24.744 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.032 * * * [progress]: [2/2] Setting up program.
0.036 * [progress]: [Phase 2 of 3] Improving.
0.036 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.036 * * [simplify]: iteration 0: 12 enodes
0.038 * * [simplify]: iteration 1: 22 enodes
0.040 * * [simplify]: iteration 2: 24 enodes
0.043 * * [simplify]: iteration complete: 24 enodes
0.043 * * [simplify]: Extracting #0: cost 1 inf + 0
0.043 * * [simplify]: Extracting #1: cost 3 inf + 0
0.043 * * [simplify]: Extracting #2: cost 3 inf + 1
0.043 * * [simplify]: Extracting #3: cost 7 inf + 1
0.043 * * [simplify]: Extracting #4: cost 8 inf + 2
0.043 * * [simplify]: Extracting #5: cost 8 inf + 3
0.043 * * [simplify]: Extracting #6: cost 9 inf + 45
0.043 * * [simplify]: Extracting #7: cost 9 inf + 86
0.043 * * [simplify]: Extracting #8: cost 7 inf + 128
0.043 * * [simplify]: Extracting #9: cost 5 inf + 412
0.043 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.044 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.044 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.045 * * [progress]: iteration 1 / 4
0.045 * * * [progress]: picking best candidate
0.049 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.049 * * * [progress]: localizing error
0.096 * * * [progress]: generating rewritten candidates
0.096 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.109 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.157 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.265 * * * [progress]: generating series expansions
0.265 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.265 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.265 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.265 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.265 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.265 * [taylor]: Taking taylor expansion of im in im
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.265 * [taylor]: Taking taylor expansion of re in im
0.265 * [backup-simplify]: Simplify re into re
0.265 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.265 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.266 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.266 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.266 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.266 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.266 * [taylor]: Taking taylor expansion of im in re
0.266 * [backup-simplify]: Simplify im into im
0.266 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.266 * [taylor]: Taking taylor expansion of re in re
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.267 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.267 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.267 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.267 * [taylor]: Taking taylor expansion of re in re
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.267 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.267 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.268 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.268 * [taylor]: Taking taylor expansion of im in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [taylor]: Taking taylor expansion of 0 in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.269 * [backup-simplify]: Simplify (* 1 1) into 1
0.269 * [backup-simplify]: Simplify (+ 0 1) into 1
0.269 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.269 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.269 * [taylor]: Taking taylor expansion of 1/2 in im
0.269 * [backup-simplify]: Simplify 1/2 into 1/2
0.269 * [taylor]: Taking taylor expansion of im in im
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.272 * [taylor]: Taking taylor expansion of 0 in im
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.272 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.272 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.273 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.273 * [taylor]: Taking taylor expansion of re in im
0.273 * [backup-simplify]: Simplify re into re
0.273 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.273 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.273 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.273 * [taylor]: Taking taylor expansion of im in im
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (* 1 1) into 1
0.273 * [backup-simplify]: Simplify (/ 1 1) into 1
0.274 * [backup-simplify]: Simplify (+ 0 1) into 1
0.274 * [backup-simplify]: Simplify (sqrt 1) into 1
0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.276 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.276 * [taylor]: Taking taylor expansion of re in re
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (* 1 1) into 1
0.277 * [backup-simplify]: Simplify (/ 1 1) into 1
0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.277 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.277 * [taylor]: Taking taylor expansion of im in re
0.277 * [backup-simplify]: Simplify im into im
0.277 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.277 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.278 * [backup-simplify]: Simplify (+ 1 0) into 1
0.278 * [backup-simplify]: Simplify (sqrt 1) into 1
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.281 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.281 * [taylor]: Taking taylor expansion of re in re
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (* 1 1) into 1
0.282 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.282 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.282 * [taylor]: Taking taylor expansion of im in re
0.282 * [backup-simplify]: Simplify im into im
0.282 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.282 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.283 * [backup-simplify]: Simplify (+ 1 0) into 1
0.283 * [backup-simplify]: Simplify (sqrt 1) into 1
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.286 * [taylor]: Taking taylor expansion of 1 in im
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [taylor]: Taking taylor expansion of 0 in im
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.290 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.290 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.290 * [taylor]: Taking taylor expansion of 1/2 in im
0.290 * [backup-simplify]: Simplify 1/2 into 1/2
0.290 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.290 * [taylor]: Taking taylor expansion of im in im
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.291 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.291 * [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
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.297 * [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
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.301 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.301 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.301 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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 (* 1 1) into 1
0.302 * [backup-simplify]: Simplify (/ 1 1) into 1
0.302 * [backup-simplify]: Simplify (+ 0 1) into 1
0.303 * [backup-simplify]: Simplify (sqrt 1) into 1
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.305 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.305 * [taylor]: Taking taylor expansion of re in re
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.306 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.306 * [taylor]: Taking taylor expansion of im in re
0.306 * [backup-simplify]: Simplify im into im
0.306 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.307 * [backup-simplify]: Simplify (+ 1 0) into 1
0.307 * [backup-simplify]: Simplify (sqrt 1) into 1
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.309 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.309 * [taylor]: Taking taylor expansion of re in re
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (* 1 1) into 1
0.309 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.309 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.309 * [taylor]: Taking taylor expansion of im in re
0.309 * [backup-simplify]: Simplify im into im
0.309 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.309 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.310 * [backup-simplify]: Simplify (+ 1 0) into 1
0.310 * [backup-simplify]: Simplify (sqrt 1) into 1
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.311 * [taylor]: Taking taylor expansion of 1 in im
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [taylor]: Taking taylor expansion of 0 in im
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.313 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.313 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.313 * [taylor]: Taking taylor expansion of 1/2 in im
0.313 * [backup-simplify]: Simplify 1/2 into 1/2
0.313 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.313 * [taylor]: Taking taylor expansion of im in im
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (* 1 1) into 1
0.314 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.317 * [taylor]: Taking taylor expansion of 0 in im
0.317 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.318 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.318 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.319 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.319 * [taylor]: Taking taylor expansion of re in im
0.319 * [backup-simplify]: Simplify re into re
0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.319 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.319 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.319 * [taylor]: Taking taylor expansion of im in im
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.319 * [taylor]: Taking taylor expansion of re in im
0.319 * [backup-simplify]: Simplify re into re
0.319 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.319 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.319 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.319 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.319 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.319 * [taylor]: Taking taylor expansion of re in re
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.319 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.319 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.319 * [taylor]: Taking taylor expansion of im in re
0.320 * [backup-simplify]: Simplify im into im
0.320 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.320 * [taylor]: Taking taylor expansion of re in re
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.320 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.320 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.320 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.320 * [taylor]: Taking taylor expansion of re in re
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.320 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.320 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.320 * [taylor]: Taking taylor expansion of im in re
0.320 * [backup-simplify]: Simplify im into im
0.320 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.320 * [taylor]: Taking taylor expansion of re in re
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.321 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.321 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.321 * [backup-simplify]: Simplify (+ 0 im) into im
0.321 * [taylor]: Taking taylor expansion of im in im
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (+ 1 0) into 1
0.322 * [taylor]: Taking taylor expansion of 1 in im
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.322 * [backup-simplify]: Simplify (* 1 1) into 1
0.322 * [backup-simplify]: Simplify (+ 0 1) into 1
0.323 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.323 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.323 * [taylor]: Taking taylor expansion of 1/2 in im
0.323 * [backup-simplify]: Simplify 1/2 into 1/2
0.323 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.323 * [taylor]: Taking taylor expansion of im in im
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.325 * [backup-simplify]: Simplify (+ 0 0) into 0
0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [taylor]: Taking taylor expansion of 0 in im
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.327 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
0.327 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.327 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.327 * [taylor]: Taking taylor expansion of re in im
0.327 * [backup-simplify]: Simplify re into re
0.327 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.327 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.327 * [taylor]: Taking taylor expansion of re in im
0.327 * [backup-simplify]: Simplify re into re
0.327 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.328 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.328 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.328 * [taylor]: Taking taylor expansion of im in im
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [backup-simplify]: Simplify (+ 0 1) into 1
0.329 * [backup-simplify]: Simplify (sqrt 1) into 1
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.330 * [taylor]: Taking taylor expansion of re in re
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.331 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.331 * [taylor]: Taking taylor expansion of re in re
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (* 1 1) into 1
0.331 * [backup-simplify]: Simplify (/ 1 1) into 1
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.331 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.331 * [taylor]: Taking taylor expansion of im in re
0.331 * [backup-simplify]: Simplify im into im
0.331 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.332 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.332 * [backup-simplify]: Simplify (+ 1 0) into 1
0.332 * [backup-simplify]: Simplify (sqrt 1) into 1
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.334 * [taylor]: Taking taylor expansion of re in re
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.334 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.334 * [taylor]: Taking taylor expansion of re in re
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (* 1 1) into 1
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.335 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.335 * [taylor]: Taking taylor expansion of im in re
0.335 * [backup-simplify]: Simplify im into im
0.335 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.335 * [backup-simplify]: Simplify (+ 1 0) into 1
0.336 * [backup-simplify]: Simplify (sqrt 1) into 1
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.339 * [backup-simplify]: Simplify (+ 1 1) into 2
0.339 * [taylor]: Taking taylor expansion of 2 in im
0.339 * [backup-simplify]: Simplify 2 into 2
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [taylor]: Taking taylor expansion of 0 in im
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 2 into 2
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.345 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.345 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.345 * [taylor]: Taking taylor expansion of 1/2 in im
0.345 * [backup-simplify]: Simplify 1/2 into 1/2
0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.345 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.345 * [taylor]: Taking taylor expansion of im in im
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (* 1 1) into 1
0.346 * [backup-simplify]: Simplify (/ 1 1) into 1
0.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.352 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [taylor]: Taking taylor expansion of 0 in im
0.353 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [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 re 2)) (/ 1 (pow im 2)))) (/ 1 re))
0.357 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.357 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
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))
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.357 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.357 * [taylor]: Taking taylor expansion of im in im
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (* 1 1) into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [backup-simplify]: Simplify (+ 0 1) into 1
0.359 * [backup-simplify]: Simplify (sqrt 1) into 1
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.361 * [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
0.362 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.362 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.362 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.362 * [taylor]: Taking taylor expansion of re in re
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (* 1 1) into 1
0.363 * [backup-simplify]: Simplify (/ 1 1) into 1
0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.363 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.363 * [taylor]: Taking taylor expansion of im in re
0.363 * [backup-simplify]: Simplify im into im
0.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.363 * [backup-simplify]: Simplify (+ 1 0) into 1
0.364 * [backup-simplify]: Simplify (sqrt 1) into 1
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.367 * [taylor]: Taking taylor expansion of re in re
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.367 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
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
0.368 * [backup-simplify]: Simplify (* 1 1) into 1
0.368 * [backup-simplify]: Simplify (/ 1 1) into 1
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.368 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.368 * [taylor]: Taking taylor expansion of im in re
0.368 * [backup-simplify]: Simplify im into im
0.368 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.368 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.369 * [backup-simplify]: Simplify (+ 1 0) into 1
0.369 * [backup-simplify]: Simplify (sqrt 1) into 1
0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.372 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.372 * [taylor]: Taking taylor expansion of re in re
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [backup-simplify]: Simplify (- 1) into -1
0.373 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.373 * [taylor]: Taking taylor expansion of 0 in im
0.373 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (- 0) into 0
0.375 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [taylor]: Taking taylor expansion of 0 in im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.378 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (- 0) into 0
0.380 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.380 * [taylor]: Taking taylor expansion of 1/2 in im
0.380 * [backup-simplify]: Simplify 1/2 into 1/2
0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.380 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.380 * [taylor]: Taking taylor expansion of im in im
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (* 1 1) into 1
0.381 * [backup-simplify]: Simplify (/ 1 1) into 1
0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (- 0) into 0
0.389 * [backup-simplify]: Simplify (+ 0 0) into 0
0.389 * [taylor]: Taking taylor expansion of 0 in im
0.389 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.393 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.393 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.393 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.393 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.393 * [taylor]: Taking taylor expansion of im in im
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.393 * [taylor]: Taking taylor expansion of re in im
0.393 * [backup-simplify]: Simplify re into re
0.393 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.393 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.393 * [taylor]: Taking taylor expansion of im in re
0.393 * [backup-simplify]: Simplify im into im
0.393 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.393 * [taylor]: Taking taylor expansion of re in re
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.393 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.393 * [taylor]: Taking taylor expansion of im in re
0.393 * [backup-simplify]: Simplify im into im
0.393 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.393 * [taylor]: Taking taylor expansion of re in re
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.394 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.394 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.394 * [taylor]: Taking taylor expansion of im in im
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.394 * [backup-simplify]: Simplify (+ 0 0) into 0
0.394 * [taylor]: Taking taylor expansion of 0 in im
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.395 * [backup-simplify]: Simplify (* 1 1) into 1
0.396 * [backup-simplify]: Simplify (+ 0 1) into 1
0.396 * [taylor]: Taking taylor expansion of 1 in im
0.396 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify (* 1 1) into 1
0.396 * [backup-simplify]: Simplify 1 into 1
0.397 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.399 * [backup-simplify]: Simplify (+ 0 0) into 0
0.399 * [taylor]: Taking taylor expansion of 0 in im
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.402 * [taylor]: Taking taylor expansion of 0 in im
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.403 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.403 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.403 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.403 * [taylor]: Taking taylor expansion of re in im
0.403 * [backup-simplify]: Simplify re into re
0.403 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.403 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.404 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.404 * [taylor]: Taking taylor expansion of im in im
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.405 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.405 * [taylor]: Taking taylor expansion of re in re
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.405 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.405 * [taylor]: Taking taylor expansion of im in re
0.406 * [backup-simplify]: Simplify im into im
0.406 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.406 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.406 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.406 * [taylor]: Taking taylor expansion of re in re
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (* 1 1) into 1
0.407 * [backup-simplify]: Simplify (/ 1 1) into 1
0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.407 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.407 * [taylor]: Taking taylor expansion of im in re
0.407 * [backup-simplify]: Simplify im into im
0.407 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.407 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.408 * [backup-simplify]: Simplify (+ 1 0) into 1
0.408 * [taylor]: Taking taylor expansion of 1 in im
0.408 * [backup-simplify]: Simplify 1 into 1
0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (+ 0 0) into 0
0.410 * [taylor]: Taking taylor expansion of 0 in im
0.410 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.412 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.412 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.412 * [taylor]: Taking taylor expansion of im in im
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (* 1 1) into 1
0.413 * [backup-simplify]: Simplify (/ 1 1) into 1
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify 1 into 1
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [taylor]: Taking taylor expansion of 0 in im
0.416 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.421 * [backup-simplify]: Simplify (+ 0 0) into 0
0.421 * [taylor]: Taking taylor expansion of 0 in im
0.421 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.424 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.424 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.424 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.424 * [taylor]: Taking taylor expansion of re in im
0.424 * [backup-simplify]: Simplify re into re
0.424 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.424 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.425 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.425 * [taylor]: Taking taylor expansion of im in im
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.425 * [backup-simplify]: Simplify (/ 1 1) into 1
0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.425 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.426 * [taylor]: Taking taylor expansion of re in re
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (* 1 1) into 1
0.426 * [backup-simplify]: Simplify (/ 1 1) into 1
0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.426 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.426 * [taylor]: Taking taylor expansion of im in re
0.426 * [backup-simplify]: Simplify im into im
0.427 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.427 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.427 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.427 * [taylor]: Taking taylor expansion of re in re
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify 1 into 1
0.427 * [backup-simplify]: Simplify (* 1 1) into 1
0.428 * [backup-simplify]: Simplify (/ 1 1) into 1
0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.428 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.428 * [taylor]: Taking taylor expansion of im in re
