27.300 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.055 * * * [progress]: [2/2] Setting up program.
0.064 * [progress]: [Phase 2 of 3] Improving.
0.065 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.065 * * [simplify]: iteration 0: 12 enodes
0.069 * * [simplify]: iteration 1: 22 enodes
0.075 * * [simplify]: iteration 2: 24 enodes
0.081 * * [simplify]: iteration complete: 24 enodes
0.081 * * [simplify]: Extracting #0: cost 1 inf + 0
0.081 * * [simplify]: Extracting #1: cost 3 inf + 0
0.081 * * [simplify]: Extracting #2: cost 3 inf + 1
0.081 * * [simplify]: Extracting #3: cost 7 inf + 1
0.082 * * [simplify]: Extracting #4: cost 8 inf + 2
0.082 * * [simplify]: Extracting #5: cost 8 inf + 3
0.082 * * [simplify]: Extracting #6: cost 9 inf + 45
0.082 * * [simplify]: Extracting #7: cost 9 inf + 86
0.082 * * [simplify]: Extracting #8: cost 7 inf + 128
0.082 * * [simplify]: Extracting #9: cost 5 inf + 412
0.083 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.083 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.084 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.085 * * [progress]: iteration 1 / 4
0.085 * * * [progress]: picking best candidate
0.093 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.093 * * * [progress]: localizing error
0.153 * * * [progress]: generating rewritten candidates
0.154 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.168 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.227 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.265 * * * [progress]: generating series expansions
0.265 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.265 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.265 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.265 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.266 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.266 * [taylor]: Taking taylor expansion of im in im
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.266 * [taylor]: Taking taylor expansion of re in im
0.266 * [backup-simplify]: Simplify re into re
0.266 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.266 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.266 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.266 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.267 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.267 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.267 * [taylor]: Taking taylor expansion of im in re
0.268 * [backup-simplify]: Simplify im into im
0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.268 * [taylor]: Taking taylor expansion of re in re
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.268 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.268 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.268 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.268 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.269 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.269 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.269 * [taylor]: Taking taylor expansion of im in re
0.269 * [backup-simplify]: Simplify im into im
0.269 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.269 * [taylor]: Taking taylor expansion of re in re
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.269 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.269 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.270 * [taylor]: Taking taylor expansion of im in im
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [taylor]: Taking taylor expansion of 0 in im
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.271 * [backup-simplify]: Simplify (* 1 1) into 1
0.272 * [backup-simplify]: Simplify (+ 0 1) into 1
0.272 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.273 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.273 * [taylor]: Taking taylor expansion of 1/2 in im
0.273 * [backup-simplify]: Simplify 1/2 into 1/2
0.273 * [taylor]: Taking taylor expansion of im in im
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.638 * [backup-simplify]: Simplify (+ 0 0) into 0
0.638 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.638 * [taylor]: Taking taylor expansion of 0 in im
0.638 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.639 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.639 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.639 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.639 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.639 * [taylor]: Taking taylor expansion of re in im
0.639 * [backup-simplify]: Simplify re into re
0.639 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.639 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.639 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.639 * [taylor]: Taking taylor expansion of im in im
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify 1 into 1
0.640 * [backup-simplify]: Simplify (* 1 1) into 1
0.640 * [backup-simplify]: Simplify (/ 1 1) into 1
0.640 * [backup-simplify]: Simplify (+ 0 1) into 1
0.640 * [backup-simplify]: Simplify (sqrt 1) into 1
0.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.641 * [backup-simplify]: Simplify (+ 0 0) into 0
0.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.642 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.642 * [taylor]: Taking taylor expansion of re in re
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify 1 into 1
0.642 * [backup-simplify]: Simplify (* 1 1) into 1
0.642 * [backup-simplify]: Simplify (/ 1 1) into 1
0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.643 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.643 * [taylor]: Taking taylor expansion of im in re
0.643 * [backup-simplify]: Simplify im into im
