23.502 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.071 * * * [progress]: [2/2] Setting up program.
0.076 * [progress]: [Phase 2 of 3] Improving.
0.077 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.077 * [simplify]: Sending expressions to egg_math:
 (* (/ 1.0 2.0) (sqrt (* 2.0 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
0.128 * * [progress]: iteration 1 / 4
0.128 * * * [progress]: picking best candidate
0.132 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.132 * * * [progress]: localizing error
0.145 * * * [progress]: generating rewritten candidates
0.145 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.160 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.213 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.257 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.276 * * * [progress]: generating series expansions
0.276 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.276 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.276 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.276 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.276 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.276 * [taylor]: Taking taylor expansion of re in im
0.276 * [backup-simplify]: Simplify re into re
0.276 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.276 * [taylor]: Taking taylor expansion of im in im
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.277 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.277 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.277 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.278 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.278 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.278 * [taylor]: Taking taylor expansion of re in re
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.278 * [taylor]: Taking taylor expansion of im in re
0.278 * [backup-simplify]: Simplify im into im
0.278 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.278 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.279 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.279 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.279 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.279 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.279 * [taylor]: Taking taylor expansion of re in re
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.280 * [taylor]: Taking taylor expansion of im in re
0.280 * [backup-simplify]: Simplify im into im
0.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.280 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.280 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.281 * [taylor]: Taking taylor expansion of im in im
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [taylor]: Taking taylor expansion of 0 in im
0.281 * [backup-simplify]: Simplify 0 into 0
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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.283 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.283 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.283 * [taylor]: Taking taylor expansion of 1/2 in im
0.283 * [backup-simplify]: Simplify 1/2 into 1/2
0.283 * [taylor]: Taking taylor expansion of im in im
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.285 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.285 * [taylor]: Taking taylor expansion of 0 in im
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.286 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.286 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.286 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.286 * [taylor]: Taking taylor expansion of im in im
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* 1 1) into 1
0.287 * [backup-simplify]: Simplify (/ 1 1) into 1
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.287 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.287 * [taylor]: Taking taylor expansion of re in im
0.287 * [backup-simplify]: Simplify re into re
0.287 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.287 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.287 * [backup-simplify]: Simplify (+ 1 0) into 1
0.288 * [backup-simplify]: Simplify (sqrt 1) into 1
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.289 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.289 * [taylor]: Taking taylor expansion of im in re
0.289 * [backup-simplify]: Simplify im into im
0.289 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.289 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.289 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.289 * [taylor]: Taking taylor expansion of re in re
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [backup-simplify]: Simplify (+ 0 1) into 1
0.290 * [backup-simplify]: Simplify (sqrt 1) into 1
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.292 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.292 * [taylor]: Taking taylor expansion of im in re
0.292 * [backup-simplify]: Simplify im into im
0.292 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.292 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.292 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.292 * [taylor]: Taking taylor expansion of re in re
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (/ 1 1) into 1
0.293 * [backup-simplify]: Simplify (+ 0 1) into 1
0.293 * [backup-simplify]: Simplify (sqrt 1) into 1
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.295 * [taylor]: Taking taylor expansion of 1 in im
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [taylor]: Taking taylor expansion of 0 in im
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.297 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.297 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.297 * [taylor]: Taking taylor expansion of 1/2 in im
0.297 * [backup-simplify]: Simplify 1/2 into 1/2
0.297 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.297 * [taylor]: Taking taylor expansion of im in im
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (* 1 1) into 1
0.298 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.301 * [taylor]: Taking taylor expansion of 0 in im
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.303 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.303 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.303 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.303 * [taylor]: Taking taylor expansion of im in im
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (* 1 1) into 1
0.303 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.303 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.303 * [taylor]: Taking taylor expansion of re in im
0.303 * [backup-simplify]: Simplify re into re
0.303 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.304 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.304 * [backup-simplify]: Simplify (+ 1 0) into 1
0.304 * [backup-simplify]: Simplify (sqrt 1) into 1
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
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)
0.306 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.306 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.306 * [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
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [backup-simplify]: Simplify (+ 0 1) into 1
0.307 * [backup-simplify]: Simplify (sqrt 1) into 1
0.308 * [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
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
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))
0.309 * [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
0.310 * [backup-simplify]: Simplify (/ 1 1) into 1
0.310 * [backup-simplify]: Simplify (+ 0 1) into 1
0.310 * [backup-simplify]: Simplify (sqrt 1) into 1
0.311 * [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
0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.312 * [taylor]: Taking taylor expansion of 1 in im
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [taylor]: Taking taylor expansion of 0 in im
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.314 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.314 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.314 * [taylor]: Taking taylor expansion of 1/2 in im
0.314 * [backup-simplify]: Simplify 1/2 into 1/2
0.314 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.314 * [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
0.315 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.320 * [taylor]: Taking taylor expansion of 0 in im
0.320 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.322 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.323 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.323 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.323 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.323 * [taylor]: Taking taylor expansion of re in im
0.323 * [backup-simplify]: Simplify re into re
0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.323 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.323 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.323 * [taylor]: Taking taylor expansion of re in im
0.323 * [backup-simplify]: Simplify re into re
0.323 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.323 * [taylor]: Taking taylor expansion of im in im
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.323 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.324 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.324 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.324 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.324 * [taylor]: Taking taylor expansion of re in re
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.324 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.324 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.324 * [taylor]: Taking taylor expansion of re in re
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.325 * [taylor]: Taking taylor expansion of im in re
0.325 * [backup-simplify]: Simplify im into im
0.325 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.325 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.325 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.325 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.325 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.326 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.326 * [taylor]: Taking taylor expansion of re in re
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.326 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.326 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.326 * [taylor]: Taking taylor expansion of re in re
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.326 * [taylor]: Taking taylor expansion of im in re
0.326 * [backup-simplify]: Simplify im into im
0.326 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.326 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.326 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.326 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.327 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.327 * [backup-simplify]: Simplify (+ 0 im) into im
0.327 * [taylor]: Taking taylor expansion of im in im
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify (+ 1 0) into 1
0.334 * [taylor]: Taking taylor expansion of 1 in im
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (* 1 1) into 1
0.335 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.336 * [backup-simplify]: Simplify (+ 1 0) into 1
0.337 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.337 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.337 * [taylor]: Taking taylor expansion of 1/2 in im
0.337 * [backup-simplify]: Simplify 1/2 into 1/2
0.337 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.337 * [taylor]: Taking taylor expansion of im in im
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (/ 1 1) into 1
0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.341 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in im
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.344 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.344 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.344 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.344 * [taylor]: Taking taylor expansion of re in im
0.345 * [backup-simplify]: Simplify re into re
0.345 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
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
0.345 * [backup-simplify]: Simplify (* 1 1) into 1
0.346 * [backup-simplify]: Simplify (/ 1 1) into 1
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.346 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.346 * [taylor]: Taking taylor expansion of re in im
0.346 * [backup-simplify]: Simplify re into re
0.346 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.346 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.346 * [backup-simplify]: Simplify (+ 1 0) into 1
0.347 * [backup-simplify]: Simplify (sqrt 1) into 1
0.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (+ 0 0) into 0
0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.348 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.348 * [taylor]: Taking taylor expansion of re in re
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (/ 1 1) into 1
0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.349 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.349 * [taylor]: Taking taylor expansion of im in re
0.349 * [backup-simplify]: Simplify im into im
0.349 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.349 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.349 * [taylor]: Taking taylor expansion of re in re
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (* 1 1) into 1
0.349 * [backup-simplify]: Simplify (/ 1 1) into 1
0.350 * [backup-simplify]: Simplify (+ 0 1) into 1
0.350 * [backup-simplify]: Simplify (sqrt 1) into 1
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ 0 0) into 0
0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.351 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.351 * [taylor]: Taking taylor expansion of re in re
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (/ 1 1) into 1
0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.352 * [taylor]: Taking taylor expansion of im in re
0.352 * [backup-simplify]: Simplify im into im
0.352 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.352 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.352 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.352 * [taylor]: Taking taylor expansion of re in re
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (* 1 1) into 1
0.353 * [backup-simplify]: Simplify (/ 1 1) into 1
0.353 * [backup-simplify]: Simplify (+ 0 1) into 1
0.353 * [backup-simplify]: Simplify (sqrt 1) into 1
0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.354 * [backup-simplify]: Simplify (+ 0 0) into 0
0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.355 * [backup-simplify]: Simplify (+ 1 1) into 2
0.355 * [taylor]: Taking taylor expansion of 2 in im
0.355 * [backup-simplify]: Simplify 2 into 2
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.356 * [taylor]: Taking taylor expansion of 0 in im
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 2 into 2
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.359 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.359 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.359 * [taylor]: Taking taylor expansion of 1/2 in im
0.359 * [backup-simplify]: Simplify 1/2 into 1/2
0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.359 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.359 * [taylor]: Taking taylor expansion of im in im
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (* 1 1) into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [taylor]: Taking taylor expansion of 0 in im
0.363 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.365 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.366 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.366 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.366 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.366 * [taylor]: Taking taylor expansion of im in im
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (* 1 1) into 1
0.366 * [backup-simplify]: Simplify (/ 1 1) into 1
0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.366 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.366 * [taylor]: Taking taylor expansion of re in im
0.366 * [backup-simplify]: Simplify re into re
0.366 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.366 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.367 * [backup-simplify]: Simplify (+ 1 0) into 1
0.367 * [backup-simplify]: Simplify (sqrt 1) into 1
0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.368 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.368 * [taylor]: Taking taylor expansion of re in im
0.368 * [backup-simplify]: Simplify re into re
0.368 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.368 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.369 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.369 * [taylor]: Taking taylor expansion of im in re
0.369 * [backup-simplify]: Simplify im into im
0.369 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.369 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.369 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.369 * [taylor]: Taking taylor expansion of re in re
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [backup-simplify]: Simplify (+ 0 1) into 1
0.370 * [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
0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.371 * [taylor]: Taking taylor expansion of re in re
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (/ 1 1) into 1
0.372 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.372 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.372 * [taylor]: Taking taylor expansion of im in re
0.372 * [backup-simplify]: Simplify im into im
0.372 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.372 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.372 * [taylor]: Taking taylor expansion of (pow re 2) 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
0.372 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [backup-simplify]: Simplify (+ 0 1) into 1
0.373 * [backup-simplify]: Simplify (sqrt 1) into 1
0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.375 * [taylor]: Taking taylor expansion of re in re
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (/ 1 1) into 1
0.375 * [backup-simplify]: Simplify (- 1) into -1
0.375 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.375 * [taylor]: Taking taylor expansion of 0 in im
0.375 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (- 0) into 0
0.376 * [backup-simplify]: Simplify (+ 0 0) into 0
0.376 * [taylor]: Taking taylor expansion of 0 in im
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.378 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.379 * [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
0.379 * [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
0.380 * [backup-simplify]: Simplify (* 1 1) into 1
0.380 * [backup-simplify]: Simplify (/ 1 1) into 1
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (- 0) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [taylor]: Taking taylor expansion of 0 in im
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.389 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))))
0.389 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.389 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.389 * [taylor]: Taking taylor expansion of 2.0 in im
0.389 * [backup-simplify]: Simplify 2.0 into 2.0
0.389 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.389 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.389 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.390 * [taylor]: Taking taylor expansion of re in im
0.390 * [backup-simplify]: Simplify re into re
0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.390 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.390 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.390 * [taylor]: Taking taylor expansion of re in im
0.390 * [backup-simplify]: Simplify re into re
0.390 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.390 * [taylor]: Taking taylor expansion of im in im
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.390 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.390 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.390 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.390 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.390 * [backup-simplify]: Simplify (+ 0 0) into 0
0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.390 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.390 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.391 * [backup-simplify]: Simplify (+ 0 0) into 0
0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.391 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.391 * [taylor]: Taking taylor expansion of 2.0 in re
0.391 * [backup-simplify]: Simplify 2.0 into 2.0
0.391 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.392 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.392 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.392 * [taylor]: Taking taylor expansion of re in re
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.392 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.392 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.392 * [taylor]: Taking taylor expansion of re in re
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.392 * [taylor]: Taking taylor expansion of im in re
0.392 * [backup-simplify]: Simplify im into im
0.392 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.392 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.392 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.392 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.392 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.393 * [backup-simplify]: Simplify (+ 0 im) into im
0.393 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.393 * [backup-simplify]: Simplify (+ 1 0) into 1
0.393 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.393 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.393 * [taylor]: Taking taylor expansion of 2.0 in re
0.393 * [backup-simplify]: Simplify 2.0 into 2.0
0.393 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.394 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.394 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.394 * [taylor]: Taking taylor expansion of re in re
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.394 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.394 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.394 * [taylor]: Taking taylor expansion of re in re
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.394 * [taylor]: Taking taylor expansion of im in re
0.394 * [backup-simplify]: Simplify im into im
0.394 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.394 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.394 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.394 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.395 * [backup-simplify]: Simplify (+ 0 im) into im
0.395 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.395 * [backup-simplify]: Simplify (+ 1 0) into 1
0.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.395 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.395 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.396 * [taylor]: Taking taylor expansion of 2.0 in im
0.396 * [backup-simplify]: Simplify 2.0 into 2.0
0.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.396 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.396 * [taylor]: Taking taylor expansion of im in im
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 1 into 1
0.397 * [backup-simplify]: Simplify (sqrt 0) into 0
0.398 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.398 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.399 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.399 * [taylor]: Taking taylor expansion of 1/2 in im
0.399 * [backup-simplify]: Simplify 1/2 into 1/2
0.399 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.399 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.399 * [taylor]: Taking taylor expansion of 2.0 in im
0.399 * [backup-simplify]: Simplify 2.0 into 2.0
0.399 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.399 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.399 * [taylor]: Taking taylor expansion of im in im
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 1 into 1
0.400 * [backup-simplify]: Simplify (/ 1 1) into 1
0.400 * [backup-simplify]: Simplify (sqrt 0) into 0
0.401 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.402 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.403 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.405 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.406 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.408 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.409 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.409 * [backup-simplify]: Simplify (* 1 1) into 1
0.409 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.410 * [backup-simplify]: Simplify (+ 1 0) into 1
0.410 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.410 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.411 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
0.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.412 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.412 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.412 * [taylor]: Taking taylor expansion of 1/8 in im
0.412 * [backup-simplify]: Simplify 1/8 into 1/8
0.412 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.412 * [taylor]: Taking taylor expansion of 2.0 in im
0.412 * [backup-simplify]: Simplify 2.0 into 2.0
0.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.413 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.413 * [taylor]: Taking taylor expansion of im in im
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (* 1 1) into 1
0.413 * [backup-simplify]: Simplify (* 1 1) into 1
0.414 * [backup-simplify]: Simplify (/ 1 1) into 1
0.414 * [backup-simplify]: Simplify (sqrt 0) into 0
0.415 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.424 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.426 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.427 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.432 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.433 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.438 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
0.439 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))
0.439 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0
0.439 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.439 * [taylor]: Taking taylor expansion of 2.0 in im
0.439 * [backup-simplify]: Simplify 2.0 into 2.0
0.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.441 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.441 * [taylor]: Taking taylor expansion of re in im
0.441 * [backup-simplify]: Simplify re into re
0.441 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.441 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.441 * [taylor]: Taking taylor expansion of im in im
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 1 into 1
0.441 * [backup-simplify]: Simplify (* 1 1) into 1
0.442 * [backup-simplify]: Simplify (/ 1 1) into 1
0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.442 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.442 * [taylor]: Taking taylor expansion of re in im
0.442 * [backup-simplify]: Simplify re into re
0.442 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.442 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.443 * [backup-simplify]: Simplify (+ 1 0) into 1
0.443 * [backup-simplify]: Simplify (sqrt 1) into 1
0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.445 * [backup-simplify]: Simplify (+ 0 0) into 0
0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.454 * [backup-simplify]: Simplify (+ 0 1) into 1
0.455 * [backup-simplify]: Simplify (sqrt 0) into 0
0.457 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.457 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.457 * [taylor]: Taking taylor expansion of 2.0 in re
0.457 * [backup-simplify]: Simplify 2.0 into 2.0
0.457 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.458 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.458 * [taylor]: Taking taylor expansion of re in re
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (/ 1 1) into 1
0.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.459 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.459 * [taylor]: Taking taylor expansion of im in re
0.459 * [backup-simplify]: Simplify im into im
0.459 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.459 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.459 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.459 * [taylor]: Taking taylor expansion of re in re
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (* 1 1) into 1
0.459 * [backup-simplify]: Simplify (/ 1 1) into 1
0.460 * [backup-simplify]: Simplify (+ 0 1) into 1
0.460 * [backup-simplify]: Simplify (sqrt 1) into 1
0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (+ 0 0) into 0
0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.462 * [backup-simplify]: Simplify (+ 1 1) into 2
0.462 * [backup-simplify]: Simplify (sqrt 0) into 0
0.463 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.463 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.463 * [taylor]: Taking taylor expansion of 2.0 in re
0.463 * [backup-simplify]: Simplify 2.0 into 2.0
0.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.464 * [taylor]: Taking taylor expansion of re in re
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.464 * [backup-simplify]: Simplify (/ 1 1) into 1
0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.464 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.464 * [taylor]: Taking taylor expansion of im in re
0.464 * [backup-simplify]: Simplify im into im
0.464 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.464 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.464 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.464 * [taylor]: Taking taylor expansion of re in re
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (* 1 1) into 1
0.465 * [backup-simplify]: Simplify (/ 1 1) into 1
0.465 * [backup-simplify]: Simplify (+ 0 1) into 1
0.465 * [backup-simplify]: Simplify (sqrt 1) into 1
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.467 * [backup-simplify]: Simplify (+ 1 1) into 2
0.467 * [backup-simplify]: Simplify (sqrt 0) into 0
0.468 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.468 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.469 * [taylor]: Taking taylor expansion of 0 in im
0.469 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.470 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.470 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.470 * [taylor]: Taking taylor expansion of +nan.0 in im
0.470 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.470 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.470 * [taylor]: Taking taylor expansion of 2.0 in im
0.470 * [backup-simplify]: Simplify 2.0 into 2.0
0.470 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.476 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.476 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.476 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.476 * [taylor]: Taking taylor expansion of +nan.0 in im
0.476 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.476 * [taylor]: Taking taylor expansion of 2.0 in im
0.476 * [backup-simplify]: Simplify 2.0 into 2.0
0.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.477 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.478 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.479 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.481 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.482 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.483 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