0.428 * [backup-simplify]: Simplify im into im
0.428 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.428 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.429 * [backup-simplify]: Simplify (+ 1 0) into 1
0.429 * [taylor]: Taking taylor expansion of 1 in im
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.433 * [backup-simplify]: Simplify (+ 0 0) into 0
0.433 * [taylor]: Taking taylor expansion of 0 in im
0.433 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.436 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.436 * [taylor]: Taking taylor expansion of im in im
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 1 into 1
0.436 * [backup-simplify]: Simplify (* 1 1) into 1
0.436 * [backup-simplify]: Simplify (/ 1 1) into 1
0.436 * [backup-simplify]: Simplify 1 into 1
0.437 * [backup-simplify]: Simplify 1 into 1
0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.439 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.439 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [taylor]: Taking taylor expansion of 0 in im
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.445 * [backup-simplify]: Simplify (+ 0 0) into 0
0.445 * [taylor]: Taking taylor expansion of 0 in im
0.445 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.448 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) into (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2)))))
0.448 * [approximate]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (re im) around 0
0.448 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.448 * [taylor]: Taking taylor expansion of 2.0 in im
0.448 * [backup-simplify]: Simplify 2.0 into 2.0
0.448 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.448 * [taylor]: Taking taylor expansion of re in im
0.448 * [backup-simplify]: Simplify re into re
0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.448 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.448 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.448 * [taylor]: Taking taylor expansion of im in im
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.448 * [taylor]: Taking taylor expansion of re in im
0.448 * [backup-simplify]: Simplify re into re
0.449 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.449 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.449 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.449 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.449 * [backup-simplify]: Simplify (+ 0 0) into 0
0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.450 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.450 * [taylor]: Taking taylor expansion of 2.0 in re
0.450 * [backup-simplify]: Simplify 2.0 into 2.0
0.450 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.450 * [taylor]: Taking taylor expansion of re in re
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 1 into 1
0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.450 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.450 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.450 * [taylor]: Taking taylor expansion of im in re
0.450 * [backup-simplify]: Simplify im into im
0.450 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.450 * [taylor]: Taking taylor expansion of re in re
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 1 into 1
0.450 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.450 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.451 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.451 * [backup-simplify]: Simplify (+ 0 0) into 0
0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.451 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.451 * [taylor]: Taking taylor expansion of 2.0 in re
0.451 * [backup-simplify]: Simplify 2.0 into 2.0
0.451 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.451 * [taylor]: Taking taylor expansion of re in re
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.452 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.452 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.452 * [taylor]: Taking taylor expansion of im in re
0.452 * [backup-simplify]: Simplify im into im
0.452 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.452 * [taylor]: Taking taylor expansion of re in re
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.452 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.452 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.452 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.453 * [backup-simplify]: Simplify (+ 0 0) into 0
0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.453 * [backup-simplify]: Simplify (+ 0 im) into im
0.453 * [backup-simplify]: Simplify (* 2.0 im) into (* 2.0 im)
0.453 * [taylor]: Taking taylor expansion of (* 2.0 im) in im
0.453 * [taylor]: Taking taylor expansion of 2.0 in im
0.453 * [backup-simplify]: Simplify 2.0 into 2.0
0.453 * [taylor]: Taking taylor expansion of im in im
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 1 into 1
0.454 * [backup-simplify]: Simplify (* 2.0 0) into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify (+ 1 0) into 1
0.455 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 im)) into 2.0
0.455 * [taylor]: Taking taylor expansion of 2.0 in im
0.455 * [backup-simplify]: Simplify 2.0 into 2.0
0.455 * [backup-simplify]: Simplify 2.0 into 2.0
0.456 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
0.457 * [backup-simplify]: Simplify 2.0 into 2.0
0.457 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.457 * [backup-simplify]: Simplify (* 1 1) into 1
0.458 * [backup-simplify]: Simplify (+ 0 1) into 1
0.459 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.459 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.459 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1.0 (/ 1 im))
0.459 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 im)) in im
0.459 * [taylor]: Taking taylor expansion of 1.0 in im
0.459 * [backup-simplify]: Simplify 1.0 into 1.0
0.460 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.460 * [taylor]: Taking taylor expansion of im in im
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.460 * [backup-simplify]: Simplify (/ 1 1) into 1
0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
0.463 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.465 * [backup-simplify]: Simplify (+ 0 0) into 0
0.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.465 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im)))) into 0
0.466 * [taylor]: Taking taylor expansion of 0 in im
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
0.469 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))
0.469 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in (re im) around 0
0.469 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.469 * [taylor]: Taking taylor expansion of 2.0 in im
0.469 * [backup-simplify]: Simplify 2.0 into 2.0
0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.469 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.469 * [taylor]: Taking taylor expansion of re in im
0.469 * [backup-simplify]: Simplify re into re
0.469 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.470 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.470 * [taylor]: Taking taylor expansion of re in im
0.470 * [backup-simplify]: Simplify re into re
0.470 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.470 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.470 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.470 * [taylor]: Taking taylor expansion of im in im
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (* 1 1) into 1
0.471 * [backup-simplify]: Simplify (/ 1 1) into 1
0.471 * [backup-simplify]: Simplify (+ 0 1) into 1
0.472 * [backup-simplify]: Simplify (sqrt 1) into 1
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.474 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.474 * [taylor]: Taking taylor expansion of 2.0 in re
0.474 * [backup-simplify]: Simplify 2.0 into 2.0
0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.474 * [taylor]: Taking taylor expansion of re in re
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (/ 1 1) into 1
0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.475 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.475 * [taylor]: Taking taylor expansion of re in re
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (* 1 1) into 1
0.476 * [backup-simplify]: Simplify (/ 1 1) into 1
0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.476 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.476 * [taylor]: Taking taylor expansion of im in re
0.476 * [backup-simplify]: Simplify im into im
0.476 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.476 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.477 * [backup-simplify]: Simplify (+ 1 0) into 1
0.477 * [backup-simplify]: Simplify (sqrt 1) into 1
0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (+ 0 0) into 0
0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.479 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.480 * [taylor]: Taking taylor expansion of 2.0 in re
0.480 * [backup-simplify]: Simplify 2.0 into 2.0
0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.480 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.480 * [taylor]: Taking taylor expansion of re in re
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.480 * [backup-simplify]: Simplify (/ 1 1) into 1
0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.480 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.480 * [taylor]: Taking taylor expansion of re in re
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (* 1 1) into 1
0.481 * [backup-simplify]: Simplify (/ 1 1) into 1
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.481 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.481 * [taylor]: Taking taylor expansion of im in re
0.481 * [backup-simplify]: Simplify im into im
0.481 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.482 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.482 * [backup-simplify]: Simplify (+ 1 0) into 1
0.482 * [backup-simplify]: Simplify (sqrt 1) into 1
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (+ 0 0) into 0
0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.485 * [backup-simplify]: Simplify (+ 1 1) into 2
0.486 * [backup-simplify]: Simplify (* 2.0 2) into 4.0
0.486 * [taylor]: Taking taylor expansion of 4.0 in im
0.486 * [backup-simplify]: Simplify 4.0 into 4.0
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.488 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 2)) into 0
0.488 * [taylor]: Taking taylor expansion of 0 in im
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 4.0 into 4.0
0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.493 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.493 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.494 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (pow im 2)))
0.494 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im
0.494 * [taylor]: Taking taylor expansion of 1.0 in im
0.494 * [backup-simplify]: Simplify 1.0 into 1.0
0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.494 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.494 * [taylor]: Taking taylor expansion of im in im
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 1 into 1
0.495 * [backup-simplify]: Simplify (* 1 1) into 1
0.495 * [backup-simplify]: Simplify (/ 1 1) into 1
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.497 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
0.497 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2)))) into 0
0.504 * [taylor]: Taking taylor expansion of 0 in im
0.504 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify (* 4.0 (* 1 (/ 1 (/ 1 re)))) into (* 4.0 re)
0.508 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))
0.508 * [approximate]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in (re im) around 0
0.508 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.508 * [taylor]: Taking taylor expansion of 2.0 in im
0.508 * [backup-simplify]: Simplify 2.0 into 2.0
0.508 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.508 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.508 * [taylor]: Taking taylor expansion of re in im
0.508 * [backup-simplify]: Simplify re into re
0.508 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.508 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.508 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.508 * [taylor]: Taking taylor expansion of im in im
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (* 1 1) into 1
0.509 * [backup-simplify]: Simplify (/ 1 1) into 1
0.510 * [backup-simplify]: Simplify (+ 0 1) into 1
0.510 * [backup-simplify]: Simplify (sqrt 1) into 1
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (+ 0 0) into 0
0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.513 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.513 * [taylor]: Taking taylor expansion of re in im
0.513 * [backup-simplify]: Simplify re into re
0.513 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.513 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.513 * [taylor]: Taking taylor expansion of 2.0 in re
0.513 * [backup-simplify]: Simplify 2.0 into 2.0
0.513 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.514 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.514 * [taylor]: Taking taylor expansion of re in re
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (* 1 1) into 1
0.514 * [backup-simplify]: Simplify (/ 1 1) into 1
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.515 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.515 * [taylor]: Taking taylor expansion of im in re
0.515 * [backup-simplify]: Simplify im into im
0.515 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.515 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.515 * [backup-simplify]: Simplify (+ 1 0) into 1
0.516 * [backup-simplify]: Simplify (sqrt 1) into 1
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (+ 0 0) into 0
0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.518 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.518 * [taylor]: Taking taylor expansion of re in re
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (/ 1 1) into 1
0.519 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.519 * [taylor]: Taking taylor expansion of 2.0 in re
0.519 * [backup-simplify]: Simplify 2.0 into 2.0
0.519 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.519 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.519 * [taylor]: Taking taylor expansion of re in re
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.520 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.520 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.520 * [taylor]: Taking taylor expansion of im in re
0.520 * [backup-simplify]: Simplify im into im
0.520 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.520 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.521 * [backup-simplify]: Simplify (+ 1 0) into 1
0.521 * [backup-simplify]: Simplify (sqrt 1) into 1
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (+ 0 0) into 0
0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.524 * [taylor]: Taking taylor expansion of re in re
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.524 * [backup-simplify]: Simplify (/ 1 1) into 1
0.525 * [backup-simplify]: Simplify (- 1) into -1
0.525 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.526 * [backup-simplify]: Simplify (* 2.0 0) into 0
0.526 * [taylor]: Taking taylor expansion of 0 in im
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (- 0) into 0
0.527 * [backup-simplify]: Simplify (+ 0 0) into 0
0.528 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0
0.528 * [taylor]: Taking taylor expansion of 0 in im
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.532 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (- 0) into 0
0.533 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.534 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2)))
0.534 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im
0.534 * [taylor]: Taking taylor expansion of 1.0 in im
0.534 * [backup-simplify]: Simplify 1.0 into 1.0
0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.534 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.534 * [taylor]: Taking taylor expansion of im in im
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.535 * [backup-simplify]: Simplify (* 1 1) into 1
0.535 * [backup-simplify]: Simplify (/ 1 1) into 1
0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.540 * [backup-simplify]: Simplify (+ 0 0) into 0
0.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (- 0) into 0
0.543 * [backup-simplify]: Simplify (+ 0 0) into 0
0.544 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0
0.544 * [taylor]: Taking taylor expansion of 0 in im
0.544 * [backup-simplify]: Simplify 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
0.547 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * * * [progress]: simplifying candidates
0.549 * [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)
  (* (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))
  (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (log 2.0) (log (+ (sqrt (+ (* re re) (* im im))) re)))
  (log (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (exp (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (* 2.0 2.0) 2.0) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 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) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* 2.0 (sqrt (+ (* re re) (* im im))))
  (* 2.0 re)
  (* (sqrt (+ (* re re) (* im im))) 2.0)
  (* re 2.0)
  (* 2.0 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* 2.0 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* 2.0 1)
  (* 2.0 1)
  (* (cbrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re))
  (* (sqrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re))
  (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))
  (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))
  (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (* 2.0 re) (* 2.0 im))
  (* 4.0 re)
  0
0.551 * * [simplify]: iteration 0: 101 enodes
0.593 * * [simplify]: iteration 1: 291 enodes
0.787 * * [simplify]: iteration 2: 1495 enodes
1.268 * * [simplify]: iteration complete: 5000 enodes
1.268 * * [simplify]: Extracting #0: cost 62 inf + 0
1.269 * * [simplify]: Extracting #1: cost 563 inf + 6
1.278 * * [simplify]: Extracting #2: cost 1772 inf + 9071
1.301 * * [simplify]: Extracting #3: cost 1774 inf + 56170
1.330 * * [simplify]: Extracting #4: cost 988 inf + 185368
1.431 * * [simplify]: Extracting #5: cost 229 inf + 415032
1.555 * * [simplify]: Extracting #6: cost 9 inf + 486844
1.671 * * [simplify]: Extracting #7: cost 0 inf + 489401
1.808 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ re (sqrt (+ (* im im) (* re re)))))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ re (sqrt (+ (* im im) (* re re)))))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (- (+ (+ (* im im) (* re re)) (* re re)) (* re (sqrt (+ (* im im) (* re re)))))
  (+ (* im im) 0)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (exp (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (* (+ (* im im) (* re re)) (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) (* im im)) (* im im)))
  (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))
  (* (+ (* im im) (* re re)) (- (* re re) (* im im)))
  (- (* re re) (* im im))
  (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))
  (log (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (log (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (exp (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (* (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (cbrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (cbrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (* (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))
  (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))
  (* 2.0 (sqrt (+ (* im im) (* re re))))
  (* 2.0 re)
  (* 2.0 (sqrt (+ (* im im) (* re re))))
  (* re 2.0)
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) 2.0))
  (* 2.0 (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  2.0
  2.0
  (* (+ (sqrt (+ (* im im) (* re re))) re) (cbrt 2.0))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (sqrt 2.0))
  (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))
  (* 2.0 (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)))
  (* 2.0 (+ (* im im) 0))
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (* (+ re im) 2.0)
  (* 4.0 re)
  0
1.816 * * * [progress]: adding candidates to table
2.298 * * [progress]: iteration 2 / 4
2.298 * * * [progress]: picking best candidate
2.321 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.321 * * * [progress]: localizing error
2.367 * * * [progress]: generating rewritten candidates
2.367 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
2.375 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
2.382 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
2.412 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
2.488 * * * [progress]: generating series expansions
2.488 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
2.488 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.488 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.488 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.488 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.488 * [taylor]: Taking taylor expansion of im in im
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify 1 into 1
2.488 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.488 * [taylor]: Taking taylor expansion of re in im
2.488 * [backup-simplify]: Simplify re into re
2.489 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.489 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.489 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.489 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.489 * [backup-simplify]: Simplify (+ 0 0) into 0
2.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.490 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.490 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.490 * [taylor]: Taking taylor expansion of im in re
2.490 * [backup-simplify]: Simplify im into im
2.490 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.490 * [taylor]: Taking taylor expansion of re in re
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 1 into 1
2.490 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.490 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.490 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.490 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.490 * [backup-simplify]: Simplify (+ 0 0) into 0
2.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.490 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.490 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.490 * [taylor]: Taking taylor expansion of im in re
2.490 * [backup-simplify]: Simplify im into im
2.490 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.490 * [taylor]: Taking taylor expansion of re in re
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 1 into 1
2.491 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.491 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.491 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.491 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.491 * [backup-simplify]: Simplify (+ 0 0) into 0
2.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.491 * [taylor]: Taking taylor expansion of im in im
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 1 into 1
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [taylor]: Taking taylor expansion of 0 in im
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 1 into 1
2.492 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.492 * [backup-simplify]: Simplify (* 1 1) into 1
2.492 * [backup-simplify]: Simplify (+ 0 1) into 1
2.493 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.493 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.493 * [taylor]: Taking taylor expansion of 1/2 in im
2.493 * [backup-simplify]: Simplify 1/2 into 1/2
2.493 * [taylor]: Taking taylor expansion of im in im
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 1 into 1
2.493 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.493 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.495 * [backup-simplify]: Simplify (+ 0 0) into 0
2.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.495 * [taylor]: Taking taylor expansion of 0 in im
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.496 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.496 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.496 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.496 * [taylor]: Taking taylor expansion of re in im
2.496 * [backup-simplify]: Simplify re into re
2.496 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.496 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.496 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.496 * [taylor]: Taking taylor expansion of im in im
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify 1 into 1
2.496 * [backup-simplify]: Simplify (* 1 1) into 1
2.496 * [backup-simplify]: Simplify (/ 1 1) into 1
2.497 * [backup-simplify]: Simplify (+ 0 1) into 1
2.497 * [backup-simplify]: Simplify (sqrt 1) into 1
2.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.498 * [backup-simplify]: Simplify (+ 0 0) into 0
2.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.498 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.499 * [taylor]: Taking taylor expansion of re in re
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 1 into 1
2.499 * [backup-simplify]: Simplify (* 1 1) into 1
2.499 * [backup-simplify]: Simplify (/ 1 1) into 1
