * [backup-simplify]: Simplify im into im
6.922 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.923 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.923 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.923 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.923 * [taylor]: Taking taylor expansion of re in re
6.923 * [backup-simplify]: Simplify 0 into 0
6.923 * [backup-simplify]: Simplify 1 into 1
6.923 * [backup-simplify]: Simplify (* 1 1) into 1
6.923 * [backup-simplify]: Simplify (/ 1 1) into 1
6.924 * [backup-simplify]: Simplify (+ 0 1) into 1
6.924 * [backup-simplify]: Simplify (log 1) into 0
6.925 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.925 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
6.925 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
6.925 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
6.926 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
6.926 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.926 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.926 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.926 * [taylor]: Taking taylor expansion of 1/4 in im
6.926 * [backup-simplify]: Simplify 1/4 into 1/4
6.926 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.926 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.926 * [taylor]: Taking taylor expansion of re in im
6.926 * [backup-simplify]: Simplify re into re
6.926 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.926 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.926 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.926 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.927 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.927 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.927 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
6.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.929 * [backup-simplify]: Simplify (+ 0 0) into 0
6.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.931 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.931 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
6.932 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.932 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
6.933 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
6.933 * [taylor]: Taking taylor expansion of 0 in im
6.933 * [backup-simplify]: Simplify 0 into 0
6.933 * [backup-simplify]: Simplify 0 into 0
6.933 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.933 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.940 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.940 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.943 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.945 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
6.946 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.946 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
6.947 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
6.949 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
6.951 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
6.951 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
6.951 * [taylor]: Taking taylor expansion of 3/8 in im
6.951 * [backup-simplify]: Simplify 3/8 into 3/8
6.951 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
6.951 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
6.951 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
6.951 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
6.951 * [taylor]: Taking taylor expansion of 1/4 in im
6.951 * [backup-simplify]: Simplify 1/4 into 1/4
6.951 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
6.951 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
6.951 * [taylor]: Taking taylor expansion of (pow re 3) in im
6.951 * [taylor]: Taking taylor expansion of re in im
6.951 * [backup-simplify]: Simplify re into re
6.951 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.951 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
6.951 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
6.952 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
6.952 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
6.952 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
6.952 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.952 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.952 * [taylor]: Taking taylor expansion of im in im
6.952 * [backup-simplify]: Simplify 0 into 0
6.952 * [backup-simplify]: Simplify 1 into 1
6.952 * [backup-simplify]: Simplify (* 1 1) into 1
6.953 * [backup-simplify]: Simplify (/ 1 1) into 1
6.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.956 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.956 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
6.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
6.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
6.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
6.957 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.958 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.958 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.960 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.960 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.961 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.962 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
6.962 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
6.962 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
6.963 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
6.963 * [backup-simplify]: Simplify 0 into 0
6.963 * [backup-simplify]: Simplify 0 into 0
6.963 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.963 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
6.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
6.965 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
6.966 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
6.966 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.966 * [backup-simplify]: Simplify 0 into 0
6.967 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.968 * [backup-simplify]: Simplify (+ 0 0) into 0
6.970 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.971 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.971 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
6.973 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.973 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
6.974 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
6.974 * [taylor]: Taking taylor expansion of 0 in im
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4)
6.974 * * * [progress]: simplifying candidates
6.976 * [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)
6.978 * * [simplify]: Extracting # 0 : cost  0
6.978 * * [simplify]: Extracting # 1 : cost  0
6.979 * * [simplify]: Extracting # 2 : cost  0
6.979 * * [simplify]: Extracting # 3 : cost  0
6.979 * * [simplify]: Extracting # 4 : cost  0
6.979 * * [simplify]: Extracting # 5 : cost  0
6.979 * * [simplify]: Extracting # 6 : cost  0
6.979 * * [simplify]: Extracting # 7 : cost  0
6.980 * * [simplify]: Extracting # 8 : cost  0
6.980 * * [simplify]: Extracting # 9 : cost  0
6.980 * * [simplify]: iteration  0 :  151  enodes  (cost  1948 )
7.064 * * [simplify]: Extracting # 0 : cost  0
7.064 * * [simplify]: Extracting # 1 : cost  0
7.064 * * [simplify]: Extracting # 2 : cost  0
7.065 * * [simplify]: Extracting # 3 : cost  0
7.065 * * [simplify]: Extracting # 4 : cost  0
7.066 * * [simplify]: Extracting # 5 : cost  0
7.066 * * [simplify]: Extracting # 6 : cost  0
7.066 * * [simplify]: iteration  1 :  395  enodes  (cost  1446 )
7.220 * * [simplify]: Extracting # 0 : cost  0
7.222 * * [simplify]: Extracting # 1 : cost  0
7.223 * * [simplify]: Extracting # 2 : cost  0
7.224 * * [simplify]: Extracting # 3 : cost  0
7.225 * * [simplify]: Extracting # 4 : cost  0
7.226 * * [simplify]: Extracting # 5 : cost  0
7.231 * * [simplify]: Extracting # 6 : cost  0
7.234 * * [simplify]: iteration  2 :  977  enodes  (cost  1345 )
8.125 * * [simplify]: Extracting # 0 : cost  0
8.140 * * [simplify]: Extracting # 1 : cost  0
8.153 * * [simplify]: Extracting # 2 : cost  0
8.172 * * [simplify]: Extracting # 3 : cost  0
8.178 * * [simplify]: Extracting # 4 : cost  0
8.185 * * [simplify]: iteration done:  5000  enodes  (cost  1281 )
8.186 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3))
  (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im)))
  (- (+ (* re re) (* im im)) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  3/2
  3
  3/4
  3/2
  3/8
  3/4
  3/8
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (fabs (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))