0.643 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.643 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.643 * [backup-simplify]: Simplify (+ 1 0) into 1
0.643 * [backup-simplify]: Simplify (sqrt 1) into 1
0.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.644 * [backup-simplify]: Simplify (+ 0 0) into 0
0.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.645 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.645 * [taylor]: Taking taylor expansion of re in re
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 1 into 1
0.645 * [backup-simplify]: Simplify (* 1 1) into 1
0.645 * [backup-simplify]: Simplify (/ 1 1) into 1
0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.645 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.645 * [taylor]: Taking taylor expansion of im in re
0.645 * [backup-simplify]: Simplify im into im
0.645 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.646 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.646 * [backup-simplify]: Simplify (+ 1 0) into 1
0.646 * [backup-simplify]: Simplify (sqrt 1) into 1
0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.647 * [backup-simplify]: Simplify (+ 0 0) into 0
0.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.648 * [taylor]: Taking taylor expansion of 1 in im
0.649 * [backup-simplify]: Simplify 1 into 1
0.649 * [taylor]: Taking taylor expansion of 0 in im
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify 1 into 1
0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.650 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.651 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.651 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.651 * [taylor]: Taking taylor expansion of 1/2 in im
0.651 * [backup-simplify]: Simplify 1/2 into 1/2
0.651 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.651 * [taylor]: Taking taylor expansion of im in im
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify 1 into 1
0.651 * [backup-simplify]: Simplify (* 1 1) into 1
0.651 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.654 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.654 * [backup-simplify]: Simplify (+ 0 0) into 0
0.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.654 * [taylor]: Taking taylor expansion of 0 in im
0.654 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.656 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.656 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.656 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.656 * [taylor]: Taking taylor expansion of re in im
0.656 * [backup-simplify]: Simplify re into re
0.656 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.656 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.656 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.656 * [taylor]: Taking taylor expansion of im in im
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 1 into 1
0.656 * [backup-simplify]: Simplify (* 1 1) into 1
0.657 * [backup-simplify]: Simplify (/ 1 1) into 1
0.657 * [backup-simplify]: Simplify (+ 0 1) into 1
0.657 * [backup-simplify]: Simplify (sqrt 1) into 1
0.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.658 * [backup-simplify]: Simplify (+ 0 0) into 0
0.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.659 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.659 * [taylor]: Taking taylor expansion of re in re
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify 1 into 1
0.659 * [backup-simplify]: Simplify (* 1 1) into 1
0.659 * [backup-simplify]: Simplify (/ 1 1) into 1
0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.660 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.660 * [taylor]: Taking taylor expansion of im in re
0.660 * [backup-simplify]: Simplify im into im
0.660 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.660 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.660 * [backup-simplify]: Simplify (+ 1 0) into 1
0.661 * [backup-simplify]: Simplify (sqrt 1) into 1
0.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.662 * [backup-simplify]: Simplify (+ 0 0) into 0
0.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.663 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.663 * [taylor]: Taking taylor expansion of re in re
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 1 into 1
0.664 * [backup-simplify]: Simplify (* 1 1) into 1
0.664 * [backup-simplify]: Simplify (/ 1 1) into 1
0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.664 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.664 * [taylor]: Taking taylor expansion of im in re
0.664 * [backup-simplify]: Simplify im into im
0.664 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.665 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.665 * [backup-simplify]: Simplify (+ 1 0) into 1
0.665 * [backup-simplify]: Simplify (sqrt 1) into 1
0.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.667 * [backup-simplify]: Simplify (+ 0 0) into 0
0.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.668 * [taylor]: Taking taylor expansion of 1 in im
0.668 * [backup-simplify]: Simplify 1 into 1
0.668 * [taylor]: Taking taylor expansion of 0 in im
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 1 into 1
0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.670 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.672 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.672 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.672 * [taylor]: Taking taylor expansion of 1/2 in im
0.672 * [backup-simplify]: Simplify 1/2 into 1/2
0.672 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.672 * [taylor]: Taking taylor expansion of im in im
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 1 into 1
0.672 * [backup-simplify]: Simplify (* 1 1) into 1