0.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.484 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.484 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.484 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.485 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.485 * [taylor]: Taking taylor expansion of +nan.0 in im
0.485 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.485 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.485 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.485 * [taylor]: Taking taylor expansion of 2.0 in im
0.485 * [backup-simplify]: Simplify 2.0 into 2.0
0.485 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.485 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.485 * [taylor]: Taking taylor expansion of im in im
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify (* 1 1) into 1
0.486 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.486 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.486 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.486 * [taylor]: Taking taylor expansion of +nan.0 in im
0.486 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.486 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.486 * [taylor]: Taking taylor expansion of 2.0 in im
0.486 * [backup-simplify]: Simplify 2.0 into 2.0
0.487 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.489 * [backup-simplify]: Simplify (+ 0 0) into 0
0.489 * [backup-simplify]: Simplify (- 0) into 0
0.489 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.491 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.491 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.492 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.492 * [backup-simplify]: Simplify (- 0) into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.493 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ 0 0) into 0
0.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.495 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
0.497 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.498 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.498 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.498 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.498 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.498 * [taylor]: Taking taylor expansion of +nan.0 in im
0.498 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.498 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.498 * [taylor]: Taking taylor expansion of 2.0 in im
0.498 * [backup-simplify]: Simplify 2.0 into 2.0
0.499 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.500 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.500 * [taylor]: Taking taylor expansion of im in im
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.501 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.501 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.501 * [taylor]: Taking taylor expansion of +nan.0 in im
0.501 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.501 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.501 * [taylor]: Taking taylor expansion of 2.0 in im
0.501 * [backup-simplify]: Simplify 2.0 into 2.0
0.502 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.505 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [backup-simplify]: Simplify (- 0) into 0
0.506 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.511 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.513 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.515 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.518 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.519 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.524 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
0.525 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))
0.525 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0
0.525 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.525 * [taylor]: Taking taylor expansion of 2.0 in im
0.525 * [backup-simplify]: Simplify 2.0 into 2.0
0.526 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.526 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.526 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.527 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.527 * [taylor]: Taking taylor expansion of im in im
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 1 into 1
0.527 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (/ 1 1) into 1
0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.527 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.528 * [taylor]: Taking taylor expansion of re in im
0.528 * [backup-simplify]: Simplify re into re
0.528 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.528 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.528 * [backup-simplify]: Simplify (+ 1 0) into 1
0.529 * [backup-simplify]: Simplify (sqrt 1) into 1
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (+ 0 0) into 0
0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.531 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.531 * [taylor]: Taking taylor expansion of re in im
0.531 * [backup-simplify]: Simplify re into re
0.531 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.532 * [backup-simplify]: Simplify (+ 1 0) into 1
0.532 * [backup-simplify]: Simplify (sqrt 0) into 0
0.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.534 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.534 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.534 * [taylor]: Taking taylor expansion of 2.0 in re
0.534 * [backup-simplify]: Simplify 2.0 into 2.0
0.534 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.535 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.535 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.535 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.535 * [taylor]: Taking taylor expansion of im in re
0.535 * [backup-simplify]: Simplify im into im
0.535 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.535 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.535 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.535 * [taylor]: Taking taylor expansion of re in re
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.536 * [backup-simplify]: Simplify (* 1 1) into 1
0.536 * [backup-simplify]: Simplify (/ 1 1) into 1
0.537 * [backup-simplify]: Simplify (+ 0 1) into 1
0.537 * [backup-simplify]: Simplify (sqrt 1) into 1
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.539 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.539 * [taylor]: Taking taylor expansion of re in re
0.539 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 1 into 1
0.540 * [backup-simplify]: Simplify (/ 1 1) into 1
0.540 * [backup-simplify]: Simplify (- 1) into -1
0.541 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (- 0) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.544 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.545 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (- 0) into 0
0.547 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.547 * [backup-simplify]: Simplify (sqrt 0) into 0
0.548 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.548 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.548 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.548 * [taylor]: Taking taylor expansion of 2.0 in re
0.548 * [backup-simplify]: Simplify 2.0 into 2.0
0.548 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.549 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.549 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.549 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.549 * [taylor]: Taking taylor expansion of im in re
0.549 * [backup-simplify]: Simplify im into im
0.549 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.550 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.550 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.550 * [taylor]: Taking taylor expansion of re in re
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 1 into 1
0.550 * [backup-simplify]: Simplify (* 1 1) into 1
0.550 * [backup-simplify]: Simplify (/ 1 1) into 1
0.551 * [backup-simplify]: Simplify (+ 0 1) into 1
0.551 * [backup-simplify]: Simplify (sqrt 1) into 1
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.554 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.554 * [taylor]: Taking taylor expansion of re in re
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (/ 1 1) into 1
0.554 * [backup-simplify]: Simplify (- 1) into -1
0.555 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (- 0) into 0
0.556 * [backup-simplify]: Simplify (+ 0 0) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.560 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.561 * [backup-simplify]: Simplify (- 0) into 0
0.561 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.561 * [backup-simplify]: Simplify (sqrt 0) into 0
0.562 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.563 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.563 * [taylor]: Taking taylor expansion of 0 in im
0.563 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.564 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.564 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.564 * [taylor]: Taking taylor expansion of +nan.0 in im
0.564 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.564 * [taylor]: Taking taylor expansion of 2.0 in im
0.564 * [backup-simplify]: Simplify 2.0 into 2.0
0.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.565 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.565 * [taylor]: Taking taylor expansion of im in im
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.566 * [backup-simplify]: Simplify (* 1 1) into 1
0.567 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.570 * [backup-simplify]: Simplify (- 0) into 0
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ 0 0) into 0
0.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (- 0) into 0
0.575 * [backup-simplify]: Simplify (+ 0 0) into 0
0.586 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.588 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
0.588 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.588 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.588 * [taylor]: Taking taylor expansion of +nan.0 in im
0.588 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.588 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.589 * [taylor]: Taking taylor expansion of 2.0 in im
0.589 * [backup-simplify]: Simplify 2.0 into 2.0
0.589 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.590 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.590 * [taylor]: Taking taylor expansion of im in im
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify 1 into 1
0.590 * [backup-simplify]: Simplify (* 1 1) into 1
0.591 * [backup-simplify]: Simplify (* 1 1) into 1
0.591 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.593 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.604 * [backup-simplify]: Simplify (- 0) into 0
0.604 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.608 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.609 * [backup-simplify]: Simplify (- 0) into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.612 * [backup-simplify]: Simplify (+ 0 0) into 0
0.614 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (- 0) into 0
0.615 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.616 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
0.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.620 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.620 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.620 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.620 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.620 * [taylor]: Taking taylor expansion of +nan.0 in im
0.620 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.620 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.620 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.620 * [taylor]: Taking taylor expansion of 2.0 in im
0.620 * [backup-simplify]: Simplify 2.0 into 2.0
0.621 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.621 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.621 * [taylor]: Taking taylor expansion of im in im
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify 1 into 1
0.622 * [backup-simplify]: Simplify (* 1 1) into 1
0.622 * [backup-simplify]: Simplify (* 1 1) into 1
0.623 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.623 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.623 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.623 * [taylor]: Taking taylor expansion of +nan.0 in im
0.623 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.623 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.623 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.623 * [taylor]: Taking taylor expansion of 2.0 in im
0.623 * [backup-simplify]: Simplify 2.0 into 2.0
0.624 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.625 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.625 * [taylor]: Taking taylor expansion of im in im
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 1 into 1
0.625 * [backup-simplify]: Simplify (* 1 1) into 1
0.625 * [backup-simplify]: Simplify (* 1 1) into 1
0.626 * [backup-simplify]: Simplify (* 1 1) into 1
0.627 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.628 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.639 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.668 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.669 * [backup-simplify]: Simplify (- 0) into 0
0.669 * [backup-simplify]: Simplify (+ 0 0) into 0
0.669 * [backup-simplify]: Simplify (- 0) into 0
0.669 * [backup-simplify]: Simplify 0 into 0
0.669 * [backup-simplify]: Simplify 0 into 0
0.669 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.670 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.670 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.670 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.670 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.670 * [taylor]: Taking taylor expansion of re in im
0.670 * [backup-simplify]: Simplify re into re
0.670 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.670 * [taylor]: Taking taylor expansion of im in im
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.670 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.670 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.670 * [taylor]: Taking taylor expansion of re in re
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.670 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.670 * [taylor]: Taking taylor expansion of im in re
0.670 * [backup-simplify]: Simplify im into im
0.670 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.670 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.670 * [taylor]: Taking taylor expansion of re in re
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.670 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.670 * [taylor]: Taking taylor expansion of im in re
0.670 * [backup-simplify]: Simplify im into im
0.671 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.671 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.671 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.671 * [taylor]: Taking taylor expansion of im in im
0.671 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify 1 into 1
0.671 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.671 * [backup-simplify]: Simplify (+ 0 0) into 0
0.671 * [taylor]: Taking taylor expansion of 0 in im
0.671 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (* 1 1) into 1
0.672 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.673 * [backup-simplify]: Simplify (+ 1 0) into 1
0.673 * [taylor]: Taking taylor expansion of 1 in im
0.673 * [backup-simplify]: Simplify 1 into 1
0.673 * [backup-simplify]: Simplify 1 into 1
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify (* 1 1) into 1
0.673 * [backup-simplify]: Simplify 1 into 1
0.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.675 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.675 * [backup-simplify]: Simplify (+ 0 0) into 0
0.675 * [taylor]: Taking taylor expansion of 0 in im
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.676 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.678 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.679 * [backup-simplify]: Simplify (+ 0 0) into 0
0.679 * [taylor]: Taking taylor expansion of 0 in im
0.679 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.680 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.680 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.680 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.680 * [taylor]: Taking taylor expansion of im in im
0.680 * [backup-simplify]: Simplify 0 into 0
0.680 * [backup-simplify]: Simplify 1 into 1
0.680 * [backup-simplify]: Simplify (* 1 1) into 1
0.681 * [backup-simplify]: Simplify (/ 1 1) into 1
0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.681 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.681 * [taylor]: Taking taylor expansion of re in im
0.681 * [backup-simplify]: Simplify re into re
0.681 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.681 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.681 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.681 * [taylor]: Taking taylor expansion of im in re
0.681 * [backup-simplify]: Simplify im into im
0.681 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.681 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.681 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.681 * [taylor]: Taking taylor expansion of re in re
0.681 * [backup-simplify]: Simplify 0 into 0
0.681 * [backup-simplify]: Simplify 1 into 1
0.682 * [backup-simplify]: Simplify (* 1 1) into 1
0.682 * [backup-simplify]: Simplify (/ 1 1) into 1
0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.682 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.682 * [taylor]: Taking taylor expansion of im in re
0.682 * [backup-simplify]: Simplify im into im
0.682 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.683 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.683 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.683 * [taylor]: Taking taylor expansion of re in re
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify 1 into 1
0.683 * [backup-simplify]: Simplify (* 1 1) into 1
0.683 * [backup-simplify]: Simplify (/ 1 1) into 1
0.684 * [backup-simplify]: Simplify (+ 0 1) into 1
0.684 * [taylor]: Taking taylor expansion of 1 in im
0.684 * [backup-simplify]: Simplify 1 into 1
0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.686 * [backup-simplify]: Simplify (+ 0 0) into 0
0.686 * [taylor]: Taking taylor expansion of 0 in im
0.686 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.688 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.688 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.688 * [taylor]: Taking taylor expansion of im in im
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 1 into 1
0.688 * [backup-simplify]: Simplify (* 1 1) into 1
0.689 * [backup-simplify]: Simplify (/ 1 1) into 1
0.689 * [backup-simplify]: Simplify 1 into 1
0.689 * [backup-simplify]: Simplify 1 into 1
0.689 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.692 * [backup-simplify]: Simplify (+ 0 0) into 0
0.692 * [taylor]: Taking taylor expansion of 0 in im
0.692 * [backup-simplify]: Simplify 0 into 0
0.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.697 * [backup-simplify]: Simplify (+ 0 0) into 0
0.697 * [taylor]: Taking taylor expansion of 0 in im
0.697 * [backup-simplify]: Simplify 0 into 0
0.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.700 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.700 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.700 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.700 * [taylor]: Taking taylor expansion of im in im
0.700 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify 1 into 1
0.700 * [backup-simplify]: Simplify (* 1 1) into 1
0.701 * [backup-simplify]: Simplify (/ 1 1) into 1
0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.701 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.701 * [taylor]: Taking taylor expansion of re in im
0.701 * [backup-simplify]: Simplify re into re
0.701 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.701 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.701 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.701 * [taylor]: Taking taylor expansion of im in re
0.701 * [backup-simplify]: Simplify im into im
0.701 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.702 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.702 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.702 * [taylor]: Taking taylor expansion of re in re
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 1 into 1
0.702 * [backup-simplify]: Simplify (* 1 1) into 1
0.702 * [backup-simplify]: Simplify (/ 1 1) into 1
0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.703 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.703 * [taylor]: Taking taylor expansion of im in re
0.703 * [backup-simplify]: Simplify im into im
0.703 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.703 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.703 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.703 * [taylor]: Taking taylor expansion of re in re
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify 1 into 1
0.703 * [backup-simplify]: Simplify (* 1 1) into 1
0.704 * [backup-simplify]: Simplify (/ 1 1) into 1
0.704 * [backup-simplify]: Simplify (+ 0 1) into 1
0.704 * [taylor]: Taking taylor expansion of 1 in im
0.704 * [backup-simplify]: Simplify 1 into 1
0.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.706 * [backup-simplify]: Simplify (+ 0 0) into 0
0.706 * [taylor]: Taking taylor expansion of 0 in im
0.706 * [backup-simplify]: Simplify 0 into 0
0.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.708 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.708 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.708 * [taylor]: Taking taylor expansion of im in im
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 1 into 1
0.709 * [backup-simplify]: Simplify (* 1 1) into 1
0.709 * [backup-simplify]: Simplify (/ 1 1) into 1
0.709 * [backup-simplify]: Simplify 1 into 1
0.709 * [backup-simplify]: Simplify 1 into 1
0.709 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.712 * [backup-simplify]: Simplify (+ 0 0) into 0
0.712 * [taylor]: Taking taylor expansion of 0 in im
0.712 * [backup-simplify]: Simplify 0 into 0
0.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.714 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (+ 0 0) into 0
0.717 * [taylor]: Taking taylor expansion of 0 in im
0.717 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify 0 into 0
0.720 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.720 * * * [progress]: simplifying candidates
0.722 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
0.722 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1))
 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))
 (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))
 (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))
 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))
 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)
 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)
 (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (exp (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))
 (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (* (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt 2.0)
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (* 2.0 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))))
 (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt (* 2.0 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))))
 (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (/ 1 2)
 (/ 1 2)
 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (exp (* h1 h1)) (exp (* h0 h0)))
 (log (+ (* h1 h1) (* h0 h0)))
 (exp (+ (* h1 h1) (* h0 h0)))
 (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))
 (cbrt (+ (* h1 h1) (* h0 h0)))
 (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))
 (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))
 (- (* h1 h1) (* h0 h0))
 h0
 h1
 (* -1 h1)
 (+ h1 h0)
 (* 2 h1)
 0
 (- (+ (* h2 (* (sqrt 2.0) (pow h1 2))) (- (+ (* h2 (* (sqrt 2.0) h0)) (- (* h2 (* (sqrt 2.0) h1)))))))
 (- (+ (* h2 (sqrt 2.0)) (- (+ (* h2 (/ (sqrt 2.0) (pow h1 2))) (- (* h2 (/ (sqrt 2.0) h1)))))))
 0
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
2.355 * * * [progress]: adding candidates to table
2.682 * * [progress]: iteration 2 / 4
2.682 * * * [progress]: picking best candidate
2.708 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.708 * * * [progress]: localizing error
2.726 * * * [progress]: generating rewritten candidates
2.726 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
2.735 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
2.758 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
2.822 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
2.933 * * * [progress]: generating series expansions
2.933 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
2.934 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.934 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.934 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.934 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.934 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.934 * [taylor]: Taking taylor expansion of re in im
2.934 * [backup-simplify]: Simplify re into re
2.934 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.934 * [taylor]: Taking taylor expansion of im in im
2.934 * [backup-simplify]: Simplify 0 into 0
2.934 * [backup-simplify]: Simplify 1 into 1
2.934 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.934 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.934 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.934 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.935 * [backup-simplify]: Simplify (+ 0 0) into 0
2.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.935 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.935 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.935 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.935 * [taylor]: Taking taylor expansion of re in re
2.935 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify 1 into 1
2.935 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.935 * [taylor]: Taking taylor expansion of im in re
2.935 * [backup-simplify]: Simplify im into im
2.935 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.935 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.935 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.935 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.935 * [backup-simplify]: Simplify (+ 0 0) into 0
2.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.936 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.936 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.936 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.936 * [taylor]: Taking taylor expansion of re in re
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 1 into 1
2.936 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.936 * [taylor]: Taking taylor expansion of im in re
2.936 * [backup-simplify]: Simplify im into im
2.936 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.936 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.936 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.936 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.936 * [backup-simplify]: Simplify (+ 0 0) into 0
2.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.936 * [taylor]: Taking taylor expansion of im in im
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 1 into 1
2.937 * [backup-simplify]: Simplify 0 into 0
2.937 * [taylor]: Taking taylor expansion of 0 in im
2.937 * [backup-simplify]: Simplify 0 into 0
2.937 * [backup-simplify]: Simplify 0 into 0
2.937 * [backup-simplify]: Simplify 1 into 1
2.937 * [backup-simplify]: Simplify (* 1 1) into 1
2.937 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.937 * [backup-simplify]: Simplify (+ 1 0) into 1
2.938 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.938 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.938 * [taylor]: Taking taylor expansion of 1/2 in im
2.938 * [backup-simplify]: Simplify 1/2 into 1/2
2.938 * [taylor]: Taking taylor expansion of im in im
2.938 * [backup-simplify]: Simplify 0 into 0
2.938 * [backup-simplify]: Simplify 1 into 1
2.938 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.939 * [backup-simplify]: Simplify 0 into 0
2.939 * [backup-simplify]: Simplify 0 into 0
2.939 * [backup-simplify]: Simplify 0 into 0
2.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.940 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.940 * [backup-simplify]: Simplify (+ 0 0) into 0
2.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.940 * [taylor]: Taking taylor expansion of 0 in im
2.940 * [backup-simplify]: Simplify 0 into 0
2.940 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.941 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.941 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.941 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.941 * [taylor]: Taking taylor expansion of im in im
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify 1 into 1
2.942 * [backup-simplify]: Simplify (* 1 1) into 1
2.942 * [backup-simplify]: Simplify (/ 1 1) into 1
2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.942 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.942 * [taylor]: Taking taylor expansion of re in im
2.942 * [backup-simplify]: Simplify re into re
2.942 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.942 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.942 * [backup-simplify]: Simplify (+ 1 0) into 1
2.943 * [backup-simplify]: Simplify (sqrt 1) into 1
2.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.944 * [backup-simplify]: Simplify (+ 0 0) into 0
2.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.944 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.944 * [taylor]: Taking taylor expansion of im in re
2.944 * [backup-simplify]: Simplify im into im
2.944 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.944 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.945 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.945 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.945 * [taylor]: Taking taylor expansion of re in re
2.945 * [backup-simplify]: Simplify 0 into 0
2.945 * [backup-simplify]: Simplify 1 into 1
2.945 * [backup-simplify]: Simplify (* 1 1) into 1
2.945 * [backup-simplify]: Simplify (/ 1 1) into 1
2.945 * [backup-simplify]: Simplify (+ 0 1) into 1
2.946 * [backup-simplify]: Simplify (sqrt 1) into 1
2.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.947 * [backup-simplify]: Simplify (+ 0 0) into 0
2.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.947 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.947 * [taylor]: Taking taylor expansion of im in re
2.947 * [backup-simplify]: Simplify im into im
2.947 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.947 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.947 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.947 * [taylor]: Taking taylor expansion of re in re
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 1 into 1
2.948 * [backup-simplify]: Simplify (* 1 1) into 1
2.948 * [backup-simplify]: Simplify (/ 1 1) into 1
2.948 * [backup-simplify]: Simplify (+ 0 1) into 1
2.948 * [backup-simplify]: Simplify (sqrt 1) into 1
2.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (+ 0 0) into 0
2.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.950 * [taylor]: Taking taylor expansion of 1 in im
2.950 * [backup-simplify]: Simplify 1 into 1
2.950 * [taylor]: Taking taylor expansion of 0 in im
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 1 into 1