  (pow (fabs (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 6) (pow re 6))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))))) 3)
  (pow (sqrt (sqrt (sqrt (- (pow re 4) (pow im 4))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  3/2
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
  (pow (pow re 3) 1/4)
  (pow (- (pow re 3)) 1/4)
8.187 * * * [progress]: adding candidates to table
8.654 * * [progress]: iteration 4 / 4
8.654 * * * [progress]: picking best candidate
8.671 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.671 * * * [progress]: localizing error
8.714 * * * [progress]: generating rewritten candidates
8.714 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
8.742 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1 1)
8.760 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1 1)
8.777 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
9.053 * * * [progress]: generating series expansions
9.053 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1)
9.054 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
9.054 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
9.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.054 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.054 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.054 * [taylor]: Taking taylor expansion of re in im
9.054 * [backup-simplify]: Simplify re into re
9.054 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.054 * [taylor]: Taking taylor expansion of im in im
9.054 * [backup-simplify]: Simplify 0 into 0
9.054 * [backup-simplify]: Simplify 1 into 1
9.054 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.054 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.055 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.055 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.055 * [backup-simplify]: Simplify (+ 0 0) into 0
9.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.056 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.056 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.056 * [taylor]: Taking taylor expansion of re in re
9.056 * [backup-simplify]: Simplify 0 into 0
9.056 * [backup-simplify]: Simplify 1 into 1
9.056 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.056 * [taylor]: Taking taylor expansion of im in re
9.056 * [backup-simplify]: Simplify im into im
9.056 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.056 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.056 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.056 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.057 * [backup-simplify]: Simplify (+ 0 0) into 0
9.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.057 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.057 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.057 * [taylor]: Taking taylor expansion of re in re
9.057 * [backup-simplify]: Simplify 0 into 0
9.057 * [backup-simplify]: Simplify 1 into 1
9.057 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.057 * [taylor]: Taking taylor expansion of im in re
9.057 * [backup-simplify]: Simplify im into im
9.057 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.058 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.058 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.058 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.058 * [backup-simplify]: Simplify (+ 0 0) into 0
9.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.059 * [taylor]: Taking taylor expansion of im in im
9.059 * [backup-simplify]: Simplify 0 into 0
9.059 * [backup-simplify]: Simplify 1 into 1
9.059 * [backup-simplify]: Simplify 0 into 0
9.059 * [taylor]: Taking taylor expansion of 0 in im
9.059 * [backup-simplify]: Simplify 0 into 0
9.059 * [backup-simplify]: Simplify 0 into 0
9.059 * [backup-simplify]: Simplify 1 into 1
9.059 * [backup-simplify]: Simplify (* 1 1) into 1
9.060 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.060 * [backup-simplify]: Simplify (+ 1 0) into 1
9.061 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.061 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.061 * [taylor]: Taking taylor expansion of 1/2 in im
9.061 * [backup-simplify]: Simplify 1/2 into 1/2
9.061 * [taylor]: Taking taylor expansion of im in im
9.061 * [backup-simplify]: Simplify 0 into 0
9.061 * [backup-simplify]: Simplify 1 into 1
9.062 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.063 * [backup-simplify]: Simplify 0 into 0
9.063 * [backup-simplify]: Simplify 0 into 0
9.063 * [backup-simplify]: Simplify 0 into 0
9.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.064 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.065 * [backup-simplify]: Simplify (+ 0 0) into 0
9.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.065 * [taylor]: Taking taylor expansion of 0 in im
9.065 * [backup-simplify]: Simplify 0 into 0
9.065 * [backup-simplify]: Simplify 0 into 0
9.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.066 * [backup-simplify]: Simplify 0 into 0
9.066 * [backup-simplify]: Simplify 0 into 0
9.066 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.067 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.067 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.067 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.067 * [taylor]: Taking taylor expansion of im in im
9.067 * [backup-simplify]: Simplify 0 into 0
9.067 * [backup-simplify]: Simplify 1 into 1
9.067 * [backup-simplify]: Simplify (* 1 1) into 1
9.068 * [backup-simplify]: Simplify (/ 1 1) into 1
9.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.068 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.068 * [taylor]: Taking taylor expansion of re in im
9.068 * [backup-simplify]: Simplify re into re
9.068 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.068 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.069 * [backup-simplify]: Simplify (+ 1 0) into 1
9.069 * [backup-simplify]: Simplify (sqrt 1) into 1
9.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.071 * [backup-simplify]: Simplify (+ 0 0) into 0
9.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.072 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.072 * [taylor]: Taking taylor expansion of im in re
9.072 * [backup-simplify]: Simplify im into im
9.072 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.072 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.072 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.072 * [taylor]: Taking taylor expansion of re in re
9.072 * [backup-simplify]: Simplify 0 into 0
9.072 * [backup-simplify]: Simplify 1 into 1
9.073 * [backup-simplify]: Simplify (* 1 1) into 1
9.073 * [backup-simplify]: Simplify (/ 1 1) into 1
9.074 * [backup-simplify]: Simplify (+ 0 1) into 1
9.074 * [backup-simplify]: Simplify (sqrt 1) into 1
9.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.076 * [backup-simplify]: Simplify (+ 0 0) into 0
9.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.077 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.077 * [taylor]: Taking taylor expansion of im in re
9.077 * [backup-simplify]: Simplify im into im
9.077 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.077 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.077 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.077 * [taylor]: Taking taylor expansion of re in re
9.077 * [backup-simplify]: Simplify 0 into 0
9.077 * [backup-simplify]: Simplify 1 into 1
9.078 * [backup-simplify]: Simplify (* 1 1) into 1
9.078 * [backup-simplify]: Simplify (/ 1 1) into 1
9.079 * [backup-simplify]: Simplify (+ 0 1) into 1
9.079 * [backup-simplify]: Simplify (sqrt 1) into 1
9.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.081 * [backup-simplify]: Simplify (+ 0 0) into 0
9.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.082 * [taylor]: Taking taylor expansion of 1 in im
9.082 * [backup-simplify]: Simplify 1 into 1
9.082 * [taylor]: Taking taylor expansion of 0 in im
9.082 * [backup-simplify]: Simplify 0 into 0
9.082 * [backup-simplify]: Simplify 1 into 1
9.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.084 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.085 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.085 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.085 * [taylor]: Taking taylor expansion of 1/2 in im
9.085 * [backup-simplify]: Simplify 1/2 into 1/2
9.085 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.085 * [taylor]: Taking taylor expansion of im in im
9.085 * [backup-simplify]: Simplify 0 into 0
9.085 * [backup-simplify]: Simplify 1 into 1
9.086 * [backup-simplify]: Simplify (* 1 1) into 1
9.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.088 * [backup-simplify]: Simplify 0 into 0
9.088 * [backup-simplify]: Simplify 0 into 0