0.673 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.677 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.677 * [backup-simplify]: Simplify (+ 0 0) into 0
0.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.678 * [taylor]: Taking taylor expansion of 0 in im
0.678 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.680 * [backup-simplify]: Simplify 0 into 0
0.680 * [backup-simplify]: Simplify 0 into 0
0.680 * [backup-simplify]: Simplify 0 into 0
0.680 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.680 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.681 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.681 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.681 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.681 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.681 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.681 * [taylor]: Taking taylor expansion of im in im
0.681 * [backup-simplify]: Simplify 0 into 0
0.681 * [backup-simplify]: Simplify 1 into 1
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 (+ 0 (pow re 2)) into (pow re 2)
0.682 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.682 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.682 * [backup-simplify]: Simplify (+ 0 0) into 0
0.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.682 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.683 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.683 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.683 * [taylor]: Taking taylor expansion of im in re
0.683 * [backup-simplify]: Simplify im into im
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 (* im im) into (pow im 2)
0.683 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.683 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.683 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.684 * [backup-simplify]: Simplify (+ 0 0) into 0
0.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.684 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.684 * [taylor]: Taking taylor expansion of re in re
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify 1 into 1
0.684 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.684 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.684 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.684 * [taylor]: Taking taylor expansion of im in re
0.684 * [backup-simplify]: Simplify im into im
0.684 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.684 * [taylor]: Taking taylor expansion of re in re
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify 1 into 1
0.685 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.685 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.685 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.685 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.685 * [backup-simplify]: Simplify (+ 0 0) into 0
0.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.686 * [backup-simplify]: Simplify (+ 0 im) into im
0.686 * [taylor]: Taking taylor expansion of im in im
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 1 into 1
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify (+ 1 0) into 1
0.686 * [taylor]: Taking taylor expansion of 1 in im
0.686 * [backup-simplify]: Simplify 1 into 1
0.686 * [backup-simplify]: Simplify 1 into 1
0.686 * [backup-simplify]: Simplify 1 into 1
0.687 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.687 * [backup-simplify]: Simplify (* 1 1) into 1
0.688 * [backup-simplify]: Simplify (+ 0 1) into 1
0.689 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.689 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.689 * [taylor]: Taking taylor expansion of 1/2 in im
0.689 * [backup-simplify]: Simplify 1/2 into 1/2
0.689 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.689 * [taylor]: Taking taylor expansion of im in im
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 1 into 1
0.690 * [backup-simplify]: Simplify (/ 1 1) into 1
0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.691 * [backup-simplify]: Simplify 0 into 0
0.691 * [backup-simplify]: Simplify 0 into 0
0.691 * [backup-simplify]: Simplify 0 into 0
0.692 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.693 * [backup-simplify]: Simplify (+ 0 0) into 0
0.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.694 * [backup-simplify]: Simplify (+ 0 0) into 0
0.694 * [taylor]: Taking taylor expansion of 0 in im
0.694 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.696 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.697 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
0.697 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.697 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.697 * [taylor]: Taking taylor expansion of re in im
0.697 * [backup-simplify]: Simplify re into re
0.697 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.697 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.697 * [taylor]: Taking taylor expansion of re in im
0.697 * [backup-simplify]: Simplify re into re
0.697 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.697 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.697 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.697 * [taylor]: Taking taylor expansion of im in im
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify 1 into 1
0.698 * [backup-simplify]: Simplify (* 1 1) into 1
0.698 * [backup-simplify]: Simplify (/ 1 1) into 1
0.699 * [backup-simplify]: Simplify (+ 0 1) into 1
0.699 * [backup-simplify]: Simplify (sqrt 1) into 1
0.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.701 * [backup-simplify]: Simplify (+ 0 0) into 0
0.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.702 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
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
0.703 * [backup-simplify]: Simplify (* 1 1) into 1