2.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.951 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.952 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.952 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.952 * [taylor]: Taking taylor expansion of 1/2 in im
2.952 * [backup-simplify]: Simplify 1/2 into 1/2
2.952 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.952 * [taylor]: Taking taylor expansion of im in im
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify 1 into 1
2.953 * [backup-simplify]: Simplify (* 1 1) into 1
2.953 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.954 * [backup-simplify]: Simplify 0 into 0
2.954 * [backup-simplify]: Simplify 0 into 0
2.954 * [backup-simplify]: Simplify 0 into 0
2.954 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.956 * [backup-simplify]: Simplify (+ 0 0) into 0
2.956 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.956 * [taylor]: Taking taylor expansion of 0 in im
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.957 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.957 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.958 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.958 * [taylor]: Taking taylor expansion of im in im
2.958 * [backup-simplify]: Simplify 0 into 0
2.958 * [backup-simplify]: Simplify 1 into 1
2.958 * [backup-simplify]: Simplify (* 1 1) into 1
2.958 * [backup-simplify]: Simplify (/ 1 1) into 1
2.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.958 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.958 * [taylor]: Taking taylor expansion of re in im
2.958 * [backup-simplify]: Simplify re into re
2.958 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.958 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.959 * [backup-simplify]: Simplify (+ 1 0) into 1
2.959 * [backup-simplify]: Simplify (sqrt 1) into 1
2.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.960 * [backup-simplify]: Simplify (+ 0 0) into 0
2.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.960 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.961 * [taylor]: Taking taylor expansion of im in re
2.961 * [backup-simplify]: Simplify im into im
2.961 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.961 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.961 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.961 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.961 * [taylor]: Taking taylor expansion of re in re
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 1 into 1
2.961 * [backup-simplify]: Simplify (* 1 1) into 1
2.961 * [backup-simplify]: Simplify (/ 1 1) into 1
2.962 * [backup-simplify]: Simplify (+ 0 1) into 1
2.962 * [backup-simplify]: Simplify (sqrt 1) into 1
2.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.963 * [backup-simplify]: Simplify (+ 0 0) into 0
2.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.963 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.963 * [taylor]: Taking taylor expansion of im in re
2.963 * [backup-simplify]: Simplify im into im
2.963 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.964 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.964 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.964 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.964 * [taylor]: Taking taylor expansion of re in re
2.964 * [backup-simplify]: Simplify 0 into 0
2.964 * [backup-simplify]: Simplify 1 into 1
2.964 * [backup-simplify]: Simplify (* 1 1) into 1
2.964 * [backup-simplify]: Simplify (/ 1 1) into 1
2.964 * [backup-simplify]: Simplify (+ 0 1) into 1
2.965 * [backup-simplify]: Simplify (sqrt 1) into 1
2.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.966 * [backup-simplify]: Simplify (+ 0 0) into 0
2.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.966 * [taylor]: Taking taylor expansion of 1 in im
2.966 * [backup-simplify]: Simplify 1 into 1
2.966 * [taylor]: Taking taylor expansion of 0 in im
2.966 * [backup-simplify]: Simplify 0 into 0
2.966 * [backup-simplify]: Simplify 1 into 1
2.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.968 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.969 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.969 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.969 * [taylor]: Taking taylor expansion of 1/2 in im
2.969 * [backup-simplify]: Simplify 1/2 into 1/2
2.969 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.969 * [taylor]: Taking taylor expansion of im in im
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify 1 into 1
2.969 * [backup-simplify]: Simplify (* 1 1) into 1
2.969 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.970 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.972 * [backup-simplify]: Simplify (+ 0 0) into 0
2.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.973 * [taylor]: Taking taylor expansion of 0 in im
2.973 * [backup-simplify]: Simplify 0 into 0
2.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.974 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
2.974 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.974 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.974 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.974 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.974 * [taylor]: Taking taylor expansion of re in im
2.974 * [backup-simplify]: Simplify re into re
2.974 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.974 * [taylor]: Taking taylor expansion of im in im
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify 1 into 1
2.974 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.974 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.975 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.975 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.975 * [backup-simplify]: Simplify (+ 0 0) into 0
2.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.975 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.975 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.975 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.975 * [taylor]: Taking taylor expansion of re in re
2.975 * [backup-simplify]: Simplify 0 into 0
2.975 * [backup-simplify]: Simplify 1 into 1
2.975 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.975 * [taylor]: Taking taylor expansion of im in re
2.975 * [backup-simplify]: Simplify im into im
2.975 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.975 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.975 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.975 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.976 * [backup-simplify]: Simplify (+ 0 0) into 0
2.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.976 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.976 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.976 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.976 * [taylor]: Taking taylor expansion of re in re
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify 1 into 1
2.976 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.976 * [taylor]: Taking taylor expansion of im in re
2.976 * [backup-simplify]: Simplify im into im
2.976 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.976 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.976 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.976 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.976 * [backup-simplify]: Simplify (+ 0 0) into 0
2.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.977 * [taylor]: Taking taylor expansion of im in im
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 1 into 1
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [taylor]: Taking taylor expansion of 0 in im
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 1 into 1
2.977 * [backup-simplify]: Simplify (* 1 1) into 1
2.977 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.978 * [backup-simplify]: Simplify (+ 1 0) into 1
2.978 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.978 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.978 * [taylor]: Taking taylor expansion of 1/2 in im
2.978 * [backup-simplify]: Simplify 1/2 into 1/2
2.978 * [taylor]: Taking taylor expansion of im in im
2.978 * [backup-simplify]: Simplify 0 into 0
2.978 * [backup-simplify]: Simplify 1 into 1
2.978 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.979 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.980 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.980 * [backup-simplify]: Simplify (+ 0 0) into 0
2.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.980 * [taylor]: Taking taylor expansion of 0 in im
2.980 * [backup-simplify]: Simplify 0 into 0
2.980 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.981 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.981 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.981 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.981 * [taylor]: Taking taylor expansion of im in im
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify 1 into 1
2.982 * [backup-simplify]: Simplify (* 1 1) into 1
2.982 * [backup-simplify]: Simplify (/ 1 1) into 1
2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.982 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.982 * [taylor]: Taking taylor expansion of re in im
2.982 * [backup-simplify]: Simplify re into re
2.982 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.982 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.982 * [backup-simplify]: Simplify (+ 1 0) into 1
2.983 * [backup-simplify]: Simplify (sqrt 1) into 1
2.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.989 * [backup-simplify]: Simplify (+ 0 0) into 0
2.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.989 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.989 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.989 * [taylor]: Taking taylor expansion of im in re
2.989 * [backup-simplify]: Simplify im into im
2.989 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.990 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.990 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.990 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.990 * [taylor]: Taking taylor expansion of re in re
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [backup-simplify]: Simplify (* 1 1) into 1
2.990 * [backup-simplify]: Simplify (/ 1 1) into 1
2.990 * [backup-simplify]: Simplify (+ 0 1) into 1
2.991 * [backup-simplify]: Simplify (sqrt 1) into 1
2.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.992 * [backup-simplify]: Simplify (+ 0 0) into 0
2.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.992 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.992 * [taylor]: Taking taylor expansion of im in re
2.992 * [backup-simplify]: Simplify im into im
2.992 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.993 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.993 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.993 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.993 * [taylor]: Taking taylor expansion of re in re
2.993 * [backup-simplify]: Simplify 0 into 0
2.993 * [backup-simplify]: Simplify 1 into 1
2.993 * [backup-simplify]: Simplify (* 1 1) into 1
2.993 * [backup-simplify]: Simplify (/ 1 1) into 1
2.993 * [backup-simplify]: Simplify (+ 0 1) into 1
2.994 * [backup-simplify]: Simplify (sqrt 1) into 1
2.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.995 * [backup-simplify]: Simplify (+ 0 0) into 0
2.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.995 * [taylor]: Taking taylor expansion of 1 in im
2.995 * [backup-simplify]: Simplify 1 into 1
2.995 * [taylor]: Taking taylor expansion of 0 in im
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify 1 into 1
2.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.997 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.997 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.997 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.997 * [taylor]: Taking taylor expansion of 1/2 in im
2.997 * [backup-simplify]: Simplify 1/2 into 1/2
2.998 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.998 * [taylor]: Taking taylor expansion of im in im
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 1 into 1
2.998 * [backup-simplify]: Simplify (* 1 1) into 1
2.998 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.003 * [backup-simplify]: Simplify (+ 0 0) into 0
3.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.003 * [taylor]: Taking taylor expansion of 0 in im
3.003 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.006 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.006 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.006 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.006 * [taylor]: Taking taylor expansion of im in im
3.006 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify 1 into 1
3.007 * [backup-simplify]: Simplify (* 1 1) into 1
3.007 * [backup-simplify]: Simplify (/ 1 1) into 1
3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.007 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.007 * [taylor]: Taking taylor expansion of re in im
3.007 * [backup-simplify]: Simplify re into re
3.007 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.007 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.008 * [backup-simplify]: Simplify (+ 1 0) into 1
3.008 * [backup-simplify]: Simplify (sqrt 1) into 1
3.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.010 * [backup-simplify]: Simplify (+ 0 0) into 0
3.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.011 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.011 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.011 * [taylor]: Taking taylor expansion of im in re
3.011 * [backup-simplify]: Simplify im into im
3.011 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.011 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.011 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.011 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.011 * [taylor]: Taking taylor expansion of re in re
3.011 * [backup-simplify]: Simplify 0 into 0
3.011 * [backup-simplify]: Simplify 1 into 1
3.012 * [backup-simplify]: Simplify (* 1 1) into 1
3.012 * [backup-simplify]: Simplify (/ 1 1) into 1
3.013 * [backup-simplify]: Simplify (+ 0 1) into 1
3.013 * [backup-simplify]: Simplify (sqrt 1) into 1
3.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.015 * [backup-simplify]: Simplify (+ 0 0) into 0
3.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.016 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.016 * [taylor]: Taking taylor expansion of im in re
3.016 * [backup-simplify]: Simplify im into im
3.016 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.016 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.016 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.016 * [taylor]: Taking taylor expansion of re in re
3.016 * [backup-simplify]: Simplify 0 into 0
3.016 * [backup-simplify]: Simplify 1 into 1
3.017 * [backup-simplify]: Simplify (* 1 1) into 1
3.017 * [backup-simplify]: Simplify (/ 1 1) into 1
3.017 * [backup-simplify]: Simplify (+ 0 1) into 1
3.018 * [backup-simplify]: Simplify (sqrt 1) into 1
3.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.020 * [backup-simplify]: Simplify (+ 0 0) into 0
3.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.021 * [taylor]: Taking taylor expansion of 1 in im
3.021 * [backup-simplify]: Simplify 1 into 1
3.021 * [taylor]: Taking taylor expansion of 0 in im
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify 1 into 1
3.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.023 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.024 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.025 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.025 * [taylor]: Taking taylor expansion of 1/2 in im
3.025 * [backup-simplify]: Simplify 1/2 into 1/2
3.025 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.025 * [taylor]: Taking taylor expansion of im in im
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 1 into 1
3.025 * [backup-simplify]: Simplify (* 1 1) into 1
3.026 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.027 * [backup-simplify]: Simplify 0 into 0
3.027 * [backup-simplify]: Simplify 0 into 0
3.027 * [backup-simplify]: Simplify 0 into 0
3.027 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.030 * [backup-simplify]: Simplify (+ 0 0) into 0
3.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.031 * [taylor]: Taking taylor expansion of 0 in im
3.031 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.033 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
3.034 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
3.034 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
3.034 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
3.034 * [taylor]: Taking taylor expansion of re in im
3.034 * [backup-simplify]: Simplify re into re
3.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.034 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.034 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.034 * [taylor]: Taking taylor expansion of re in im
3.034 * [backup-simplify]: Simplify re into re
3.034 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.034 * [taylor]: Taking taylor expansion of im in im
3.034 * [backup-simplify]: Simplify 0 into 0
3.034 * [backup-simplify]: Simplify 1 into 1
3.034 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.034 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.034 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.034 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.035 * [backup-simplify]: Simplify (+ 0 0) into 0
3.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.035 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.035 * [taylor]: Taking taylor expansion of re in re
3.035 * [backup-simplify]: Simplify 0 into 0
3.035 * [backup-simplify]: Simplify 1 into 1
3.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.035 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.035 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.035 * [taylor]: Taking taylor expansion of re in re
3.035 * [backup-simplify]: Simplify 0 into 0
3.035 * [backup-simplify]: Simplify 1 into 1
3.035 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.035 * [taylor]: Taking taylor expansion of im in re
3.035 * [backup-simplify]: Simplify im into im
3.035 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.036 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.036 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.036 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.036 * [backup-simplify]: Simplify (+ 0 0) into 0
3.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.036 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.037 * [taylor]: Taking taylor expansion of re in re
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 1 into 1
3.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.037 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.037 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.037 * [taylor]: Taking taylor expansion of re in re
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 1 into 1
3.037 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.037 * [taylor]: Taking taylor expansion of im in re
3.037 * [backup-simplify]: Simplify im into im
3.037 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.037 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.037 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.037 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.038 * [backup-simplify]: Simplify (+ 0 0) into 0
3.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.038 * [backup-simplify]: Simplify (+ 0 im) into im
3.038 * [taylor]: Taking taylor expansion of im in im
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 1 into 1
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify (+ 1 0) into 1
3.039 * [taylor]: Taking taylor expansion of 1 in im
3.039 * [backup-simplify]: Simplify 1 into 1
3.039 * [backup-simplify]: Simplify 1 into 1
3.039 * [backup-simplify]: Simplify 1 into 1
3.039 * [backup-simplify]: Simplify (* 1 1) into 1
3.040 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.040 * [backup-simplify]: Simplify (+ 1 0) into 1
3.041 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.041 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.041 * [taylor]: Taking taylor expansion of 1/2 in im
3.041 * [backup-simplify]: Simplify 1/2 into 1/2
3.041 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.041 * [taylor]: Taking taylor expansion of im in im
3.041 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify 1 into 1
3.042 * [backup-simplify]: Simplify (/ 1 1) into 1
3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.043 * [backup-simplify]: Simplify 0 into 0
3.043 * [backup-simplify]: Simplify 0 into 0
3.043 * [backup-simplify]: Simplify 0 into 0
3.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.045 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.045 * [backup-simplify]: Simplify (+ 0 0) into 0
3.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.046 * [backup-simplify]: Simplify (+ 0 0) into 0
3.046 * [taylor]: Taking taylor expansion of 0 in im
3.046 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify 0 into 0
3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.048 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.049 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
3.049 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.049 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.049 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.049 * [taylor]: Taking taylor expansion of re in im
3.049 * [backup-simplify]: Simplify re into re
3.049 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.049 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.049 * [taylor]: Taking taylor expansion of im in im
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify 1 into 1
3.049 * [backup-simplify]: Simplify (* 1 1) into 1
3.050 * [backup-simplify]: Simplify (/ 1 1) into 1
3.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.050 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.050 * [taylor]: Taking taylor expansion of re in im
3.050 * [backup-simplify]: Simplify re into re
3.050 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.050 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.051 * [backup-simplify]: Simplify (+ 1 0) into 1
3.051 * [backup-simplify]: Simplify (sqrt 1) into 1
3.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.053 * [backup-simplify]: Simplify (+ 0 0) into 0
3.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.054 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.054 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.054 * [taylor]: Taking taylor expansion of re in re
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 1 into 1
3.054 * [backup-simplify]: Simplify (/ 1 1) into 1
3.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.054 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.054 * [taylor]: Taking taylor expansion of im in re
3.054 * [backup-simplify]: Simplify im into im
3.055 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.055 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.055 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.055 * [taylor]: Taking taylor expansion of re in re
3.055 * [backup-simplify]: Simplify 0 into 0
3.055 * [backup-simplify]: Simplify 1 into 1
3.055 * [backup-simplify]: Simplify (* 1 1) into 1
3.056 * [backup-simplify]: Simplify (/ 1 1) into 1
3.056 * [backup-simplify]: Simplify (+ 0 1) into 1
3.057 * [backup-simplify]: Simplify (sqrt 1) into 1
3.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.058 * [backup-simplify]: Simplify (+ 0 0) into 0
3.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.059 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.059 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.059 * [taylor]: Taking taylor expansion of re in re
3.059 * [backup-simplify]: Simplify 0 into 0
3.059 * [backup-simplify]: Simplify 1 into 1
3.060 * [backup-simplify]: Simplify (/ 1 1) into 1
3.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.060 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.060 * [taylor]: Taking taylor expansion of im in re
3.060 * [backup-simplify]: Simplify im into im
3.060 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.060 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.060 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.060 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.060 * [taylor]: Taking taylor expansion of re in re
3.060 * [backup-simplify]: Simplify 0 into 0
3.060 * [backup-simplify]: Simplify 1 into 1
3.061 * [backup-simplify]: Simplify (* 1 1) into 1
3.061 * [backup-simplify]: Simplify (/ 1 1) into 1
3.062 * [backup-simplify]: Simplify (+ 0 1) into 1
3.062 * [backup-simplify]: Simplify (sqrt 1) into 1
3.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.064 * [backup-simplify]: Simplify (+ 0 0) into 0
3.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.065 * [backup-simplify]: Simplify (+ 1 1) into 2
3.065 * [taylor]: Taking taylor expansion of 2 in im
3.065 * [backup-simplify]: Simplify 2 into 2
3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.066 * [backup-simplify]: Simplify (+ 0 0) into 0
3.066 * [taylor]: Taking taylor expansion of 0 in im
3.066 * [backup-simplify]: Simplify 0 into 0
3.066 * [backup-simplify]: Simplify 2 into 2
3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.070 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.071 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.072 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.072 * [taylor]: Taking taylor expansion of 1/2 in im
3.072 * [backup-simplify]: Simplify 1/2 into 1/2
3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.072 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.072 * [taylor]: Taking taylor expansion of im in im
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 1 into 1
3.072 * [backup-simplify]: Simplify (* 1 1) into 1
3.073 * [backup-simplify]: Simplify (/ 1 1) into 1
3.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.075 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify 0 into 0
3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.076 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.079 * [backup-simplify]: Simplify (+ 0 0) into 0
3.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.080 * [backup-simplify]: Simplify (+ 0 0) into 0
3.080 * [taylor]: Taking taylor expansion of 0 in im
3.080 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.083 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.084 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
3.085 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.085 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.085 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.085 * [taylor]: Taking taylor expansion of im in im
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify 1 into 1
3.085 * [backup-simplify]: Simplify (* 1 1) into 1
3.086 * [backup-simplify]: Simplify (/ 1 1) into 1
3.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.086 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.086 * [taylor]: Taking taylor expansion of re in im
3.086 * [backup-simplify]: Simplify re into re
3.086 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.086 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.087 * [backup-simplify]: Simplify (+ 1 0) into 1
3.087 * [backup-simplify]: Simplify (sqrt 1) into 1
3.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.089 * [backup-simplify]: Simplify (+ 0 0) into 0
3.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.090 * [taylor]: Taking taylor expansion of re in im
3.090 * [backup-simplify]: Simplify re into re
3.090 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.090 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.090 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.090 * [taylor]: Taking taylor expansion of im in re
3.090 * [backup-simplify]: Simplify im into im
3.090 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.090 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.090 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.090 * [taylor]: Taking taylor expansion of re in re
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 1 into 1
3.091 * [backup-simplify]: Simplify (* 1 1) into 1
3.091 * [backup-simplify]: Simplify (/ 1 1) into 1
3.092 * [backup-simplify]: Simplify (+ 0 1) into 1
3.092 * [backup-simplify]: Simplify (sqrt 1) into 1
3.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.094 * [backup-simplify]: Simplify (+ 0 0) into 0
3.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.095 * [taylor]: Taking taylor expansion of re in re
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 1 into 1
3.095 * [backup-simplify]: Simplify (/ 1 1) into 1
3.095 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.095 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.095 * [taylor]: Taking taylor expansion of im in re
3.095 * [backup-simplify]: Simplify im into im
3.096 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.096 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.096 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.096 * [taylor]: Taking taylor expansion of re in re
3.096 * [backup-simplify]: Simplify 0 into 0
3.096 * [backup-simplify]: Simplify 1 into 1
3.096 * [backup-simplify]: Simplify (* 1 1) into 1
3.097 * [backup-simplify]: Simplify (/ 1 1) into 1
3.097 * [backup-simplify]: Simplify (+ 0 1) into 1
3.097 * [backup-simplify]: Simplify (sqrt 1) into 1
3.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (+ 0 0) into 0
3.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.100 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.100 * [taylor]: Taking taylor expansion of re in re
3.100 * [backup-simplify]: Simplify 0 into 0
3.100 * [backup-simplify]: Simplify 1 into 1
3.101 * [backup-simplify]: Simplify (/ 1 1) into 1
3.101 * [backup-simplify]: Simplify (- 1) into -1
3.101 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.102 * [taylor]: Taking taylor expansion of 0 in im
3.102 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.103 * [backup-simplify]: Simplify (- 0) into 0
3.103 * [backup-simplify]: Simplify (+ 0 0) into 0
3.103 * [taylor]: Taking taylor expansion of 0 in im
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify 0 into 0
3.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.105 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.107 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.108 * [backup-simplify]: Simplify (- 0) into 0
3.108 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.108 * [taylor]: Taking taylor expansion of 1/2 in im
3.108 * [backup-simplify]: Simplify 1/2 into 1/2
3.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.108 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.108 * [taylor]: Taking taylor expansion of im in im
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 1 into 1
3.109 * [backup-simplify]: Simplify (* 1 1) into 1
3.109 * [backup-simplify]: Simplify (/ 1 1) into 1
3.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.111 * [backup-simplify]: Simplify 0 into 0
3.112 * [backup-simplify]: Simplify 0 into 0
3.112 * [backup-simplify]: Simplify 0 into 0
3.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.115 * [backup-simplify]: Simplify (+ 0 0) into 0
3.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.117 * [backup-simplify]: Simplify (- 0) into 0
3.117 * [backup-simplify]: Simplify (+ 0 0) into 0
3.117 * [taylor]: Taking taylor expansion of 0 in im
3.117 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.120 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify 0 into 0
3.120 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
3.121 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
3.121 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.121 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.121 * [taylor]: Taking taylor expansion of re in im
3.121 * [backup-simplify]: Simplify re into re
3.121 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.121 * [taylor]: Taking taylor expansion of im in im
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify 1 into 1