9.088 * [backup-simplify]: Simplify 0 into 0
9.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.091 * [backup-simplify]: Simplify (+ 0 0) into 0
9.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.091 * [taylor]: Taking taylor expansion of 0 in im
9.091 * [backup-simplify]: Simplify 0 into 0
9.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.093 * [backup-simplify]: Simplify 0 into 0
9.094 * [backup-simplify]: Simplify 0 into 0
9.094 * [backup-simplify]: Simplify 0 into 0
9.094 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.094 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.094 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.094 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.094 * [taylor]: Taking taylor expansion of im in im
9.094 * [backup-simplify]: Simplify 0 into 0
9.094 * [backup-simplify]: Simplify 1 into 1
9.095 * [backup-simplify]: Simplify (* 1 1) into 1
9.095 * [backup-simplify]: Simplify (/ 1 1) into 1
9.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.095 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.095 * [taylor]: Taking taylor expansion of re in im
9.095 * [backup-simplify]: Simplify re into re
9.095 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.096 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.096 * [backup-simplify]: Simplify (+ 1 0) into 1
9.097 * [backup-simplify]: Simplify (sqrt 1) into 1
9.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.098 * [backup-simplify]: Simplify (+ 0 0) into 0
9.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.099 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.099 * [taylor]: Taking taylor expansion of im in re
9.099 * [backup-simplify]: Simplify im into im
9.099 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.100 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.100 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.100 * [taylor]: Taking taylor expansion of re in re
9.100 * [backup-simplify]: Simplify 0 into 0
9.100 * [backup-simplify]: Simplify 1 into 1
9.100 * [backup-simplify]: Simplify (* 1 1) into 1
9.101 * [backup-simplify]: Simplify (/ 1 1) into 1
9.101 * [backup-simplify]: Simplify (+ 0 1) into 1
9.101 * [backup-simplify]: Simplify (sqrt 1) into 1
9.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.103 * [backup-simplify]: Simplify (+ 0 0) into 0
9.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.104 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.104 * [taylor]: Taking taylor expansion of im in re
9.104 * [backup-simplify]: Simplify im into im
9.104 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.104 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.104 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.104 * [taylor]: Taking taylor expansion of re in re
9.104 * [backup-simplify]: Simplify 0 into 0
9.104 * [backup-simplify]: Simplify 1 into 1
9.105 * [backup-simplify]: Simplify (* 1 1) into 1
9.105 * [backup-simplify]: Simplify (/ 1 1) into 1
9.106 * [backup-simplify]: Simplify (+ 0 1) into 1
9.106 * [backup-simplify]: Simplify (sqrt 1) into 1
9.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.108 * [backup-simplify]: Simplify (+ 0 0) into 0
9.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.109 * [taylor]: Taking taylor expansion of 1 in im
9.109 * [backup-simplify]: Simplify 1 into 1
9.109 * [taylor]: Taking taylor expansion of 0 in im
9.109 * [backup-simplify]: Simplify 0 into 0
9.109 * [backup-simplify]: Simplify 1 into 1
9.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.111 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.113 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.113 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.113 * [taylor]: Taking taylor expansion of 1/2 in im
9.113 * [backup-simplify]: Simplify 1/2 into 1/2
9.113 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.113 * [taylor]: Taking taylor expansion of im in im
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify 1 into 1
9.113 * [backup-simplify]: Simplify (* 1 1) into 1
9.114 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.117 * [backup-simplify]: Simplify (+ 0 0) into 0
9.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.117 * [taylor]: Taking taylor expansion of 0 in im
9.117 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.119 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1 1)
9.119 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
9.119 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
9.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.119 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.119 * [taylor]: Taking taylor expansion of re in im
9.119 * [backup-simplify]: Simplify re into re
9.119 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.119 * [taylor]: Taking taylor expansion of im in im
9.119 * [backup-simplify]: Simplify 0 into 0
9.119 * [backup-simplify]: Simplify 1 into 1
9.119 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.119 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.119 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.119 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.119 * [backup-simplify]: Simplify (+ 0 0) into 0
9.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.120 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.120 * [taylor]: Taking taylor expansion of re in re
9.120 * [backup-simplify]: Simplify 0 into 0
9.120 * [backup-simplify]: Simplify 1 into 1
9.120 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.120 * [taylor]: Taking taylor expansion of im in re
9.120 * [backup-simplify]: Simplify im into im
9.120 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.120 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.120 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.120 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.120 * [backup-simplify]: Simplify (+ 0 0) into 0
9.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.120 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.120 * [taylor]: Taking taylor expansion of re in re
9.120 * [backup-simplify]: Simplify 0 into 0
9.120 * [backup-simplify]: Simplify 1 into 1
9.120 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.120 * [taylor]: Taking taylor expansion of im in re
9.120 * [backup-simplify]: Simplify im into im
9.120 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.121 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.121 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.121 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.121 * [backup-simplify]: Simplify (+ 0 0) into 0
9.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.121 * [taylor]: Taking taylor expansion of im in im
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 1 into 1
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [taylor]: Taking taylor expansion of 0 in im
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 1 into 1
9.121 * [backup-simplify]: Simplify (* 1 1) into 1
9.122 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.122 * [backup-simplify]: Simplify (+ 1 0) into 1
9.122 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.122 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.123 * [taylor]: Taking taylor expansion of 1/2 in im
9.123 * [backup-simplify]: Simplify 1/2 into 1/2
9.123 * [taylor]: Taking taylor expansion of im in im
9.123 * [backup-simplify]: Simplify 0 into 0
9.123 * [backup-simplify]: Simplify 1 into 1
9.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.123 * [backup-simplify]: Simplify 0 into 0
9.123 * [backup-simplify]: Simplify 0 into 0
9.123 * [backup-simplify]: Simplify 0 into 0
9.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.124 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.125 * [backup-simplify]: Simplify (+ 0 0) into 0
9.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.125 * [taylor]: Taking taylor expansion of 0 in im
9.125 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.125 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.126 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.126 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.126 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.126 * [taylor]: Taking taylor expansion of im in im
9.126 * [backup-simplify]: Simplify 0 into 0
9.126 * [backup-simplify]: Simplify 1 into 1
9.126 * [backup-simplify]: Simplify (* 1 1) into 1
9.126 * [backup-simplify]: Simplify (/ 1 1) into 1
9.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.126 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.126 * [taylor]: Taking taylor expansion of re in im
9.126 * [backup-simplify]: Simplify re into re
9.126 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.126 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.127 * [backup-simplify]: Simplify (+ 1 0) into 1