0.703 * [backup-simplify]: Simplify (/ 1 1) into 1
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))
0.704 * [backup-simplify]: Simplify (+ 1 0) into 1
0.704 * [backup-simplify]: Simplify (sqrt 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
0.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.707 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.707 * [taylor]: Taking taylor expansion of re in re
0.707 * [backup-simplify]: Simplify 0 into 0
0.707 * [backup-simplify]: Simplify 1 into 1
0.707 * [backup-simplify]: Simplify (/ 1 1) into 1
0.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.708 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.708 * [taylor]: Taking taylor expansion of re in re
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 1 into 1
0.708 * [backup-simplify]: Simplify (* 1 1) into 1
0.708 * [backup-simplify]: Simplify (/ 1 1) into 1
0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.708 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.708 * [taylor]: Taking taylor expansion of im in re
0.709 * [backup-simplify]: Simplify im into im
0.709 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.709 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.709 * [backup-simplify]: Simplify (+ 1 0) into 1
0.710 * [backup-simplify]: Simplify (sqrt 1) into 1
0.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.711 * [backup-simplify]: Simplify (+ 0 0) into 0
0.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.713 * [backup-simplify]: Simplify (+ 1 1) into 2
0.713 * [taylor]: Taking taylor expansion of 2 in im
0.713 * [backup-simplify]: Simplify 2 into 2
0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.714 * [backup-simplify]: Simplify (+ 0 0) into 0
0.714 * [taylor]: Taking taylor expansion of 0 in im
0.714 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify 2 into 2
0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.718 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.718 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.719 * [taylor]: Taking taylor expansion of 1/2 in im
0.719 * [backup-simplify]: Simplify 1/2 into 1/2
0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.719 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.719 * [taylor]: Taking taylor expansion of im in im
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify 1 into 1
0.719 * [backup-simplify]: Simplify (* 1 1) into 1
0.719 * [backup-simplify]: Simplify (/ 1 1) into 1
0.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.722 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify 0 into 0
0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.725 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.725 * [backup-simplify]: Simplify (+ 0 0) into 0
0.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.726 * [backup-simplify]: Simplify (+ 0 0) into 0
0.727 * [taylor]: Taking taylor expansion of 0 in im
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.729 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.729 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.730 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
0.730 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.730 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.730 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.730 * [taylor]: Taking taylor expansion of re in im
0.730 * [backup-simplify]: Simplify re into re
0.730 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.730 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.730 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.730 * [taylor]: Taking taylor expansion of im in im
0.730 * [backup-simplify]: Simplify 0 into 0
0.730 * [backup-simplify]: Simplify 1 into 1
0.731 * [backup-simplify]: Simplify (* 1 1) into 1
0.731 * [backup-simplify]: Simplify (/ 1 1) into 1
0.732 * [backup-simplify]: Simplify (+ 0 1) into 1
0.732 * [backup-simplify]: Simplify (sqrt 1) into 1
0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.734 * [backup-simplify]: Simplify (+ 0 0) into 0
0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.735 * [taylor]: Taking taylor expansion of re in im
0.735 * [backup-simplify]: Simplify re into re
0.735 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.735 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.735 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.735 * [taylor]: Taking taylor expansion of re in re
0.735 * [backup-simplify]: Simplify 0 into 0
0.735 * [backup-simplify]: Simplify 1 into 1
0.736 * [backup-simplify]: Simplify (* 1 1) into 1
0.736 * [backup-simplify]: Simplify (/ 1 1) into 1
0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.736 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.736 * [taylor]: Taking taylor expansion of im in re
0.736 * [backup-simplify]: Simplify im into im
0.736 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.736 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.737 * [backup-simplify]: Simplify (+ 1 0) into 1
0.737 * [backup-simplify]: Simplify (sqrt 1) into 1
0.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.739 * [backup-simplify]: Simplify (+ 0 0) into 0
0.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.740 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.740 * [taylor]: Taking taylor expansion of re in re
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify 1 into 1
0.741 * [backup-simplify]: Simplify (/ 1 1) into 1
0.741 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.741 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.741 * [taylor]: Taking taylor expansion of re in re
0.741 * [backup-simplify]: Simplify 0 into 0
0.741 * [backup-simplify]: Simplify 1 into 1
0.741 * [backup-simplify]: Simplify (* 1 1) into 1