3.121 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.121 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.121 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.122 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.122 * [backup-simplify]: Simplify (+ 0 0) into 0
3.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.122 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.122 * [taylor]: Taking taylor expansion of re in re
3.122 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify 1 into 1
3.122 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.122 * [taylor]: Taking taylor expansion of im in re
3.122 * [backup-simplify]: Simplify im into im
3.122 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.123 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.123 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.123 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.123 * [backup-simplify]: Simplify (+ 0 0) into 0
3.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.124 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.124 * [taylor]: Taking taylor expansion of re in re
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify 1 into 1
3.124 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.124 * [taylor]: Taking taylor expansion of im in re
3.124 * [backup-simplify]: Simplify im into im
3.124 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.124 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.124 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.124 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.125 * [backup-simplify]: Simplify (+ 0 0) into 0
3.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.125 * [taylor]: Taking taylor expansion of im in im
3.125 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify 1 into 1
3.125 * [backup-simplify]: Simplify 0 into 0
3.125 * [taylor]: Taking taylor expansion of 0 in im
3.125 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify 1 into 1
3.126 * [backup-simplify]: Simplify (* 1 1) into 1
3.126 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.126 * [backup-simplify]: Simplify (+ 1 0) into 1
3.127 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.127 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.127 * [taylor]: Taking taylor expansion of 1/2 in im
3.127 * [backup-simplify]: Simplify 1/2 into 1/2
3.127 * [taylor]: Taking taylor expansion of im in im
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [backup-simplify]: Simplify 1 into 1
3.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.130 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.131 * [backup-simplify]: Simplify (+ 0 0) into 0
3.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.131 * [taylor]: Taking taylor expansion of 0 in im
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify 0 into 0
3.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.132 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.133 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.133 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.133 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.133 * [taylor]: Taking taylor expansion of im in im
3.133 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify 1 into 1
3.134 * [backup-simplify]: Simplify (* 1 1) into 1
3.134 * [backup-simplify]: Simplify (/ 1 1) into 1
3.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.134 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.134 * [taylor]: Taking taylor expansion of re in im
3.134 * [backup-simplify]: Simplify re into re
3.134 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.135 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.135 * [backup-simplify]: Simplify (+ 1 0) into 1
3.135 * [backup-simplify]: Simplify (sqrt 1) into 1
3.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.137 * [backup-simplify]: Simplify (+ 0 0) into 0
3.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.146 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.146 * [taylor]: Taking taylor expansion of im in re
3.146 * [backup-simplify]: Simplify im into im
3.146 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.146 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.146 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.146 * [taylor]: Taking taylor expansion of re in re
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.147 * [backup-simplify]: Simplify (* 1 1) into 1
3.147 * [backup-simplify]: Simplify (/ 1 1) into 1
3.148 * [backup-simplify]: Simplify (+ 0 1) into 1
3.148 * [backup-simplify]: Simplify (sqrt 1) into 1
3.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.150 * [backup-simplify]: Simplify (+ 0 0) into 0
3.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.151 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.151 * [taylor]: Taking taylor expansion of im in re
3.151 * [backup-simplify]: Simplify im into im
3.151 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.151 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.151 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.151 * [taylor]: Taking taylor expansion of re in re
3.151 * [backup-simplify]: Simplify 0 into 0
3.151 * [backup-simplify]: Simplify 1 into 1
3.151 * [backup-simplify]: Simplify (* 1 1) into 1
3.152 * [backup-simplify]: Simplify (/ 1 1) into 1
3.152 * [backup-simplify]: Simplify (+ 0 1) into 1
3.152 * [backup-simplify]: Simplify (sqrt 1) into 1
3.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.153 * [backup-simplify]: Simplify (+ 0 0) into 0
3.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.154 * [taylor]: Taking taylor expansion of 1 in im
3.154 * [backup-simplify]: Simplify 1 into 1
3.154 * [taylor]: Taking taylor expansion of 0 in im
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 1 into 1
3.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.155 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.156 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.156 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.156 * [taylor]: Taking taylor expansion of 1/2 in im
3.156 * [backup-simplify]: Simplify 1/2 into 1/2
3.156 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.156 * [taylor]: Taking taylor expansion of im in im
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 1 into 1
3.156 * [backup-simplify]: Simplify (* 1 1) into 1
3.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.157 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.159 * [backup-simplify]: Simplify (+ 0 0) into 0
3.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.160 * [taylor]: Taking taylor expansion of 0 in im
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.161 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.161 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.162 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.162 * [taylor]: Taking taylor expansion of im in im
3.162 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify 1 into 1
3.162 * [backup-simplify]: Simplify (* 1 1) into 1
3.162 * [backup-simplify]: Simplify (/ 1 1) into 1
3.162 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.162 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.162 * [taylor]: Taking taylor expansion of re in im
3.162 * [backup-simplify]: Simplify re into re
3.162 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.162 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.163 * [backup-simplify]: Simplify (+ 1 0) into 1
3.163 * [backup-simplify]: Simplify (sqrt 1) into 1
3.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.164 * [backup-simplify]: Simplify (+ 0 0) into 0
3.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.164 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.164 * [taylor]: Taking taylor expansion of im in re
3.164 * [backup-simplify]: Simplify im into im
3.164 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.165 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.165 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.165 * [taylor]: Taking taylor expansion of re in re
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify 1 into 1
3.165 * [backup-simplify]: Simplify (* 1 1) into 1
3.165 * [backup-simplify]: Simplify (/ 1 1) into 1
3.165 * [backup-simplify]: Simplify (+ 0 1) into 1
3.166 * [backup-simplify]: Simplify (sqrt 1) into 1
3.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.167 * [backup-simplify]: Simplify (+ 0 0) into 0
3.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.167 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.167 * [taylor]: Taking taylor expansion of im in re
3.167 * [backup-simplify]: Simplify im into im
3.167 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.168 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.168 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.168 * [taylor]: Taking taylor expansion of re in re
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 1 into 1
3.168 * [backup-simplify]: Simplify (* 1 1) into 1
3.168 * [backup-simplify]: Simplify (/ 1 1) into 1
3.168 * [backup-simplify]: Simplify (+ 0 1) into 1
3.169 * [backup-simplify]: Simplify (sqrt 1) into 1
3.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.170 * [backup-simplify]: Simplify (+ 0 0) into 0
3.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.170 * [taylor]: Taking taylor expansion of 1 in im
3.170 * [backup-simplify]: Simplify 1 into 1
3.170 * [taylor]: Taking taylor expansion of 0 in im
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 1 into 1
3.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.172 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.172 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.172 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.172 * [taylor]: Taking taylor expansion of 1/2 in im
3.172 * [backup-simplify]: Simplify 1/2 into 1/2
3.172 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.172 * [taylor]: Taking taylor expansion of im in im
3.172 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 1 into 1
3.173 * [backup-simplify]: Simplify (* 1 1) into 1
3.173 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.176 * [backup-simplify]: Simplify (+ 0 0) into 0
3.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.176 * [taylor]: Taking taylor expansion of 0 in im
3.176 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.177 * * * [progress]: simplifying candidates
3.180 * [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))))
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  im
  re
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  im
  re
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 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (- (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* h1 h1) (* h0 h0)))))
 (* (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* 1 1)
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* 2 (/ 1 2))
 (* 2 1)
 (* 2 (/ (/ 1 2) 2))
 (* 2 (/ 1 2))
 (* 2 (/ (/ 1 2) 2))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 1)
 (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (+ h1 h0)
 (* 2 h1)
 0
 h0
 h1
 (* -1 h1)
3.902 * * * [progress]: adding candidates to table
4.444 * * [progress]: iteration 3 / 4
4.444 * * * [progress]: picking best candidate
4.472 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))))>
4.472 * * * [progress]: localizing error
4.495 * * * [progress]: generating rewritten candidates
4.495 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
4.509 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
4.518 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
4.561 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2)
4.580 * * * [progress]: generating series expansions
4.580 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
4.580 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.581 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.581 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.581 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.581 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.581 * [taylor]: Taking taylor expansion of re in im
4.581 * [backup-simplify]: Simplify re into re
4.581 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.581 * [taylor]: Taking taylor expansion of im in im
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 1 into 1
4.581 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.581 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.581 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.581 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.582 * [backup-simplify]: Simplify (+ 0 0) into 0
4.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.582 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.582 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.582 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.582 * [taylor]: Taking taylor expansion of re in re
4.582 * [backup-simplify]: Simplify 0 into 0
4.582 * [backup-simplify]: Simplify 1 into 1
4.582 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.583 * [taylor]: Taking taylor expansion of im in re
4.583 * [backup-simplify]: Simplify im into im
4.583 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.583 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.583 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.583 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.583 * [backup-simplify]: Simplify (+ 0 0) into 0
4.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.584 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.584 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.584 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.584 * [taylor]: Taking taylor expansion of re in re
4.584 * [backup-simplify]: Simplify 0 into 0
4.584 * [backup-simplify]: Simplify 1 into 1
4.584 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.584 * [taylor]: Taking taylor expansion of im in re
4.584 * [backup-simplify]: Simplify im into im
4.584 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.584 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.584 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.584 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.585 * [backup-simplify]: Simplify (+ 0 0) into 0
4.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.585 * [taylor]: Taking taylor expansion of im in im
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 1 into 1
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [taylor]: Taking taylor expansion of 0 in im
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 1 into 1
4.586 * [backup-simplify]: Simplify (* 1 1) into 1
4.586 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.587 * [backup-simplify]: Simplify (+ 1 0) into 1
4.588 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.588 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.588 * [taylor]: Taking taylor expansion of 1/2 in im
4.588 * [backup-simplify]: Simplify 1/2 into 1/2
4.588 * [taylor]: Taking taylor expansion of im in im
4.588 * [backup-simplify]: Simplify 0 into 0
4.588 * [backup-simplify]: Simplify 1 into 1
4.588 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 0 into 0
4.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.591 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.591 * [backup-simplify]: Simplify (+ 0 0) into 0
4.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.591 * [taylor]: Taking taylor expansion of 0 in im
4.591 * [backup-simplify]: Simplify 0 into 0
4.591 * [backup-simplify]: Simplify 0 into 0
4.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.593 * [backup-simplify]: Simplify 0 into 0
4.593 * [backup-simplify]: Simplify 0 into 0
4.593 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.593 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.593 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.593 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.593 * [taylor]: Taking taylor expansion of im in im
4.593 * [backup-simplify]: Simplify 0 into 0
4.593 * [backup-simplify]: Simplify 1 into 1
4.594 * [backup-simplify]: Simplify (* 1 1) into 1
4.594 * [backup-simplify]: Simplify (/ 1 1) into 1
4.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.594 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.594 * [taylor]: Taking taylor expansion of re in im
4.594 * [backup-simplify]: Simplify re into re
4.594 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.595 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.595 * [backup-simplify]: Simplify (+ 1 0) into 1
4.596 * [backup-simplify]: Simplify (sqrt 1) into 1
4.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.597 * [backup-simplify]: Simplify (+ 0 0) into 0
4.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.599 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.599 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.599 * [taylor]: Taking taylor expansion of im in re
4.599 * [backup-simplify]: Simplify im into im
4.599 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.599 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.599 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.599 * [taylor]: Taking taylor expansion of re in re
4.599 * [backup-simplify]: Simplify 0 into 0
4.599 * [backup-simplify]: Simplify 1 into 1
4.600 * [backup-simplify]: Simplify (* 1 1) into 1
4.600 * [backup-simplify]: Simplify (/ 1 1) into 1
4.601 * [backup-simplify]: Simplify (+ 0 1) into 1
4.601 * [backup-simplify]: Simplify (sqrt 1) into 1
4.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.603 * [backup-simplify]: Simplify (+ 0 0) into 0
4.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.604 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.604 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.604 * [taylor]: Taking taylor expansion of im in re
4.604 * [backup-simplify]: Simplify im into im
4.604 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.604 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.604 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.604 * [taylor]: Taking taylor expansion of re in re
4.604 * [backup-simplify]: Simplify 0 into 0
4.604 * [backup-simplify]: Simplify 1 into 1
4.604 * [backup-simplify]: Simplify (* 1 1) into 1
4.605 * [backup-simplify]: Simplify (/ 1 1) into 1
4.605 * [backup-simplify]: Simplify (+ 0 1) into 1
4.606 * [backup-simplify]: Simplify (sqrt 1) into 1
4.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.607 * [backup-simplify]: Simplify (+ 0 0) into 0
4.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.608 * [taylor]: Taking taylor expansion of 1 in im
4.608 * [backup-simplify]: Simplify 1 into 1
4.608 * [taylor]: Taking taylor expansion of 0 in im
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify 1 into 1
4.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.611 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.612 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.612 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.612 * [taylor]: Taking taylor expansion of 1/2 in im
4.612 * [backup-simplify]: Simplify 1/2 into 1/2
4.612 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.612 * [taylor]: Taking taylor expansion of im in im
4.612 * [backup-simplify]: Simplify 0 into 0
4.612 * [backup-simplify]: Simplify 1 into 1
4.613 * [backup-simplify]: Simplify (* 1 1) into 1
4.613 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.618 * [backup-simplify]: Simplify (+ 0 0) into 0
4.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.618 * [taylor]: Taking taylor expansion of 0 in im
4.618 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.621 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.621 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.621 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.621 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.621 * [taylor]: Taking taylor expansion of im in im
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify 1 into 1
4.622 * [backup-simplify]: Simplify (* 1 1) into 1
4.622 * [backup-simplify]: Simplify (/ 1 1) into 1
4.622 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.622 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.622 * [taylor]: Taking taylor expansion of re in im
4.622 * [backup-simplify]: Simplify re into re
4.622 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.623 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.623 * [backup-simplify]: Simplify (+ 1 0) into 1
4.623 * [backup-simplify]: Simplify (sqrt 1) into 1
4.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.625 * [backup-simplify]: Simplify (+ 0 0) into 0
4.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.626 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.626 * [taylor]: Taking taylor expansion of im in re
4.626 * [backup-simplify]: Simplify im into im
4.626 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.627 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.627 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.627 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.627 * [taylor]: Taking taylor expansion of re in re
4.627 * [backup-simplify]: Simplify 0 into 0
4.627 * [backup-simplify]: Simplify 1 into 1
4.627 * [backup-simplify]: Simplify (* 1 1) into 1
4.628 * [backup-simplify]: Simplify (/ 1 1) into 1
4.628 * [backup-simplify]: Simplify (+ 0 1) into 1
4.628 * [backup-simplify]: Simplify (sqrt 1) into 1
4.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.630 * [backup-simplify]: Simplify (+ 0 0) into 0
4.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.631 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.631 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.631 * [taylor]: Taking taylor expansion of im in re
4.631 * [backup-simplify]: Simplify im into im
4.631 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.632 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.632 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.632 * [taylor]: Taking taylor expansion of re in re
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 1 into 1
4.632 * [backup-simplify]: Simplify (* 1 1) into 1
4.632 * [backup-simplify]: Simplify (/ 1 1) into 1
4.633 * [backup-simplify]: Simplify (+ 0 1) into 1
4.633 * [backup-simplify]: Simplify (sqrt 1) into 1
4.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.635 * [backup-simplify]: Simplify (+ 0 0) into 0
4.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.636 * [taylor]: Taking taylor expansion of 1 in im
4.636 * [backup-simplify]: Simplify 1 into 1
4.636 * [taylor]: Taking taylor expansion of 0 in im
4.636 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify 1 into 1
4.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.638 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.640 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.640 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.640 * [taylor]: Taking taylor expansion of 1/2 in im
4.640 * [backup-simplify]: Simplify 1/2 into 1/2
4.640 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.640 * [taylor]: Taking taylor expansion of im in im
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify 1 into 1
4.640 * [backup-simplify]: Simplify (* 1 1) into 1
4.641 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.646 * [backup-simplify]: Simplify (+ 0 0) into 0
4.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.646 * [taylor]: Taking taylor expansion of 0 in im
4.646 * [backup-simplify]: Simplify 0 into 0
4.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.649 * [backup-simplify]: Simplify 0 into 0
4.649 * [backup-simplify]: Simplify 0 into 0
4.649 * [backup-simplify]: Simplify 0 into 0
4.649 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.649 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1)
4.649 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.649 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.650 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.650 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.650 * [taylor]: Taking taylor expansion of re in im
4.650 * [backup-simplify]: Simplify re into re
4.650 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.650 * [taylor]: Taking taylor expansion of im in im
4.650 * [backup-simplify]: Simplify 0 into 0
4.650 * [backup-simplify]: Simplify 1 into 1
4.650 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.650 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.650 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.650 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.651 * [backup-simplify]: Simplify (+ 0 0) into 0
4.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.651 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.651 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.651 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.651 * [taylor]: Taking taylor expansion of re in re
4.651 * [backup-simplify]: Simplify 0 into 0
4.651 * [backup-simplify]: Simplify 1 into 1
4.651 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.651 * [taylor]: Taking taylor expansion of im in re
4.651 * [backup-simplify]: Simplify im into im
4.651 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.651 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.651 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.652 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.652 * [backup-simplify]: Simplify (+ 0 0) into 0
4.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.652 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.652 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.652 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.652 * [taylor]: Taking taylor expansion of re in re
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 1 into 1
4.652 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.652 * [taylor]: Taking taylor expansion of im in re
4.652 * [backup-simplify]: Simplify im into im
4.653 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.653 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.653 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.653 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.653 * [backup-simplify]: Simplify (+ 0 0) into 0
4.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.654 * [taylor]: Taking taylor expansion of im in im
4.654 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify 1 into 1
4.654 * [backup-simplify]: Simplify 0 into 0
4.654 * [taylor]: Taking taylor expansion of 0 in im
4.654 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify 1 into 1
4.654 * [backup-simplify]: Simplify (* 1 1) into 1
4.655 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.655 * [backup-simplify]: Simplify (+ 1 0) into 1
4.656 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.656 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.656 * [taylor]: Taking taylor expansion of 1/2 in im
4.656 * [backup-simplify]: Simplify 1/2 into 1/2
4.656 * [taylor]: Taking taylor expansion of im in im
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 1 into 1
4.657 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.657 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.659 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.660 * [backup-simplify]: Simplify (+ 0 0) into 0
4.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.660 * [taylor]: Taking taylor expansion of 0 in im
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.661 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.661 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.662 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.662 * [taylor]: Taking taylor expansion of im in im
4.662 * [backup-simplify]: Simplify 0 into 0
4.662 * [backup-simplify]: Simplify 1 into 1
4.662 * [backup-simplify]: Simplify (* 1 1) into 1
4.662 * [backup-simplify]: Simplify (/ 1 1) into 1
4.663 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.663 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.663 * [taylor]: Taking taylor expansion of re in im
4.663 * [backup-simplify]: Simplify re into re
4.663 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.663 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.663 * [backup-simplify]: Simplify (+ 1 0) into 1
4.664 * [backup-simplify]: Simplify (sqrt 1) into 1
4.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.666 * [backup-simplify]: Simplify (+ 0 0) into 0
4.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.667 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.667 * [taylor]: Taking taylor expansion of im in re
4.667 * [backup-simplify]: Simplify im into im
4.667 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.667 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.667 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.667 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.667 * [taylor]: Taking taylor expansion of re in re
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 1 into 1
4.667 * [backup-simplify]: Simplify (* 1 1) into 1
4.668 * [backup-simplify]: Simplify (/ 1 1) into 1
4.668 * [backup-simplify]: Simplify (+ 0 1) into 1
4.669 * [backup-simplify]: Simplify (sqrt 1) into 1
4.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.670 * [backup-simplify]: Simplify (+ 0 0) into 0
4.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.671 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.671 * [taylor]: Taking taylor expansion of im in re
4.671 * [backup-simplify]: Simplify im into im
4.672 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.672 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.672 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.672 * [taylor]: Taking taylor expansion of re in re
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 1 into 1
4.672 * [backup-simplify]: Simplify (* 1 1) into 1
4.673 * [backup-simplify]: Simplify (/ 1 1) into 1
4.673 * [backup-simplify]: Simplify (+ 0 1) into 1
4.673 * [backup-simplify]: Simplify (sqrt 1) into 1
4.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (+ 0 0) into 0
4.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.676 * [taylor]: Taking taylor expansion of 1 in im
4.676 * [backup-simplify]: Simplify 1 into 1
4.676 * [taylor]: Taking taylor expansion of 0 in im
4.676 * [backup-simplify]: Simplify 0 into 0
4.676 * [backup-simplify]: Simplify 1 into 1
4.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.678 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.680 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.680 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.680 * [taylor]: Taking taylor expansion of 1/2 in im
4.680 * [backup-simplify]: Simplify 1/2 into 1/2
4.680 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.680 * [taylor]: Taking taylor expansion of im in im
4.680 * [backup-simplify]: Simplify 0 into 0
4.680 * [backup-simplify]: Simplify 1 into 1
4.680 * [backup-simplify]: Simplify (* 1 1) into 1
4.681 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.685 * [backup-simplify]: Simplify (+ 0 0) into 0
4.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.686 * [taylor]: Taking taylor expansion of 0 in im
4.686 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.689 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.689 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.689 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.689 * [taylor]: Taking taylor expansion of im in im
4.689 * [backup-simplify]: Simplify 0 into 0
4.689 * [backup-simplify]: Simplify 1 into 1
4.689 * [backup-simplify]: Simplify (* 1 1) into 1
4.690 * [backup-simplify]: Simplify (/ 1 1) into 1
4.690 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.690 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.690 * [taylor]: Taking taylor expansion of re in im
4.690 * [backup-simplify]: Simplify re into re
4.690 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.690 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.691 * [backup-simplify]: Simplify (+ 1 0) into 1
4.691 * [backup-simplify]: Simplify (sqrt 1) into 1
4.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.693 * [backup-simplify]: Simplify (+ 0 0) into 0
4.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.694 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.694 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.694 * [taylor]: Taking taylor expansion of im in re