2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.499 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.499 * [taylor]: Taking taylor expansion of im in re
2.499 * [backup-simplify]: Simplify im into im
2.499 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.499 * [backup-simplify]: Simplify (+ 1 0) into 1
2.500 * [backup-simplify]: Simplify (sqrt 1) into 1
2.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.501 * [backup-simplify]: Simplify (+ 0 0) into 0
2.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.501 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.501 * [taylor]: Taking taylor expansion of re in re
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 1 into 1
2.502 * [backup-simplify]: Simplify (* 1 1) into 1
2.502 * [backup-simplify]: Simplify (/ 1 1) into 1
2.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.502 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.502 * [taylor]: Taking taylor expansion of im in re
2.502 * [backup-simplify]: Simplify im into im
2.502 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.502 * [backup-simplify]: Simplify (+ 1 0) into 1
2.502 * [backup-simplify]: Simplify (sqrt 1) into 1
2.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.504 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.504 * [taylor]: Taking taylor expansion of 1 in im
2.504 * [backup-simplify]: Simplify 1 into 1
2.504 * [taylor]: Taking taylor expansion of 0 in im
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify 1 into 1
2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.505 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.506 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.506 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.506 * [taylor]: Taking taylor expansion of 1/2 in im
2.506 * [backup-simplify]: Simplify 1/2 into 1/2
2.506 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.506 * [taylor]: Taking taylor expansion of im in im
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 1 into 1
2.506 * [backup-simplify]: Simplify (* 1 1) into 1
2.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.509 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.509 * [backup-simplify]: Simplify (+ 0 0) into 0
2.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.510 * [taylor]: Taking taylor expansion of 0 in im
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.511 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.511 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.511 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.511 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.511 * [taylor]: Taking taylor expansion of re in im
2.511 * [backup-simplify]: Simplify re into re
2.511 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.512 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.512 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.512 * [taylor]: Taking taylor expansion of im in im
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 1 into 1
2.512 * [backup-simplify]: Simplify (* 1 1) into 1
2.512 * [backup-simplify]: Simplify (/ 1 1) into 1
2.512 * [backup-simplify]: Simplify (+ 0 1) into 1
2.513 * [backup-simplify]: Simplify (sqrt 1) into 1
2.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.514 * [backup-simplify]: Simplify (+ 0 0) into 0
2.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.514 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.514 * [taylor]: Taking taylor expansion of re in re
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (* 1 1) into 1
2.515 * [backup-simplify]: Simplify (/ 1 1) into 1
2.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.515 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.515 * [taylor]: Taking taylor expansion of im in re
2.515 * [backup-simplify]: Simplify im into im
2.515 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.515 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.515 * [backup-simplify]: Simplify (+ 1 0) into 1
2.515 * [backup-simplify]: Simplify (sqrt 1) into 1
2.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify (+ 0 0) into 0
2.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.517 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.517 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.517 * [taylor]: Taking taylor expansion of re in re
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify 1 into 1
2.517 * [backup-simplify]: Simplify (* 1 1) into 1
2.517 * [backup-simplify]: Simplify (/ 1 1) into 1
2.517 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.517 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.517 * [taylor]: Taking taylor expansion of im in re
2.517 * [backup-simplify]: Simplify im into im
2.518 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.518 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.518 * [backup-simplify]: Simplify (+ 1 0) into 1
2.518 * [backup-simplify]: Simplify (sqrt 1) into 1
2.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.519 * [backup-simplify]: Simplify (+ 0 0) into 0
2.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.520 * [taylor]: Taking taylor expansion of 1 in im
2.520 * [backup-simplify]: Simplify 1 into 1
2.520 * [taylor]: Taking taylor expansion of 0 in im
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 1 into 1
2.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.521 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.522 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.522 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.522 * [taylor]: Taking taylor expansion of 1/2 in im
2.522 * [backup-simplify]: Simplify 1/2 into 1/2
2.522 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.522 * [taylor]: Taking taylor expansion of im in im
2.522 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [backup-simplify]: Simplify (* 1 1) into 1
2.522 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.528 * [backup-simplify]: Simplify (+ 0 0) into 0
2.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.528 * [taylor]: Taking taylor expansion of 0 in im
2.528 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.529 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
2.530 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.530 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.530 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.530 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.530 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.530 * [taylor]: Taking taylor expansion of im in im
2.530 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify 1 into 1
2.530 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.530 * [taylor]: Taking taylor expansion of re in im
2.530 * [backup-simplify]: Simplify re into re
2.530 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.530 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.530 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.530 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.530 * [backup-simplify]: Simplify (+ 0 0) into 0
2.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.531 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.531 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.531 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.531 * [taylor]: Taking taylor expansion of im in re
2.531 * [backup-simplify]: Simplify im into im
2.531 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.531 * [taylor]: Taking taylor expansion of re in re
2.531 * [backup-simplify]: Simplify 0 into 0
2.531 * [backup-simplify]: Simplify 1 into 1
2.531 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.531 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.531 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.531 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.532 * [backup-simplify]: Simplify (+ 0 0) into 0
2.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.532 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.532 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.532 * [taylor]: Taking taylor expansion of im in re
2.532 * [backup-simplify]: Simplify im into im
2.532 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.532 * [taylor]: Taking taylor expansion of re in re
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify 1 into 1
2.532 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.532 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.532 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.532 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.533 * [backup-simplify]: Simplify (+ 0 0) into 0
2.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.533 * [taylor]: Taking taylor expansion of im in im
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 1 into 1
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [taylor]: Taking taylor expansion of 0 in im
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 1 into 1
2.534 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.535 * [backup-simplify]: Simplify (* 1 1) into 1
2.535 * [backup-simplify]: Simplify (+ 0 1) into 1
2.536 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.536 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.536 * [taylor]: Taking taylor expansion of 1/2 in im
2.536 * [backup-simplify]: Simplify 1/2 into 1/2
2.536 * [taylor]: Taking taylor expansion of im in im
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 1 into 1
2.536 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.539 * [backup-simplify]: Simplify (+ 0 0) into 0
2.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.540 * [taylor]: Taking taylor expansion of 0 in im
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.541 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.541 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.541 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.541 * [taylor]: Taking taylor expansion of re in im
2.541 * [backup-simplify]: Simplify re into re
2.541 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.542 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.542 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.542 * [taylor]: Taking taylor expansion of im in im
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [backup-simplify]: Simplify (* 1 1) into 1
2.543 * [backup-simplify]: Simplify (/ 1 1) into 1
2.543 * [backup-simplify]: Simplify (+ 0 1) into 1
2.543 * [backup-simplify]: Simplify (sqrt 1) into 1
2.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.545 * [backup-simplify]: Simplify (+ 0 0) into 0
2.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.546 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.546 * [taylor]: Taking taylor expansion of re in re
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 1 into 1
2.546 * [backup-simplify]: Simplify (* 1 1) into 1
2.547 * [backup-simplify]: Simplify (/ 1 1) into 1
2.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.547 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.547 * [taylor]: Taking taylor expansion of im in re
2.547 * [backup-simplify]: Simplify im into im
2.547 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.547 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.548 * [backup-simplify]: Simplify (+ 1 0) into 1
2.548 * [backup-simplify]: Simplify (sqrt 1) into 1
2.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.550 * [backup-simplify]: Simplify (+ 0 0) into 0
2.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.551 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.551 * [taylor]: Taking taylor expansion of re in re
2.551 * [backup-simplify]: Simplify 0 into 0
2.551 * [backup-simplify]: Simplify 1 into 1
2.551 * [backup-simplify]: Simplify (* 1 1) into 1
2.552 * [backup-simplify]: Simplify (/ 1 1) into 1
2.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.552 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.552 * [taylor]: Taking taylor expansion of im in re
2.552 * [backup-simplify]: Simplify im into im
2.552 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.552 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.552 * [backup-simplify]: Simplify (+ 1 0) into 1
2.553 * [backup-simplify]: Simplify (sqrt 1) into 1
2.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.555 * [backup-simplify]: Simplify (+ 0 0) into 0
2.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.555 * [taylor]: Taking taylor expansion of 1 in im
2.555 * [backup-simplify]: Simplify 1 into 1
2.555 * [taylor]: Taking taylor expansion of 0 in im
2.555 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.558 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.559 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.559 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.559 * [taylor]: Taking taylor expansion of 1/2 in im
2.559 * [backup-simplify]: Simplify 1/2 into 1/2
2.559 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.559 * [taylor]: Taking taylor expansion of im in im
2.559 * [backup-simplify]: Simplify 0 into 0
2.559 * [backup-simplify]: Simplify 1 into 1
2.560 * [backup-simplify]: Simplify (* 1 1) into 1
2.560 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.564 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.565 * [backup-simplify]: Simplify (+ 0 0) into 0
2.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.565 * [taylor]: Taking taylor expansion of 0 in im
2.565 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.568 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.568 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.568 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.568 * [taylor]: Taking taylor expansion of re in im
2.568 * [backup-simplify]: Simplify re into re
2.568 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.568 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.568 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.568 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.568 * [taylor]: Taking taylor expansion of im in im
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify 1 into 1
2.569 * [backup-simplify]: Simplify (* 1 1) into 1
2.569 * [backup-simplify]: Simplify (/ 1 1) into 1
2.570 * [backup-simplify]: Simplify (+ 0 1) into 1
2.570 * [backup-simplify]: Simplify (sqrt 1) into 1
2.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.572 * [backup-simplify]: Simplify (+ 0 0) into 0
2.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.573 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.573 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.573 * [taylor]: Taking taylor expansion of re in re
2.573 * [backup-simplify]: Simplify 0 into 0
2.573 * [backup-simplify]: Simplify 1 into 1
2.573 * [backup-simplify]: Simplify (* 1 1) into 1
2.574 * [backup-simplify]: Simplify (/ 1 1) into 1
2.574 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.574 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.574 * [taylor]: Taking taylor expansion of im in re
2.574 * [backup-simplify]: Simplify im into im
2.574 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.574 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.574 * [backup-simplify]: Simplify (+ 1 0) into 1
2.575 * [backup-simplify]: Simplify (sqrt 1) into 1
2.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (+ 0 0) into 0
2.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.577 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.578 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.578 * [taylor]: Taking taylor expansion of re in re
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 1 into 1
2.578 * [backup-simplify]: Simplify (* 1 1) into 1
2.578 * [backup-simplify]: Simplify (/ 1 1) into 1
2.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.578 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.578 * [taylor]: Taking taylor expansion of im in re
2.578 * [backup-simplify]: Simplify im into im
2.579 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.579 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.579 * [backup-simplify]: Simplify (+ 1 0) into 1
2.580 * [backup-simplify]: Simplify (sqrt 1) into 1
2.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.581 * [backup-simplify]: Simplify (+ 0 0) into 0
2.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.582 * [taylor]: Taking taylor expansion of 1 in im
2.582 * [backup-simplify]: Simplify 1 into 1
2.582 * [taylor]: Taking taylor expansion of 0 in im
2.582 * [backup-simplify]: Simplify 0 into 0
2.582 * [backup-simplify]: Simplify 1 into 1
2.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.584 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.586 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.586 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.586 * [taylor]: Taking taylor expansion of 1/2 in im
2.586 * [backup-simplify]: Simplify 1/2 into 1/2
2.586 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.586 * [taylor]: Taking taylor expansion of im in im
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 1 into 1
2.586 * [backup-simplify]: Simplify (* 1 1) into 1
2.587 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify 0 into 0
2.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.591 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.591 * [backup-simplify]: Simplify (+ 0 0) into 0
2.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.592 * [taylor]: Taking taylor expansion of 0 in im
2.592 * [backup-simplify]: Simplify 0 into 0
2.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.594 * [backup-simplify]: Simplify 0 into 0
2.594 * [backup-simplify]: Simplify 0 into 0
2.594 * [backup-simplify]: Simplify 0 into 0
2.595 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.595 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
2.595 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
2.595 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
2.595 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.595 * [taylor]: Taking taylor expansion of re in im
2.595 * [backup-simplify]: Simplify re into re
2.595 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.595 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.595 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.595 * [taylor]: Taking taylor expansion of im in im
2.595 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify 1 into 1
2.596 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.596 * [taylor]: Taking taylor expansion of re in im
2.596 * [backup-simplify]: Simplify re into re
2.596 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.596 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.596 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.596 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.596 * [backup-simplify]: Simplify (+ 0 0) into 0
2.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.597 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.597 * [taylor]: Taking taylor expansion of re in re
2.597 * [backup-simplify]: Simplify 0 into 0
2.597 * [backup-simplify]: Simplify 1 into 1
2.597 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.597 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.597 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.597 * [taylor]: Taking taylor expansion of im in re
2.597 * [backup-simplify]: Simplify im into im
2.597 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.597 * [taylor]: Taking taylor expansion of re in re
2.597 * [backup-simplify]: Simplify 0 into 0
2.597 * [backup-simplify]: Simplify 1 into 1
2.597 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.597 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.597 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.597 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.598 * [backup-simplify]: Simplify (+ 0 0) into 0
2.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.598 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.598 * [taylor]: Taking taylor expansion of re in re
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify 1 into 1
2.598 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.598 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.598 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.598 * [taylor]: Taking taylor expansion of im in re
2.598 * [backup-simplify]: Simplify im into im
2.598 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.598 * [taylor]: Taking taylor expansion of re in re
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify 1 into 1
2.598 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.599 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.599 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.599 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.599 * [backup-simplify]: Simplify (+ 0 0) into 0
2.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.600 * [backup-simplify]: Simplify (+ 0 im) into im
2.600 * [taylor]: Taking taylor expansion of im in im
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify 1 into 1
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify (+ 1 0) into 1
2.600 * [taylor]: Taking taylor expansion of 1 in im
2.600 * [backup-simplify]: Simplify 1 into 1
2.600 * [backup-simplify]: Simplify 1 into 1
2.600 * [backup-simplify]: Simplify 1 into 1
2.601 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.601 * [backup-simplify]: Simplify (* 1 1) into 1
2.602 * [backup-simplify]: Simplify (+ 0 1) into 1
2.602 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.602 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.603 * [taylor]: Taking taylor expansion of 1/2 in im
2.603 * [backup-simplify]: Simplify 1/2 into 1/2
2.603 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.603 * [taylor]: Taking taylor expansion of im in im
2.603 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify 1 into 1
2.603 * [backup-simplify]: Simplify (/ 1 1) into 1
2.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.607 * [backup-simplify]: Simplify (+ 0 0) into 0
2.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.607 * [backup-simplify]: Simplify (+ 0 0) into 0
2.607 * [taylor]: Taking taylor expansion of 0 in im
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.609 * [backup-simplify]: Simplify 0 into 0
2.609 * [backup-simplify]: Simplify 0 into 0
2.609 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.610 * [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 re 2)) (/ 1 (pow im 2)))))
2.610 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
2.610 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.610 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.610 * [taylor]: Taking taylor expansion of re in im
2.610 * [backup-simplify]: Simplify re into re
2.610 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.610 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.611 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.611 * [taylor]: Taking taylor expansion of re in im
2.611 * [backup-simplify]: Simplify re into re
2.611 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.611 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.611 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.611 * [taylor]: Taking taylor expansion of im in im
2.611 * [backup-simplify]: Simplify 0 into 0
2.611 * [backup-simplify]: Simplify 1 into 1
2.612 * [backup-simplify]: Simplify (* 1 1) into 1
2.612 * [backup-simplify]: Simplify (/ 1 1) into 1
2.612 * [backup-simplify]: Simplify (+ 0 1) into 1
2.613 * [backup-simplify]: Simplify (sqrt 1) into 1
2.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.615 * [backup-simplify]: Simplify (+ 0 0) into 0
2.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.615 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.615 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.615 * [taylor]: Taking taylor expansion of re in re
2.615 * [backup-simplify]: Simplify 0 into 0
2.615 * [backup-simplify]: Simplify 1 into 1
2.616 * [backup-simplify]: Simplify (/ 1 1) into 1
2.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.616 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.616 * [taylor]: Taking taylor expansion of re in re
2.616 * [backup-simplify]: Simplify 0 into 0
2.616 * [backup-simplify]: Simplify 1 into 1
2.616 * [backup-simplify]: Simplify (* 1 1) into 1
2.617 * [backup-simplify]: Simplify (/ 1 1) into 1
2.617 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.617 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.617 * [taylor]: Taking taylor expansion of im in re
2.617 * [backup-simplify]: Simplify im into im
2.617 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.617 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.618 * [backup-simplify]: Simplify (+ 1 0) into 1
2.618 * [backup-simplify]: Simplify (sqrt 1) into 1
2.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.620 * [backup-simplify]: Simplify (+ 0 0) into 0
2.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.621 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.621 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.621 * [taylor]: Taking taylor expansion of re in re
2.621 * [backup-simplify]: Simplify 0 into 0
2.621 * [backup-simplify]: Simplify 1 into 1
2.621 * [backup-simplify]: Simplify (/ 1 1) into 1
2.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.621 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.621 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.621 * [taylor]: Taking taylor expansion of re in re
2.621 * [backup-simplify]: Simplify 0 into 0
2.621 * [backup-simplify]: Simplify 1 into 1
2.622 * [backup-simplify]: Simplify (* 1 1) into 1
2.622 * [backup-simplify]: Simplify (/ 1 1) into 1
2.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.622 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.622 * [taylor]: Taking taylor expansion of im in re
2.622 * [backup-simplify]: Simplify im into im
2.622 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.623 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.623 * [backup-simplify]: Simplify (+ 1 0) into 1
2.623 * [backup-simplify]: Simplify (sqrt 1) into 1