0.742 * [backup-simplify]: Simplify (/ 1 1) into 1
0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.742 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.742 * [taylor]: Taking taylor expansion of im in re
0.742 * [backup-simplify]: Simplify im into im
0.742 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.742 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.743 * [backup-simplify]: Simplify (+ 1 0) into 1
0.743 * [backup-simplify]: Simplify (sqrt 1) into 1
0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.745 * [backup-simplify]: Simplify (+ 0 0) into 0
0.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.746 * [taylor]: Taking taylor expansion of re in re
0.746 * [backup-simplify]: Simplify 0 into 0
0.746 * [backup-simplify]: Simplify 1 into 1
0.746 * [backup-simplify]: Simplify (/ 1 1) into 1
0.746 * [backup-simplify]: Simplify (- 1) into -1
0.747 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.747 * [taylor]: Taking taylor expansion of 0 in im
0.747 * [backup-simplify]: Simplify 0 into 0
0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.748 * [backup-simplify]: Simplify (- 0) into 0
0.749 * [backup-simplify]: Simplify (+ 0 0) into 0
0.749 * [taylor]: Taking taylor expansion of 0 in im
0.749 * [backup-simplify]: Simplify 0 into 0
0.749 * [backup-simplify]: Simplify 0 into 0
0.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.751 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.752 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.753 * [backup-simplify]: Simplify (- 0) into 0
0.754 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.754 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.754 * [taylor]: Taking taylor expansion of 1/2 in im
0.754 * [backup-simplify]: Simplify 1/2 into 1/2
0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.754 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.754 * [taylor]: Taking taylor expansion of im in im
0.754 * [backup-simplify]: Simplify 0 into 0
0.754 * [backup-simplify]: Simplify 1 into 1
0.754 * [backup-simplify]: Simplify (* 1 1) into 1
0.754 * [backup-simplify]: Simplify (/ 1 1) into 1
0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.757 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.759 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.760 * [backup-simplify]: Simplify (+ 0 0) into 0
0.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.762 * [backup-simplify]: Simplify (- 0) into 0
0.762 * [backup-simplify]: Simplify (+ 0 0) into 0
0.762 * [taylor]: Taking taylor expansion of 0 in im
0.762 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.766 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.766 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.766 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.766 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.766 * [taylor]: Taking taylor expansion of im in im
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify 1 into 1
0.766 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.766 * [taylor]: Taking taylor expansion of re in im
0.766 * [backup-simplify]: Simplify re into re
0.766 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.766 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.766 * [taylor]: Taking taylor expansion of im in re
0.766 * [backup-simplify]: Simplify im into im
0.766 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.766 * [taylor]: Taking taylor expansion of re in re
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify 1 into 1
0.767 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.767 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.767 * [taylor]: Taking taylor expansion of im in re
0.767 * [backup-simplify]: Simplify im into im
0.767 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.767 * [taylor]: Taking taylor expansion of re in re
0.767 * [backup-simplify]: Simplify 0 into 0
0.767 * [backup-simplify]: Simplify 1 into 1
0.767 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.767 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.767 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.767 * [taylor]: Taking taylor expansion of im in im
0.767 * [backup-simplify]: Simplify 0 into 0
0.767 * [backup-simplify]: Simplify 1 into 1
0.767 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.768 * [backup-simplify]: Simplify (+ 0 0) into 0
0.768 * [taylor]: Taking taylor expansion of 0 in im
0.768 * [backup-simplify]: Simplify 0 into 0
0.768 * [backup-simplify]: Simplify 0 into 0
0.768 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.769 * [backup-simplify]: Simplify (* 1 1) into 1
0.770 * [backup-simplify]: Simplify (+ 0 1) into 1
0.770 * [taylor]: Taking taylor expansion of 1 in im
0.770 * [backup-simplify]: Simplify 1 into 1
0.770 * [backup-simplify]: Simplify 1 into 1
0.770 * [backup-simplify]: Simplify 0 into 0
0.770 * [backup-simplify]: Simplify (* 1 1) into 1
0.770 * [backup-simplify]: Simplify 1 into 1
0.771 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.772 * [backup-simplify]: Simplify (+ 0 0) into 0
0.772 * [taylor]: Taking taylor expansion of 0 in im
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.773 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.775 * [backup-simplify]: Simplify (+ 0 0) into 0
0.775 * [taylor]: Taking taylor expansion of 0 in im
0.776 * [backup-simplify]: Simplify 0 into 0
0.776 * [backup-simplify]: Simplify 0 into 0
0.776 * [backup-simplify]: Simplify 0 into 0
0.776 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.776 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.776 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.776 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.776 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.776 * [taylor]: Taking taylor expansion of re in im