4.694 * [backup-simplify]: Simplify im into im
4.694 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.694 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.694 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.694 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.694 * [taylor]: Taking taylor expansion of re in re
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify 1 into 1
4.695 * [backup-simplify]: Simplify (* 1 1) into 1
4.695 * [backup-simplify]: Simplify (/ 1 1) into 1
4.696 * [backup-simplify]: Simplify (+ 0 1) into 1
4.696 * [backup-simplify]: Simplify (sqrt 1) into 1
4.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.698 * [backup-simplify]: Simplify (+ 0 0) into 0
4.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.699 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.699 * [taylor]: Taking taylor expansion of im in re
4.699 * [backup-simplify]: Simplify im into im
4.699 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.699 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.699 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.699 * [taylor]: Taking taylor expansion of re in re
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 1 into 1
4.699 * [backup-simplify]: Simplify (* 1 1) into 1
4.700 * [backup-simplify]: Simplify (/ 1 1) into 1
4.700 * [backup-simplify]: Simplify (+ 0 1) into 1
4.700 * [backup-simplify]: Simplify (sqrt 1) into 1
4.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.701 * [backup-simplify]: Simplify (+ 0 0) into 0
4.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.702 * [taylor]: Taking taylor expansion of 1 in im
4.702 * [backup-simplify]: Simplify 1 into 1
4.702 * [taylor]: Taking taylor expansion of 0 in im
4.702 * [backup-simplify]: Simplify 0 into 0
4.702 * [backup-simplify]: Simplify 1 into 1
4.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.703 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.704 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.704 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.704 * [taylor]: Taking taylor expansion of 1/2 in im
4.704 * [backup-simplify]: Simplify 1/2 into 1/2
4.704 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.704 * [taylor]: Taking taylor expansion of im in im
4.704 * [backup-simplify]: Simplify 0 into 0
4.704 * [backup-simplify]: Simplify 1 into 1
4.704 * [backup-simplify]: Simplify (* 1 1) into 1
4.704 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.707 * [backup-simplify]: Simplify (+ 0 0) into 0
4.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.707 * [taylor]: Taking taylor expansion of 0 in im
4.707 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.709 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
4.709 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
4.709 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
4.709 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
4.709 * [taylor]: Taking taylor expansion of re in im
4.709 * [backup-simplify]: Simplify re into re
4.709 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.709 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.709 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.709 * [taylor]: Taking taylor expansion of re in im
4.709 * [backup-simplify]: Simplify re into re
4.709 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.709 * [taylor]: Taking taylor expansion of im in im
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 1 into 1
4.710 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.710 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.710 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.710 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.710 * [backup-simplify]: Simplify (+ 0 0) into 0
4.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.710 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
4.710 * [taylor]: Taking taylor expansion of re in re
4.710 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify 1 into 1
4.710 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.710 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.710 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.710 * [taylor]: Taking taylor expansion of re in re
4.710 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify 1 into 1
4.710 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.710 * [taylor]: Taking taylor expansion of im in re
4.710 * [backup-simplify]: Simplify im into im
4.710 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.711 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.711 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.711 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.711 * [backup-simplify]: Simplify (+ 0 0) into 0
4.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.711 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
4.711 * [taylor]: Taking taylor expansion of re in re
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 1 into 1
4.711 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.711 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.711 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.711 * [taylor]: Taking taylor expansion of re in re
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 1 into 1
4.711 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.711 * [taylor]: Taking taylor expansion of im in re
4.711 * [backup-simplify]: Simplify im into im
4.711 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.711 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.711 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.711 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.712 * [backup-simplify]: Simplify (+ 0 0) into 0
4.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.712 * [backup-simplify]: Simplify (+ 0 im) into im
4.712 * [taylor]: Taking taylor expansion of im in im
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify 1 into 1
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify (+ 1 0) into 1
4.712 * [taylor]: Taking taylor expansion of 1 in im
4.712 * [backup-simplify]: Simplify 1 into 1
4.712 * [backup-simplify]: Simplify 1 into 1
4.712 * [backup-simplify]: Simplify 1 into 1
4.713 * [backup-simplify]: Simplify (* 1 1) into 1
4.713 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.713 * [backup-simplify]: Simplify (+ 1 0) into 1
4.714 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.714 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
4.714 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.714 * [taylor]: Taking taylor expansion of 1/2 in im
4.714 * [backup-simplify]: Simplify 1/2 into 1/2
4.714 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.714 * [taylor]: Taking taylor expansion of im in im
4.714 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify 1 into 1
4.719 * [backup-simplify]: Simplify (/ 1 1) into 1
4.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.722 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.722 * [backup-simplify]: Simplify (+ 0 0) into 0
4.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.722 * [backup-simplify]: Simplify (+ 0 0) into 0
4.722 * [taylor]: Taking taylor expansion of 0 in im
4.722 * [backup-simplify]: Simplify 0 into 0
4.722 * [backup-simplify]: Simplify 0 into 0
4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.724 * [backup-simplify]: Simplify 0 into 0
4.724 * [backup-simplify]: Simplify 0 into 0
4.724 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
4.724 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3)) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
4.724 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
4.724 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.724 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.724 * [taylor]: Taking taylor expansion of re in im
4.724 * [backup-simplify]: Simplify re into re
4.724 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.724 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.725 * [taylor]: Taking taylor expansion of im in im
4.725 * [backup-simplify]: Simplify 0 into 0
4.725 * [backup-simplify]: Simplify 1 into 1
4.725 * [backup-simplify]: Simplify (* 1 1) into 1
4.725 * [backup-simplify]: Simplify (/ 1 1) into 1
4.725 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.725 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.725 * [taylor]: Taking taylor expansion of re in im
4.725 * [backup-simplify]: Simplify re into re
4.725 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.725 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.726 * [backup-simplify]: Simplify (+ 1 0) into 1
4.726 * [backup-simplify]: Simplify (sqrt 1) into 1
4.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.727 * [backup-simplify]: Simplify (+ 0 0) into 0
4.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.727 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.727 * [taylor]: Taking taylor expansion of re in re
4.727 * [backup-simplify]: Simplify 0 into 0
4.727 * [backup-simplify]: Simplify 1 into 1
4.728 * [backup-simplify]: Simplify (/ 1 1) into 1
4.728 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.728 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.728 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.728 * [taylor]: Taking taylor expansion of im in re
4.728 * [backup-simplify]: Simplify im into im
4.728 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.728 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.728 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.728 * [taylor]: Taking taylor expansion of re in re
4.728 * [backup-simplify]: Simplify 0 into 0
4.728 * [backup-simplify]: Simplify 1 into 1
4.728 * [backup-simplify]: Simplify (* 1 1) into 1
4.729 * [backup-simplify]: Simplify (/ 1 1) into 1
4.729 * [backup-simplify]: Simplify (+ 0 1) into 1
4.729 * [backup-simplify]: Simplify (sqrt 1) into 1
4.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.730 * [backup-simplify]: Simplify (+ 0 0) into 0
4.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.731 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.731 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.731 * [taylor]: Taking taylor expansion of re in re
4.731 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify 1 into 1
4.731 * [backup-simplify]: Simplify (/ 1 1) into 1
4.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.731 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.731 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.731 * [taylor]: Taking taylor expansion of im in re
4.731 * [backup-simplify]: Simplify im into im
4.731 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.731 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.731 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.731 * [taylor]: Taking taylor expansion of re in re
4.731 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify 1 into 1
4.731 * [backup-simplify]: Simplify (* 1 1) into 1
4.732 * [backup-simplify]: Simplify (/ 1 1) into 1
4.732 * [backup-simplify]: Simplify (+ 0 1) into 1
4.732 * [backup-simplify]: Simplify (sqrt 1) into 1
4.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.733 * [backup-simplify]: Simplify (+ 0 0) into 0
4.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.734 * [backup-simplify]: Simplify (+ 1 1) into 2
4.734 * [taylor]: Taking taylor expansion of 2 in im
4.734 * [backup-simplify]: Simplify 2 into 2
4.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.735 * [backup-simplify]: Simplify (+ 0 0) into 0
4.735 * [taylor]: Taking taylor expansion of 0 in im
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 2 into 2
4.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.738 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.739 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.739 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.739 * [taylor]: Taking taylor expansion of 1/2 in im
4.739 * [backup-simplify]: Simplify 1/2 into 1/2
4.739 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.739 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.739 * [taylor]: Taking taylor expansion of im in im
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify 1 into 1
4.740 * [backup-simplify]: Simplify (* 1 1) into 1
4.740 * [backup-simplify]: Simplify (/ 1 1) into 1
4.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.743 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify 0 into 0
4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.744 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.747 * [backup-simplify]: Simplify (+ 0 0) into 0
4.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.748 * [backup-simplify]: Simplify (+ 0 0) into 0
4.748 * [taylor]: Taking taylor expansion of 0 in im
4.748 * [backup-simplify]: Simplify 0 into 0
4.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.751 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
4.753 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3)) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
4.753 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
4.753 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.753 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.753 * [taylor]: Taking taylor expansion of im in im
4.753 * [backup-simplify]: Simplify 0 into 0
4.753 * [backup-simplify]: Simplify 1 into 1
4.753 * [backup-simplify]: Simplify (* 1 1) into 1
4.754 * [backup-simplify]: Simplify (/ 1 1) into 1
4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.754 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.754 * [taylor]: Taking taylor expansion of re in im
4.754 * [backup-simplify]: Simplify re into re
4.754 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.754 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.754 * [backup-simplify]: Simplify (+ 1 0) into 1
4.755 * [backup-simplify]: Simplify (sqrt 1) into 1
4.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.757 * [backup-simplify]: Simplify (+ 0 0) into 0
4.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.757 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.757 * [taylor]: Taking taylor expansion of re in im
4.757 * [backup-simplify]: Simplify re into re
4.758 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.758 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.758 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.758 * [taylor]: Taking taylor expansion of im in re
4.758 * [backup-simplify]: Simplify im into im
4.758 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.758 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.758 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.758 * [taylor]: Taking taylor expansion of re in re
4.758 * [backup-simplify]: Simplify 0 into 0
4.758 * [backup-simplify]: Simplify 1 into 1
4.759 * [backup-simplify]: Simplify (* 1 1) into 1
4.759 * [backup-simplify]: Simplify (/ 1 1) into 1
4.759 * [backup-simplify]: Simplify (+ 0 1) into 1
4.760 * [backup-simplify]: Simplify (sqrt 1) into 1
4.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.762 * [backup-simplify]: Simplify (+ 0 0) into 0
4.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.762 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.763 * [taylor]: Taking taylor expansion of re in re
4.763 * [backup-simplify]: Simplify 0 into 0
4.763 * [backup-simplify]: Simplify 1 into 1
4.763 * [backup-simplify]: Simplify (/ 1 1) into 1
4.763 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.763 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.763 * [taylor]: Taking taylor expansion of im in re
4.763 * [backup-simplify]: Simplify im into im
4.763 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.764 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.764 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.764 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.764 * [taylor]: Taking taylor expansion of re in re
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify 1 into 1
4.764 * [backup-simplify]: Simplify (* 1 1) into 1
4.764 * [backup-simplify]: Simplify (/ 1 1) into 1
4.765 * [backup-simplify]: Simplify (+ 0 1) into 1
4.765 * [backup-simplify]: Simplify (sqrt 1) into 1
4.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.767 * [backup-simplify]: Simplify (+ 0 0) into 0
4.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.768 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.768 * [taylor]: Taking taylor expansion of re in re
4.768 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify 1 into 1
4.768 * [backup-simplify]: Simplify (/ 1 1) into 1
4.769 * [backup-simplify]: Simplify (- 1) into -1
4.769 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.769 * [taylor]: Taking taylor expansion of 0 in im
4.769 * [backup-simplify]: Simplify 0 into 0
4.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.770 * [backup-simplify]: Simplify (- 0) into 0
4.771 * [backup-simplify]: Simplify (+ 0 0) into 0
4.771 * [taylor]: Taking taylor expansion of 0 in im
4.771 * [backup-simplify]: Simplify 0 into 0
4.771 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.773 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.774 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.775 * [backup-simplify]: Simplify (- 0) into 0
4.775 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.775 * [taylor]: Taking taylor expansion of 1/2 in im
4.776 * [backup-simplify]: Simplify 1/2 into 1/2
4.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.776 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.776 * [taylor]: Taking taylor expansion of im in im
4.776 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify 1 into 1
4.776 * [backup-simplify]: Simplify (* 1 1) into 1
4.776 * [backup-simplify]: Simplify (/ 1 1) into 1
4.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.782 * [backup-simplify]: Simplify (+ 0 0) into 0
4.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.784 * [backup-simplify]: Simplify (- 0) into 0
4.784 * [backup-simplify]: Simplify (+ 0 0) into 0
4.784 * [taylor]: Taking taylor expansion of 0 in im
4.784 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.787 * [backup-simplify]: Simplify 0 into 0
4.787 * [backup-simplify]: Simplify 0 into 0
4.787 * [backup-simplify]: Simplify 0 into 0
4.787 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2)
4.788 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3)
4.788 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in (re im) around 0
4.788 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in im
4.788 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in im
4.788 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in im
4.788 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in im
4.788 * [taylor]: Taking taylor expansion of 1/8 in im
4.788 * [backup-simplify]: Simplify 1/8 into 1/8
4.788 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
4.788 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.788 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.788 * [taylor]: Taking taylor expansion of re in im
4.788 * [backup-simplify]: Simplify re into re
4.788 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.788 * [taylor]: Taking taylor expansion of im in im
4.788 * [backup-simplify]: Simplify 0 into 0
4.788 * [backup-simplify]: Simplify 1 into 1
4.788 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.788 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.788 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
4.789 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2)))
4.789 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8)
4.789 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
4.789 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
4.789 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
4.789 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
4.789 * [taylor]: Taking taylor expansion of 1/8 in re
4.789 * [backup-simplify]: Simplify 1/8 into 1/8
4.789 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
4.789 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.789 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.789 * [taylor]: Taking taylor expansion of re in re
4.789 * [backup-simplify]: Simplify 0 into 0
4.789 * [backup-simplify]: Simplify 1 into 1
4.789 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.789 * [taylor]: Taking taylor expansion of im in re
4.789 * [backup-simplify]: Simplify im into im
4.789 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.789 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.790 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
4.790 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
4.790 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
4.790 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
4.790 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
4.790 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
4.790 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
4.790 * [taylor]: Taking taylor expansion of 1/8 in re
4.790 * [backup-simplify]: Simplify 1/8 into 1/8
4.790 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
4.790 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.790 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.790 * [taylor]: Taking taylor expansion of re in re
4.790 * [backup-simplify]: Simplify 0 into 0
4.790 * [backup-simplify]: Simplify 1 into 1
4.790 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.790 * [taylor]: Taking taylor expansion of im in re
4.790 * [backup-simplify]: Simplify im into im
4.790 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.791 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.791 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
4.791 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
4.791 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
4.791 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (pow (pow im 2) 1/8)) into (sqrt im)
4.792 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (sqrt im)) into (pow (pow im 3) 1/4)
4.792 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im
4.792 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
4.792 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im
4.792 * [taylor]: Taking taylor expansion of 1/4 in im
4.792 * [backup-simplify]: Simplify 1/4 into 1/4
4.792 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im
4.792 * [taylor]: Taking taylor expansion of (pow im 3) in im
4.792 * [taylor]: Taking taylor expansion of im in im
4.792 * [backup-simplify]: Simplify 0 into 0
4.792 * [backup-simplify]: Simplify 1 into 1
4.792 * [backup-simplify]: Simplify (* 1 1) into 1
4.793 * [backup-simplify]: Simplify (* 1 1) into 1
4.793 * [backup-simplify]: Simplify (log 1) into 0
4.794 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
4.794 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im))
4.794 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4)
4.794 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4)
4.794 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.795 * [backup-simplify]: Simplify (+ 0 0) into 0
4.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
4.796 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow im 2)))) into 0
4.797 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.798 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (pow (pow im 2) 1/8))) into 0
4.798 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (sqrt im))) into 0
4.798 * [taylor]: Taking taylor expansion of 0 in im
4.798 * [backup-simplify]: Simplify 0 into 0
4.798 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.801 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
4.802 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
4.803 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
4.803 * [backup-simplify]: Simplify 0 into 0
4.803 * [backup-simplify]: Simplify (* 1 1) into 1
4.804 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.804 * [backup-simplify]: Simplify (+ 1 0) into 1
4.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
4.807 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/8 (/ 1 (pow im 2)))
4.808 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
4.810 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (pow im 2) 1/8)))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
4.811 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
4.811 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
4.811 * [taylor]: Taking taylor expansion of 3/8 in im
4.811 * [backup-simplify]: Simplify 3/8 into 3/8
4.811 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
4.811 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
4.811 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im
4.811 * [taylor]: Taking taylor expansion of 1/4 in im
4.811 * [backup-simplify]: Simplify 1/4 into 1/4
4.811 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
4.811 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
4.811 * [taylor]: Taking taylor expansion of (pow im 5) in im
4.811 * [taylor]: Taking taylor expansion of im in im
4.811 * [backup-simplify]: Simplify 0 into 0
4.811 * [backup-simplify]: Simplify 1 into 1
4.811 * [backup-simplify]: Simplify (* 1 1) into 1
4.812 * [backup-simplify]: Simplify (* 1 1) into 1
4.812 * [backup-simplify]: Simplify (* 1 1) into 1
4.812 * [backup-simplify]: Simplify (/ 1 1) into 1
4.812 * [backup-simplify]: Simplify (log 1) into 0
4.813 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
4.813 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
4.813 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
4.813 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
4.813 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
4.813 * [backup-simplify]: Simplify 0 into 0
4.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.816 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.816 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
4.817 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
4.818 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.818 * [backup-simplify]: Simplify 0 into 0
4.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.819 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.819 * [backup-simplify]: Simplify (+ 0 0) into 0
4.821 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
4.821 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
4.823 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.823 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow (pow im 2) 1/8))))) into 0
4.824 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0
4.824 * [taylor]: Taking taylor expansion of 0 in im
4.824 * [backup-simplify]: Simplify 0 into 0
4.824 * [backup-simplify]: Simplify 0 into 0
4.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.827 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
4.827 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
4.828 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
4.828 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
4.828 * [backup-simplify]: Simplify 0 into 0
4.828 * [backup-simplify]: Simplify 0 into 0
4.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.832 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.833 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
4.833 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
4.834 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
4.835 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3)
4.835 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
4.835 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
4.835 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
4.835 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.835 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.835 * [taylor]: Taking taylor expansion of 1/8 in im
4.835 * [backup-simplify]: Simplify 1/8 into 1/8
4.835 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.835 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.835 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.835 * [taylor]: Taking taylor expansion of im in im
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * [backup-simplify]: Simplify 1 into 1
4.836 * [backup-simplify]: Simplify (* 1 1) into 1
4.836 * [backup-simplify]: Simplify (/ 1 1) into 1
4.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.836 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.836 * [taylor]: Taking taylor expansion of re in im
4.836 * [backup-simplify]: Simplify re into re
4.836 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.836 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.837 * [backup-simplify]: Simplify (+ 1 0) into 1
4.837 * [backup-simplify]: Simplify (log 1) into 0
4.837 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.837 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
4.837 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
4.837 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
4.837 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
4.837 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.837 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.837 * [taylor]: Taking taylor expansion of 1/8 in re
4.837 * [backup-simplify]: Simplify 1/8 into 1/8
4.837 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.837 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.837 * [taylor]: Taking taylor expansion of im in re
4.837 * [backup-simplify]: Simplify im into im
4.837 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.838 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.838 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.838 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.838 * [taylor]: Taking taylor expansion of re in re
4.838 * [backup-simplify]: Simplify 0 into 0
4.838 * [backup-simplify]: Simplify 1 into 1
4.838 * [backup-simplify]: Simplify (* 1 1) into 1
4.838 * [backup-simplify]: Simplify (/ 1 1) into 1
4.839 * [backup-simplify]: Simplify (+ 0 1) into 1
4.839 * [backup-simplify]: Simplify (log 1) into 0
4.839 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.840 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
4.840 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
4.840 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
4.840 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
4.840 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.840 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.840 * [taylor]: Taking taylor expansion of 1/8 in re
4.840 * [backup-simplify]: Simplify 1/8 into 1/8
4.840 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.840 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.840 * [taylor]: Taking taylor expansion of im in re
4.840 * [backup-simplify]: Simplify im into im
4.840 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.840 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.840 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.840 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.840 * [taylor]: Taking taylor expansion of re in re
4.840 * [backup-simplify]: Simplify 0 into 0
4.841 * [backup-simplify]: Simplify 1 into 1
4.841 * [backup-simplify]: Simplify (* 1 1) into 1
4.841 * [backup-simplify]: Simplify (/ 1 1) into 1
4.842 * [backup-simplify]: Simplify (+ 0 1) into 1
4.842 * [backup-simplify]: Simplify (log 1) into 0
4.843 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.843 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
4.843 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
4.843 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
4.843 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
4.843 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
4.844 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
4.844 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
4.844 * [taylor]: Taking taylor expansion of 1/4 in im
4.844 * [backup-simplify]: Simplify 1/4 into 1/4
4.844 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
4.844 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
4.844 * [taylor]: Taking taylor expansion of (pow re 3) in im
4.844 * [taylor]: Taking taylor expansion of re in im
4.844 * [backup-simplify]: Simplify re into re
4.844 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.844 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