9.127 * [backup-simplify]: Simplify (sqrt 1) into 1
9.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.128 * [backup-simplify]: Simplify (+ 0 0) into 0
9.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.129 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.129 * [taylor]: Taking taylor expansion of im in re
9.129 * [backup-simplify]: Simplify im into im
9.129 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.129 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.129 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.129 * [taylor]: Taking taylor expansion of re in re
9.129 * [backup-simplify]: Simplify 0 into 0
9.129 * [backup-simplify]: Simplify 1 into 1
9.129 * [backup-simplify]: Simplify (* 1 1) into 1
9.130 * [backup-simplify]: Simplify (/ 1 1) into 1
9.130 * [backup-simplify]: Simplify (+ 0 1) into 1
9.130 * [backup-simplify]: Simplify (sqrt 1) into 1
9.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.131 * [backup-simplify]: Simplify (+ 0 0) into 0
9.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.132 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.132 * [taylor]: Taking taylor expansion of im in re
9.132 * [backup-simplify]: Simplify im into im
9.132 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.132 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.132 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.132 * [taylor]: Taking taylor expansion of re in re
9.132 * [backup-simplify]: Simplify 0 into 0
9.132 * [backup-simplify]: Simplify 1 into 1
9.132 * [backup-simplify]: Simplify (* 1 1) into 1
9.132 * [backup-simplify]: Simplify (/ 1 1) into 1
9.133 * [backup-simplify]: Simplify (+ 0 1) into 1
9.133 * [backup-simplify]: Simplify (sqrt 1) into 1
9.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.134 * [backup-simplify]: Simplify (+ 0 0) into 0
9.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.134 * [taylor]: Taking taylor expansion of 1 in im
9.134 * [backup-simplify]: Simplify 1 into 1
9.134 * [taylor]: Taking taylor expansion of 0 in im
9.134 * [backup-simplify]: Simplify 0 into 0
9.134 * [backup-simplify]: Simplify 1 into 1
9.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.136 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.136 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.136 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.136 * [taylor]: Taking taylor expansion of 1/2 in im
9.136 * [backup-simplify]: Simplify 1/2 into 1/2
9.136 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.137 * [taylor]: Taking taylor expansion of im in im
9.137 * [backup-simplify]: Simplify 0 into 0
9.137 * [backup-simplify]: Simplify 1 into 1
9.137 * [backup-simplify]: Simplify (* 1 1) into 1
9.137 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.138 * [backup-simplify]: Simplify 0 into 0
9.138 * [backup-simplify]: Simplify 0 into 0
9.138 * [backup-simplify]: Simplify 0 into 0
9.138 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.140 * [backup-simplify]: Simplify (+ 0 0) into 0
9.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.140 * [taylor]: Taking taylor expansion of 0 in im
9.140 * [backup-simplify]: Simplify 0 into 0
9.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.141 * [backup-simplify]: Simplify 0 into 0
9.141 * [backup-simplify]: Simplify 0 into 0
9.141 * [backup-simplify]: Simplify 0 into 0
9.141 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.142 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.142 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.142 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.142 * [taylor]: Taking taylor expansion of im in im
9.142 * [backup-simplify]: Simplify 0 into 0
9.142 * [backup-simplify]: Simplify 1 into 1
9.142 * [backup-simplify]: Simplify (* 1 1) into 1
9.142 * [backup-simplify]: Simplify (/ 1 1) into 1
9.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.142 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.142 * [taylor]: Taking taylor expansion of re in im
9.142 * [backup-simplify]: Simplify re into re
9.142 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.143 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.143 * [backup-simplify]: Simplify (+ 1 0) into 1
9.143 * [backup-simplify]: Simplify (sqrt 1) into 1
9.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.144 * [backup-simplify]: Simplify (+ 0 0) into 0
9.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.145 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.145 * [taylor]: Taking taylor expansion of im in re
9.145 * [backup-simplify]: Simplify im into im
9.145 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.145 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.145 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.145 * [taylor]: Taking taylor expansion of re in re
9.145 * [backup-simplify]: Simplify 0 into 0
9.145 * [backup-simplify]: Simplify 1 into 1
9.145 * [backup-simplify]: Simplify (* 1 1) into 1
9.145 * [backup-simplify]: Simplify (/ 1 1) into 1
9.146 * [backup-simplify]: Simplify (+ 0 1) into 1
9.146 * [backup-simplify]: Simplify (sqrt 1) into 1
9.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.147 * [backup-simplify]: Simplify (+ 0 0) into 0
9.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.148 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.148 * [taylor]: Taking taylor expansion of im in re
9.148 * [backup-simplify]: Simplify im into im
9.148 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.148 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.148 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.148 * [taylor]: Taking taylor expansion of re in re
9.148 * [backup-simplify]: Simplify 0 into 0
9.148 * [backup-simplify]: Simplify 1 into 1
9.148 * [backup-simplify]: Simplify (* 1 1) into 1
9.149 * [backup-simplify]: Simplify (/ 1 1) into 1
9.149 * [backup-simplify]: Simplify (+ 0 1) into 1
9.149 * [backup-simplify]: Simplify (sqrt 1) into 1
9.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.150 * [backup-simplify]: Simplify (+ 0 0) into 0
9.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.151 * [taylor]: Taking taylor expansion of 1 in im
9.151 * [backup-simplify]: Simplify 1 into 1
9.151 * [taylor]: Taking taylor expansion of 0 in im
9.151 * [backup-simplify]: Simplify 0 into 0
9.151 * [backup-simplify]: Simplify 1 into 1
9.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.152 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.153 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.153 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.153 * [taylor]: Taking taylor expansion of 1/2 in im
9.153 * [backup-simplify]: Simplify 1/2 into 1/2
9.153 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.153 * [taylor]: Taking taylor expansion of im in im
9.153 * [backup-simplify]: Simplify 0 into 0
9.153 * [backup-simplify]: Simplify 1 into 1
9.153 * [backup-simplify]: Simplify (* 1 1) into 1
9.154 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.155 * [backup-simplify]: Simplify 0 into 0
9.155 * [backup-simplify]: Simplify 0 into 0
9.155 * [backup-simplify]: Simplify 0 into 0
9.155 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.156 * [backup-simplify]: Simplify (+ 0 0) into 0
9.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.157 * [taylor]: Taking taylor expansion of 0 in im
9.157 * [backup-simplify]: Simplify 0 into 0
9.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.158 * [backup-simplify]: Simplify 0 into 0
9.158 * [backup-simplify]: Simplify 0 into 0
9.158 * [backup-simplify]: Simplify 0 into 0
9.158 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.158 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1 1)
9.158 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
9.158 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
9.158 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.158 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.158 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.159 * [taylor]: Taking taylor expansion of re in im
9.159 * [backup-simplify]: Simplify re into re
9.159 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.159 * [taylor]: Taking taylor expansion of im in im
9.159 * [backup-simplify]: Simplify 0 into 0
9.159 * [backup-simplify]: Simplify 1 into 1
9.159 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.159 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.159 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.159 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.159 * [backup-simplify]: Simplify (+ 0 0) into 0