0.776 * [backup-simplify]: Simplify re into re
0.777 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.777 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.777 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.777 * [taylor]: Taking taylor expansion of im in im
0.777 * [backup-simplify]: Simplify 0 into 0
0.777 * [backup-simplify]: Simplify 1 into 1
0.777 * [backup-simplify]: Simplify (* 1 1) into 1
0.778 * [backup-simplify]: Simplify (/ 1 1) into 1
0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.778 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.778 * [taylor]: Taking taylor expansion of re in re
0.778 * [backup-simplify]: Simplify 0 into 0
0.778 * [backup-simplify]: Simplify 1 into 1
0.778 * [backup-simplify]: Simplify (* 1 1) into 1
0.781 * [backup-simplify]: Simplify (/ 1 1) into 1
0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.781 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.781 * [taylor]: Taking taylor expansion of im in re
0.781 * [backup-simplify]: Simplify im into im
0.781 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.781 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.781 * [taylor]: Taking taylor expansion of re in re
0.781 * [backup-simplify]: Simplify 0 into 0
0.781 * [backup-simplify]: Simplify 1 into 1
0.782 * [backup-simplify]: Simplify (* 1 1) into 1
0.782 * [backup-simplify]: Simplify (/ 1 1) into 1
0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.782 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.782 * [taylor]: Taking taylor expansion of im in re
0.783 * [backup-simplify]: Simplify im into im
0.783 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.783 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.783 * [backup-simplify]: Simplify (+ 1 0) into 1
0.783 * [taylor]: Taking taylor expansion of 1 in im
0.783 * [backup-simplify]: Simplify 1 into 1
0.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.785 * [backup-simplify]: Simplify (+ 0 0) into 0
0.785 * [taylor]: Taking taylor expansion of 0 in im
0.785 * [backup-simplify]: Simplify 0 into 0
0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.787 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.787 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.787 * [taylor]: Taking taylor expansion of im in im
0.787 * [backup-simplify]: Simplify 0 into 0
0.787 * [backup-simplify]: Simplify 1 into 1
0.788 * [backup-simplify]: Simplify (* 1 1) into 1
0.789 * [backup-simplify]: Simplify (/ 1 1) into 1
0.789 * [backup-simplify]: Simplify 1 into 1
0.789 * [backup-simplify]: Simplify 1 into 1
0.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.791 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.792 * [backup-simplify]: Simplify (+ 0 0) into 0
0.792 * [taylor]: Taking taylor expansion of 0 in im
0.792 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.795 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.796 * [backup-simplify]: Simplify (+ 0 0) into 0
0.796 * [taylor]: Taking taylor expansion of 0 in im
0.796 * [backup-simplify]: Simplify 0 into 0
0.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.797 * [backup-simplify]: Simplify 0 into 0
0.797 * [backup-simplify]: Simplify 0 into 0
0.797 * [backup-simplify]: Simplify 0 into 0
0.797 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.798 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.798 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.798 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.798 * [taylor]: Taking taylor expansion of re in im
0.798 * [backup-simplify]: Simplify re into re
0.798 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.798 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.798 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.798 * [taylor]: Taking taylor expansion of im in im
0.798 * [backup-simplify]: Simplify 0 into 0
0.798 * [backup-simplify]: Simplify 1 into 1
0.798 * [backup-simplify]: Simplify (* 1 1) into 1
0.798 * [backup-simplify]: Simplify (/ 1 1) into 1
0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.799 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.799 * [taylor]: Taking taylor expansion of re in re
0.799 * [backup-simplify]: Simplify 0 into 0
0.799 * [backup-simplify]: Simplify 1 into 1
0.799 * [backup-simplify]: Simplify (* 1 1) into 1
0.799 * [backup-simplify]: Simplify (/ 1 1) into 1
0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.799 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.799 * [taylor]: Taking taylor expansion of im in re
0.799 * [backup-simplify]: Simplify im into im
0.799 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.799 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.799 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.799 * [taylor]: Taking taylor expansion of re in re
0.799 * [backup-simplify]: Simplify 0 into 0
0.799 * [backup-simplify]: Simplify 1 into 1
0.800 * [backup-simplify]: Simplify (* 1 1) into 1
0.800 * [backup-simplify]: Simplify (/ 1 1) into 1
0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.800 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.800 * [taylor]: Taking taylor expansion of im in re
0.800 * [backup-simplify]: Simplify im into im
0.800 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.800 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.800 * [backup-simplify]: Simplify (+ 1 0) into 1
0.800 * [taylor]: Taking taylor expansion of 1 in im
0.800 * [backup-simplify]: Simplify 1 into 1
0.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.801 * [backup-simplify]: Simplify (+ 0 0) into 0
0.801 * [taylor]: Taking taylor expansion of 0 in im
0.801 * [backup-simplify]: Simplify 0 into 0