4.844 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
4.844 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
4.844 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
4.845 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
4.845 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
4.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.847 * [backup-simplify]: Simplify (+ 0 0) into 0
4.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.857 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.857 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
4.858 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.859 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
4.859 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
4.859 * [taylor]: Taking taylor expansion of 0 in im
4.859 * [backup-simplify]: Simplify 0 into 0
4.859 * [backup-simplify]: Simplify 0 into 0
4.859 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.860 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
4.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
4.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
4.862 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
4.863 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.863 * [backup-simplify]: Simplify 0 into 0
4.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.865 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.868 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
4.868 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.869 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
4.871 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
4.873 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
4.874 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
4.874 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
4.874 * [taylor]: Taking taylor expansion of 3/8 in im
4.874 * [backup-simplify]: Simplify 3/8 into 3/8
4.875 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
4.875 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
4.875 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
4.875 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
4.875 * [taylor]: Taking taylor expansion of 1/4 in im
4.875 * [backup-simplify]: Simplify 1/4 into 1/4
4.875 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
4.875 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
4.875 * [taylor]: Taking taylor expansion of (pow re 3) in im
4.875 * [taylor]: Taking taylor expansion of re in im
4.875 * [backup-simplify]: Simplify re into re
4.875 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.875 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
4.875 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
4.875 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
4.876 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
4.876 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
4.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.876 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.876 * [taylor]: Taking taylor expansion of im in im
4.876 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify 1 into 1
4.877 * [backup-simplify]: Simplify (* 1 1) into 1
4.877 * [backup-simplify]: Simplify (/ 1 1) into 1
4.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.881 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.881 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
4.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
4.882 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
4.883 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
4.884 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.885 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.885 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
4.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
4.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
4.889 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
4.890 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.891 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
4.892 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
4.892 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
4.894 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
4.894 * [backup-simplify]: Simplify 0 into 0
4.894 * [backup-simplify]: Simplify 0 into 0
4.894 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.895 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
4.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
4.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
4.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
4.900 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.900 * [backup-simplify]: Simplify 0 into 0
4.900 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.903 * [backup-simplify]: Simplify (+ 0 0) into 0
4.907 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.908 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.911 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
4.914 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.915 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
4.916 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
4.917 * [taylor]: Taking taylor expansion of 0 in im
4.917 * [backup-simplify]: Simplify 0 into 0
4.917 * [backup-simplify]: Simplify 0 into 0
4.917 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4)
4.918 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3)
4.918 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
4.918 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
4.918 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
4.918 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.918 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.918 * [taylor]: Taking taylor expansion of 1/8 in im
4.918 * [backup-simplify]: Simplify 1/8 into 1/8
4.918 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.918 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.918 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.918 * [taylor]: Taking taylor expansion of im in im
4.918 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify 1 into 1
4.919 * [backup-simplify]: Simplify (* 1 1) into 1
4.919 * [backup-simplify]: Simplify (/ 1 1) into 1
4.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.919 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.919 * [taylor]: Taking taylor expansion of re in im
4.919 * [backup-simplify]: Simplify re into re
4.919 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.920 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.920 * [backup-simplify]: Simplify (+ 1 0) into 1
4.920 * [backup-simplify]: Simplify (log 1) into 0
4.921 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.921 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
4.921 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
4.921 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
4.921 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
4.921 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.921 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.921 * [taylor]: Taking taylor expansion of 1/8 in re
4.921 * [backup-simplify]: Simplify 1/8 into 1/8
4.921 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.921 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.922 * [taylor]: Taking taylor expansion of im in re
4.922 * [backup-simplify]: Simplify im into im
4.922 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.922 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.922 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.922 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.922 * [taylor]: Taking taylor expansion of re in re
4.922 * [backup-simplify]: Simplify 0 into 0
4.922 * [backup-simplify]: Simplify 1 into 1
4.922 * [backup-simplify]: Simplify (* 1 1) into 1
4.923 * [backup-simplify]: Simplify (/ 1 1) into 1
4.923 * [backup-simplify]: Simplify (+ 0 1) into 1
4.924 * [backup-simplify]: Simplify (log 1) into 0
4.924 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.924 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
4.924 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
4.924 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
4.924 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
4.924 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.924 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.925 * [taylor]: Taking taylor expansion of 1/8 in re
4.925 * [backup-simplify]: Simplify 1/8 into 1/8
4.925 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.925 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.925 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.925 * [taylor]: Taking taylor expansion of im in re
4.925 * [backup-simplify]: Simplify im into im
4.925 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.925 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.925 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.925 * [taylor]: Taking taylor expansion of re in re
4.925 * [backup-simplify]: Simplify 0 into 0
4.925 * [backup-simplify]: Simplify 1 into 1
4.925 * [backup-simplify]: Simplify (* 1 1) into 1
4.926 * [backup-simplify]: Simplify (/ 1 1) into 1
4.926 * [backup-simplify]: Simplify (+ 0 1) into 1
4.927 * [backup-simplify]: Simplify (log 1) into 0
4.927 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.927 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
4.927 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
4.928 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
4.928 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
4.928 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
4.928 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
4.928 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
4.928 * [taylor]: Taking taylor expansion of 1/4 in im
4.928 * [backup-simplify]: Simplify 1/4 into 1/4
4.928 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
4.928 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
4.928 * [taylor]: Taking taylor expansion of (pow re 3) in im
4.928 * [taylor]: Taking taylor expansion of re in im
4.928 * [backup-simplify]: Simplify re into re
4.928 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.928 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
4.929 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
4.929 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
4.929 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
4.929 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
4.929 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
4.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.932 * [backup-simplify]: Simplify (+ 0 0) into 0
4.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.934 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.934 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
4.935 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.936 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
4.936 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
4.936 * [taylor]: Taking taylor expansion of 0 in im
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.936 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
4.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
4.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
4.938 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
4.939 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.939 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.942 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.944 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
4.944 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.945 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
4.946 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
4.947 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
4.949 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
4.949 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
4.949 * [taylor]: Taking taylor expansion of 3/8 in im
4.949 * [backup-simplify]: Simplify 3/8 into 3/8
4.949 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
4.949 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
4.949 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
4.949 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
4.949 * [taylor]: Taking taylor expansion of 1/4 in im
4.949 * [backup-simplify]: Simplify 1/4 into 1/4
4.949 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
4.949 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
4.950 * [taylor]: Taking taylor expansion of (pow re 3) in im
4.950 * [taylor]: Taking taylor expansion of re in im
4.950 * [backup-simplify]: Simplify re into re
4.950 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.950 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
4.950 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
4.950 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
4.950 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
4.951 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
4.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.951 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.951 * [taylor]: Taking taylor expansion of im in im
4.951 * [backup-simplify]: Simplify 0 into 0
4.951 * [backup-simplify]: Simplify 1 into 1
4.951 * [backup-simplify]: Simplify (* 1 1) into 1
4.952 * [backup-simplify]: Simplify (/ 1 1) into 1
4.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.955 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.956 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
4.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
4.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
4.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
4.959 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.959 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.960 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
4.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
4.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
4.963 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
4.965 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.965 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
4.966 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
4.966 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
4.967 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
4.967 * [backup-simplify]: Simplify 0 into 0
4.968 * [backup-simplify]: Simplify 0 into 0
4.968 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.969 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
4.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
4.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
4.972 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
4.974 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.974 * [backup-simplify]: Simplify 0 into 0
4.974 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.977 * [backup-simplify]: Simplify (+ 0 0) into 0
4.981 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.981 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.982 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
4.985 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.986 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
4.987 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
4.987 * [taylor]: Taking taylor expansion of 0 in im
4.987 * [backup-simplify]: Simplify 0 into 0
4.987 * [backup-simplify]: Simplify 0 into 0
4.987 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4)
4.987 * * * [progress]: simplifying candidates
4.990 * [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 (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (exp re))
  (log (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (exp (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (* (cbrt (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (cbrt (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))
  (cbrt (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (* (* (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re) (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (sqrt (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (sqrt (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))
  (+ (pow (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (- (* re re) (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)))
  (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (* re re))
  (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (* 1/2 3)
  (* 1 3)
  (* (/ 1/2 2) 3)
  (* (/ 1 2) 3)
  (* (/ (/ 1/2 2) 2) 3)
  (* (/ (/ 1 2) 2) 3)
  (* (/ (/ (/ 1 2) 2) 2) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 1)
  (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt 1))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)))
  (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt 1))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3)
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (/ 3 2)
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
  (pow (pow re 3) 1/4)
  (pow (* -1 (pow re 3)) 1/4)
4.992 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (exp (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (exp h1))
 (log (+ (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1))
 (exp (+ (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1))
 (* (cbrt (+ (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)) (cbrt (+ (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)))
 (cbrt (+ (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1))
 (* (* (+ (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1) (+ (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)) (+ (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1))
 (sqrt (+ (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1))
 (sqrt (+ (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1))
 (+ (pow (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) 3) (pow h1 3))
 (+ (* (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (- (* h1 h1) (* (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)))
 (- (* (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (* h1 h1))
 (- (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)
 (* (log (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (* (log (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (* (/ 1 2) 3)
 (* 1 3)
 (* (/ (/ 1 2) 2) 3)
 (* (/ 1 2) 3)
 (* (/ (/ (/ 1 2) 2) 2) 3)
 (* (/ (/ 1 2) 2) 3)
 (* (/ (/ (/ 1 2) 2) 2) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (cbrt 3) (cbrt 3)))
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt 3))
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 1)
 (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt 1))) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt 1)) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt 1) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow 1 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (log (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (exp (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)))
 (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (* (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt 1))) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt 1)) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt 1) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow 1 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))) 3)
 (pow (sqrt (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (- (* h1 h1) (* h0 h0))))) 3)
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (/ 3 2)
 (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 3 2))
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 3 2))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (+ h1 h0)
 (* 2 h1)
 0
 (+ (pow h0 (/ 3 4)) (* (/ 3 8) (* (pow h1 2) (pow (/ 1 (pow h0 5)) (/ 1 4)))))
 (pow (pow h1 3) (/ 1 4))
 (pow (* -1 (pow h1 3)) (/ 1 4))
5.830 * * * [progress]: adding candidates to table
6.378 * * [progress]: iteration 4 / 4
6.379 * * * [progress]: picking best candidate
6.430 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))>
6.430 * * * [progress]: localizing error
6.480 * * * [progress]: generating rewritten candidates
6.481 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
6.497 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
6.521 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
6.529 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
6.604 * * * [progress]: generating series expansions
6.604 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1)
6.604 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.604 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.604 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.604 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.604 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.604 * [taylor]: Taking taylor expansion of re in im
6.604 * [backup-simplify]: Simplify re into re
6.604 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.604 * [taylor]: Taking taylor expansion of im in im
6.604 * [backup-simplify]: Simplify 0 into 0
6.604 * [backup-simplify]: Simplify 1 into 1
6.604 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.604 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.604 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.604 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.605 * [backup-simplify]: Simplify (+ 0 0) into 0
6.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.605 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.605 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.605 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.605 * [taylor]: Taking taylor expansion of re in re
6.605 * [backup-simplify]: Simplify 0 into 0
6.605 * [backup-simplify]: Simplify 1 into 1
6.605 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.605 * [taylor]: Taking taylor expansion of im in re
6.605 * [backup-simplify]: Simplify im into im
6.605 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.605 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.605 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.606 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.606 * [backup-simplify]: Simplify (+ 0 0) into 0
6.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.606 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.606 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.606 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.606 * [taylor]: Taking taylor expansion of re in re
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [backup-simplify]: Simplify 1 into 1
6.606 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.606 * [taylor]: Taking taylor expansion of im in re
6.606 * [backup-simplify]: Simplify im into im
6.606 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.606 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.606 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.606 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.607 * [backup-simplify]: Simplify (+ 0 0) into 0
6.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.607 * [taylor]: Taking taylor expansion of im in im
6.607 * [backup-simplify]: Simplify 0 into 0
6.607 * [backup-simplify]: Simplify 1 into 1
6.607 * [backup-simplify]: Simplify 0 into 0
6.607 * [taylor]: Taking taylor expansion of 0 in im
6.607 * [backup-simplify]: Simplify 0 into 0
6.607 * [backup-simplify]: Simplify 0 into 0
6.607 * [backup-simplify]: Simplify 1 into 1
6.607 * [backup-simplify]: Simplify (* 1 1) into 1
6.607 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.608 * [backup-simplify]: Simplify (+ 1 0) into 1
6.608 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.608 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.608 * [taylor]: Taking taylor expansion of 1/2 in im
6.608 * [backup-simplify]: Simplify 1/2 into 1/2
6.608 * [taylor]: Taking taylor expansion of im in im
6.608 * [backup-simplify]: Simplify 0 into 0
6.608 * [backup-simplify]: Simplify 1 into 1
6.609 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.609 * [backup-simplify]: Simplify 0 into 0
6.609 * [backup-simplify]: Simplify 0 into 0
6.609 * [backup-simplify]: Simplify 0 into 0
6.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.610 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.610 * [backup-simplify]: Simplify (+ 0 0) into 0
6.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.610 * [taylor]: Taking taylor expansion of 0 in im
6.610 * [backup-simplify]: Simplify 0 into 0
6.610 * [backup-simplify]: Simplify 0 into 0
6.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.611 * [backup-simplify]: Simplify 0 into 0
6.611 * [backup-simplify]: Simplify 0 into 0
6.611 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.611 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.611 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.611 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.611 * [taylor]: Taking taylor expansion of im in im
6.611 * [backup-simplify]: Simplify 0 into 0
6.611 * [backup-simplify]: Simplify 1 into 1
6.612 * [backup-simplify]: Simplify (* 1 1) into 1
6.612 * [backup-simplify]: Simplify (/ 1 1) into 1
6.612 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.612 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.612 * [taylor]: Taking taylor expansion of re in im
6.612 * [backup-simplify]: Simplify re into re
6.612 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.612 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.612 * [backup-simplify]: Simplify (+ 1 0) into 1
6.613 * [backup-simplify]: Simplify (sqrt 1) into 1
6.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.614 * [backup-simplify]: Simplify (+ 0 0) into 0
6.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.614 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.614 * [taylor]: Taking taylor expansion of im in re
6.614 * [backup-simplify]: Simplify im into im
6.614 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.614 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.615 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.615 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.615 * [taylor]: Taking taylor expansion of re in re
6.615 * [backup-simplify]: Simplify 0 into 0
6.615 * [backup-simplify]: Simplify 1 into 1
6.615 * [backup-simplify]: Simplify (* 1 1) into 1
6.615 * [backup-simplify]: Simplify (/ 1 1) into 1
6.615 * [backup-simplify]: Simplify (+ 0 1) into 1
6.616 * [backup-simplify]: Simplify (sqrt 1) into 1
6.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.617 * [backup-simplify]: Simplify (+ 0 0) into 0
6.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.617 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.617 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.617 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.617 * [taylor]: Taking taylor expansion of im in re
6.617 * [backup-simplify]: Simplify im into im
6.617 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.617 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.617 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.617 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.617 * [taylor]: Taking taylor expansion of re in re
6.617 * [backup-simplify]: Simplify 0 into 0
6.617 * [backup-simplify]: Simplify 1 into 1
6.618 * [backup-simplify]: Simplify (* 1 1) into 1
6.618 * [backup-simplify]: Simplify (/ 1 1) into 1
6.618 * [backup-simplify]: Simplify (+ 0 1) into 1
6.618 * [backup-simplify]: Simplify (sqrt 1) into 1
6.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.619 * [backup-simplify]: Simplify (+ 0 0) into 0
6.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.620 * [taylor]: Taking taylor expansion of 1 in im
6.620 * [backup-simplify]: Simplify 1 into 1
6.620 * [taylor]: Taking taylor expansion of 0 in im
6.620 * [backup-simplify]: Simplify 0 into 0
6.620 * [backup-simplify]: Simplify 1 into 1
6.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.621 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.622 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.622 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.622 * [taylor]: Taking taylor expansion of 1/2 in im
6.622 * [backup-simplify]: Simplify 1/2 into 1/2
6.622 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.622 * [taylor]: Taking taylor expansion of im in im
6.622 * [backup-simplify]: Simplify 0 into 0
6.622 * [backup-simplify]: Simplify 1 into 1
6.622 * [backup-simplify]: Simplify (* 1 1) into 1
6.623 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.623 * [backup-simplify]: Simplify 0 into 0
6.624 * [backup-simplify]: Simplify 0 into 0
6.624 * [backup-simplify]: Simplify 0 into 0
6.624 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.625 * [backup-simplify]: Simplify (+ 0 0) into 0
6.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.626 * [taylor]: Taking taylor expansion of 0 in im
6.626 * [backup-simplify]: Simplify 0 into 0
6.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.627 * [backup-simplify]: Simplify 0 into 0
6.627 * [backup-simplify]: Simplify 0 into 0
6.627 * [backup-simplify]: Simplify 0 into 0
6.627 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.627 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.627 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.627 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.627 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.627 * [taylor]: Taking taylor expansion of im in im
6.627 * [backup-simplify]: Simplify 0 into 0
6.627 * [backup-simplify]: Simplify 1 into 1
6.627 * [backup-simplify]: Simplify (* 1 1) into 1
6.628 * [backup-simplify]: Simplify (/ 1 1) into 1
6.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.628 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.628 * [taylor]: Taking taylor expansion of re in im
6.628 * [backup-simplify]: Simplify re into re
6.628 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.628 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.628 * [backup-simplify]: Simplify (+ 1 0) into 1
6.628 * [backup-simplify]: Simplify (sqrt 1) into 1
6.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.629 * [backup-simplify]: Simplify (+ 0 0) into 0
6.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.630 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.630 * [taylor]: Taking taylor expansion of im in re
6.630 * [backup-simplify]: Simplify im into im
6.630 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.630 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.630 * [taylor]: Taking taylor expansion of re in re
6.630 * [backup-simplify]: Simplify 0 into 0
6.630 * [backup-simplify]: Simplify 1 into 1
6.630 * [backup-simplify]: Simplify (* 1 1) into 1
6.631 * [backup-simplify]: Simplify (/ 1 1) into 1
6.631 * [backup-simplify]: Simplify (+ 0 1) into 1
6.631 * [backup-simplify]: Simplify (sqrt 1) into 1
6.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.632 * [backup-simplify]: Simplify (+ 0 0) into 0
6.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.633 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.633 * [taylor]: Taking taylor expansion of im in re
6.633 * [backup-simplify]: Simplify im into im
6.633 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.633 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.633 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.633 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.633 * [taylor]: Taking taylor expansion of re in re
6.633 * [backup-simplify]: Simplify 0 into 0
6.633 * [backup-simplify]: Simplify 1 into 1
6.633 * [backup-simplify]: Simplify (* 1 1) into 1
6.633 * [backup-simplify]: Simplify (/ 1 1) into 1
6.634 * [backup-simplify]: Simplify (+ 0 1) into 1
6.634 * [backup-simplify]: Simplify (sqrt 1) into 1
6.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.635 * [backup-simplify]: Simplify (+ 0 0) into 0
6.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.636 * [taylor]: Taking taylor expansion of 1 in im
6.636 * [backup-simplify]: Simplify 1 into 1
6.636 * [taylor]: Taking taylor expansion of 0 in im
6.636 * [backup-simplify]: Simplify 0 into 0
6.636 * [backup-simplify]: Simplify 1 into 1