2.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.625 * [backup-simplify]: Simplify (+ 0 0) into 0
2.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.626 * [backup-simplify]: Simplify (+ 1 1) into 2
2.626 * [taylor]: Taking taylor expansion of 2 in im
2.627 * [backup-simplify]: Simplify 2 into 2
2.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.628 * [backup-simplify]: Simplify (+ 0 0) into 0
2.628 * [taylor]: Taking taylor expansion of 0 in im
2.628 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify 2 into 2
2.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.631 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.632 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.632 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.633 * [taylor]: Taking taylor expansion of 1/2 in im
2.633 * [backup-simplify]: Simplify 1/2 into 1/2
2.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.633 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.633 * [taylor]: Taking taylor expansion of im in im
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify 1 into 1
2.633 * [backup-simplify]: Simplify (* 1 1) into 1
2.633 * [backup-simplify]: Simplify (/ 1 1) into 1
2.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.639 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.640 * [backup-simplify]: Simplify (+ 0 0) into 0
2.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.641 * [backup-simplify]: Simplify (+ 0 0) into 0
2.641 * [taylor]: Taking taylor expansion of 0 in im
2.641 * [backup-simplify]: Simplify 0 into 0
2.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.644 * [backup-simplify]: Simplify 0 into 0
2.644 * [backup-simplify]: Simplify 0 into 0
2.644 * [backup-simplify]: Simplify 0 into 0
2.644 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.645 * [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 re 2)) (/ 1 (pow im 2)))) (/ 1 re))
2.645 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
2.645 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.645 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.645 * [taylor]: Taking taylor expansion of re in im
2.645 * [backup-simplify]: Simplify re into re
2.645 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.645 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.646 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.646 * [taylor]: Taking taylor expansion of im in im
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 1 into 1
2.646 * [backup-simplify]: Simplify (* 1 1) into 1
2.646 * [backup-simplify]: Simplify (/ 1 1) into 1
2.647 * [backup-simplify]: Simplify (+ 0 1) into 1
2.647 * [backup-simplify]: Simplify (sqrt 1) into 1
2.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.648 * [backup-simplify]: Simplify (+ 0 0) into 0
2.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.648 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.648 * [taylor]: Taking taylor expansion of re in im
2.648 * [backup-simplify]: Simplify re into re
2.649 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.649 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.649 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.649 * [taylor]: Taking taylor expansion of re in re
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 1 into 1
2.649 * [backup-simplify]: Simplify (* 1 1) into 1
2.649 * [backup-simplify]: Simplify (/ 1 1) into 1
2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.649 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.649 * [taylor]: Taking taylor expansion of im in re
2.649 * [backup-simplify]: Simplify im into im
2.649 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.649 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.650 * [backup-simplify]: Simplify (+ 1 0) into 1
2.650 * [backup-simplify]: Simplify (sqrt 1) into 1
2.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.651 * [backup-simplify]: Simplify (+ 0 0) into 0
2.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.651 * [taylor]: Taking taylor expansion of re in re
2.651 * [backup-simplify]: Simplify 0 into 0
2.651 * [backup-simplify]: Simplify 1 into 1
2.652 * [backup-simplify]: Simplify (/ 1 1) into 1
2.652 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.652 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.652 * [taylor]: Taking taylor expansion of re in re
2.652 * [backup-simplify]: Simplify 0 into 0
2.652 * [backup-simplify]: Simplify 1 into 1
2.652 * [backup-simplify]: Simplify (* 1 1) into 1
2.652 * [backup-simplify]: Simplify (/ 1 1) into 1
2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.652 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.652 * [taylor]: Taking taylor expansion of im in re
2.652 * [backup-simplify]: Simplify im into im
2.652 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.652 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.653 * [backup-simplify]: Simplify (+ 1 0) into 1
2.653 * [backup-simplify]: Simplify (sqrt 1) into 1
2.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.654 * [backup-simplify]: Simplify (+ 0 0) into 0
2.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.655 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.655 * [taylor]: Taking taylor expansion of re in re
2.655 * [backup-simplify]: Simplify 0 into 0
2.655 * [backup-simplify]: Simplify 1 into 1
2.655 * [backup-simplify]: Simplify (/ 1 1) into 1
2.655 * [backup-simplify]: Simplify (- 1) into -1
2.655 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.655 * [taylor]: Taking taylor expansion of 0 in im
2.655 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.656 * [backup-simplify]: Simplify (- 0) into 0
2.656 * [backup-simplify]: Simplify (+ 0 0) into 0
2.656 * [taylor]: Taking taylor expansion of 0 in im
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify 0 into 0
2.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.658 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.658 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.659 * [backup-simplify]: Simplify (- 0) into 0
2.659 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.659 * [taylor]: Taking taylor expansion of 1/2 in im
2.659 * [backup-simplify]: Simplify 1/2 into 1/2
2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.659 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.659 * [taylor]: Taking taylor expansion of im in im
2.659 * [backup-simplify]: Simplify 0 into 0
2.659 * [backup-simplify]: Simplify 1 into 1
2.660 * [backup-simplify]: Simplify (* 1 1) into 1
2.660 * [backup-simplify]: Simplify (/ 1 1) into 1
2.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.661 * [backup-simplify]: Simplify 0 into 0
2.661 * [backup-simplify]: Simplify 0 into 0
2.661 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.662 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.663 * [backup-simplify]: Simplify (+ 0 0) into 0
2.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (- 0) into 0
2.664 * [backup-simplify]: Simplify (+ 0 0) into 0
2.664 * [taylor]: Taking taylor expansion of 0 in im
2.664 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.668 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify 0 into 0
2.668 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
2.669 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
2.669 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.669 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.669 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.669 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.669 * [taylor]: Taking taylor expansion of im in im
2.669 * [backup-simplify]: Simplify 0 into 0
2.669 * [backup-simplify]: Simplify 1 into 1
2.669 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.669 * [taylor]: Taking taylor expansion of re in im
2.669 * [backup-simplify]: Simplify re into re
2.669 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.669 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.669 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.669 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.669 * [backup-simplify]: Simplify (+ 0 0) into 0
2.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.670 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.670 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.670 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.670 * [taylor]: Taking taylor expansion of im in re
2.670 * [backup-simplify]: Simplify im into im
2.670 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.670 * [taylor]: Taking taylor expansion of re in re
2.670 * [backup-simplify]: Simplify 0 into 0
2.670 * [backup-simplify]: Simplify 1 into 1
2.670 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.670 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.670 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.670 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.670 * [backup-simplify]: Simplify (+ 0 0) into 0
2.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.670 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.670 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.670 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.670 * [taylor]: Taking taylor expansion of im in re
2.671 * [backup-simplify]: Simplify im into im
2.671 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.671 * [taylor]: Taking taylor expansion of re in re
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify 1 into 1
2.671 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.671 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.671 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.671 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.671 * [backup-simplify]: Simplify (+ 0 0) into 0
2.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.671 * [taylor]: Taking taylor expansion of im in im
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify 1 into 1
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [taylor]: Taking taylor expansion of 0 in im
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify 1 into 1
2.672 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.672 * [backup-simplify]: Simplify (* 1 1) into 1
2.672 * [backup-simplify]: Simplify (+ 0 1) into 1
2.673 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.673 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.673 * [taylor]: Taking taylor expansion of 1/2 in im
2.673 * [backup-simplify]: Simplify 1/2 into 1/2
2.673 * [taylor]: Taking taylor expansion of im in im
2.673 * [backup-simplify]: Simplify 0 into 0
2.673 * [backup-simplify]: Simplify 1 into 1
2.673 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.674 * [backup-simplify]: Simplify 0 into 0
2.674 * [backup-simplify]: Simplify 0 into 0
2.674 * [backup-simplify]: Simplify 0 into 0
2.674 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.675 * [backup-simplify]: Simplify (+ 0 0) into 0
2.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.675 * [taylor]: Taking taylor expansion of 0 in im
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.676 * [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 re 2)) (/ 1 (pow im 2))))
2.676 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.676 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.676 * [taylor]: Taking taylor expansion of re in im
2.676 * [backup-simplify]: Simplify re into re
2.676 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.676 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.676 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.676 * [taylor]: Taking taylor expansion of im in im
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify 1 into 1
2.677 * [backup-simplify]: Simplify (* 1 1) into 1
2.677 * [backup-simplify]: Simplify (/ 1 1) into 1
2.677 * [backup-simplify]: Simplify (+ 0 1) into 1
2.677 * [backup-simplify]: Simplify (sqrt 1) into 1
2.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.678 * [backup-simplify]: Simplify (+ 0 0) into 0
2.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.679 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.679 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.679 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.679 * [taylor]: Taking taylor expansion of re in re
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 1 into 1
2.679 * [backup-simplify]: Simplify (* 1 1) into 1
2.679 * [backup-simplify]: Simplify (/ 1 1) into 1
2.679 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.679 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.679 * [taylor]: Taking taylor expansion of im in re
2.679 * [backup-simplify]: Simplify im into im
2.679 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.680 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.680 * [backup-simplify]: Simplify (+ 1 0) into 1
2.680 * [backup-simplify]: Simplify (sqrt 1) into 1
2.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.681 * [backup-simplify]: Simplify (+ 0 0) into 0
2.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.682 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.682 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.682 * [taylor]: Taking taylor expansion of re in re
2.682 * [backup-simplify]: Simplify 0 into 0
2.682 * [backup-simplify]: Simplify 1 into 1
2.682 * [backup-simplify]: Simplify (* 1 1) into 1
2.682 * [backup-simplify]: Simplify (/ 1 1) into 1
2.682 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.682 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.682 * [taylor]: Taking taylor expansion of im in re
2.682 * [backup-simplify]: Simplify im into im
2.682 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.682 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.683 * [backup-simplify]: Simplify (+ 1 0) into 1
2.683 * [backup-simplify]: Simplify (sqrt 1) into 1
2.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.684 * [backup-simplify]: Simplify (+ 0 0) into 0
2.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.684 * [taylor]: Taking taylor expansion of 1 in im
2.684 * [backup-simplify]: Simplify 1 into 1
2.684 * [taylor]: Taking taylor expansion of 0 in im
2.684 * [backup-simplify]: Simplify 0 into 0
2.684 * [backup-simplify]: Simplify 1 into 1
2.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.686 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.687 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.687 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.687 * [taylor]: Taking taylor expansion of 1/2 in im
2.687 * [backup-simplify]: Simplify 1/2 into 1/2
2.687 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.687 * [taylor]: Taking taylor expansion of im in im
2.687 * [backup-simplify]: Simplify 0 into 0
2.687 * [backup-simplify]: Simplify 1 into 1
2.687 * [backup-simplify]: Simplify (* 1 1) into 1
2.687 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify 0 into 0
2.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.689 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.690 * [backup-simplify]: Simplify (+ 0 0) into 0
2.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.690 * [taylor]: Taking taylor expansion of 0 in im
2.690 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.692 * [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 re 2)) (/ 1 (pow im 2))))
2.692 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.692 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.692 * [taylor]: Taking taylor expansion of re in im
2.692 * [backup-simplify]: Simplify re into re
2.692 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.692 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.692 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.692 * [taylor]: Taking taylor expansion of im in im
2.692 * [backup-simplify]: Simplify 0 into 0
2.692 * [backup-simplify]: Simplify 1 into 1
2.692 * [backup-simplify]: Simplify (* 1 1) into 1
2.693 * [backup-simplify]: Simplify (/ 1 1) into 1
2.693 * [backup-simplify]: Simplify (+ 0 1) into 1
2.693 * [backup-simplify]: Simplify (sqrt 1) into 1
2.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.694 * [backup-simplify]: Simplify (+ 0 0) into 0
2.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.695 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.695 * [taylor]: Taking taylor expansion of re in re
2.695 * [backup-simplify]: Simplify 0 into 0
2.695 * [backup-simplify]: Simplify 1 into 1
2.695 * [backup-simplify]: Simplify (* 1 1) into 1
2.696 * [backup-simplify]: Simplify (/ 1 1) into 1
2.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.696 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.696 * [taylor]: Taking taylor expansion of im in re
2.696 * [backup-simplify]: Simplify im into im
2.696 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.696 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.696 * [backup-simplify]: Simplify (+ 1 0) into 1
2.696 * [backup-simplify]: Simplify (sqrt 1) into 1
2.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.697 * [backup-simplify]: Simplify (+ 0 0) into 0
2.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.698 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.698 * [taylor]: Taking taylor expansion of re in re
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 1 into 1
2.698 * [backup-simplify]: Simplify (* 1 1) into 1
2.698 * [backup-simplify]: Simplify (/ 1 1) into 1
2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.698 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.698 * [taylor]: Taking taylor expansion of im in re
2.698 * [backup-simplify]: Simplify im into im
2.698 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.699 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.699 * [backup-simplify]: Simplify (+ 1 0) into 1
2.699 * [backup-simplify]: Simplify (sqrt 1) into 1
2.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.700 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.701 * [taylor]: Taking taylor expansion of 1 in im
2.701 * [backup-simplify]: Simplify 1 into 1
2.701 * [taylor]: Taking taylor expansion of 0 in im
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 1 into 1
2.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.702 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.703 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.703 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.703 * [taylor]: Taking taylor expansion of 1/2 in im
2.703 * [backup-simplify]: Simplify 1/2 into 1/2
2.703 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.703 * [taylor]: Taking taylor expansion of im in im
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 1 into 1
2.703 * [backup-simplify]: Simplify (* 1 1) into 1
2.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.705 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.706 * [backup-simplify]: Simplify (+ 0 0) into 0
2.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.706 * [taylor]: Taking taylor expansion of 0 in im
2.706 * [backup-simplify]: Simplify 0 into 0
2.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.707 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.708 * * * [progress]: simplifying candidates
2.710 * [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)
2.712 * * [simplify]: iteration 0: 133 enodes
2.761 * * [simplify]: iteration 1: 300 enodes
2.869 * * [simplify]: iteration 2: 1111 enodes
3.720 * * [simplify]: iteration complete: 5001 enodes
3.720 * * [simplify]: Extracting #0: cost 46 inf + 0
3.722 * * [simplify]: Extracting #1: cost 865 inf + 47
3.730 * * [simplify]: Extracting #2: cost 1581 inf + 1191
3.767 * * [simplify]: Extracting #3: cost 1242 inf + 115788
3.846 * * [simplify]: Extracting #4: cost 279 inf + 395202
3.950 * * [simplify]: Extracting #5: cost 28 inf + 478041
4.121 * * [simplify]: Extracting #6: cost 20 inf + 480891
4.280 * * [simplify]: Extracting #7: cost 6 inf + 482905
4.396 * * [simplify]: Extracting #8: cost 0 inf + 484663
4.536 * [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))))
  (* (+ (* re re) (* im im)) (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))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* 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))))
  (* (+ (* re re) (* im im)) (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))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* 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))) 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))
  (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re)))
  (+ (* (- re (sqrt (+ (* re re) (* im im)))) re) (+ (* re re) (* im im)))
  (+ (* im im) 0)
  (- (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)))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ (* re re) (* im im))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  2
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (+ (* re re) (* im im))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (* (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))) (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))))
  (* (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))) (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (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 (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (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
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* 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 (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)))) (cbrt (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 (+ (* re re) (* im im)))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  im
  re
  (- re)
4.552 * * * [progress]: adding candidates to table
5.212 * * [progress]: iteration 3 / 4
5.212 * * * [progress]: picking best candidate
5.243 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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))))))) re)))))>
5.243 * * * [progress]: localizing error
5.347 * * * [progress]: generating rewritten candidates
5.347 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 2 1 1)
5.360 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
5.373 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1)
5.386 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
5.400 * * * [progress]: generating series expansions
5.400 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 2 1 1)
5.401 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.401 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.401 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.401 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.401 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.401 * [taylor]: Taking taylor expansion of im in im
5.401 * [backup-simplify]: Simplify 0 into 0
5.401 * [backup-simplify]: Simplify 1 into 1
5.401 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.401 * [taylor]: Taking taylor expansion of re in im
5.401 * [backup-simplify]: Simplify re into re
5.401 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.401 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.401 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.401 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.402 * [backup-simplify]: Simplify (+ 0 0) into 0
5.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.402 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.402 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.402 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.402 * [taylor]: Taking taylor expansion of im in re
5.402 * [backup-simplify]: Simplify im into im
5.403 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.403 * [taylor]: Taking taylor expansion of re in re
5.403 * [backup-simplify]: Simplify 0 into 0
5.403 * [backup-simplify]: Simplify 1 into 1
5.403 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.403 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.403 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.403 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.403 * [backup-simplify]: Simplify (+ 0 0) into 0
5.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.404 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.404 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.404 * [taylor]: Taking taylor expansion of im in re
5.404 * [backup-simplify]: Simplify im into im
5.404 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.404 * [taylor]: Taking taylor expansion of re in re
5.404 * [backup-simplify]: Simplify 0 into 0
5.404 * [backup-simplify]: Simplify 1 into 1
5.404 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.404 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.404 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.404 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.405 * [backup-simplify]: Simplify (+ 0 0) into 0
5.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.405 * [taylor]: Taking taylor expansion of im in im
5.405 * [backup-simplify]: Simplify 0 into 0
5.405 * [backup-simplify]: Simplify 1 into 1
5.405 * [backup-simplify]: Simplify 0 into 0
5.405 * [taylor]: Taking taylor expansion of 0 in im
5.405 * [backup-simplify]: Simplify 0 into 0
5.405 * [backup-simplify]: Simplify 0 into 0
5.405 * [backup-simplify]: Simplify 1 into 1
5.406 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.406 * [backup-simplify]: Simplify (* 1 1) into 1
5.407 * [backup-simplify]: Simplify (+ 0 1) into 1
5.408 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.408 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.408 * [taylor]: Taking taylor expansion of 1/2 in im
5.408 * [backup-simplify]: Simplify 1/2 into 1/2
5.408 * [taylor]: Taking taylor expansion of im in im
5.408 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify 1 into 1
5.408 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.409 * [backup-simplify]: Simplify 0 into 0
5.409 * [backup-simplify]: Simplify 0 into 0
5.409 * [backup-simplify]: Simplify 0 into 0
5.410 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.411 * [backup-simplify]: Simplify (+ 0 0) into 0