9.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.159 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.159 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.159 * [taylor]: Taking taylor expansion of re in re
9.159 * [backup-simplify]: Simplify 0 into 0
9.159 * [backup-simplify]: Simplify 1 into 1
9.159 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.159 * [taylor]: Taking taylor expansion of im in re
9.159 * [backup-simplify]: Simplify im into im
9.159 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.160 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.160 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.160 * [backup-simplify]: Simplify (+ 0 0) into 0
9.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.160 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.160 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.160 * [taylor]: Taking taylor expansion of re in re
9.160 * [backup-simplify]: Simplify 0 into 0
9.160 * [backup-simplify]: Simplify 1 into 1
9.160 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.160 * [taylor]: Taking taylor expansion of im in re
9.160 * [backup-simplify]: Simplify im into im
9.160 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.160 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.160 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.161 * [backup-simplify]: Simplify (+ 0 0) into 0
9.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.161 * [taylor]: Taking taylor expansion of im in im
9.161 * [backup-simplify]: Simplify 0 into 0
9.161 * [backup-simplify]: Simplify 1 into 1
9.161 * [backup-simplify]: Simplify 0 into 0
9.161 * [taylor]: Taking taylor expansion of 0 in im
9.161 * [backup-simplify]: Simplify 0 into 0
9.161 * [backup-simplify]: Simplify 0 into 0
9.161 * [backup-simplify]: Simplify 1 into 1
9.161 * [backup-simplify]: Simplify (* 1 1) into 1
9.162 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.162 * [backup-simplify]: Simplify (+ 1 0) into 1
9.162 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.162 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.162 * [taylor]: Taking taylor expansion of 1/2 in im
9.162 * [backup-simplify]: Simplify 1/2 into 1/2
9.162 * [taylor]: Taking taylor expansion of im in im
9.162 * [backup-simplify]: Simplify 0 into 0
9.162 * [backup-simplify]: Simplify 1 into 1
9.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.163 * [backup-simplify]: Simplify 0 into 0
9.163 * [backup-simplify]: Simplify 0 into 0
9.163 * [backup-simplify]: Simplify 0 into 0
9.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.164 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.164 * [backup-simplify]: Simplify (+ 0 0) into 0
9.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.165 * [taylor]: Taking taylor expansion of 0 in im
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.165 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.166 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.166 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.166 * [taylor]: Taking taylor expansion of im in im
9.166 * [backup-simplify]: Simplify 0 into 0
9.166 * [backup-simplify]: Simplify 1 into 1
9.166 * [backup-simplify]: Simplify (* 1 1) into 1
9.166 * [backup-simplify]: Simplify (/ 1 1) into 1
9.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.166 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.166 * [taylor]: Taking taylor expansion of re in im
9.166 * [backup-simplify]: Simplify re into re
9.166 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.166 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.167 * [backup-simplify]: Simplify (+ 1 0) into 1
9.167 * [backup-simplify]: Simplify (sqrt 1) into 1
9.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.169 * [backup-simplify]: Simplify (+ 0 0) into 0
9.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.170 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.170 * [taylor]: Taking taylor expansion of im in re
9.170 * [backup-simplify]: Simplify im into im
9.170 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.170 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.170 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.170 * [taylor]: Taking taylor expansion of re in re
9.170 * [backup-simplify]: Simplify 0 into 0
9.170 * [backup-simplify]: Simplify 1 into 1
9.171 * [backup-simplify]: Simplify (* 1 1) into 1
9.171 * [backup-simplify]: Simplify (/ 1 1) into 1
9.172 * [backup-simplify]: Simplify (+ 0 1) into 1
9.172 * [backup-simplify]: Simplify (sqrt 1) into 1
9.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.174 * [backup-simplify]: Simplify (+ 0 0) into 0
9.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.175 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.175 * [taylor]: Taking taylor expansion of im in re
9.175 * [backup-simplify]: Simplify im into im
9.175 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.175 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.175 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.175 * [taylor]: Taking taylor expansion of re in re
9.175 * [backup-simplify]: Simplify 0 into 0
9.175 * [backup-simplify]: Simplify 1 into 1
9.180 * [backup-simplify]: Simplify (* 1 1) into 1
9.181 * [backup-simplify]: Simplify (/ 1 1) into 1
9.181 * [backup-simplify]: Simplify (+ 0 1) into 1
9.182 * [backup-simplify]: Simplify (sqrt 1) into 1
9.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.184 * [backup-simplify]: Simplify (+ 0 0) into 0
9.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.185 * [taylor]: Taking taylor expansion of 1 in im
9.185 * [backup-simplify]: Simplify 1 into 1
9.185 * [taylor]: Taking taylor expansion of 0 in im
9.185 * [backup-simplify]: Simplify 0 into 0
9.185 * [backup-simplify]: Simplify 1 into 1
9.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.187 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.188 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.188 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.188 * [taylor]: Taking taylor expansion of 1/2 in im
9.188 * [backup-simplify]: Simplify 1/2 into 1/2
9.188 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.188 * [taylor]: Taking taylor expansion of im in im
9.188 * [backup-simplify]: Simplify 0 into 0
9.188 * [backup-simplify]: Simplify 1 into 1
9.188 * [backup-simplify]: Simplify (* 1 1) into 1
9.189 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.190 * [backup-simplify]: Simplify 0 into 0
9.190 * [backup-simplify]: Simplify 0 into 0
9.190 * [backup-simplify]: Simplify 0 into 0
9.190 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.191 * [backup-simplify]: Simplify (+ 0 0) into 0
9.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.192 * [taylor]: Taking taylor expansion of 0 in im
9.192 * [backup-simplify]: Simplify 0 into 0
9.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.193 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.193 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.193 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.193 * [taylor]: Taking taylor expansion of im in im
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify 1 into 1
9.194 * [backup-simplify]: Simplify (* 1 1) into 1
9.194 * [backup-simplify]: Simplify (/ 1 1) into 1
9.194 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.194 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.194 * [taylor]: Taking taylor expansion of re in im
9.194 * [backup-simplify]: Simplify re into re
9.194 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.194 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.194 * [backup-simplify]: Simplify (+ 1 0) into 1
9.195 * [backup-simplify]: Simplify (sqrt 1) into 1
9.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.196 * [backup-simplify]: Simplify (+ 0 0) into 0
9.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.196 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.196 * [taylor]: Taking taylor expansion of im in re
9.196 * [backup-simplify]: Simplify im into im
9.196 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.196 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.196 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.196 * [taylor]: Taking taylor expansion of re in re
9.196 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 1 into 1
9.197 * [backup-simplify]: Simplify (* 1 1) into 1
9.197 * [backup-simplify]: Simplify (/ 1 1) into 1
9.197 * [backup-simplify]: Simplify (+ 0 1) into 1
9.197 * [backup-simplify]: Simplify (sqrt 1) into 1
9.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.199 * [backup-simplify]: Simplify (+ 0 0) into 0
9.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.199 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.199 * [taylor]: Taking taylor expansion of im in re