6.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.637 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.638 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.638 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.638 * [taylor]: Taking taylor expansion of 1/2 in im
6.638 * [backup-simplify]: Simplify 1/2 into 1/2
6.638 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.638 * [taylor]: Taking taylor expansion of im in im
6.638 * [backup-simplify]: Simplify 0 into 0
6.638 * [backup-simplify]: Simplify 1 into 1
6.638 * [backup-simplify]: Simplify (* 1 1) into 1
6.639 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.639 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify 0 into 0
6.640 * [backup-simplify]: Simplify 0 into 0
6.640 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.641 * [backup-simplify]: Simplify (+ 0 0) into 0
6.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.642 * [taylor]: Taking taylor expansion of 0 in im
6.642 * [backup-simplify]: Simplify 0 into 0
6.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.643 * [backup-simplify]: Simplify 0 into 0
6.643 * [backup-simplify]: Simplify 0 into 0
6.643 * [backup-simplify]: Simplify 0 into 0
6.643 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.643 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1)
6.643 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.643 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.643 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.643 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.643 * [taylor]: Taking taylor expansion of re in im
6.643 * [backup-simplify]: Simplify re into re
6.643 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.643 * [taylor]: Taking taylor expansion of im in im
6.643 * [backup-simplify]: Simplify 0 into 0
6.643 * [backup-simplify]: Simplify 1 into 1
6.643 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.643 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.643 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.643 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.644 * [backup-simplify]: Simplify (+ 0 0) into 0
6.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.644 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.644 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.644 * [taylor]: Taking taylor expansion of re in re
6.644 * [backup-simplify]: Simplify 0 into 0
6.644 * [backup-simplify]: Simplify 1 into 1
6.644 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.644 * [taylor]: Taking taylor expansion of im in re
6.644 * [backup-simplify]: Simplify im into im
6.644 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.644 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.644 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.644 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.644 * [backup-simplify]: Simplify (+ 0 0) into 0
6.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.645 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.645 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.645 * [taylor]: Taking taylor expansion of re in re
6.645 * [backup-simplify]: Simplify 0 into 0
6.645 * [backup-simplify]: Simplify 1 into 1
6.645 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.645 * [taylor]: Taking taylor expansion of im in re
6.645 * [backup-simplify]: Simplify im into im
6.645 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.645 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.645 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.645 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.645 * [backup-simplify]: Simplify (+ 0 0) into 0
6.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.645 * [taylor]: Taking taylor expansion of im in im
6.645 * [backup-simplify]: Simplify 0 into 0
6.645 * [backup-simplify]: Simplify 1 into 1
6.645 * [backup-simplify]: Simplify 0 into 0
6.645 * [taylor]: Taking taylor expansion of 0 in im
6.646 * [backup-simplify]: Simplify 0 into 0
6.646 * [backup-simplify]: Simplify 0 into 0
6.646 * [backup-simplify]: Simplify 1 into 1
6.646 * [backup-simplify]: Simplify (* 1 1) into 1
6.646 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.646 * [backup-simplify]: Simplify (+ 1 0) into 1
6.647 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.647 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.647 * [taylor]: Taking taylor expansion of 1/2 in im
6.647 * [backup-simplify]: Simplify 1/2 into 1/2
6.647 * [taylor]: Taking taylor expansion of im in im
6.647 * [backup-simplify]: Simplify 0 into 0
6.647 * [backup-simplify]: Simplify 1 into 1
6.647 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.648 * [backup-simplify]: Simplify 0 into 0
6.648 * [backup-simplify]: Simplify 0 into 0
6.648 * [backup-simplify]: Simplify 0 into 0
6.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.649 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.649 * [backup-simplify]: Simplify (+ 0 0) into 0
6.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.649 * [taylor]: Taking taylor expansion of 0 in im
6.649 * [backup-simplify]: Simplify 0 into 0
6.649 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.650 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.650 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.650 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.650 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.650 * [taylor]: Taking taylor expansion of im in im
6.650 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify 1 into 1
6.650 * [backup-simplify]: Simplify (* 1 1) into 1
6.651 * [backup-simplify]: Simplify (/ 1 1) into 1
6.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.651 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.651 * [taylor]: Taking taylor expansion of re in im
6.651 * [backup-simplify]: Simplify re into re
6.651 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.651 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.652 * [backup-simplify]: Simplify (+ 1 0) into 1
6.652 * [backup-simplify]: Simplify (sqrt 1) into 1
6.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.654 * [backup-simplify]: Simplify (+ 0 0) into 0
6.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.655 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.655 * [taylor]: Taking taylor expansion of im in re
6.655 * [backup-simplify]: Simplify im into im
6.655 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.655 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.655 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.655 * [taylor]: Taking taylor expansion of re in re
6.655 * [backup-simplify]: Simplify 0 into 0
6.655 * [backup-simplify]: Simplify 1 into 1
6.656 * [backup-simplify]: Simplify (* 1 1) into 1
6.656 * [backup-simplify]: Simplify (/ 1 1) into 1
6.657 * [backup-simplify]: Simplify (+ 0 1) into 1
6.657 * [backup-simplify]: Simplify (sqrt 1) into 1
6.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.659 * [backup-simplify]: Simplify (+ 0 0) into 0
6.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.660 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.660 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.660 * [taylor]: Taking taylor expansion of im in re
6.660 * [backup-simplify]: Simplify im into im
6.660 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.660 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.661 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.661 * [taylor]: Taking taylor expansion of re in re
6.661 * [backup-simplify]: Simplify 0 into 0
6.661 * [backup-simplify]: Simplify 1 into 1
6.661 * [backup-simplify]: Simplify (* 1 1) into 1
6.661 * [backup-simplify]: Simplify (/ 1 1) into 1
6.662 * [backup-simplify]: Simplify (+ 0 1) into 1
6.662 * [backup-simplify]: Simplify (sqrt 1) into 1
6.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.664 * [backup-simplify]: Simplify (+ 0 0) into 0
6.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.665 * [taylor]: Taking taylor expansion of 1 in im
6.665 * [backup-simplify]: Simplify 1 into 1
6.665 * [taylor]: Taking taylor expansion of 0 in im
6.665 * [backup-simplify]: Simplify 0 into 0
6.665 * [backup-simplify]: Simplify 1 into 1
6.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.667 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.669 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.669 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.669 * [taylor]: Taking taylor expansion of 1/2 in im
6.669 * [backup-simplify]: Simplify 1/2 into 1/2
6.669 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.669 * [taylor]: Taking taylor expansion of im in im
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 1 into 1
6.669 * [backup-simplify]: Simplify (* 1 1) into 1
6.670 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.671 * [backup-simplify]: Simplify 0 into 0
6.671 * [backup-simplify]: Simplify 0 into 0
6.671 * [backup-simplify]: Simplify 0 into 0
6.671 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.674 * [backup-simplify]: Simplify (+ 0 0) into 0
6.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.675 * [taylor]: Taking taylor expansion of 0 in im
6.675 * [backup-simplify]: Simplify 0 into 0
6.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.678 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.678 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.678 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.678 * [taylor]: Taking taylor expansion of im in im
6.678 * [backup-simplify]: Simplify 0 into 0
6.678 * [backup-simplify]: Simplify 1 into 1
6.678 * [backup-simplify]: Simplify (* 1 1) into 1
6.679 * [backup-simplify]: Simplify (/ 1 1) into 1
6.679 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.679 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.679 * [taylor]: Taking taylor expansion of re in im
6.679 * [backup-simplify]: Simplify re into re
6.679 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.679 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.680 * [backup-simplify]: Simplify (+ 1 0) into 1
6.680 * [backup-simplify]: Simplify (sqrt 1) into 1
6.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.684 * [backup-simplify]: Simplify (+ 0 0) into 0
6.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.685 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.685 * [taylor]: Taking taylor expansion of im in re
6.685 * [backup-simplify]: Simplify im into im
6.685 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.685 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.686 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.686 * [taylor]: Taking taylor expansion of re in re
6.686 * [backup-simplify]: Simplify 0 into 0
6.686 * [backup-simplify]: Simplify 1 into 1
6.686 * [backup-simplify]: Simplify (* 1 1) into 1
6.687 * [backup-simplify]: Simplify (/ 1 1) into 1
6.687 * [backup-simplify]: Simplify (+ 0 1) into 1
6.688 * [backup-simplify]: Simplify (sqrt 1) into 1
6.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.690 * [backup-simplify]: Simplify (+ 0 0) into 0
6.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.691 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.691 * [taylor]: Taking taylor expansion of im in re
6.691 * [backup-simplify]: Simplify im into im
6.691 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.691 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.691 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.691 * [taylor]: Taking taylor expansion of re in re
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 1 into 1
6.692 * [backup-simplify]: Simplify (* 1 1) into 1
6.692 * [backup-simplify]: Simplify (/ 1 1) into 1
6.692 * [backup-simplify]: Simplify (+ 0 1) into 1
6.693 * [backup-simplify]: Simplify (sqrt 1) into 1
6.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.694 * [backup-simplify]: Simplify (+ 0 0) into 0
6.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.695 * [taylor]: Taking taylor expansion of 1 in im
6.695 * [backup-simplify]: Simplify 1 into 1
6.695 * [taylor]: Taking taylor expansion of 0 in im
6.695 * [backup-simplify]: Simplify 0 into 0
6.695 * [backup-simplify]: Simplify 1 into 1
6.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.698 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.699 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.699 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.699 * [taylor]: Taking taylor expansion of 1/2 in im
6.699 * [backup-simplify]: Simplify 1/2 into 1/2
6.699 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.699 * [taylor]: Taking taylor expansion of im in im
6.699 * [backup-simplify]: Simplify 0 into 0
6.699 * [backup-simplify]: Simplify 1 into 1
6.700 * [backup-simplify]: Simplify (* 1 1) into 1
6.700 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.708 * [backup-simplify]: Simplify 0 into 0
6.709 * [backup-simplify]: Simplify 0 into 0
6.709 * [backup-simplify]: Simplify 0 into 0
6.709 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.712 * [backup-simplify]: Simplify (+ 0 0) into 0
6.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.712 * [taylor]: Taking taylor expansion of 0 in im
6.712 * [backup-simplify]: Simplify 0 into 0
6.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.714 * [backup-simplify]: Simplify 0 into 0
6.714 * [backup-simplify]: Simplify 0 into 0
6.714 * [backup-simplify]: Simplify 0 into 0
6.715 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
6.715 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.715 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.715 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.715 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.715 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.715 * [taylor]: Taking taylor expansion of re in im
6.715 * [backup-simplify]: Simplify re into re
6.715 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.715 * [taylor]: Taking taylor expansion of im in im
6.715 * [backup-simplify]: Simplify 0 into 0
6.715 * [backup-simplify]: Simplify 1 into 1
6.715 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.716 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.716 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.716 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.716 * [backup-simplify]: Simplify (+ 0 0) into 0
6.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.716 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.716 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.716 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.716 * [taylor]: Taking taylor expansion of re in re
6.717 * [backup-simplify]: Simplify 0 into 0
6.717 * [backup-simplify]: Simplify 1 into 1
6.717 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.717 * [taylor]: Taking taylor expansion of im in re
6.717 * [backup-simplify]: Simplify im into im
6.717 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.717 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.717 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.717 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.718 * [backup-simplify]: Simplify (+ 0 0) into 0
6.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.718 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.718 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.718 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.718 * [taylor]: Taking taylor expansion of re in re
6.718 * [backup-simplify]: Simplify 0 into 0
6.718 * [backup-simplify]: Simplify 1 into 1
6.718 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.718 * [taylor]: Taking taylor expansion of im in re
6.718 * [backup-simplify]: Simplify im into im
6.718 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.718 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.718 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.718 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.719 * [backup-simplify]: Simplify (+ 0 0) into 0
6.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.719 * [taylor]: Taking taylor expansion of im in im
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [backup-simplify]: Simplify 1 into 1
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [taylor]: Taking taylor expansion of 0 in im
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [backup-simplify]: Simplify 1 into 1
6.720 * [backup-simplify]: Simplify (* 1 1) into 1
6.720 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.721 * [backup-simplify]: Simplify (+ 1 0) into 1
6.721 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.721 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.721 * [taylor]: Taking taylor expansion of 1/2 in im
6.722 * [backup-simplify]: Simplify 1/2 into 1/2
6.722 * [taylor]: Taking taylor expansion of im in im
6.722 * [backup-simplify]: Simplify 0 into 0
6.722 * [backup-simplify]: Simplify 1 into 1
6.722 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.723 * [backup-simplify]: Simplify 0 into 0
6.723 * [backup-simplify]: Simplify 0 into 0
6.723 * [backup-simplify]: Simplify 0 into 0
6.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.725 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.725 * [backup-simplify]: Simplify (+ 0 0) into 0
6.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.725 * [taylor]: Taking taylor expansion of 0 in im
6.725 * [backup-simplify]: Simplify 0 into 0
6.725 * [backup-simplify]: Simplify 0 into 0
6.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.726 * [backup-simplify]: Simplify 0 into 0
6.726 * [backup-simplify]: Simplify 0 into 0
6.726 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.727 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.727 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.727 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.727 * [taylor]: Taking taylor expansion of im in im
6.727 * [backup-simplify]: Simplify 0 into 0
6.727 * [backup-simplify]: Simplify 1 into 1
6.727 * [backup-simplify]: Simplify (* 1 1) into 1
6.728 * [backup-simplify]: Simplify (/ 1 1) into 1
6.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.728 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.728 * [taylor]: Taking taylor expansion of re in im
6.728 * [backup-simplify]: Simplify re into re
6.728 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.728 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.729 * [backup-simplify]: Simplify (+ 1 0) into 1
6.729 * [backup-simplify]: Simplify (sqrt 1) into 1
6.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.731 * [backup-simplify]: Simplify (+ 0 0) into 0
6.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.732 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.732 * [taylor]: Taking taylor expansion of im in re
6.732 * [backup-simplify]: Simplify im into im
6.732 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.732 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.732 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.732 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.732 * [taylor]: Taking taylor expansion of re in re
6.732 * [backup-simplify]: Simplify 0 into 0
6.732 * [backup-simplify]: Simplify 1 into 1
6.732 * [backup-simplify]: Simplify (* 1 1) into 1
6.733 * [backup-simplify]: Simplify (/ 1 1) into 1
6.733 * [backup-simplify]: Simplify (+ 0 1) into 1
6.734 * [backup-simplify]: Simplify (sqrt 1) into 1
6.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.735 * [backup-simplify]: Simplify (+ 0 0) into 0
6.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.736 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.736 * [taylor]: Taking taylor expansion of im in re
6.736 * [backup-simplify]: Simplify im into im
6.736 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.736 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.737 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.737 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.737 * [taylor]: Taking taylor expansion of re in re
6.737 * [backup-simplify]: Simplify 0 into 0
6.737 * [backup-simplify]: Simplify 1 into 1
6.737 * [backup-simplify]: Simplify (* 1 1) into 1
6.737 * [backup-simplify]: Simplify (/ 1 1) into 1
6.738 * [backup-simplify]: Simplify (+ 0 1) into 1
6.738 * [backup-simplify]: Simplify (sqrt 1) into 1
6.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.740 * [backup-simplify]: Simplify (+ 0 0) into 0
6.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.741 * [taylor]: Taking taylor expansion of 1 in im
6.741 * [backup-simplify]: Simplify 1 into 1
6.741 * [taylor]: Taking taylor expansion of 0 in im
6.741 * [backup-simplify]: Simplify 0 into 0
6.741 * [backup-simplify]: Simplify 1 into 1
6.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.743 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.744 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.744 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.744 * [taylor]: Taking taylor expansion of 1/2 in im
6.744 * [backup-simplify]: Simplify 1/2 into 1/2
6.744 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.744 * [taylor]: Taking taylor expansion of im in im
6.745 * [backup-simplify]: Simplify 0 into 0
6.745 * [backup-simplify]: Simplify 1 into 1
6.745 * [backup-simplify]: Simplify (* 1 1) into 1
6.745 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.749 * [backup-simplify]: Simplify 0 into 0
6.749 * [backup-simplify]: Simplify 0 into 0
6.749 * [backup-simplify]: Simplify 0 into 0
6.749 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.751 * [backup-simplify]: Simplify (+ 0 0) into 0
6.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.752 * [taylor]: Taking taylor expansion of 0 in im
6.752 * [backup-simplify]: Simplify 0 into 0
6.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.754 * [backup-simplify]: Simplify 0 into 0
6.754 * [backup-simplify]: Simplify 0 into 0
6.754 * [backup-simplify]: Simplify 0 into 0
6.754 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.755 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.755 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.755 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.755 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.755 * [taylor]: Taking taylor expansion of im in im
6.755 * [backup-simplify]: Simplify 0 into 0
6.755 * [backup-simplify]: Simplify 1 into 1
6.755 * [backup-simplify]: Simplify (* 1 1) into 1
6.756 * [backup-simplify]: Simplify (/ 1 1) into 1
6.756 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.756 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.756 * [taylor]: Taking taylor expansion of re in im
6.756 * [backup-simplify]: Simplify re into re
6.756 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.756 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.757 * [backup-simplify]: Simplify (+ 1 0) into 1
6.757 * [backup-simplify]: Simplify (sqrt 1) into 1
6.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.759 * [backup-simplify]: Simplify (+ 0 0) into 0
6.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.759 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.760 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.760 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.760 * [taylor]: Taking taylor expansion of im in re
6.760 * [backup-simplify]: Simplify im into im
6.760 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.760 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.760 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.760 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.760 * [taylor]: Taking taylor expansion of re in re
6.760 * [backup-simplify]: Simplify 0 into 0
6.760 * [backup-simplify]: Simplify 1 into 1
6.760 * [backup-simplify]: Simplify (* 1 1) into 1
6.761 * [backup-simplify]: Simplify (/ 1 1) into 1
6.761 * [backup-simplify]: Simplify (+ 0 1) into 1
6.762 * [backup-simplify]: Simplify (sqrt 1) into 1
6.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.763 * [backup-simplify]: Simplify (+ 0 0) into 0
6.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.764 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.764 * [taylor]: Taking taylor expansion of im in re
6.764 * [backup-simplify]: Simplify im into im
6.764 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.764 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.765 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.765 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.765 * [taylor]: Taking taylor expansion of re in re
6.765 * [backup-simplify]: Simplify 0 into 0
6.765 * [backup-simplify]: Simplify 1 into 1
6.765 * [backup-simplify]: Simplify (* 1 1) into 1
6.765 * [backup-simplify]: Simplify (/ 1 1) into 1
6.766 * [backup-simplify]: Simplify (+ 0 1) into 1
6.766 * [backup-simplify]: Simplify (sqrt 1) into 1
6.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.768 * [backup-simplify]: Simplify (+ 0 0) into 0
6.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.769 * [taylor]: Taking taylor expansion of 1 in im
6.769 * [backup-simplify]: Simplify 1 into 1
6.769 * [taylor]: Taking taylor expansion of 0 in im
6.769 * [backup-simplify]: Simplify 0 into 0
6.769 * [backup-simplify]: Simplify 1 into 1
6.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.771 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.772 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.772 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.772 * [taylor]: Taking taylor expansion of 1/2 in im
6.772 * [backup-simplify]: Simplify 1/2 into 1/2
6.772 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.772 * [taylor]: Taking taylor expansion of im in im
6.772 * [backup-simplify]: Simplify 0 into 0
6.772 * [backup-simplify]: Simplify 1 into 1
6.773 * [backup-simplify]: Simplify (* 1 1) into 1
6.773 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.775 * [backup-simplify]: Simplify 0 into 0
6.775 * [backup-simplify]: Simplify 0 into 0
6.775 * [backup-simplify]: Simplify 0 into 0
6.775 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.778 * [backup-simplify]: Simplify (+ 0 0) into 0
6.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.779 * [taylor]: Taking taylor expansion of 0 in im
6.779 * [backup-simplify]: Simplify 0 into 0
6.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.780 * [backup-simplify]: Simplify 0 into 0
6.781 * [backup-simplify]: Simplify 0 into 0
6.781 * [backup-simplify]: Simplify 0 into 0
6.781 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.781 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
6.782 * [backup-simplify]: Simplify (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re) into (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)))
6.782 * [approximate]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in (re im) around 0
6.782 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in im
6.782 * [taylor]: Taking taylor expansion of re in im
6.782 * [backup-simplify]: Simplify re into re
6.782 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in im
6.782 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im
6.784 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
6.784 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im
6.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im
6.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im
6.784 * [taylor]: Taking taylor expansion of 1/3 in im
6.784 * [backup-simplify]: Simplify 1/3 into 1/3
6.784 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
6.784 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.784 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.784 * [taylor]: Taking taylor expansion of re in im
6.784 * [backup-simplify]: Simplify re into re
6.784 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.784 * [taylor]: Taking taylor expansion of im in im
6.784 * [backup-simplify]: Simplify 0 into 0
6.784 * [backup-simplify]: Simplify 1 into 1
6.784 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.785 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.785 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
6.785 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
6.785 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
6.785 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in re
6.785 * [taylor]: Taking taylor expansion of re in re
6.785 * [backup-simplify]: Simplify 0 into 0
6.785 * [backup-simplify]: Simplify 1 into 1
6.785 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in re
6.785 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in re
6.786 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
6.786 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re
6.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re
6.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re
6.786 * [taylor]: Taking taylor expansion of 1/3 in re
6.786 * [backup-simplify]: Simplify 1/3 into 1/3
6.786 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
6.786 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.786 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.786 * [taylor]: Taking taylor expansion of re in re
6.786 * [backup-simplify]: Simplify 0 into 0
6.786 * [backup-simplify]: Simplify 1 into 1
6.786 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.786 * [taylor]: Taking taylor expansion of im in re
6.786 * [backup-simplify]: Simplify im into im
6.786 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.786 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.786 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
6.787 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
6.787 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
6.787 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3))) in re
6.787 * [taylor]: Taking taylor expansion of re in re
6.787 * [backup-simplify]: Simplify 0 into 0
6.787 * [backup-simplify]: Simplify 1 into 1
6.787 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in re
6.787 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in re
6.787 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
6.787 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re
6.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re
6.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re
6.787 * [taylor]: Taking taylor expansion of 1/3 in re
6.787 * [backup-simplify]: Simplify 1/3 into 1/3
6.788 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
6.788 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.788 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.788 * [taylor]: Taking taylor expansion of re in re
6.788 * [backup-simplify]: Simplify 0 into 0
6.788 * [backup-simplify]: Simplify 1 into 1
6.788 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.788 * [taylor]: Taking taylor expansion of im in re
6.788 * [backup-simplify]: Simplify im into im
6.788 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.788 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.788 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
6.788 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
6.788 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
6.789 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
6.790 * [backup-simplify]: Simplify (+ 0 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
6.790 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) in im
6.790 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im
6.790 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
6.790 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im
6.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
6.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
6.790 * [taylor]: Taking taylor expansion of 1/3 in im
6.790 * [backup-simplify]: Simplify 1/3 into 1/3
6.790 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
6.790 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.790 * [taylor]: Taking taylor expansion of im in im
6.790 * [backup-simplify]: Simplify 0 into 0
6.790 * [backup-simplify]: Simplify 1 into 1
6.791 * [backup-simplify]: Simplify (* 1 1) into 1
6.791 * [backup-simplify]: Simplify (log 1) into 0
6.792 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
6.792 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
6.792 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
6.792 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow im 2/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