5.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.412 * [taylor]: Taking taylor expansion of 0 in im
5.412 * [backup-simplify]: Simplify 0 into 0
5.412 * [backup-simplify]: Simplify 0 into 0
5.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.413 * [backup-simplify]: Simplify 0 into 0
5.413 * [backup-simplify]: Simplify 0 into 0
5.413 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.413 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.413 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.413 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.413 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.413 * [taylor]: Taking taylor expansion of re in im
5.413 * [backup-simplify]: Simplify re into re
5.413 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.414 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.414 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.414 * [taylor]: Taking taylor expansion of im in im
5.414 * [backup-simplify]: Simplify 0 into 0
5.414 * [backup-simplify]: Simplify 1 into 1
5.414 * [backup-simplify]: Simplify (* 1 1) into 1
5.415 * [backup-simplify]: Simplify (/ 1 1) into 1
5.415 * [backup-simplify]: Simplify (+ 0 1) into 1
5.415 * [backup-simplify]: Simplify (sqrt 1) into 1
5.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.417 * [backup-simplify]: Simplify (+ 0 0) into 0
5.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.418 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.418 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.418 * [taylor]: Taking taylor expansion of re in re
5.418 * [backup-simplify]: Simplify 0 into 0
5.418 * [backup-simplify]: Simplify 1 into 1
5.419 * [backup-simplify]: Simplify (* 1 1) into 1
5.419 * [backup-simplify]: Simplify (/ 1 1) into 1
5.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.419 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.419 * [taylor]: Taking taylor expansion of im in re
5.419 * [backup-simplify]: Simplify im into im
5.419 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.420 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.420 * [backup-simplify]: Simplify (+ 1 0) into 1
5.420 * [backup-simplify]: Simplify (sqrt 1) into 1
5.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.422 * [backup-simplify]: Simplify (+ 0 0) into 0
5.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.423 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.423 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.423 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.423 * [taylor]: Taking taylor expansion of re in re
5.423 * [backup-simplify]: Simplify 0 into 0
5.423 * [backup-simplify]: Simplify 1 into 1
5.424 * [backup-simplify]: Simplify (* 1 1) into 1
5.424 * [backup-simplify]: Simplify (/ 1 1) into 1
5.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.424 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.424 * [taylor]: Taking taylor expansion of im in re
5.424 * [backup-simplify]: Simplify im into im
5.424 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.424 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.425 * [backup-simplify]: Simplify (+ 1 0) into 1
5.425 * [backup-simplify]: Simplify (sqrt 1) into 1
5.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.427 * [backup-simplify]: Simplify (+ 0 0) into 0
5.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.428 * [taylor]: Taking taylor expansion of 1 in im
5.428 * [backup-simplify]: Simplify 1 into 1
5.428 * [taylor]: Taking taylor expansion of 0 in im
5.428 * [backup-simplify]: Simplify 0 into 0
5.428 * [backup-simplify]: Simplify 1 into 1
5.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.430 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.432 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.432 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.432 * [taylor]: Taking taylor expansion of 1/2 in im
5.432 * [backup-simplify]: Simplify 1/2 into 1/2
5.432 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.432 * [taylor]: Taking taylor expansion of im in im
5.432 * [backup-simplify]: Simplify 0 into 0
5.432 * [backup-simplify]: Simplify 1 into 1
5.432 * [backup-simplify]: Simplify (* 1 1) into 1
5.433 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.434 * [backup-simplify]: Simplify 0 into 0
5.434 * [backup-simplify]: Simplify 0 into 0
5.434 * [backup-simplify]: Simplify 0 into 0
5.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.437 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.437 * [backup-simplify]: Simplify (+ 0 0) into 0
5.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.438 * [taylor]: Taking taylor expansion of 0 in im
5.438 * [backup-simplify]: Simplify 0 into 0
5.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.439 * [backup-simplify]: Simplify 0 into 0
5.439 * [backup-simplify]: Simplify 0 into 0
5.439 * [backup-simplify]: Simplify 0 into 0
5.439 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.440 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.440 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.440 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.440 * [taylor]: Taking taylor expansion of re in im
5.440 * [backup-simplify]: Simplify re into re
5.440 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.440 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.440 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.440 * [taylor]: Taking taylor expansion of im in im
5.440 * [backup-simplify]: Simplify 0 into 0
5.440 * [backup-simplify]: Simplify 1 into 1
5.440 * [backup-simplify]: Simplify (* 1 1) into 1
5.440 * [backup-simplify]: Simplify (/ 1 1) into 1
5.441 * [backup-simplify]: Simplify (+ 0 1) into 1
5.441 * [backup-simplify]: Simplify (sqrt 1) into 1
5.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.442 * [backup-simplify]: Simplify (+ 0 0) into 0
5.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.443 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.443 * [taylor]: Taking taylor expansion of re in re
5.443 * [backup-simplify]: Simplify 0 into 0
5.443 * [backup-simplify]: Simplify 1 into 1
5.443 * [backup-simplify]: Simplify (* 1 1) into 1
5.443 * [backup-simplify]: Simplify (/ 1 1) into 1
5.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.443 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.443 * [taylor]: Taking taylor expansion of im in re
5.443 * [backup-simplify]: Simplify im into im
5.443 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.444 * [backup-simplify]: Simplify (+ 1 0) into 1
5.444 * [backup-simplify]: Simplify (sqrt 1) into 1
5.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.445 * [backup-simplify]: Simplify (+ 0 0) into 0
5.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.445 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.445 * [taylor]: Taking taylor expansion of re in re
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [backup-simplify]: Simplify 1 into 1
5.446 * [backup-simplify]: Simplify (* 1 1) into 1
5.446 * [backup-simplify]: Simplify (/ 1 1) into 1
5.446 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.446 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.446 * [taylor]: Taking taylor expansion of im in re
5.446 * [backup-simplify]: Simplify im into im
5.446 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.446 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.446 * [backup-simplify]: Simplify (+ 1 0) into 1
5.447 * [backup-simplify]: Simplify (sqrt 1) into 1
5.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.448 * [backup-simplify]: Simplify (+ 0 0) into 0
5.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.448 * [taylor]: Taking taylor expansion of 1 in im
5.448 * [backup-simplify]: Simplify 1 into 1
5.448 * [taylor]: Taking taylor expansion of 0 in im
5.448 * [backup-simplify]: Simplify 0 into 0
5.448 * [backup-simplify]: Simplify 1 into 1
5.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.449 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.450 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.450 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.450 * [taylor]: Taking taylor expansion of 1/2 in im
5.450 * [backup-simplify]: Simplify 1/2 into 1/2
5.450 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.450 * [taylor]: Taking taylor expansion of im in im
5.450 * [backup-simplify]: Simplify 0 into 0
5.450 * [backup-simplify]: Simplify 1 into 1
5.451 * [backup-simplify]: Simplify (* 1 1) into 1
5.451 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.452 * [backup-simplify]: Simplify 0 into 0
5.452 * [backup-simplify]: Simplify 0 into 0
5.452 * [backup-simplify]: Simplify 0 into 0
5.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.453 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.454 * [backup-simplify]: Simplify (+ 0 0) into 0
5.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.454 * [taylor]: Taking taylor expansion of 0 in im
5.454 * [backup-simplify]: Simplify 0 into 0
5.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.455 * [backup-simplify]: Simplify 0 into 0
5.455 * [backup-simplify]: Simplify 0 into 0
5.455 * [backup-simplify]: Simplify 0 into 0
5.455 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.455 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
5.456 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.456 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.456 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.456 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.456 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.456 * [taylor]: Taking taylor expansion of im in im
5.456 * [backup-simplify]: Simplify 0 into 0
5.456 * [backup-simplify]: Simplify 1 into 1
5.456 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.456 * [taylor]: Taking taylor expansion of re in im
5.456 * [backup-simplify]: Simplify re into re
5.456 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.456 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.456 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.456 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.456 * [backup-simplify]: Simplify (+ 0 0) into 0
5.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.456 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.456 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.456 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.456 * [taylor]: Taking taylor expansion of im in re
5.456 * [backup-simplify]: Simplify im into im
5.457 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.457 * [taylor]: Taking taylor expansion of re in re
5.457 * [backup-simplify]: Simplify 0 into 0
5.457 * [backup-simplify]: Simplify 1 into 1
5.457 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.457 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.457 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.457 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.457 * [backup-simplify]: Simplify (+ 0 0) into 0
5.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.457 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.457 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.457 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.457 * [taylor]: Taking taylor expansion of im in re
5.457 * [backup-simplify]: Simplify im into im
5.457 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.457 * [taylor]: Taking taylor expansion of re in re
5.457 * [backup-simplify]: Simplify 0 into 0
5.457 * [backup-simplify]: Simplify 1 into 1
5.457 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.458 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.458 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.458 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.458 * [backup-simplify]: Simplify (+ 0 0) into 0
5.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.458 * [taylor]: Taking taylor expansion of im in im
5.458 * [backup-simplify]: Simplify 0 into 0
5.458 * [backup-simplify]: Simplify 1 into 1
5.458 * [backup-simplify]: Simplify 0 into 0
5.458 * [taylor]: Taking taylor expansion of 0 in im
5.458 * [backup-simplify]: Simplify 0 into 0
5.458 * [backup-simplify]: Simplify 0 into 0
5.458 * [backup-simplify]: Simplify 1 into 1
5.459 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.459 * [backup-simplify]: Simplify (* 1 1) into 1
5.459 * [backup-simplify]: Simplify (+ 0 1) into 1
5.460 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.460 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.460 * [taylor]: Taking taylor expansion of 1/2 in im
5.460 * [backup-simplify]: Simplify 1/2 into 1/2
5.460 * [taylor]: Taking taylor expansion of im in im
5.460 * [backup-simplify]: Simplify 0 into 0
5.460 * [backup-simplify]: Simplify 1 into 1
5.460 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.461 * [backup-simplify]: Simplify 0 into 0
5.461 * [backup-simplify]: Simplify 0 into 0
5.461 * [backup-simplify]: Simplify 0 into 0
5.461 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.462 * [backup-simplify]: Simplify (+ 0 0) into 0
5.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.462 * [taylor]: Taking taylor expansion of 0 in im
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.463 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.463 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.463 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.463 * [taylor]: Taking taylor expansion of re in im
5.463 * [backup-simplify]: Simplify re into re
5.463 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.463 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.463 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.463 * [taylor]: Taking taylor expansion of im in im
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 1 into 1
5.463 * [backup-simplify]: Simplify (* 1 1) into 1
5.464 * [backup-simplify]: Simplify (/ 1 1) into 1
5.464 * [backup-simplify]: Simplify (+ 0 1) into 1
5.464 * [backup-simplify]: Simplify (sqrt 1) into 1
5.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.465 * [backup-simplify]: Simplify (+ 0 0) into 0
5.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.466 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.466 * [taylor]: Taking taylor expansion of re in re
5.466 * [backup-simplify]: Simplify 0 into 0
5.466 * [backup-simplify]: Simplify 1 into 1
5.466 * [backup-simplify]: Simplify (* 1 1) into 1
5.466 * [backup-simplify]: Simplify (/ 1 1) into 1
5.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.466 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.466 * [taylor]: Taking taylor expansion of im in re
5.466 * [backup-simplify]: Simplify im into im
5.466 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.467 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.467 * [backup-simplify]: Simplify (+ 1 0) into 1
5.467 * [backup-simplify]: Simplify (sqrt 1) into 1
5.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.468 * [backup-simplify]: Simplify (+ 0 0) into 0
5.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.469 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.469 * [taylor]: Taking taylor expansion of re in re
5.469 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify 1 into 1
5.469 * [backup-simplify]: Simplify (* 1 1) into 1
5.469 * [backup-simplify]: Simplify (/ 1 1) into 1
5.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.469 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.469 * [taylor]: Taking taylor expansion of im in re
5.469 * [backup-simplify]: Simplify im into im
5.469 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.469 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.470 * [backup-simplify]: Simplify (+ 1 0) into 1
5.472 * [backup-simplify]: Simplify (sqrt 1) into 1
5.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.473 * [backup-simplify]: Simplify (+ 0 0) into 0
5.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.474 * [taylor]: Taking taylor expansion of 1 in im
5.474 * [backup-simplify]: Simplify 1 into 1
5.474 * [taylor]: Taking taylor expansion of 0 in im
5.474 * [backup-simplify]: Simplify 0 into 0
5.474 * [backup-simplify]: Simplify 1 into 1
5.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.475 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.476 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.476 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.476 * [taylor]: Taking taylor expansion of 1/2 in im
5.476 * [backup-simplify]: Simplify 1/2 into 1/2
5.476 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.476 * [taylor]: Taking taylor expansion of im in im
5.476 * [backup-simplify]: Simplify 0 into 0
5.476 * [backup-simplify]: Simplify 1 into 1
5.476 * [backup-simplify]: Simplify (* 1 1) into 1
5.476 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.477 * [backup-simplify]: Simplify 0 into 0
5.477 * [backup-simplify]: Simplify 0 into 0
5.477 * [backup-simplify]: Simplify 0 into 0
5.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.478 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.479 * [backup-simplify]: Simplify (+ 0 0) into 0
5.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.479 * [taylor]: Taking taylor expansion of 0 in im
5.479 * [backup-simplify]: Simplify 0 into 0
5.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.481 * [backup-simplify]: Simplify 0 into 0
5.481 * [backup-simplify]: Simplify 0 into 0
5.481 * [backup-simplify]: Simplify 0 into 0
5.481 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.481 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.481 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.481 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.481 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.481 * [taylor]: Taking taylor expansion of re in im
5.481 * [backup-simplify]: Simplify re into re
5.481 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.481 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.481 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.481 * [taylor]: Taking taylor expansion of im in im
5.481 * [backup-simplify]: Simplify 0 into 0
5.481 * [backup-simplify]: Simplify 1 into 1
5.481 * [backup-simplify]: Simplify (* 1 1) into 1
5.482 * [backup-simplify]: Simplify (/ 1 1) into 1
5.482 * [backup-simplify]: Simplify (+ 0 1) into 1
5.482 * [backup-simplify]: Simplify (sqrt 1) into 1
5.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.484 * [backup-simplify]: Simplify (+ 0 0) into 0
5.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.485 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.485 * [taylor]: Taking taylor expansion of re in re
5.485 * [backup-simplify]: Simplify 0 into 0
5.485 * [backup-simplify]: Simplify 1 into 1
5.485 * [backup-simplify]: Simplify (* 1 1) into 1
5.485 * [backup-simplify]: Simplify (/ 1 1) into 1
5.485 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.485 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.485 * [taylor]: Taking taylor expansion of im in re
5.486 * [backup-simplify]: Simplify im into im
5.486 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.486 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.486 * [backup-simplify]: Simplify (+ 1 0) into 1
5.487 * [backup-simplify]: Simplify (sqrt 1) into 1
5.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.489 * [backup-simplify]: Simplify (+ 0 0) into 0
5.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.489 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.489 * [taylor]: Taking taylor expansion of re in re
5.489 * [backup-simplify]: Simplify 0 into 0
5.489 * [backup-simplify]: Simplify 1 into 1
5.490 * [backup-simplify]: Simplify (* 1 1) into 1
5.490 * [backup-simplify]: Simplify (/ 1 1) into 1
5.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.490 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.490 * [taylor]: Taking taylor expansion of im in re
5.490 * [backup-simplify]: Simplify im into im
5.490 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.491 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.491 * [backup-simplify]: Simplify (+ 1 0) into 1
5.492 * [backup-simplify]: Simplify (sqrt 1) into 1
5.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.493 * [backup-simplify]: Simplify (+ 0 0) into 0
5.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.494 * [taylor]: Taking taylor expansion of 1 in im
5.494 * [backup-simplify]: Simplify 1 into 1
5.494 * [taylor]: Taking taylor expansion of 0 in im
5.494 * [backup-simplify]: Simplify 0 into 0
5.494 * [backup-simplify]: Simplify 1 into 1
5.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.496 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.498 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.498 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.498 * [taylor]: Taking taylor expansion of 1/2 in im
5.498 * [backup-simplify]: Simplify 1/2 into 1/2
5.498 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.498 * [taylor]: Taking taylor expansion of im in im
5.498 * [backup-simplify]: Simplify 0 into 0
5.498 * [backup-simplify]: Simplify 1 into 1
5.498 * [backup-simplify]: Simplify (* 1 1) into 1
5.499 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.500 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.501 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.501 * [backup-simplify]: Simplify (+ 0 0) into 0
5.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.502 * [taylor]: Taking taylor expansion of 0 in im
5.502 * [backup-simplify]: Simplify 0 into 0
5.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.503 * [backup-simplify]: Simplify 0 into 0
5.503 * [backup-simplify]: Simplify 0 into 0
5.503 * [backup-simplify]: Simplify 0 into 0
5.503 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.503 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1)
5.503 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.503 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.503 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.503 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.503 * [taylor]: Taking taylor expansion of im in im
5.503 * [backup-simplify]: Simplify 0 into 0
5.503 * [backup-simplify]: Simplify 1 into 1
5.503 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.503 * [taylor]: Taking taylor expansion of re in im
5.503 * [backup-simplify]: Simplify re into re
5.503 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.503 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.504 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.504 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.504 * [backup-simplify]: Simplify (+ 0 0) into 0
5.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.504 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.504 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.504 * [taylor]: Taking taylor expansion of im in re
5.504 * [backup-simplify]: Simplify im into im
5.504 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.504 * [taylor]: Taking taylor expansion of re in re
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify 1 into 1
5.504 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.504 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.504 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.504 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.505 * [backup-simplify]: Simplify (+ 0 0) into 0
5.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.505 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.505 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.505 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.505 * [taylor]: Taking taylor expansion of im in re
5.505 * [backup-simplify]: Simplify im into im
5.505 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.505 * [taylor]: Taking taylor expansion of re in re
5.505 * [backup-simplify]: Simplify 0 into 0
5.505 * [backup-simplify]: Simplify 1 into 1
5.505 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.505 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.505 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.505 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.505 * [backup-simplify]: Simplify (+ 0 0) into 0
5.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.506 * [taylor]: Taking taylor expansion of im in im
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify 1 into 1
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [taylor]: Taking taylor expansion of 0 in im
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify 1 into 1
5.506 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.506 * [backup-simplify]: Simplify (* 1 1) into 1
5.506 * [backup-simplify]: Simplify (+ 0 1) into 1
5.507 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.507 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.507 * [taylor]: Taking taylor expansion of 1/2 in im
5.507 * [backup-simplify]: Simplify 1/2 into 1/2
5.507 * [taylor]: Taking taylor expansion of im in im
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.508 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.509 * [backup-simplify]: Simplify (+ 0 0) into 0
5.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.509 * [taylor]: Taking taylor expansion of 0 in im
5.509 * [backup-simplify]: Simplify 0 into 0
5.509 * [backup-simplify]: Simplify 0 into 0
5.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.510 * [backup-simplify]: Simplify 0 into 0
5.510 * [backup-simplify]: Simplify 0 into 0
5.510 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.510 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.510 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.510 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.510 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.510 * [taylor]: Taking taylor expansion of re in im
5.510 * [backup-simplify]: Simplify re into re