9.199 * [backup-simplify]: Simplify im into im
9.199 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.199 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.199 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.199 * [taylor]: Taking taylor expansion of re in re
9.199 * [backup-simplify]: Simplify 0 into 0
9.199 * [backup-simplify]: Simplify 1 into 1
9.200 * [backup-simplify]: Simplify (* 1 1) into 1
9.200 * [backup-simplify]: Simplify (/ 1 1) into 1
9.200 * [backup-simplify]: Simplify (+ 0 1) into 1
9.200 * [backup-simplify]: Simplify (sqrt 1) into 1
9.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.201 * [backup-simplify]: Simplify (+ 0 0) into 0
9.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.202 * [taylor]: Taking taylor expansion of 1 in im
9.202 * [backup-simplify]: Simplify 1 into 1
9.202 * [taylor]: Taking taylor expansion of 0 in im
9.202 * [backup-simplify]: Simplify 0 into 0
9.202 * [backup-simplify]: Simplify 1 into 1
9.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.203 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.204 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.204 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.204 * [taylor]: Taking taylor expansion of 1/2 in im
9.204 * [backup-simplify]: Simplify 1/2 into 1/2
9.204 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.204 * [taylor]: Taking taylor expansion of im in im
9.204 * [backup-simplify]: Simplify 0 into 0
9.204 * [backup-simplify]: Simplify 1 into 1
9.204 * [backup-simplify]: Simplify (* 1 1) into 1
9.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.206 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.207 * [backup-simplify]: Simplify (+ 0 0) into 0
9.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.208 * [taylor]: Taking taylor expansion of 0 in im
9.208 * [backup-simplify]: Simplify 0 into 0
9.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.209 * [backup-simplify]: Simplify 0 into 0
9.209 * [backup-simplify]: Simplify 0 into 0
9.209 * [backup-simplify]: Simplify 0 into 0
9.209 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.209 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
9.210 * [backup-simplify]: Simplify (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (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))))
9.210 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
9.210 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
9.210 * [taylor]: Taking taylor expansion of re in im
9.210 * [backup-simplify]: Simplify re into re
9.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.210 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.210 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.210 * [taylor]: Taking taylor expansion of re in im
9.210 * [backup-simplify]: Simplify re into re
9.210 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.210 * [taylor]: Taking taylor expansion of im in im
9.210 * [backup-simplify]: Simplify 0 into 0
9.210 * [backup-simplify]: Simplify 1 into 1
9.210 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.210 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.210 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.210 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.211 * [backup-simplify]: Simplify (+ 0 0) into 0
9.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.211 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
9.211 * [taylor]: Taking taylor expansion of re in re
9.211 * [backup-simplify]: Simplify 0 into 0
9.211 * [backup-simplify]: Simplify 1 into 1
9.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.211 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.211 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.211 * [taylor]: Taking taylor expansion of re in re
9.211 * [backup-simplify]: Simplify 0 into 0
9.211 * [backup-simplify]: Simplify 1 into 1
9.211 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.211 * [taylor]: Taking taylor expansion of im in re
9.211 * [backup-simplify]: Simplify im into im
9.211 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.211 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.211 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.211 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.212 * [backup-simplify]: Simplify (+ 0 0) into 0
9.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.212 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
9.212 * [taylor]: Taking taylor expansion of re in re
9.212 * [backup-simplify]: Simplify 0 into 0
9.212 * [backup-simplify]: Simplify 1 into 1
9.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.212 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.212 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.212 * [taylor]: Taking taylor expansion of re in re
9.212 * [backup-simplify]: Simplify 0 into 0
9.212 * [backup-simplify]: Simplify 1 into 1
9.212 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.212 * [taylor]: Taking taylor expansion of im in re
9.212 * [backup-simplify]: Simplify im into im
9.212 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.212 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.212 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.212 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.212 * [backup-simplify]: Simplify (+ 0 0) into 0
9.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.213 * [backup-simplify]: Simplify (+ 0 im) into im
9.213 * [taylor]: Taking taylor expansion of im in im
9.213 * [backup-simplify]: Simplify 0 into 0
9.213 * [backup-simplify]: Simplify 1 into 1
9.213 * [backup-simplify]: Simplify 0 into 0
9.213 * [backup-simplify]: Simplify (+ 1 0) into 1
9.213 * [taylor]: Taking taylor expansion of 1 in im
9.213 * [backup-simplify]: Simplify 1 into 1
9.213 * [backup-simplify]: Simplify 1 into 1
9.213 * [backup-simplify]: Simplify 1 into 1
9.213 * [backup-simplify]: Simplify (* 1 1) into 1
9.214 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.214 * [backup-simplify]: Simplify (+ 1 0) into 1
9.214 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.214 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
9.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
9.215 * [taylor]: Taking taylor expansion of 1/2 in im
9.215 * [backup-simplify]: Simplify 1/2 into 1/2
9.215 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.215 * [taylor]: Taking taylor expansion of im in im
9.215 * [backup-simplify]: Simplify 0 into 0
9.215 * [backup-simplify]: Simplify 1 into 1
9.215 * [backup-simplify]: Simplify (/ 1 1) into 1
9.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.216 * [backup-simplify]: Simplify 0 into 0
9.216 * [backup-simplify]: Simplify 0 into 0
9.216 * [backup-simplify]: Simplify 0 into 0
9.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.217 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.217 * [backup-simplify]: Simplify (+ 0 0) into 0
9.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.217 * [backup-simplify]: Simplify (+ 0 0) into 0
9.217 * [taylor]: Taking taylor expansion of 0 in im
9.217 * [backup-simplify]: Simplify 0 into 0
9.217 * [backup-simplify]: Simplify 0 into 0
9.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.219 * [backup-simplify]: Simplify 0 into 0
9.219 * [backup-simplify]: Simplify 0 into 0
9.219 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
9.220 * [backup-simplify]: Simplify (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3)) (sqrt (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)))))
9.220 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
9.220 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
9.220 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.220 * [taylor]: Taking taylor expansion of re in im
9.220 * [backup-simplify]: Simplify re into re
9.220 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.220 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.220 * [taylor]: Taking taylor expansion of im in im
9.220 * [backup-simplify]: Simplify 0 into 0
9.220 * [backup-simplify]: Simplify 1 into 1
9.220 * [backup-simplify]: Simplify (* 1 1) into 1
9.220 * [backup-simplify]: Simplify (/ 1 1) into 1
9.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.220 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.220 * [taylor]: Taking taylor expansion of re in im
9.220 * [backup-simplify]: Simplify re into re
9.220 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.221 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.221 * [backup-simplify]: Simplify (+ 1 0) into 1
9.221 * [backup-simplify]: Simplify (sqrt 1) into 1
9.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.222 * [backup-simplify]: Simplify (+ 0 0) into 0