6.793 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3))
6.793 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.793 * [backup-simplify]: Simplify (+ 0 0) into 0
6.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
6.795 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0
6.796 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.796 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 0) (* 0 (pow (pow im 2) 1/3))) into 0
6.797 * [backup-simplify]: Simplify (+ 1 0) into 1
6.797 * [taylor]: Taking taylor expansion of 1 in im
6.797 * [backup-simplify]: Simplify 1 into 1
6.797 * [backup-simplify]: Simplify 1 into 1
6.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.799 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
6.800 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
6.801 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.801 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 0) (* 0 (pow im 2/3))) into 0
6.801 * [backup-simplify]: Simplify 0 into 0
6.802 * [backup-simplify]: Simplify (* 1 1) into 1
6.802 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.803 * [backup-simplify]: Simplify (+ 1 0) into 1
6.805 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
6.805 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2)))
6.807 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
6.808 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (* 1/3 (pow (/ 1 (pow im 4)) 1/3))) (+ (* 0 0) (* 0 (pow (pow im 2) 1/3)))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
6.809 * [backup-simplify]: Simplify (+ 0 (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
6.809 * [taylor]: Taking taylor expansion of (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) in im
6.809 * [taylor]: Taking taylor expansion of 1/3 in im
6.809 * [backup-simplify]: Simplify 1/3 into 1/3
6.809 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)) in im
6.809 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im
6.809 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6))
6.809 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
6.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
6.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
6.810 * [taylor]: Taking taylor expansion of 1/3 in im
6.810 * [backup-simplify]: Simplify 1/3 into 1/3
6.810 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im
6.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
6.810 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.810 * [taylor]: Taking taylor expansion of im in im
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [backup-simplify]: Simplify 1 into 1
6.810 * [backup-simplify]: Simplify (* 1 1) into 1
6.810 * [backup-simplify]: Simplify (* 1 1) into 1
6.811 * [backup-simplify]: Simplify (/ 1 1) into 1
6.811 * [backup-simplify]: Simplify (log 1) into 0
6.812 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
6.812 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
6.812 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
6.812 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow im -4/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))
6.813 * [backup-simplify]: Simplify (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
6.814 * [backup-simplify]: Simplify (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)))
6.815 * [backup-simplify]: Simplify (+ (* (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) (pow (* 1 re) 2)) (+ (* 1 (* 1 re)) (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)))) into (+ re (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) (* 1/3 (* (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow re 2)) (pow (/ 1 (pow im 4)) 1/3)))))
6.817 * [backup-simplify]: Simplify (+ (* (* (fabs (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (sqrt (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)))
6.817 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in (re im) around 0
6.817 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in im
6.817 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.817 * [taylor]: Taking taylor expansion of re in im
6.817 * [backup-simplify]: Simplify re into re
6.817 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.817 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in im
6.817 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
6.817 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.817 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im
6.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
6.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.817 * [taylor]: Taking taylor expansion of 1/3 in im
6.818 * [backup-simplify]: Simplify 1/3 into 1/3
6.818 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.818 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.818 * [taylor]: Taking taylor expansion of im in im
6.818 * [backup-simplify]: Simplify 0 into 0
6.818 * [backup-simplify]: Simplify 1 into 1
6.818 * [backup-simplify]: Simplify (* 1 1) into 1
6.819 * [backup-simplify]: Simplify (/ 1 1) into 1
6.819 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.819 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.819 * [taylor]: Taking taylor expansion of re in im
6.819 * [backup-simplify]: Simplify re into re
6.819 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.819 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.819 * [backup-simplify]: Simplify (+ 1 0) into 1
6.820 * [backup-simplify]: Simplify (log 1) into 0
6.820 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
6.820 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
6.820 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
6.820 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in re
6.820 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.820 * [taylor]: Taking taylor expansion of re in re
6.821 * [backup-simplify]: Simplify 0 into 0
6.821 * [backup-simplify]: Simplify 1 into 1
6.821 * [backup-simplify]: Simplify (/ 1 1) into 1
6.821 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
6.821 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
6.821 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.821 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
6.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.822 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.822 * [taylor]: Taking taylor expansion of 1/3 in re
6.822 * [backup-simplify]: Simplify 1/3 into 1/3
6.822 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.822 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.822 * [taylor]: Taking taylor expansion of im in re
6.822 * [backup-simplify]: Simplify im into im
6.822 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.822 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.822 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.822 * [taylor]: Taking taylor expansion of re in re
6.822 * [backup-simplify]: Simplify 0 into 0
6.822 * [backup-simplify]: Simplify 1 into 1
6.823 * [backup-simplify]: Simplify (* 1 1) into 1
6.823 * [backup-simplify]: Simplify (/ 1 1) into 1
6.823 * [backup-simplify]: Simplify (+ 0 1) into 1
6.824 * [backup-simplify]: Simplify (log 1) into 0
6.824 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.824 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
6.824 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
6.824 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in re
6.824 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.824 * [taylor]: Taking taylor expansion of re in re
6.825 * [backup-simplify]: Simplify 0 into 0
6.825 * [backup-simplify]: Simplify 1 into 1
6.825 * [backup-simplify]: Simplify (/ 1 1) into 1
6.825 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
6.825 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
6.825 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.825 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
6.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.826 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.826 * [taylor]: Taking taylor expansion of 1/3 in re
6.826 * [backup-simplify]: Simplify 1/3 into 1/3
6.826 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.826 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.826 * [taylor]: Taking taylor expansion of im in re
6.826 * [backup-simplify]: Simplify im into im
6.826 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.826 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.826 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.826 * [taylor]: Taking taylor expansion of re in re
6.826 * [backup-simplify]: Simplify 0 into 0
6.826 * [backup-simplify]: Simplify 1 into 1
6.827 * [backup-simplify]: Simplify (* 1 1) into 1
6.827 * [backup-simplify]: Simplify (/ 1 1) into 1
6.827 * [backup-simplify]: Simplify (+ 0 1) into 1
6.828 * [backup-simplify]: Simplify (log 1) into 0
6.828 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.828 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
6.828 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
6.829 * [backup-simplify]: Simplify (+ 1 0) into 1
6.829 * [taylor]: Taking taylor expansion of 1 in im
6.829 * [backup-simplify]: Simplify 1 into 1
6.829 * [backup-simplify]: Simplify 1 into 1
6.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.830 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow re -2/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
6.831 * [backup-simplify]: Simplify (+ 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
6.831 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) in im
6.831 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
6.831 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.832 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
6.832 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
6.832 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
6.832 * [taylor]: Taking taylor expansion of 1/3 in im
6.832 * [backup-simplify]: Simplify 1/3 into 1/3
6.832 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
6.832 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.832 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.832 * [taylor]: Taking taylor expansion of re in im
6.832 * [backup-simplify]: Simplify re into re
6.832 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.832 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.832 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
6.832 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
6.833 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
6.833 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
6.834 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
6.834 * [backup-simplify]: Simplify 0 into 0
6.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.837 * [backup-simplify]: Simplify (+ 0 0) into 0
6.838 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.839 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.839 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
6.840 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.841 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow re -2/3))) into 0
6.841 * [backup-simplify]: Simplify (+ 0 0) into 0
6.841 * [taylor]: Taking taylor expansion of 0 in im
6.841 * [backup-simplify]: Simplify 0 into 0
6.841 * [backup-simplify]: Simplify 0 into 0
6.841 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
6.843 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
6.844 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.845 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
6.845 * [backup-simplify]: Simplify 0 into 0
6.845 * [backup-simplify]: Simplify 0 into 0
6.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.848 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
6.851 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.851 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
6.852 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
6.854 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* 0 (pow re -2/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
6.855 * [backup-simplify]: Simplify (+ 0 (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
6.855 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) in im
6.855 * [taylor]: Taking taylor expansion of 1/3 in im
6.855 * [backup-simplify]: Simplify 1/3 into 1/3
6.855 * [taylor]: Taking taylor expansion of (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)) in im
6.855 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) in im
6.855 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
6.856 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.856 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.856 * [taylor]: Taking taylor expansion of im in im
6.856 * [backup-simplify]: Simplify 0 into 0
6.856 * [backup-simplify]: Simplify 1 into 1
6.856 * [backup-simplify]: Simplify (* 1 1) into 1
6.856 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.857 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
6.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
6.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
6.857 * [taylor]: Taking taylor expansion of 1/3 in im
6.857 * [backup-simplify]: Simplify 1/3 into 1/3
6.857 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
6.857 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.857 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.857 * [taylor]: Taking taylor expansion of re in im
6.857 * [backup-simplify]: Simplify re into re
6.857 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.857 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.857 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
6.858 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
6.858 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
6.858 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
6.860 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
6.860 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
6.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
6.864 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
6.866 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)))) into 0
6.869 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.880 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
6.881 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
6.881 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
6.882 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))))) into 0
6.882 * [backup-simplify]: Simplify 0 into 0
6.882 * [backup-simplify]: Simplify 0 into 0
6.882 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow (/ 1 im) 2)) (/ 1 (pow (/ 1 re) 2))) 1/6)) (pow (/ 1 (pow (/ 1 re) 2)) 1/3)) (* 1 (* 1 (/ 1 (/ 1 re))))) into (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
6.883 * [backup-simplify]: Simplify (+ (* (* (fabs (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (sqrt (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re))
6.883 * [approximate]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in (re im) around 0
6.883 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in im
6.883 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in im
6.883 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
6.884 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.884 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im
6.884 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
6.884 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.884 * [taylor]: Taking taylor expansion of 1/3 in im
6.884 * [backup-simplify]: Simplify 1/3 into 1/3
6.884 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.884 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.884 * [taylor]: Taking taylor expansion of im in im
6.884 * [backup-simplify]: Simplify 0 into 0
6.884 * [backup-simplify]: Simplify 1 into 1
6.884 * [backup-simplify]: Simplify (* 1 1) into 1
6.884 * [backup-simplify]: Simplify (/ 1 1) into 1
6.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.884 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.884 * [taylor]: Taking taylor expansion of re in im
6.884 * [backup-simplify]: Simplify re into re
6.884 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.885 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.885 * [backup-simplify]: Simplify (+ 1 0) into 1
6.885 * [backup-simplify]: Simplify (log 1) into 0
6.885 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
6.885 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
6.885 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
6.885 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.886 * [taylor]: Taking taylor expansion of re in im
6.886 * [backup-simplify]: Simplify re into re
6.886 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.886 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in re
6.886 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
6.886 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
6.886 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.886 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
6.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.886 * [taylor]: Taking taylor expansion of 1/3 in re
6.886 * [backup-simplify]: Simplify 1/3 into 1/3
6.886 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.886 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.886 * [taylor]: Taking taylor expansion of im in re
6.886 * [backup-simplify]: Simplify im into im
6.886 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.886 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.886 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.886 * [taylor]: Taking taylor expansion of re in re
6.886 * [backup-simplify]: Simplify 0 into 0
6.886 * [backup-simplify]: Simplify 1 into 1
6.887 * [backup-simplify]: Simplify (* 1 1) into 1
6.887 * [backup-simplify]: Simplify (/ 1 1) into 1
6.887 * [backup-simplify]: Simplify (+ 0 1) into 1
6.887 * [backup-simplify]: Simplify (log 1) into 0
6.888 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.888 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
6.888 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
6.888 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.888 * [taylor]: Taking taylor expansion of re in re
6.888 * [backup-simplify]: Simplify 0 into 0
6.888 * [backup-simplify]: Simplify 1 into 1
6.888 * [backup-simplify]: Simplify (/ 1 1) into 1
6.888 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in re
6.888 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re
6.888 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re
6.888 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.888 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
6.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
6.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.888 * [taylor]: Taking taylor expansion of 1/3 in re
6.888 * [backup-simplify]: Simplify 1/3 into 1/3
6.888 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.888 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.888 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.888 * [taylor]: Taking taylor expansion of im in re
6.888 * [backup-simplify]: Simplify im into im
6.889 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.889 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.889 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.889 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.889 * [taylor]: Taking taylor expansion of re in re
6.889 * [backup-simplify]: Simplify 0 into 0
6.889 * [backup-simplify]: Simplify 1 into 1
6.889 * [backup-simplify]: Simplify (* 1 1) into 1
6.889 * [backup-simplify]: Simplify (/ 1 1) into 1
6.889 * [backup-simplify]: Simplify (+ 0 1) into 1
6.890 * [backup-simplify]: Simplify (log 1) into 0
6.890 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.890 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
6.890 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
6.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.890 * [taylor]: Taking taylor expansion of re in re
6.890 * [backup-simplify]: Simplify 0 into 0
6.890 * [backup-simplify]: Simplify 1 into 1
6.890 * [backup-simplify]: Simplify (/ 1 1) into 1
6.891 * [backup-simplify]: Simplify (- 1) into -1
6.891 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.891 * [taylor]: Taking taylor expansion of -1 in im
6.891 * [backup-simplify]: Simplify -1 into -1
6.891 * [backup-simplify]: Simplify -1 into -1
6.891 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow re -2/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
6.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.892 * [backup-simplify]: Simplify (- 0) into 0
6.892 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 0) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
6.892 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) in im
6.892 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
6.893 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.893 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
6.893 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
6.893 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
6.893 * [taylor]: Taking taylor expansion of 1/3 in im
6.893 * [backup-simplify]: Simplify 1/3 into 1/3
6.893 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
6.893 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.893 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.893 * [taylor]: Taking taylor expansion of re in im
6.893 * [backup-simplify]: Simplify re into re
6.893 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.893 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.893 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
6.893 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
6.893 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
6.894 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
6.894 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
6.894 * [backup-simplify]: Simplify 0 into 0
6.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.895 * [backup-simplify]: Simplify (+ 0 0) into 0
6.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.896 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.897 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
6.897 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.897 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow re -2/3))) into 0
6.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.898 * [backup-simplify]: Simplify (- 0) into 0
6.898 * [backup-simplify]: Simplify (+ 0 0) into 0
6.899 * [taylor]: Taking taylor expansion of 0 in im
6.899 * [backup-simplify]: Simplify 0 into 0
6.899 * [backup-simplify]: Simplify 0 into 0
6.899 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
6.900 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
6.900 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.901 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
6.901 * [backup-simplify]: Simplify 0 into 0
6.901 * [backup-simplify]: Simplify 0 into 0
6.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.902 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.903 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
6.903 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.904 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
6.905 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
6.905 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* 0 (pow re -2/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
6.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.906 * [backup-simplify]: Simplify (- 0) into 0
6.907 * [backup-simplify]: Simplify (+ (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) 0) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
6.907 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) in im
6.907 * [taylor]: Taking taylor expansion of 1/3 in im
6.907 * [backup-simplify]: Simplify 1/3 into 1/3
6.907 * [taylor]: Taking taylor expansion of (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)) in im
6.907 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) in im
6.907 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im
6.908 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.908 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.908 * [taylor]: Taking taylor expansion of im in im
6.908 * [backup-simplify]: Simplify 0 into 0
6.908 * [backup-simplify]: Simplify 1 into 1
6.909 * [backup-simplify]: Simplify (* 1 1) into 1
6.909 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6))
6.909 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
6.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
6.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
6.909 * [taylor]: Taking taylor expansion of 1/3 in im
6.909 * [backup-simplify]: Simplify 1/3 into 1/3
6.909 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
6.909 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.909 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.909 * [taylor]: Taking taylor expansion of re in im
6.909 * [backup-simplify]: Simplify re into re
6.909 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.910 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.910 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
6.910 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
6.910 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
6.910 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
6.912 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
6.913 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
6.915 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
6.915 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
6.916 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)))) into 0
6.918 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.920 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
6.921 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
6.921 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))
6.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))))) into 0
6.922 * [backup-simplify]: Simplify 0 into 0
6.922 * [backup-simplify]: Simplify 0 into 0
6.922 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow (/ 1 (- im)) 2)) (/ 1 (pow (/ 1 (- re)) 2))) 1/6)) (pow (/ 1 (pow (/ 1 (- re)) 2)) 1/3)) (* -1 (* 1 (/ 1 (/ 1 (- re)))))) into (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
6.923 * * * [progress]: simplifying candidates
6.924 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp re))
  (log (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (exp (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (cbrt (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))
  (cbrt (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (* (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re) (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))
  (+ (pow (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3))
  (+ (* (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (- (* re re) (* (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))
  (- (* (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re))
  (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) (* 1/3 (* (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow re 2)) (pow (/ 1 (pow im 4)) 1/3)))))
  (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
  (+ re (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)))
6.924 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (exp (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (exp h1))
 (log (+ (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (exp (+ (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (* (cbrt (+ (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (cbrt (+ (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)))
 (cbrt (+ (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (* (* (+ (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1) (+ (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (+ (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (sqrt (+ (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (sqrt (+ (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (+ (pow (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow h1 3))
 (+ (* (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (- (* h1 h1) (* (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)))
 (- (* (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (* h1 h1))
 (- (* (* (fabs (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (+ h1 (+ (* (fabs (pow (+ (pow h1 2) (pow h0 2)) (/ 1 6))) (pow (pow h0 2) (/ 1 3))) (* (/ 1 3) (* (* (fabs (pow (+ (pow h1 2) (pow h0 2)) (/ 1 6))) (pow h1 2)) (pow (/ 1 (pow h0 4)) (/ 1 3))))))
 (+ h1 (* (fabs (pow (+ (pow h1 2) (pow h0 2)) (/ 1 6))) (pow (pow h1 2) (/ 1 3))))
 (+ h1 (* (fabs (pow (+ (pow h1 2) (pow h0 2)) (/ 1 6))) (pow (pow h1 2) (/ 1 3))))
8.667 * * * [progress]: adding candidates to table
9.222 * [progress]: [Phase 3 of 3] Extracting.
9.222 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt im)) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (pow re 2)) (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 6) (sqrt (sqrt (+ (* re re) (* im im))))) (pow re 2)) (- (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (pow re 1)))))))>)
9.229 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
9.229 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt im)) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (pow re 2)) (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 6) (sqrt (sqrt (+ (* re re) (* im im))))) (pow re 2)) (- (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (pow re 1)))))))>)
9.293 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (pow re 2)) (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 6) (sqrt (sqrt (+ (* re re) (* im im))))) (pow re 2)) (- (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (pow re 1)))))))>)
9.343 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt im)) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (pow re 2)) (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 6) (sqrt (sqrt (+ (* re re) (* im im))))) (pow re 2)) (- (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (pow re 1)))))))>)
9.420 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt im)) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (pow re 2)) (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 6) (sqrt (sqrt (+ (* re re) (* im im))))) (pow re 2)) (- (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (pow re 1)))))))>)
9.526 * * * [regime]: Found split indices: #<option (#s(si 2 123) #s(si 0 223) #s(si 5 255))>
9.527 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt im)) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (pow re 2)) (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 6) (sqrt (sqrt (+ (* re re) (* im im))))) (pow re 2)) (- (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (pow re 1)))))))>)
9.697 * [regimes]: Found splitpoints: (#s(sp 2 re 2.0589233626172684e-288) #s(sp 0 re 8.148041992667695e+135) #s(sp 5 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt im)) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (pow re 2)) (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 6) (sqrt (sqrt (+ (* re re) (* im im))))) (pow re 2)) (- (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (pow re 1)))))))>)
9.698 * [simplify]: Simplifying:
  (if (<= re 2.0589233626172684e-288) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))) (if (<= re 8.148041992667695e+135) (* 0.5 (sqrt (* 2.0 (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))) (* 0.5 (sqrt (* 2.0 (* 2 re))))))
9.698 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 (/ 1411938626932029.0 6.857655085992111e+302)) (* (/ 1.0 2.0) (sqrt (* 2.0 (/ (pow h1 2) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (if (<= h0 8.148041992667695e+135) (* (/ 1.0 2.0) (sqrt (* 2.0 (+ (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0)))) (* (/ 1.0 2.0) (sqrt (* 2.0 (* 2 h0))))))
13.692 * [regime-testing]: Baseline error score: 39.50765216709682
13.695 * [regime-testing]: Oracle error score: 18.284761279654635
13.705 * [regime-testing]: End program error score: 26.984286448586865
13.793 * [regime-testing]: Target error score: 33.74875140290767