5.510 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.510 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.510 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.510 * [taylor]: Taking taylor expansion of im in im
5.510 * [backup-simplify]: Simplify 0 into 0
5.510 * [backup-simplify]: Simplify 1 into 1
5.511 * [backup-simplify]: Simplify (* 1 1) into 1
5.511 * [backup-simplify]: Simplify (/ 1 1) into 1
5.511 * [backup-simplify]: Simplify (+ 0 1) into 1
5.511 * [backup-simplify]: Simplify (sqrt 1) into 1
5.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.512 * [backup-simplify]: Simplify (+ 0 0) into 0
5.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.513 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.513 * [taylor]: Taking taylor expansion of re in re
5.513 * [backup-simplify]: Simplify 0 into 0
5.513 * [backup-simplify]: Simplify 1 into 1
5.513 * [backup-simplify]: Simplify (* 1 1) into 1
5.513 * [backup-simplify]: Simplify (/ 1 1) into 1
5.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.513 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.514 * [taylor]: Taking taylor expansion of im in re
5.514 * [backup-simplify]: Simplify im into im
5.514 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.514 * [backup-simplify]: Simplify (+ 1 0) into 1
5.514 * [backup-simplify]: Simplify (sqrt 1) into 1
5.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.515 * [backup-simplify]: Simplify (+ 0 0) into 0
5.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.516 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.516 * [taylor]: Taking taylor expansion of re in re
5.516 * [backup-simplify]: Simplify 0 into 0
5.516 * [backup-simplify]: Simplify 1 into 1
5.516 * [backup-simplify]: Simplify (* 1 1) into 1
5.516 * [backup-simplify]: Simplify (/ 1 1) into 1
5.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.516 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.516 * [taylor]: Taking taylor expansion of im in re
5.516 * [backup-simplify]: Simplify im into im
5.516 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.516 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.517 * [backup-simplify]: Simplify (+ 1 0) into 1
5.517 * [backup-simplify]: Simplify (sqrt 1) into 1
5.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.518 * [backup-simplify]: Simplify (+ 0 0) into 0
5.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.519 * [taylor]: Taking taylor expansion of 1 in im
5.519 * [backup-simplify]: Simplify 1 into 1
5.519 * [taylor]: Taking taylor expansion of 0 in im
5.519 * [backup-simplify]: Simplify 0 into 0
5.519 * [backup-simplify]: Simplify 1 into 1
5.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.521 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.522 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.522 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.522 * [taylor]: Taking taylor expansion of 1/2 in im
5.523 * [backup-simplify]: Simplify 1/2 into 1/2
5.523 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.523 * [taylor]: Taking taylor expansion of im in im
5.523 * [backup-simplify]: Simplify 0 into 0
5.523 * [backup-simplify]: Simplify 1 into 1
5.523 * [backup-simplify]: Simplify (* 1 1) into 1
5.523 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.525 * [backup-simplify]: Simplify 0 into 0
5.525 * [backup-simplify]: Simplify 0 into 0
5.525 * [backup-simplify]: Simplify 0 into 0
5.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.528 * [backup-simplify]: Simplify (+ 0 0) into 0
5.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.529 * [taylor]: Taking taylor expansion of 0 in im
5.529 * [backup-simplify]: Simplify 0 into 0
5.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.531 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.532 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.532 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.532 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.532 * [taylor]: Taking taylor expansion of re in im
5.532 * [backup-simplify]: Simplify re into re
5.532 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.532 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.532 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.532 * [taylor]: Taking taylor expansion of im in im
5.532 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify 1 into 1
5.532 * [backup-simplify]: Simplify (* 1 1) into 1
5.533 * [backup-simplify]: Simplify (/ 1 1) into 1
5.533 * [backup-simplify]: Simplify (+ 0 1) into 1
5.534 * [backup-simplify]: Simplify (sqrt 1) into 1
5.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.535 * [backup-simplify]: Simplify (+ 0 0) into 0
5.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.536 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.536 * [taylor]: Taking taylor expansion of re in re
5.536 * [backup-simplify]: Simplify 0 into 0
5.536 * [backup-simplify]: Simplify 1 into 1
5.537 * [backup-simplify]: Simplify (* 1 1) into 1
5.537 * [backup-simplify]: Simplify (/ 1 1) into 1
5.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.537 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.537 * [taylor]: Taking taylor expansion of im in re
5.537 * [backup-simplify]: Simplify im into im
5.537 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.537 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.538 * [backup-simplify]: Simplify (+ 1 0) into 1
5.538 * [backup-simplify]: Simplify (sqrt 1) into 1
5.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.540 * [backup-simplify]: Simplify (+ 0 0) into 0
5.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.541 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.541 * [taylor]: Taking taylor expansion of re in re
5.541 * [backup-simplify]: Simplify 0 into 0
5.541 * [backup-simplify]: Simplify 1 into 1
5.541 * [backup-simplify]: Simplify (* 1 1) into 1
5.542 * [backup-simplify]: Simplify (/ 1 1) into 1
5.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.542 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.542 * [taylor]: Taking taylor expansion of im in re
5.542 * [backup-simplify]: Simplify im into im
5.542 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.542 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.543 * [backup-simplify]: Simplify (+ 1 0) into 1
5.543 * [backup-simplify]: Simplify (sqrt 1) into 1
5.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.545 * [backup-simplify]: Simplify (+ 0 0) into 0
5.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.546 * [taylor]: Taking taylor expansion of 1 in im
5.546 * [backup-simplify]: Simplify 1 into 1
5.546 * [taylor]: Taking taylor expansion of 0 in im
5.546 * [backup-simplify]: Simplify 0 into 0
5.546 * [backup-simplify]: Simplify 1 into 1
5.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.548 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.549 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.549 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.549 * [taylor]: Taking taylor expansion of 1/2 in im
5.549 * [backup-simplify]: Simplify 1/2 into 1/2
5.549 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.549 * [taylor]: Taking taylor expansion of im in im
5.549 * [backup-simplify]: Simplify 0 into 0
5.550 * [backup-simplify]: Simplify 1 into 1
5.550 * [backup-simplify]: Simplify (* 1 1) into 1
5.550 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.552 * [backup-simplify]: Simplify 0 into 0
5.552 * [backup-simplify]: Simplify 0 into 0
5.552 * [backup-simplify]: Simplify 0 into 0
5.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.555 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.555 * [backup-simplify]: Simplify (+ 0 0) into 0
5.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.556 * [taylor]: Taking taylor expansion of 0 in im
5.556 * [backup-simplify]: Simplify 0 into 0
5.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.558 * [backup-simplify]: Simplify 0 into 0
5.558 * [backup-simplify]: Simplify 0 into 0
5.558 * [backup-simplify]: Simplify 0 into 0
5.558 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.558 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
5.559 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.559 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.559 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.559 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.559 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.559 * [taylor]: Taking taylor expansion of im in im
5.559 * [backup-simplify]: Simplify 0 into 0
5.559 * [backup-simplify]: Simplify 1 into 1
5.559 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.559 * [taylor]: Taking taylor expansion of re in im
5.559 * [backup-simplify]: Simplify re into re
5.559 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.559 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.559 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.559 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.560 * [backup-simplify]: Simplify (+ 0 0) into 0
5.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.560 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.560 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.560 * [taylor]: Taking taylor expansion of im in re
5.560 * [backup-simplify]: Simplify im into im
5.560 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.560 * [taylor]: Taking taylor expansion of re in re
5.560 * [backup-simplify]: Simplify 0 into 0
5.560 * [backup-simplify]: Simplify 1 into 1
5.560 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.560 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.561 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.561 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.561 * [backup-simplify]: Simplify (+ 0 0) into 0
5.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.561 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.561 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.561 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.561 * [taylor]: Taking taylor expansion of im in re
5.561 * [backup-simplify]: Simplify im into im
5.562 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.562 * [taylor]: Taking taylor expansion of re in re
5.562 * [backup-simplify]: Simplify 0 into 0
5.562 * [backup-simplify]: Simplify 1 into 1
5.562 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.562 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.562 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.562 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.562 * [backup-simplify]: Simplify (+ 0 0) into 0
5.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.563 * [taylor]: Taking taylor expansion of im in im
5.563 * [backup-simplify]: Simplify 0 into 0
5.563 * [backup-simplify]: Simplify 1 into 1
5.563 * [backup-simplify]: Simplify 0 into 0
5.563 * [taylor]: Taking taylor expansion of 0 in im
5.563 * [backup-simplify]: Simplify 0 into 0
5.563 * [backup-simplify]: Simplify 0 into 0
5.563 * [backup-simplify]: Simplify 1 into 1
5.563 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.564 * [backup-simplify]: Simplify (* 1 1) into 1
5.564 * [backup-simplify]: Simplify (+ 0 1) into 1
5.565 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.565 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.565 * [taylor]: Taking taylor expansion of 1/2 in im
5.565 * [backup-simplify]: Simplify 1/2 into 1/2
5.565 * [taylor]: Taking taylor expansion of im in im
5.565 * [backup-simplify]: Simplify 0 into 0
5.565 * [backup-simplify]: Simplify 1 into 1
5.566 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.567 * [backup-simplify]: Simplify 0 into 0
5.567 * [backup-simplify]: Simplify 0 into 0
5.567 * [backup-simplify]: Simplify 0 into 0
5.568 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.569 * [backup-simplify]: Simplify (+ 0 0) into 0
5.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.569 * [taylor]: Taking taylor expansion of 0 in im
5.569 * [backup-simplify]: Simplify 0 into 0
5.569 * [backup-simplify]: Simplify 0 into 0
5.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.570 * [backup-simplify]: Simplify 0 into 0
5.570 * [backup-simplify]: Simplify 0 into 0
5.570 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.571 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.571 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.571 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.571 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.571 * [taylor]: Taking taylor expansion of re in im
5.571 * [backup-simplify]: Simplify re into re
5.571 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.571 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.571 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.571 * [taylor]: Taking taylor expansion of im in im
5.571 * [backup-simplify]: Simplify 0 into 0
5.571 * [backup-simplify]: Simplify 1 into 1
5.572 * [backup-simplify]: Simplify (* 1 1) into 1
5.572 * [backup-simplify]: Simplify (/ 1 1) into 1
5.572 * [backup-simplify]: Simplify (+ 0 1) into 1
5.573 * [backup-simplify]: Simplify (sqrt 1) into 1
5.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.574 * [backup-simplify]: Simplify (+ 0 0) into 0
5.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.575 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.575 * [taylor]: Taking taylor expansion of re in re
5.575 * [backup-simplify]: Simplify 0 into 0
5.575 * [backup-simplify]: Simplify 1 into 1
5.576 * [backup-simplify]: Simplify (* 1 1) into 1
5.576 * [backup-simplify]: Simplify (/ 1 1) into 1
5.576 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.576 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.576 * [taylor]: Taking taylor expansion of im in re
5.576 * [backup-simplify]: Simplify im into im
5.576 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.577 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.577 * [backup-simplify]: Simplify (+ 1 0) into 1
5.577 * [backup-simplify]: Simplify (sqrt 1) into 1
5.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.579 * [backup-simplify]: Simplify (+ 0 0) into 0
5.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.580 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.580 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.580 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.580 * [taylor]: Taking taylor expansion of re in re
5.580 * [backup-simplify]: Simplify 0 into 0
5.580 * [backup-simplify]: Simplify 1 into 1
5.581 * [backup-simplify]: Simplify (* 1 1) into 1
5.581 * [backup-simplify]: Simplify (/ 1 1) into 1
5.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.581 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.581 * [taylor]: Taking taylor expansion of im in re
5.581 * [backup-simplify]: Simplify im into im
5.581 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.581 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.582 * [backup-simplify]: Simplify (+ 1 0) into 1
5.582 * [backup-simplify]: Simplify (sqrt 1) into 1
5.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.584 * [backup-simplify]: Simplify (+ 0 0) into 0
5.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.585 * [taylor]: Taking taylor expansion of 1 in im
5.585 * [backup-simplify]: Simplify 1 into 1
5.585 * [taylor]: Taking taylor expansion of 0 in im
5.585 * [backup-simplify]: Simplify 0 into 0
5.585 * [backup-simplify]: Simplify 1 into 1
5.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.587 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.589 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.589 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.589 * [taylor]: Taking taylor expansion of 1/2 in im
5.589 * [backup-simplify]: Simplify 1/2 into 1/2
5.589 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.589 * [taylor]: Taking taylor expansion of im in im
5.589 * [backup-simplify]: Simplify 0 into 0
5.589 * [backup-simplify]: Simplify 1 into 1
5.589 * [backup-simplify]: Simplify (* 1 1) into 1
5.590 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.591 * [backup-simplify]: Simplify 0 into 0
5.591 * [backup-simplify]: Simplify 0 into 0
5.591 * [backup-simplify]: Simplify 0 into 0
5.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.593 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.594 * [backup-simplify]: Simplify (+ 0 0) into 0
5.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.595 * [taylor]: Taking taylor expansion of 0 in im
5.595 * [backup-simplify]: Simplify 0 into 0
5.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.597 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.597 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.598 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.598 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.598 * [taylor]: Taking taylor expansion of re in im
5.598 * [backup-simplify]: Simplify re into re
5.598 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.598 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.598 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.598 * [taylor]: Taking taylor expansion of im in im
5.598 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify 1 into 1
5.598 * [backup-simplify]: Simplify (* 1 1) into 1
5.599 * [backup-simplify]: Simplify (/ 1 1) into 1
5.599 * [backup-simplify]: Simplify (+ 0 1) into 1
5.600 * [backup-simplify]: Simplify (sqrt 1) into 1
5.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.601 * [backup-simplify]: Simplify (+ 0 0) into 0
5.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.602 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.602 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.602 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.602 * [taylor]: Taking taylor expansion of re in re
5.602 * [backup-simplify]: Simplify 0 into 0
5.602 * [backup-simplify]: Simplify 1 into 1
5.603 * [backup-simplify]: Simplify (* 1 1) into 1
5.605 * [backup-simplify]: Simplify (/ 1 1) into 1
5.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.605 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.605 * [taylor]: Taking taylor expansion of im in re
5.605 * [backup-simplify]: Simplify im into im
5.605 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.605 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.606 * [backup-simplify]: Simplify (+ 1 0) into 1
5.606 * [backup-simplify]: Simplify (sqrt 1) into 1
5.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.607 * [backup-simplify]: Simplify (+ 0 0) into 0
5.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.608 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.608 * [taylor]: Taking taylor expansion of re in re
5.608 * [backup-simplify]: Simplify 0 into 0
5.608 * [backup-simplify]: Simplify 1 into 1
5.608 * [backup-simplify]: Simplify (* 1 1) into 1
5.608 * [backup-simplify]: Simplify (/ 1 1) into 1
5.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.608 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.608 * [taylor]: Taking taylor expansion of im in re
5.609 * [backup-simplify]: Simplify im into im
5.609 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.609 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.609 * [backup-simplify]: Simplify (+ 1 0) into 1
5.609 * [backup-simplify]: Simplify (sqrt 1) into 1
5.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.610 * [backup-simplify]: Simplify (+ 0 0) into 0
5.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.611 * [taylor]: Taking taylor expansion of 1 in im
5.611 * [backup-simplify]: Simplify 1 into 1
5.611 * [taylor]: Taking taylor expansion of 0 in im
5.611 * [backup-simplify]: Simplify 0 into 0
5.611 * [backup-simplify]: Simplify 1 into 1
5.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.612 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.613 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.613 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.613 * [taylor]: Taking taylor expansion of 1/2 in im
5.613 * [backup-simplify]: Simplify 1/2 into 1/2
5.613 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.613 * [taylor]: Taking taylor expansion of im in im
5.613 * [backup-simplify]: Simplify 0 into 0
5.613 * [backup-simplify]: Simplify 1 into 1
5.613 * [backup-simplify]: Simplify (* 1 1) into 1
5.614 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.616 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.616 * [backup-simplify]: Simplify (+ 0 0) into 0
5.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.617 * [taylor]: Taking taylor expansion of 0 in im
5.617 * [backup-simplify]: Simplify 0 into 0
5.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.618 * [backup-simplify]: Simplify 0 into 0
5.618 * [backup-simplify]: Simplify 0 into 0
5.618 * [backup-simplify]: Simplify 0 into 0
5.618 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.618 * * * [progress]: simplifying candidates
5.619 * [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))))
  (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))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
5.620 * * [simplify]: iteration 0: 38 enodes
5.626 * * [simplify]: iteration 1: 91 enodes
5.648 * * [simplify]: iteration 2: 220 enodes
5.719 * * [simplify]: iteration 3: 528 enodes
5.991 * * [simplify]: iteration 4: 1462 enodes
6.409 * * [simplify]: iteration complete: 5000 enodes
6.409 * * [simplify]: Extracting #0: cost 18 inf + 0
6.409 * * [simplify]: Extracting #1: cost 42 inf + 4
6.410 * * [simplify]: Extracting #2: cost 353 inf + 47
6.414 * * [simplify]: Extracting #3: cost 1457 inf + 1083
6.428 * * [simplify]: Extracting #4: cost 1357 inf + 90562
6.498 * * [simplify]: Extracting #5: cost 462 inf + 277192
6.605 * * [simplify]: Extracting #6: cost 139 inf + 359646
6.717 * * [simplify]: Extracting #7: cost 16 inf + 391513
6.810 * * [simplify]: Extracting #8: cost 0 inf + 396382
6.933 * [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))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* 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))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re 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))) (+ (* 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))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re 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))) (+ (* 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))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re 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))) (+ (* 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))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
6.958 * * * [progress]: adding candidates to table
7.569 * * [progress]: iteration 4 / 4
7.569 * * * [progress]: picking best candidate
7.591 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (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)))))))>
7.591 * * * [progress]: localizing error
7.702 * * * [progress]: generating rewritten candidates
7.702 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1)
7.712 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1)
7.718 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1)
7.731 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1)
7.744 * * * [progress]: generating series expansions
7.744 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1)
7.744 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.744 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.744 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.744 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.744 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.744 * [taylor]: Taking taylor expansion of im in im
7.744 * [backup-simplify]: Simplify 0 into 0
7.744 * [backup-simplify]: Simplify 1 into 1
7.744 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.744 * [taylor]: Taking taylor expansion of re in im
7.744 * [backup-simplify]: Simplify re into re
7.744 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.744 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.745 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.745 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.745 * [backup-simplify]: Simplify (+ 0 0) into 0
7.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.745 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.745 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.745 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.745 * [taylor]: Taking taylor expansion of im in re
7.745 * [backup-simplify]: Simplify im into im
7.745 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.745 * [taylor]: Taking taylor expansion of re in re
7.745 * [backup-simplify]: Simplify 0 into 0
7.745 * [backup-simplify]: Simplify 1 into 1
7.745 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.746 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.746 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.746 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.746 * [backup-simplify]: Simplify (+ 0 0) into 0
7.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.746 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.746 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.746 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.746 * [taylor]: Taking taylor expansion of im in re
7.746 * [backup-simplify]: Simplify im into im
7.746 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.746 * [taylor]: Taking taylor expansion of re in re
7.746 * [backup-simplify]: Simplify 0 into 0
7.746 * [backup-simplify]: Simplify 1 into 1
7.746 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.746 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.747 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.747 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.747 * [backup-simplify]: Simplify (+ 0 0) into 0
7.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.747 * [taylor]: Taking taylor expansion of im in im
7.747 * [backup-simplify]: Simplify 0 into 0
7.747 * [backup-simplify]: Simplify 1 into 1
7.747 * [backup-simplify]: Simplify 0 into 0