9.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.223 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.223 * [taylor]: Taking taylor expansion of re in re
9.223 * [backup-simplify]: Simplify 0 into 0
9.223 * [backup-simplify]: Simplify 1 into 1
9.223 * [backup-simplify]: Simplify (/ 1 1) into 1
9.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.223 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.223 * [taylor]: Taking taylor expansion of im in re
9.223 * [backup-simplify]: Simplify im into im
9.223 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.223 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.223 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.223 * [taylor]: Taking taylor expansion of re in re
9.223 * [backup-simplify]: Simplify 0 into 0
9.223 * [backup-simplify]: Simplify 1 into 1
9.223 * [backup-simplify]: Simplify (* 1 1) into 1
9.224 * [backup-simplify]: Simplify (/ 1 1) into 1
9.224 * [backup-simplify]: Simplify (+ 0 1) into 1
9.224 * [backup-simplify]: Simplify (sqrt 1) into 1
9.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.225 * [backup-simplify]: Simplify (+ 0 0) into 0
9.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.226 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.226 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.226 * [taylor]: Taking taylor expansion of re in re
9.226 * [backup-simplify]: Simplify 0 into 0
9.226 * [backup-simplify]: Simplify 1 into 1
9.226 * [backup-simplify]: Simplify (/ 1 1) into 1
9.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.226 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.226 * [taylor]: Taking taylor expansion of im in re
9.226 * [backup-simplify]: Simplify im into im
9.226 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.226 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.226 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.226 * [taylor]: Taking taylor expansion of re in re
9.227 * [backup-simplify]: Simplify 0 into 0
9.227 * [backup-simplify]: Simplify 1 into 1
9.227 * [backup-simplify]: Simplify (* 1 1) into 1
9.227 * [backup-simplify]: Simplify (/ 1 1) into 1
9.227 * [backup-simplify]: Simplify (+ 0 1) into 1
9.228 * [backup-simplify]: Simplify (sqrt 1) into 1
9.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.229 * [backup-simplify]: Simplify (+ 0 0) into 0
9.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.229 * [backup-simplify]: Simplify (+ 1 1) into 2
9.229 * [taylor]: Taking taylor expansion of 2 in im
9.229 * [backup-simplify]: Simplify 2 into 2
9.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.230 * [backup-simplify]: Simplify (+ 0 0) into 0
9.230 * [taylor]: Taking taylor expansion of 0 in im
9.230 * [backup-simplify]: Simplify 0 into 0
9.230 * [backup-simplify]: Simplify 2 into 2
9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.232 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.233 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.233 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
9.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
9.233 * [taylor]: Taking taylor expansion of 1/2 in im
9.233 * [backup-simplify]: Simplify 1/2 into 1/2
9.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.233 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.233 * [taylor]: Taking taylor expansion of im in im
9.233 * [backup-simplify]: Simplify 0 into 0
9.233 * [backup-simplify]: Simplify 1 into 1
9.233 * [backup-simplify]: Simplify (* 1 1) into 1
9.234 * [backup-simplify]: Simplify (/ 1 1) into 1
9.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.235 * [backup-simplify]: Simplify 0 into 0
9.235 * [backup-simplify]: Simplify 0 into 0
9.235 * [backup-simplify]: Simplify 0 into 0
9.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.236 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.237 * [backup-simplify]: Simplify (+ 0 0) into 0
9.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.238 * [backup-simplify]: Simplify (+ 0 0) into 0
9.238 * [taylor]: Taking taylor expansion of 0 in im
9.238 * [backup-simplify]: Simplify 0 into 0
9.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.240 * [backup-simplify]: Simplify 0 into 0
9.240 * [backup-simplify]: Simplify 0 into 0
9.240 * [backup-simplify]: Simplify 0 into 0
9.240 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
9.241 * [backup-simplify]: Simplify (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3)) (sqrt (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))
9.241 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
9.241 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
9.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.241 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.241 * [taylor]: Taking taylor expansion of im in im
9.241 * [backup-simplify]: Simplify 0 into 0
9.241 * [backup-simplify]: Simplify 1 into 1
9.241 * [backup-simplify]: Simplify (* 1 1) into 1
9.242 * [backup-simplify]: Simplify (/ 1 1) into 1
9.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.242 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.242 * [taylor]: Taking taylor expansion of re in im
9.242 * [backup-simplify]: Simplify re into re
9.242 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.242 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.242 * [backup-simplify]: Simplify (+ 1 0) into 1
9.242 * [backup-simplify]: Simplify (sqrt 1) into 1
9.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.244 * [backup-simplify]: Simplify (+ 0 0) into 0
9.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.245 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.245 * [taylor]: Taking taylor expansion of re in im
9.245 * [backup-simplify]: Simplify re into re
9.245 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.245 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
9.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.245 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.245 * [taylor]: Taking taylor expansion of im in re
9.245 * [backup-simplify]: Simplify im into im
9.245 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.245 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.245 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.245 * [taylor]: Taking taylor expansion of re in re
9.245 * [backup-simplify]: Simplify 0 into 0
9.245 * [backup-simplify]: Simplify 1 into 1
9.246 * [backup-simplify]: Simplify (* 1 1) into 1
9.246 * [backup-simplify]: Simplify (/ 1 1) into 1
9.247 * [backup-simplify]: Simplify (+ 0 1) into 1
9.247 * [backup-simplify]: Simplify (sqrt 1) into 1
9.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.249 * [backup-simplify]: Simplify (+ 0 0) into 0
9.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.250 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.250 * [taylor]: Taking taylor expansion of re in re
9.250 * [backup-simplify]: Simplify 0 into 0
9.250 * [backup-simplify]: Simplify 1 into 1
9.250 * [backup-simplify]: Simplify (/ 1 1) into 1
9.250 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
9.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.250 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.250 * [taylor]: Taking taylor expansion of im in re
9.250 * [backup-simplify]: Simplify im into im
9.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.251 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.251 * [taylor]: Taking taylor expansion of re in re
9.251 * [backup-simplify]: Simplify 0 into 0
9.251 * [backup-simplify]: Simplify 1 into 1
9.251 * [backup-simplify]: Simplify (* 1 1) into 1
9.251 * [backup-simplify]: Simplify (/ 1 1) into 1
9.252 * [backup-simplify]: Simplify (+ 0 1) into 1
9.252 * [backup-simplify]: Simplify (sqrt 1) into 1
9.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.254 * [backup-simplify]: Simplify (+ 0 0) into 0
9.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.255 * [taylor]: Taking taylor expansion of re in re
9.255 * [backup-simplify]: Simplify 0 into 0
9.255 * [backup-simplify]: Simplify 1 into 1
9.255 * [backup-simplify]: Simplify (/ 1 1) into 1
9.256 * [backup-simplify]: Simplify (- 1) into -1
9.256 * [backup-simplify]: Simplify (+ 1 -1) into 0
9.256 * [taylor]: Taking taylor expansion of 0 in im
9.256 * [backup-simplify]: Simplify 0 into 0
9.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.258 * [backup-simplify]: Simplify (- 0) into 0
9.258 * [backup-simplify]: Simplify (+ 0 0) into 0
9.258 * [taylor]: Taking taylor expansion of 0 in im
9.258 * [backup-simplify]: Simplify 0 into 0
9.258 * [backup-simplify]: Simplify 0 into 0
9.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.260 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.262 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.263 * [backup-simplify]: Simplify (- 0) into 0