0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.803 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.803 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.803 * [taylor]: Taking taylor expansion of im in im
0.803 * [backup-simplify]: Simplify 0 into 0
0.803 * [backup-simplify]: Simplify 1 into 1
0.803 * [backup-simplify]: Simplify (* 1 1) into 1
0.803 * [backup-simplify]: Simplify (/ 1 1) into 1
0.803 * [backup-simplify]: Simplify 1 into 1
0.803 * [backup-simplify]: Simplify 1 into 1
0.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.805 * [backup-simplify]: Simplify (+ 0 0) into 0
0.805 * [taylor]: Taking taylor expansion of 0 in im
0.805 * [backup-simplify]: Simplify 0 into 0
0.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.806 * [backup-simplify]: Simplify 0 into 0
0.806 * [backup-simplify]: Simplify 0 into 0
0.806 * [backup-simplify]: Simplify 0 into 0
0.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.807 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.808 * [backup-simplify]: Simplify (+ 0 0) into 0
0.808 * [taylor]: Taking taylor expansion of 0 in im
0.808 * [backup-simplify]: Simplify 0 into 0
0.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.809 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.809 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
0.809 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.809 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.810 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.810 * [taylor]: Taking taylor expansion of 2.0 in im
0.810 * [backup-simplify]: Simplify 2.0 into 2.0
0.810 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.810 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.810 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.810 * [taylor]: Taking taylor expansion of re in im
0.810 * [backup-simplify]: Simplify re into re
0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.810 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.810 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.810 * [taylor]: Taking taylor expansion of im in im
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 1 into 1
0.810 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.810 * [taylor]: Taking taylor expansion of re in im
0.810 * [backup-simplify]: Simplify re into re
0.811 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.811 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.811 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.811 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.811 * [backup-simplify]: Simplify (+ 0 0) into 0
0.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.811 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.811 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.811 * [backup-simplify]: Simplify (+ 0 0) into 0
0.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.812 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.812 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.812 * [taylor]: Taking taylor expansion of 2.0 in re
0.812 * [backup-simplify]: Simplify 2.0 into 2.0
0.812 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.812 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.812 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.812 * [taylor]: Taking taylor expansion of re in re
0.812 * [backup-simplify]: Simplify 0 into 0
0.812 * [backup-simplify]: Simplify 1 into 1
0.812 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.812 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.812 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.812 * [taylor]: Taking taylor expansion of im in re
0.812 * [backup-simplify]: Simplify im into im
0.813 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.813 * [taylor]: Taking taylor expansion of re in re
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 1 into 1
0.813 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.813 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.813 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.813 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.813 * [backup-simplify]: Simplify (+ 0 0) into 0
0.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.813 * [backup-simplify]: Simplify (+ 0 im) into im
0.813 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.814 * [backup-simplify]: Simplify (+ 1 0) into 1
0.814 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.814 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.814 * [taylor]: Taking taylor expansion of 2.0 in re
0.814 * [backup-simplify]: Simplify 2.0 into 2.0
0.814 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.814 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.814 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.814 * [taylor]: Taking taylor expansion of re in re
0.814 * [backup-simplify]: Simplify 0 into 0
0.815 * [backup-simplify]: Simplify 1 into 1
0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.815 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.815 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.815 * [taylor]: Taking taylor expansion of im in re
0.815 * [backup-simplify]: Simplify im into im
0.815 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.815 * [taylor]: Taking taylor expansion of re in re
0.815 * [backup-simplify]: Simplify 0 into 0
0.815 * [backup-simplify]: Simplify 1 into 1
0.815 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.815 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.815 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.815 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.815 * [backup-simplify]: Simplify (+ 0 0) into 0
0.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.815 * [backup-simplify]: Simplify (+ 0 im) into im
0.815 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.816 * [backup-simplify]: Simplify (+ 1 0) into 1