7.747 * [taylor]: Taking taylor expansion of 0 in im
7.747 * [backup-simplify]: Simplify 0 into 0
7.747 * [backup-simplify]: Simplify 0 into 0
7.747 * [backup-simplify]: Simplify 1 into 1
7.748 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.748 * [backup-simplify]: Simplify (* 1 1) into 1
7.748 * [backup-simplify]: Simplify (+ 0 1) into 1
7.748 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.749 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.749 * [taylor]: Taking taylor expansion of 1/2 in im
7.749 * [backup-simplify]: Simplify 1/2 into 1/2
7.749 * [taylor]: Taking taylor expansion of im in im
7.749 * [backup-simplify]: Simplify 0 into 0
7.749 * [backup-simplify]: Simplify 1 into 1
7.749 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.749 * [backup-simplify]: Simplify 0 into 0
7.749 * [backup-simplify]: Simplify 0 into 0
7.749 * [backup-simplify]: Simplify 0 into 0
7.750 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.751 * [backup-simplify]: Simplify (+ 0 0) into 0
7.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.751 * [taylor]: Taking taylor expansion of 0 in im
7.751 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.751 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.752 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.752 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.752 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.752 * [taylor]: Taking taylor expansion of re in im
7.752 * [backup-simplify]: Simplify re into re
7.752 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.752 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.752 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.752 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.752 * [taylor]: Taking taylor expansion of im in im
7.752 * [backup-simplify]: Simplify 0 into 0
7.752 * [backup-simplify]: Simplify 1 into 1
7.752 * [backup-simplify]: Simplify (* 1 1) into 1
7.752 * [backup-simplify]: Simplify (/ 1 1) into 1
7.753 * [backup-simplify]: Simplify (+ 0 1) into 1
7.753 * [backup-simplify]: Simplify (sqrt 1) into 1
7.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.754 * [backup-simplify]: Simplify (+ 0 0) into 0
7.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.754 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.755 * [taylor]: Taking taylor expansion of re in re
7.755 * [backup-simplify]: Simplify 0 into 0
7.755 * [backup-simplify]: Simplify 1 into 1
7.755 * [backup-simplify]: Simplify (* 1 1) into 1
7.755 * [backup-simplify]: Simplify (/ 1 1) into 1
7.755 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.755 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.755 * [taylor]: Taking taylor expansion of im in re
7.755 * [backup-simplify]: Simplify im into im
7.755 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.755 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.755 * [backup-simplify]: Simplify (+ 1 0) into 1
7.756 * [backup-simplify]: Simplify (sqrt 1) into 1
7.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.757 * [backup-simplify]: Simplify (+ 0 0) into 0
7.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.757 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.757 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.757 * [taylor]: Taking taylor expansion of re in re
7.757 * [backup-simplify]: Simplify 0 into 0
7.757 * [backup-simplify]: Simplify 1 into 1
7.758 * [backup-simplify]: Simplify (* 1 1) into 1
7.758 * [backup-simplify]: Simplify (/ 1 1) into 1
7.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.758 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.758 * [taylor]: Taking taylor expansion of im in re
7.758 * [backup-simplify]: Simplify im into im
7.758 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.758 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.758 * [backup-simplify]: Simplify (+ 1 0) into 1
7.759 * [backup-simplify]: Simplify (sqrt 1) into 1
7.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.760 * [backup-simplify]: Simplify (+ 0 0) into 0
7.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.760 * [taylor]: Taking taylor expansion of 1 in im
7.760 * [backup-simplify]: Simplify 1 into 1
7.760 * [taylor]: Taking taylor expansion of 0 in im
7.760 * [backup-simplify]: Simplify 0 into 0
7.760 * [backup-simplify]: Simplify 1 into 1
7.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.762 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.762 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.762 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.762 * [taylor]: Taking taylor expansion of 1/2 in im
7.762 * [backup-simplify]: Simplify 1/2 into 1/2
7.762 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.762 * [taylor]: Taking taylor expansion of im in im
7.762 * [backup-simplify]: Simplify 0 into 0
7.762 * [backup-simplify]: Simplify 1 into 1
7.763 * [backup-simplify]: Simplify (* 1 1) into 1
7.763 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.764 * [backup-simplify]: Simplify 0 into 0
7.764 * [backup-simplify]: Simplify 0 into 0
7.764 * [backup-simplify]: Simplify 0 into 0
7.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.765 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.765 * [backup-simplify]: Simplify (+ 0 0) into 0
7.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.766 * [taylor]: Taking taylor expansion of 0 in im
7.766 * [backup-simplify]: Simplify 0 into 0
7.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.767 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.767 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.767 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.767 * [taylor]: Taking taylor expansion of re in im
7.767 * [backup-simplify]: Simplify re into re
7.768 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.768 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.768 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.768 * [taylor]: Taking taylor expansion of im in im
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [backup-simplify]: Simplify 1 into 1
7.768 * [backup-simplify]: Simplify (* 1 1) into 1
7.768 * [backup-simplify]: Simplify (/ 1 1) into 1
7.768 * [backup-simplify]: Simplify (+ 0 1) into 1
7.769 * [backup-simplify]: Simplify (sqrt 1) into 1
7.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.770 * [backup-simplify]: Simplify (+ 0 0) into 0
7.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.770 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.770 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.770 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.770 * [taylor]: Taking taylor expansion of re in re
7.770 * [backup-simplify]: Simplify 0 into 0
7.770 * [backup-simplify]: Simplify 1 into 1
7.771 * [backup-simplify]: Simplify (* 1 1) into 1
7.771 * [backup-simplify]: Simplify (/ 1 1) into 1
7.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.771 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.771 * [taylor]: Taking taylor expansion of im in re
7.771 * [backup-simplify]: Simplify im into im
7.771 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.771 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.772 * [backup-simplify]: Simplify (+ 1 0) into 1
7.772 * [backup-simplify]: Simplify (sqrt 1) into 1
7.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.774 * [backup-simplify]: Simplify (+ 0 0) into 0
7.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.775 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.775 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.775 * [taylor]: Taking taylor expansion of re in re
7.775 * [backup-simplify]: Simplify 0 into 0
7.775 * [backup-simplify]: Simplify 1 into 1
7.775 * [backup-simplify]: Simplify (* 1 1) into 1
7.776 * [backup-simplify]: Simplify (/ 1 1) into 1
7.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.776 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.776 * [taylor]: Taking taylor expansion of im in re
7.776 * [backup-simplify]: Simplify im into im
7.776 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.776 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.777 * [backup-simplify]: Simplify (+ 1 0) into 1
7.777 * [backup-simplify]: Simplify (sqrt 1) into 1
7.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.779 * [backup-simplify]: Simplify (+ 0 0) into 0
7.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.780 * [taylor]: Taking taylor expansion of 1 in im
7.780 * [backup-simplify]: Simplify 1 into 1
7.780 * [taylor]: Taking taylor expansion of 0 in im
7.780 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify 1 into 1
7.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.782 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.784 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.784 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.784 * [taylor]: Taking taylor expansion of 1/2 in im
7.784 * [backup-simplify]: Simplify 1/2 into 1/2
7.784 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.784 * [taylor]: Taking taylor expansion of im in im
7.784 * [backup-simplify]: Simplify 0 into 0
7.784 * [backup-simplify]: Simplify 1 into 1
7.784 * [backup-simplify]: Simplify (* 1 1) into 1
7.785 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.786 * [backup-simplify]: Simplify 0 into 0
7.787 * [backup-simplify]: Simplify 0 into 0
7.787 * [backup-simplify]: Simplify 0 into 0
7.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.789 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.789 * [backup-simplify]: Simplify (+ 0 0) into 0
7.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.790 * [taylor]: Taking taylor expansion of 0 in im
7.790 * [backup-simplify]: Simplify 0 into 0
7.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.792 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1)
7.793 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.793 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.793 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.793 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.793 * [taylor]: Taking taylor expansion of im in im
7.793 * [backup-simplify]: Simplify 0 into 0
7.793 * [backup-simplify]: Simplify 1 into 1
7.793 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.793 * [taylor]: Taking taylor expansion of re in im
7.793 * [backup-simplify]: Simplify re into re
7.793 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.793 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.793 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.794 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.794 * [backup-simplify]: Simplify (+ 0 0) into 0
7.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.794 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.794 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.794 * [taylor]: Taking taylor expansion of im in re
7.794 * [backup-simplify]: Simplify im into im
7.794 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.794 * [taylor]: Taking taylor expansion of re in re
7.794 * [backup-simplify]: Simplify 0 into 0
7.794 * [backup-simplify]: Simplify 1 into 1
7.794 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.795 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.795 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.795 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.795 * [backup-simplify]: Simplify (+ 0 0) into 0
7.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.795 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.795 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.795 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.796 * [taylor]: Taking taylor expansion of im in re
7.796 * [backup-simplify]: Simplify im into im
7.796 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.796 * [taylor]: Taking taylor expansion of re in re
7.796 * [backup-simplify]: Simplify 0 into 0
7.796 * [backup-simplify]: Simplify 1 into 1
7.796 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.796 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.796 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.796 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.796 * [backup-simplify]: Simplify (+ 0 0) into 0
7.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.797 * [taylor]: Taking taylor expansion of im in im
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 1 into 1
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [taylor]: Taking taylor expansion of 0 in im
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 1 into 1
7.797 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.798 * [backup-simplify]: Simplify (* 1 1) into 1
7.798 * [backup-simplify]: Simplify (+ 0 1) into 1
7.799 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.799 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.799 * [taylor]: Taking taylor expansion of 1/2 in im
7.799 * [backup-simplify]: Simplify 1/2 into 1/2
7.799 * [taylor]: Taking taylor expansion of im in im
7.799 * [backup-simplify]: Simplify 0 into 0
7.799 * [backup-simplify]: Simplify 1 into 1
7.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.800 * [backup-simplify]: Simplify 0 into 0
7.800 * [backup-simplify]: Simplify 0 into 0
7.800 * [backup-simplify]: Simplify 0 into 0
7.800 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.801 * [backup-simplify]: Simplify (+ 0 0) into 0
7.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.801 * [taylor]: Taking taylor expansion of 0 in im
7.801 * [backup-simplify]: Simplify 0 into 0
7.801 * [backup-simplify]: Simplify 0 into 0
7.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.802 * [backup-simplify]: Simplify 0 into 0
7.802 * [backup-simplify]: Simplify 0 into 0
7.802 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.802 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.802 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.802 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.802 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.802 * [taylor]: Taking taylor expansion of re in im
7.802 * [backup-simplify]: Simplify re into re
7.802 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.802 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.802 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.802 * [taylor]: Taking taylor expansion of im in im
7.802 * [backup-simplify]: Simplify 0 into 0
7.802 * [backup-simplify]: Simplify 1 into 1
7.802 * [backup-simplify]: Simplify (* 1 1) into 1
7.803 * [backup-simplify]: Simplify (/ 1 1) into 1
7.803 * [backup-simplify]: Simplify (+ 0 1) into 1
7.803 * [backup-simplify]: Simplify (sqrt 1) into 1
7.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.804 * [backup-simplify]: Simplify (+ 0 0) into 0
7.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.805 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.805 * [taylor]: Taking taylor expansion of re in re
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify 1 into 1
7.805 * [backup-simplify]: Simplify (* 1 1) into 1
7.805 * [backup-simplify]: Simplify (/ 1 1) into 1
7.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.805 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.805 * [taylor]: Taking taylor expansion of im in re
7.805 * [backup-simplify]: Simplify im into im
7.805 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.806 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.806 * [backup-simplify]: Simplify (+ 1 0) into 1
7.806 * [backup-simplify]: Simplify (sqrt 1) into 1
7.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.807 * [backup-simplify]: Simplify (+ 0 0) into 0
7.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.808 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.808 * [taylor]: Taking taylor expansion of re in re
7.808 * [backup-simplify]: Simplify 0 into 0
7.808 * [backup-simplify]: Simplify 1 into 1
7.808 * [backup-simplify]: Simplify (* 1 1) into 1
7.808 * [backup-simplify]: Simplify (/ 1 1) into 1
7.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.808 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.808 * [taylor]: Taking taylor expansion of im in re
7.808 * [backup-simplify]: Simplify im into im
7.808 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.808 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.809 * [backup-simplify]: Simplify (+ 1 0) into 1
7.809 * [backup-simplify]: Simplify (sqrt 1) into 1
7.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.810 * [backup-simplify]: Simplify (+ 0 0) into 0
7.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.811 * [taylor]: Taking taylor expansion of 1 in im
7.811 * [backup-simplify]: Simplify 1 into 1
7.811 * [taylor]: Taking taylor expansion of 0 in im
7.811 * [backup-simplify]: Simplify 0 into 0
7.811 * [backup-simplify]: Simplify 1 into 1
7.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.815 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.816 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.816 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.816 * [taylor]: Taking taylor expansion of 1/2 in im
7.816 * [backup-simplify]: Simplify 1/2 into 1/2
7.816 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.816 * [taylor]: Taking taylor expansion of im in im
7.816 * [backup-simplify]: Simplify 0 into 0
7.816 * [backup-simplify]: Simplify 1 into 1
7.816 * [backup-simplify]: Simplify (* 1 1) into 1
7.816 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.817 * [backup-simplify]: Simplify 0 into 0
7.817 * [backup-simplify]: Simplify 0 into 0
7.818 * [backup-simplify]: Simplify 0 into 0
7.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.819 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.819 * [backup-simplify]: Simplify (+ 0 0) into 0
7.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.820 * [taylor]: Taking taylor expansion of 0 in im
7.820 * [backup-simplify]: Simplify 0 into 0
7.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.821 * [backup-simplify]: Simplify 0 into 0
7.821 * [backup-simplify]: Simplify 0 into 0
7.821 * [backup-simplify]: Simplify 0 into 0
7.821 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.821 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.821 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.821 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.821 * [taylor]: Taking taylor expansion of re in im
7.821 * [backup-simplify]: Simplify re into re
7.821 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.821 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.821 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.821 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.821 * [taylor]: Taking taylor expansion of im in im
7.821 * [backup-simplify]: Simplify 0 into 0
7.821 * [backup-simplify]: Simplify 1 into 1
7.822 * [backup-simplify]: Simplify (* 1 1) into 1
7.822 * [backup-simplify]: Simplify (/ 1 1) into 1
7.822 * [backup-simplify]: Simplify (+ 0 1) into 1
7.822 * [backup-simplify]: Simplify (sqrt 1) into 1
7.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.824 * [backup-simplify]: Simplify (+ 0 0) into 0
7.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.824 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.824 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.824 * [taylor]: Taking taylor expansion of re in re
7.824 * [backup-simplify]: Simplify 0 into 0
7.824 * [backup-simplify]: Simplify 1 into 1
7.824 * [backup-simplify]: Simplify (* 1 1) into 1
7.825 * [backup-simplify]: Simplify (/ 1 1) into 1
7.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.825 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.825 * [taylor]: Taking taylor expansion of im in re
7.825 * [backup-simplify]: Simplify im into im
7.825 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.825 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.825 * [backup-simplify]: Simplify (+ 1 0) into 1
7.825 * [backup-simplify]: Simplify (sqrt 1) into 1
7.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.826 * [backup-simplify]: Simplify (+ 0 0) into 0
7.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.827 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.827 * [taylor]: Taking taylor expansion of re in re
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [backup-simplify]: Simplify (* 1 1) into 1
7.827 * [backup-simplify]: Simplify (/ 1 1) into 1
7.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.827 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.827 * [taylor]: Taking taylor expansion of im in re
7.827 * [backup-simplify]: Simplify im into im
7.828 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.828 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.828 * [backup-simplify]: Simplify (+ 1 0) into 1
7.828 * [backup-simplify]: Simplify (sqrt 1) into 1
7.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.829 * [backup-simplify]: Simplify (+ 0 0) into 0
7.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.830 * [taylor]: Taking taylor expansion of 1 in im
7.830 * [backup-simplify]: Simplify 1 into 1
7.830 * [taylor]: Taking taylor expansion of 0 in im
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 1 into 1
7.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.831 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.833 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.833 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.833 * [taylor]: Taking taylor expansion of 1/2 in im
7.833 * [backup-simplify]: Simplify 1/2 into 1/2
7.833 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.833 * [taylor]: Taking taylor expansion of im in im
7.833 * [backup-simplify]: Simplify 0 into 0
7.833 * [backup-simplify]: Simplify 1 into 1
7.833 * [backup-simplify]: Simplify (* 1 1) into 1
7.834 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.835 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify 0 into 0
7.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.837 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.838 * [backup-simplify]: Simplify (+ 0 0) into 0
7.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.839 * [taylor]: Taking taylor expansion of 0 in im
7.839 * [backup-simplify]: Simplify 0 into 0
7.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.841 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1)
7.841 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.841 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.842 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.842 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.842 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.842 * [taylor]: Taking taylor expansion of im in im
7.842 * [backup-simplify]: Simplify 0 into 0
7.842 * [backup-simplify]: Simplify 1 into 1
7.842 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.842 * [taylor]: Taking taylor expansion of re in im
7.842 * [backup-simplify]: Simplify re into re
7.842 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.842 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.842 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.842 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.843 * [backup-simplify]: Simplify (+ 0 0) into 0
7.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.843 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.843 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.843 * [taylor]: Taking taylor expansion of im in re
7.843 * [backup-simplify]: Simplify im into im
7.843 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.843 * [taylor]: Taking taylor expansion of re in re
7.843 * [backup-simplify]: Simplify 0 into 0
7.843 * [backup-simplify]: Simplify 1 into 1
7.843 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.843 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.843 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.843 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.844 * [backup-simplify]: Simplify (+ 0 0) into 0
7.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.844 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.844 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.844 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.844 * [taylor]: Taking taylor expansion of im in re
7.844 * [backup-simplify]: Simplify im into im
7.844 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.844 * [taylor]: Taking taylor expansion of re in re
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [backup-simplify]: Simplify 1 into 1
7.844 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.844 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.845 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.845 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.845 * [backup-simplify]: Simplify (+ 0 0) into 0
7.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.845 * [taylor]: Taking taylor expansion of im in im
7.845 * [backup-simplify]: Simplify 0 into 0
7.845 * [backup-simplify]: Simplify 1 into 1
7.845 * [backup-simplify]: Simplify 0 into 0
7.845 * [taylor]: Taking taylor expansion of 0 in im
7.845 * [backup-simplify]: Simplify 0 into 0
7.845 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify 1 into 1
7.846 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.846 * [backup-simplify]: Simplify (* 1 1) into 1
7.847 * [backup-simplify]: Simplify (+ 0 1) into 1
7.848 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.848 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.848 * [taylor]: Taking taylor expansion of 1/2 in im
7.848 * [backup-simplify]: Simplify 1/2 into 1/2
7.848 * [taylor]: Taking taylor expansion of im in im
7.848 * [backup-simplify]: Simplify 0 into 0
7.848 * [backup-simplify]: Simplify 1 into 1
7.848 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 0 into 0
7.850 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.851 * [backup-simplify]: Simplify (+ 0 0) into 0
7.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.851 * [taylor]: Taking taylor expansion of 0 in im