9.263 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
9.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
9.263 * [taylor]: Taking taylor expansion of 1/2 in im
9.263 * [backup-simplify]: Simplify 1/2 into 1/2
9.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.263 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.263 * [taylor]: Taking taylor expansion of im in im
9.263 * [backup-simplify]: Simplify 0 into 0
9.263 * [backup-simplify]: Simplify 1 into 1
9.264 * [backup-simplify]: Simplify (* 1 1) into 1
9.264 * [backup-simplify]: Simplify (/ 1 1) into 1
9.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.266 * [backup-simplify]: Simplify 0 into 0
9.266 * [backup-simplify]: Simplify 0 into 0
9.266 * [backup-simplify]: Simplify 0 into 0
9.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.269 * [backup-simplify]: Simplify (+ 0 0) into 0
9.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.271 * [backup-simplify]: Simplify (- 0) into 0
9.272 * [backup-simplify]: Simplify (+ 0 0) into 0
9.272 * [taylor]: Taking taylor expansion of 0 in im
9.272 * [backup-simplify]: Simplify 0 into 0
9.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.275 * [backup-simplify]: Simplify 0 into 0
9.275 * [backup-simplify]: Simplify 0 into 0
9.275 * [backup-simplify]: Simplify 0 into 0
9.275 * * * [progress]: simplifying candidates
9.277 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re))
  (log (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (exp (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (cbrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))
  (cbrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (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 (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 (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 (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (+ (pow (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3))
  (+ (* (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (- (* re re) (* (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (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 (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re))
  (- (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
9.280 * * [simplify]: Extracting # 0 : cost  0
9.281 * * [simplify]: Extracting # 1 : cost  0
9.281 * * [simplify]: Extracting # 2 : cost  0
9.281 * * [simplify]: Extracting # 3 : cost  0
9.281 * * [simplify]: Extracting # 4 : cost  0
9.281 * * [simplify]: Extracting # 5 : cost  0
9.281 * * [simplify]: Extracting # 6 : cost  0
9.282 * * [simplify]: Extracting # 7 : cost  0
9.282 * * [simplify]: Extracting # 8 : cost  0
9.282 * * [simplify]: Extracting # 9 : cost  0
9.282 * * [simplify]: iteration  0 :  66  enodes  (cost  1385 )
9.314 * * [simplify]: Extracting # 0 : cost  0
9.315 * * [simplify]: Extracting # 1 : cost  0
9.315 * * [simplify]: Extracting # 2 : cost  0
9.316 * * [simplify]: Extracting # 3 : cost  0
9.316 * * [simplify]: Extracting # 4 : cost  0
9.316 * * [simplify]: iteration  1 :  172  enodes  (cost  1019 )
9.412 * * [simplify]: Extracting # 0 : cost  0
9.413 * * [simplify]: Extracting # 1 : cost  0
9.414 * * [simplify]: Extracting # 2 : cost  0
9.415 * * [simplify]: Extracting # 3 : cost  0
9.416 * * [simplify]: Extracting # 4 : cost  0
9.417 * * [simplify]: Extracting # 5 : cost  0
9.419 * * [simplify]: iteration  2 :  533  enodes  (cost  739 )
10.194 * * [simplify]: Extracting # 0 : cost  0
10.196 * * [simplify]: Extracting # 1 : cost  0
10.198 * * [simplify]: Extracting # 2 : cost  0
10.201 * * [simplify]: Extracting # 3 : cost  0
10.204 * * [simplify]: Extracting # 4 : cost  0
10.208 * * [simplify]: Extracting # 5 : cost  0
10.212 * * [simplify]: iteration  3 :  1846  enodes  (cost  655 )
11.565 * * [simplify]: Extracting # 0 : cost  0
11.576 * * [simplify]: Extracting # 1 : cost  0
11.589 * * [simplify]: Extracting # 2 : cost  0
11.600 * * [simplify]: Extracting # 3 : cost  0
11.611 * * [simplify]: Extracting # 4 : cost  0
11.624 * * [simplify]: iteration done:  5001  enodes  (cost  655 )
11.624 * [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))))
  (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 (sqrt (+ (* re re) (* im im)))) re) (+ (* re re) (* im im)))
  (- (+ (* re re) (* im im)) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
11.626 * * * [progress]: adding candidates to table
12.165 * [progress]: [Phase 3 of 3] Extracting.
12.165 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (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 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.170 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re)
12.171 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (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 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.281 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (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 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.346 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (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 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.405 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
12.439 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (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 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.524 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
12.575 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (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 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.648 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
12.705 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (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 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.793 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
12.817 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (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 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.877 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (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 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.954 * * * [regime]: Found split indices: #<option (#s(si 1 112) #s(si 4 136) #s(si 6 222) #s(si 8 255))>
12.955 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (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 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
13.141 * [regimes]: Found splitpoints: (#s(sp 1 re -3.814628739965902e-263) #s(sp 4 re 2.3167926112470144e-257) #s(sp 6 re 8.343480543279894e+103) #s(sp 8 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (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 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
13.142 * [simplify]: Simplifying:
  (if (<= re -3.814628739965902e-263) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 2.3167926112470144e-257) (* 0.5 (sqrt (* 2.0 (+ re im)))) (if (<= re 8.343480543279894e+103) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re)))))))
13.142 * * [simplify]: Extracting # 0 : cost  0
13.142 * * [simplify]: Extracting # 1 : cost  0
13.142 * * [simplify]: Extracting # 2 : cost  0
13.142 * * [simplify]: Extracting # 3 : cost  0
13.142 * * [simplify]: Extracting # 4 : cost  0
13.143 * * [simplify]: Extracting # 5 : cost  0
13.143 * * [simplify]: Extracting # 6 : cost  0
13.143 * * [simplify]: Extracting # 7 : cost  0
13.143 * * [simplify]: Extracting # 8 : cost  0
13.143 * * [simplify]: Extracting # 9 : cost  0
13.143 * * [simplify]: Extracting # 10 : cost  0
13.143 * * [simplify]: Extracting # 11 : cost  0
13.143 * * [simplify]: Extracting # 12 : cost  0
13.143 * * [simplify]: Extracting # 13 : cost  0
13.143 * * [simplify]: iteration  0 :  35  enodes  (cost  63 )
13.147 * * [simplify]: Extracting # 0 : cost  0
13.147 * * [simplify]: iteration  1 :  46  enodes  (cost  63 )
13.150 * * [simplify]: Extracting # 0 : cost  0
13.151 * * [simplify]: iteration done:  46  enodes  (cost  63 )
13.151 * [simplify]: Simplified to:
  (if (<= re -3.814628739965902e-263) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 2.3167926112470144e-257) (* 0.5 (sqrt (* 2.0 (+ re im)))) (if (<= re 8.343480543279894e+103) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re)))))))
16.127 * [regime-testing]: Baseline error score: 38.324570973026034
16.129 * [regime-testing]: Oracle error score: 17.099599830433924
16.137 * [regime-testing]: End program error score: 26.273343014876204
16.212 * [regime-testing]: Target error score: 33.40456184520863