7.851 * [backup-simplify]: Simplify 0 into 0
7.851 * [backup-simplify]: Simplify 0 into 0
7.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.852 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.853 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.853 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.853 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.853 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.853 * [taylor]: Taking taylor expansion of re in im
7.853 * [backup-simplify]: Simplify re into re
7.853 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.853 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.853 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.853 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.853 * [taylor]: Taking taylor expansion of im in im
7.853 * [backup-simplify]: Simplify 0 into 0
7.854 * [backup-simplify]: Simplify 1 into 1
7.854 * [backup-simplify]: Simplify (* 1 1) into 1
7.854 * [backup-simplify]: Simplify (/ 1 1) into 1
7.855 * [backup-simplify]: Simplify (+ 0 1) into 1
7.855 * [backup-simplify]: Simplify (sqrt 1) into 1
7.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.857 * [backup-simplify]: Simplify (+ 0 0) into 0
7.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.858 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.858 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.858 * [taylor]: Taking taylor expansion of re in re
7.858 * [backup-simplify]: Simplify 0 into 0
7.858 * [backup-simplify]: Simplify 1 into 1
7.858 * [backup-simplify]: Simplify (* 1 1) into 1
7.858 * [backup-simplify]: Simplify (/ 1 1) into 1
7.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.858 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.858 * [taylor]: Taking taylor expansion of im in re
7.859 * [backup-simplify]: Simplify im into im
7.859 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.859 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.859 * [backup-simplify]: Simplify (+ 1 0) into 1
7.860 * [backup-simplify]: Simplify (sqrt 1) into 1
7.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.862 * [backup-simplify]: Simplify (+ 0 0) into 0
7.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.863 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.863 * [taylor]: Taking taylor expansion of re in re
7.863 * [backup-simplify]: Simplify 0 into 0
7.863 * [backup-simplify]: Simplify 1 into 1
7.863 * [backup-simplify]: Simplify (* 1 1) into 1
7.863 * [backup-simplify]: Simplify (/ 1 1) into 1
7.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.863 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.863 * [taylor]: Taking taylor expansion of im in re
7.863 * [backup-simplify]: Simplify im into im
7.864 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.864 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.864 * [backup-simplify]: Simplify (+ 1 0) into 1
7.865 * [backup-simplify]: Simplify (sqrt 1) into 1
7.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.866 * [backup-simplify]: Simplify (+ 0 0) into 0
7.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.867 * [taylor]: Taking taylor expansion of 1 in im
7.867 * [backup-simplify]: Simplify 1 into 1
7.867 * [taylor]: Taking taylor expansion of 0 in im
7.867 * [backup-simplify]: Simplify 0 into 0
7.867 * [backup-simplify]: Simplify 1 into 1
7.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.868 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.869 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.869 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.869 * [taylor]: Taking taylor expansion of 1/2 in im
7.869 * [backup-simplify]: Simplify 1/2 into 1/2
7.869 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.869 * [taylor]: Taking taylor expansion of im in im
7.869 * [backup-simplify]: Simplify 0 into 0
7.869 * [backup-simplify]: Simplify 1 into 1
7.869 * [backup-simplify]: Simplify (* 1 1) into 1
7.870 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.870 * [backup-simplify]: Simplify 0 into 0
7.870 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.872 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.872 * [backup-simplify]: Simplify (+ 0 0) into 0
7.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.873 * [taylor]: Taking taylor expansion of 0 in im
7.873 * [backup-simplify]: Simplify 0 into 0
7.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.874 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.874 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.874 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.874 * [taylor]: Taking taylor expansion of re in im
7.874 * [backup-simplify]: Simplify re into re
7.874 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.874 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.874 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.874 * [taylor]: Taking taylor expansion of im in im
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [backup-simplify]: Simplify 1 into 1
7.875 * [backup-simplify]: Simplify (* 1 1) into 1
7.875 * [backup-simplify]: Simplify (/ 1 1) into 1
7.875 * [backup-simplify]: Simplify (+ 0 1) into 1
7.875 * [backup-simplify]: Simplify (sqrt 1) into 1
7.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.876 * [backup-simplify]: Simplify (+ 0 0) into 0
7.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.877 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.877 * [taylor]: Taking taylor expansion of re in re
7.877 * [backup-simplify]: Simplify 0 into 0
7.877 * [backup-simplify]: Simplify 1 into 1
7.877 * [backup-simplify]: Simplify (* 1 1) into 1
7.877 * [backup-simplify]: Simplify (/ 1 1) into 1
7.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.877 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.877 * [taylor]: Taking taylor expansion of im in re
7.877 * [backup-simplify]: Simplify im into im
7.877 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.878 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.878 * [backup-simplify]: Simplify (+ 1 0) into 1
7.878 * [backup-simplify]: Simplify (sqrt 1) into 1
7.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.879 * [backup-simplify]: Simplify (+ 0 0) into 0
7.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.880 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.880 * [taylor]: Taking taylor expansion of re in re
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify 1 into 1
7.880 * [backup-simplify]: Simplify (* 1 1) into 1
7.880 * [backup-simplify]: Simplify (/ 1 1) into 1
7.880 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.880 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.880 * [taylor]: Taking taylor expansion of im in re
7.880 * [backup-simplify]: Simplify im into im
7.880 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.880 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.881 * [backup-simplify]: Simplify (+ 1 0) into 1
7.881 * [backup-simplify]: Simplify (sqrt 1) into 1
7.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.882 * [backup-simplify]: Simplify (+ 0 0) into 0
7.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.882 * [taylor]: Taking taylor expansion of 1 in im
7.882 * [backup-simplify]: Simplify 1 into 1
7.882 * [taylor]: Taking taylor expansion of 0 in im
7.882 * [backup-simplify]: Simplify 0 into 0
7.882 * [backup-simplify]: Simplify 1 into 1
7.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.884 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.884 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.884 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.885 * [taylor]: Taking taylor expansion of 1/2 in im
7.885 * [backup-simplify]: Simplify 1/2 into 1/2
7.885 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.885 * [taylor]: Taking taylor expansion of im in im
7.885 * [backup-simplify]: Simplify 0 into 0
7.885 * [backup-simplify]: Simplify 1 into 1
7.885 * [backup-simplify]: Simplify (* 1 1) into 1
7.885 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.886 * [backup-simplify]: Simplify 0 into 0
7.886 * [backup-simplify]: Simplify 0 into 0
7.886 * [backup-simplify]: Simplify 0 into 0
7.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.887 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.888 * [backup-simplify]: Simplify (+ 0 0) into 0
7.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.888 * [taylor]: Taking taylor expansion of 0 in im
7.888 * [backup-simplify]: Simplify 0 into 0
7.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.889 * [backup-simplify]: Simplify 0 into 0
7.889 * [backup-simplify]: Simplify 0 into 0
7.889 * [backup-simplify]: Simplify 0 into 0
7.889 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.889 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1)
7.890 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.890 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.890 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.890 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.890 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.890 * [taylor]: Taking taylor expansion of im in im
7.890 * [backup-simplify]: Simplify 0 into 0
7.890 * [backup-simplify]: Simplify 1 into 1
7.890 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.890 * [taylor]: Taking taylor expansion of re in im
7.890 * [backup-simplify]: Simplify re into re
7.890 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.890 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.890 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.890 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.890 * [backup-simplify]: Simplify (+ 0 0) into 0
7.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.890 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.890 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.891 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.891 * [taylor]: Taking taylor expansion of im in re
7.891 * [backup-simplify]: Simplify im into im
7.891 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.891 * [taylor]: Taking taylor expansion of re in re
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 1 into 1
7.891 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.891 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.891 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.891 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.891 * [backup-simplify]: Simplify (+ 0 0) into 0
7.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.891 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.891 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.891 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.891 * [taylor]: Taking taylor expansion of im in re
7.891 * [backup-simplify]: Simplify im into im
7.891 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.891 * [taylor]: Taking taylor expansion of re in re
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 1 into 1
7.891 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.892 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.892 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.892 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.892 * [backup-simplify]: Simplify (+ 0 0) into 0
7.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.892 * [taylor]: Taking taylor expansion of im in im
7.892 * [backup-simplify]: Simplify 0 into 0
7.892 * [backup-simplify]: Simplify 1 into 1
7.892 * [backup-simplify]: Simplify 0 into 0
7.892 * [taylor]: Taking taylor expansion of 0 in im
7.892 * [backup-simplify]: Simplify 0 into 0
7.892 * [backup-simplify]: Simplify 0 into 0
7.892 * [backup-simplify]: Simplify 1 into 1
7.892 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.893 * [backup-simplify]: Simplify (* 1 1) into 1
7.893 * [backup-simplify]: Simplify (+ 0 1) into 1
7.893 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.893 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.893 * [taylor]: Taking taylor expansion of 1/2 in im
7.893 * [backup-simplify]: Simplify 1/2 into 1/2
7.893 * [taylor]: Taking taylor expansion of im in im
7.893 * [backup-simplify]: Simplify 0 into 0
7.894 * [backup-simplify]: Simplify 1 into 1
7.894 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.894 * [backup-simplify]: Simplify 0 into 0
7.894 * [backup-simplify]: Simplify 0 into 0
7.894 * [backup-simplify]: Simplify 0 into 0
7.895 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.896 * [backup-simplify]: Simplify (+ 0 0) into 0
7.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.896 * [taylor]: Taking taylor expansion of 0 in im
7.896 * [backup-simplify]: Simplify 0 into 0
7.897 * [backup-simplify]: Simplify 0 into 0
7.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.898 * [backup-simplify]: Simplify 0 into 0
7.898 * [backup-simplify]: Simplify 0 into 0
7.898 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.898 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.898 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.898 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.898 * [taylor]: Taking taylor expansion of re in im
7.898 * [backup-simplify]: Simplify re into re
7.898 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.898 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.898 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.899 * [taylor]: Taking taylor expansion of im in im
7.899 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify 1 into 1
7.899 * [backup-simplify]: Simplify (* 1 1) into 1
7.899 * [backup-simplify]: Simplify (/ 1 1) into 1
7.900 * [backup-simplify]: Simplify (+ 0 1) into 1
7.900 * [backup-simplify]: Simplify (sqrt 1) into 1
7.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.902 * [backup-simplify]: Simplify (+ 0 0) into 0
7.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.903 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.903 * [taylor]: Taking taylor expansion of re in re
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 1 into 1
7.903 * [backup-simplify]: Simplify (* 1 1) into 1
7.904 * [backup-simplify]: Simplify (/ 1 1) into 1
7.904 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.904 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.904 * [taylor]: Taking taylor expansion of im in re
7.904 * [backup-simplify]: Simplify im into im
7.904 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.904 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.904 * [backup-simplify]: Simplify (+ 1 0) into 1
7.905 * [backup-simplify]: Simplify (sqrt 1) into 1
7.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.906 * [backup-simplify]: Simplify (+ 0 0) into 0
7.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.907 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.907 * [taylor]: Taking taylor expansion of re in re
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 1 into 1
7.908 * [backup-simplify]: Simplify (* 1 1) into 1
7.908 * [backup-simplify]: Simplify (/ 1 1) into 1
7.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.908 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.908 * [taylor]: Taking taylor expansion of im in re
7.908 * [backup-simplify]: Simplify im into im
7.908 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.908 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.909 * [backup-simplify]: Simplify (+ 1 0) into 1
7.909 * [backup-simplify]: Simplify (sqrt 1) into 1
7.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.911 * [backup-simplify]: Simplify (+ 0 0) into 0
7.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.912 * [taylor]: Taking taylor expansion of 1 in im
7.912 * [backup-simplify]: Simplify 1 into 1
7.912 * [taylor]: Taking taylor expansion of 0 in im
7.912 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify 1 into 1
7.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.914 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.915 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.915 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.915 * [taylor]: Taking taylor expansion of 1/2 in im
7.915 * [backup-simplify]: Simplify 1/2 into 1/2
7.915 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.915 * [taylor]: Taking taylor expansion of im in im
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify 1 into 1
7.916 * [backup-simplify]: Simplify (* 1 1) into 1
7.916 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.920 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.922 * [taylor]: Taking taylor expansion of 0 in im
7.922 * [backup-simplify]: Simplify 0 into 0
7.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.924 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.924 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.925 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.925 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.925 * [taylor]: Taking taylor expansion of re in im
7.925 * [backup-simplify]: Simplify re into re
7.925 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.925 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.925 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.925 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.925 * [taylor]: Taking taylor expansion of im in im
7.925 * [backup-simplify]: Simplify 0 into 0
7.925 * [backup-simplify]: Simplify 1 into 1
7.925 * [backup-simplify]: Simplify (* 1 1) into 1
7.926 * [backup-simplify]: Simplify (/ 1 1) into 1
7.926 * [backup-simplify]: Simplify (+ 0 1) into 1
7.927 * [backup-simplify]: Simplify (sqrt 1) into 1
7.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.928 * [backup-simplify]: Simplify (+ 0 0) into 0
7.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.929 * [taylor]: Taking taylor expansion of re in re
7.929 * [backup-simplify]: Simplify 0 into 0
7.929 * [backup-simplify]: Simplify 1 into 1
7.930 * [backup-simplify]: Simplify (* 1 1) into 1
7.930 * [backup-simplify]: Simplify (/ 1 1) into 1
7.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.930 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.930 * [taylor]: Taking taylor expansion of im in re
7.930 * [backup-simplify]: Simplify im into im
7.930 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.930 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.931 * [backup-simplify]: Simplify (+ 1 0) into 1
7.931 * [backup-simplify]: Simplify (sqrt 1) into 1
7.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.932 * [backup-simplify]: Simplify (+ 0 0) into 0
7.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.932 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.932 * [taylor]: Taking taylor expansion of re in re
7.932 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify 1 into 1
7.936 * [backup-simplify]: Simplify (* 1 1) into 1
7.937 * [backup-simplify]: Simplify (/ 1 1) into 1
7.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.937 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.937 * [taylor]: Taking taylor expansion of im in re
7.937 * [backup-simplify]: Simplify im into im
7.937 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.937 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.937 * [backup-simplify]: Simplify (+ 1 0) into 1
7.937 * [backup-simplify]: Simplify (sqrt 1) into 1
7.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.938 * [backup-simplify]: Simplify (+ 0 0) into 0
7.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.939 * [taylor]: Taking taylor expansion of 1 in im
7.939 * [backup-simplify]: Simplify 1 into 1
7.939 * [taylor]: Taking taylor expansion of 0 in im
7.939 * [backup-simplify]: Simplify 0 into 0
7.939 * [backup-simplify]: Simplify 1 into 1
7.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.940 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.941 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.941 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.941 * [taylor]: Taking taylor expansion of 1/2 in im
7.941 * [backup-simplify]: Simplify 1/2 into 1/2
7.941 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.941 * [taylor]: Taking taylor expansion of im in im
7.941 * [backup-simplify]: Simplify 0 into 0
7.941 * [backup-simplify]: Simplify 1 into 1
7.941 * [backup-simplify]: Simplify (* 1 1) into 1
7.942 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.944 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.944 * [backup-simplify]: Simplify (+ 0 0) into 0
7.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.945 * [taylor]: Taking taylor expansion of 0 in im
7.945 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.946 * [backup-simplify]: Simplify 0 into 0
7.946 * [backup-simplify]: Simplify 0 into 0
7.946 * [backup-simplify]: Simplify 0 into 0
7.946 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.946 * * * [progress]: simplifying candidates
7.947 * [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))))
  (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))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
7.948 * * [simplify]: iteration 0: 38 enodes
7.954 * * [simplify]: iteration 1: 91 enodes
7.981 * * [simplify]: iteration 2: 220 enodes
8.054 * * [simplify]: iteration 3: 528 enodes
8.292 * * [simplify]: iteration 4: 1462 enodes
8.715 * * [simplify]: iteration complete: 5000 enodes
8.715 * * [simplify]: Extracting #0: cost 18 inf + 0
8.716 * * [simplify]: Extracting #1: cost 42 inf + 4
8.717 * * [simplify]: Extracting #2: cost 353 inf + 47
8.724 * * [simplify]: Extracting #3: cost 1457 inf + 1083
8.749 * * [simplify]: Extracting #4: cost 1357 inf + 90562
8.809 * * [simplify]: Extracting #5: cost 462 inf + 277192
8.916 * * [simplify]: Extracting #6: cost 139 inf + 359646
9.041 * * [simplify]: Extracting #7: cost 16 inf + 391513
9.167 * * [simplify]: Extracting #8: cost 0 inf + 396382
9.251 * [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))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* 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))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re 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))) (+ (* 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))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re 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))) (+ (* 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))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re 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))) (+ (* 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))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
9.275 * * * [progress]: adding candidates to table
9.873 * [progress]: [Phase 3 of 3] Extracting.
9.873 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
9.875 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
9.875 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
9.958 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (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)))))))>)
10.026 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
10.119 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
10.190 * * * [regime]: Found split indices: #<option (#s(si 2 96) #s(si 0 125) #s(si 1 148) #s(si 0 152) #s(si 3 209) #s(si 5 255))>
10.191 * [binary-search]: Improving bounds with binary search for im and (#<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
10.596 * [regimes]: Found splitpoints: (#s(sp 2 im -9.439166578523512e-151) #s(sp 0 im -4.032427712052754e-269) #s(sp 1 im 3.87842665094286e-204) #s(sp 0 im 1.7188715849926042e-165) #s(sp 3 im 1.37255374618474e+91) #s(sp 5 im +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
10.596 * [simplify]: Simplifying:
  (if (<= im -9.439166578523512e-151) (* 0.5 (sqrt (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= im -4.032427712052754e-269) (* 0.5 (sqrt (* 4.0 re))) (if (<= im 3.87842665094286e-204) (* 0.5 (sqrt 0)) (if (<= im 1.7188715849926042e-165) (* 0.5 (sqrt (* 4.0 re))) (if (<= im 1.37255374618474e+91) (* 0.5 (sqrt (* 2.0 (+ (* (* (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))))))) re)))) (* 0.5 (sqrt (* 2.0 (+ im re)))))))))
10.596 * * [simplify]: iteration 0: 48 enodes
10.598 * * [simplify]: iteration 1: 61 enodes
10.602 * * [simplify]: iteration 2: 64 enodes
10.605 * * [simplify]: iteration complete: 64 enodes
10.605 * * [simplify]: Extracting #0: cost 1 inf + 0
10.605 * * [simplify]: Extracting #1: cost 4 inf + 0
10.605 * * [simplify]: Extracting #2: cost 11 inf + 0
10.605 * * [simplify]: Extracting #3: cost 14 inf + 3
10.606 * * [simplify]: Extracting #4: cost 16 inf + 139
10.606 * * [simplify]: Extracting #5: cost 23 inf + 207
10.606 * * [simplify]: Extracting #6: cost 20 inf + 401
10.606 * * [simplify]: Extracting #7: cost 21 inf + 444
10.607 * * [simplify]: Extracting #8: cost 17 inf + 1120
10.607 * * [simplify]: Extracting #9: cost 13 inf + 2255
10.608 * * [simplify]: Extracting #10: cost 11 inf + 2625
10.609 * * [simplify]: Extracting #11: cost 12 inf + 2625
10.610 * * [simplify]: Extracting #12: cost 13 inf + 2625
10.611 * * [simplify]: Extracting #13: cost 11 inf + 3069
10.612 * * [simplify]: Extracting #14: cost 8 inf + 4035
10.614 * * [simplify]: Extracting #15: cost 4 inf + 6140
10.617 * * [simplify]: Extracting #16: cost 0 inf + 11237
10.621 * [simplify]: Simplified to:
  (if (<= im -9.439166578523512e-151) (* (sqrt (/ (* (* im im) 2.0) (- (sqrt (+ (* im im) (* re re))) re))) 0.5) (if (<= im -4.032427712052754e-269) (* (sqrt (* 4.0 re)) 0.5) (if (<= im 3.87842665094286e-204) 0 (if (<= im 1.7188715849926042e-165) (* (sqrt (* 4.0 re)) 0.5) (if (<= im 1.37255374618474e+91) (* 0.5 (sqrt (* (+ (* (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (sqrt (+ (* im im) (* re re))))))) re) 2.0))) (* (sqrt (* 2.0 (+ im re))) 0.5))))))
13.958 * [regime-testing]: Baseline error score: 38.57180229511743
13.972 * [regime-testing]: Oracle error score: 17.518514293451844
14.012 * [regime-testing]: End program error score: 31.110675614832385
14.165 * [regime-testing]: Target error score: 32.65113667624059