0.816 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.816 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.816 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.816 * [taylor]: Taking taylor expansion of 2.0 in im
0.816 * [backup-simplify]: Simplify 2.0 into 2.0
0.816 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.817 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.817 * [taylor]: Taking taylor expansion of im in im
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 1 into 1
0.817 * [backup-simplify]: Simplify (sqrt 0) into 0
0.818 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.819 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.819 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.819 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.819 * [taylor]: Taking taylor expansion of 1/2 in im
0.819 * [backup-simplify]: Simplify 1/2 into 1/2
0.819 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.819 * [taylor]: Taking taylor expansion of 2.0 in im
0.819 * [backup-simplify]: Simplify 2.0 into 2.0
0.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.820 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.820 * [taylor]: Taking taylor expansion of im in im
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 1 into 1
0.820 * [backup-simplify]: Simplify (/ 1 1) into 1
0.821 * [backup-simplify]: Simplify (sqrt 0) into 0
0.821 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.823 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.823 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.828 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.829 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.832 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.833 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.834 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.834 * [backup-simplify]: Simplify (* 1 1) into 1
0.834 * [backup-simplify]: Simplify (+ 0 1) into 1
0.835 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.835 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.836 * [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))))
0.837 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.838 * [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)))))
0.838 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.838 * [taylor]: Taking taylor expansion of 1/8 in im
0.838 * [backup-simplify]: Simplify 1/8 into 1/8
0.838 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.838 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.838 * [taylor]: Taking taylor expansion of 2.0 in im
0.839 * [backup-simplify]: Simplify 2.0 into 2.0
0.839 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.839 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.839 * [taylor]: Taking taylor expansion of im in im
0.839 * [backup-simplify]: Simplify 0 into 0
0.839 * [backup-simplify]: Simplify 1 into 1
0.840 * [backup-simplify]: Simplify (* 1 1) into 1
0.840 * [backup-simplify]: Simplify (* 1 1) into 1
0.840 * [backup-simplify]: Simplify (/ 1 1) into 1
0.840 * [backup-simplify]: Simplify (sqrt 0) into 0
0.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.844 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.845 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.846 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.847 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.848 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.851 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.852 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.855 * [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)))))))
0.855 * [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 re 2)) (/ 1 (pow im 2)))))))
0.855 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0
0.855 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.855 * [taylor]: Taking taylor expansion of 2.0 in im
0.855 * [backup-simplify]: Simplify 2.0 into 2.0
0.855 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.856 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.856 * [taylor]: Taking taylor expansion of re in im
0.856 * [backup-simplify]: Simplify re into re
0.856 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.856 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.856 * [taylor]: Taking taylor expansion of re in im
0.856 * [backup-simplify]: Simplify re into re
0.856 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.856 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.856 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.856 * [taylor]: Taking taylor expansion of im in im
0.856 * [backup-simplify]: Simplify 0 into 0
0.856 * [backup-simplify]: Simplify 1 into 1
0.856 * [backup-simplify]: Simplify (* 1 1) into 1
0.857 * [backup-simplify]: Simplify (/ 1 1) into 1
0.857 * [backup-simplify]: Simplify (+ 0 1) into 1
0.857 * [backup-simplify]: Simplify (sqrt 1) into 1
0.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.858 * [backup-simplify]: Simplify (+ 0 0) into 0
0.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.859 * [backup-simplify]: Simplify (+ 0 1) into 1
0.859 * [backup-simplify]: Simplify (sqrt 0) into 0
0.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.860 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.860 * [taylor]: Taking taylor expansion of 2.0 in re
0.860 * [backup-simplify]: Simplify 2.0 into 2.0
0.860 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.861 * [taylor]: Taking taylor expansion of re in re
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify 1 into 1
0.861 * [backup-simplify]: Simplify (/ 1 1) into 1
0.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.861 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.861 * [taylor]: Taking taylor expansion of re in re
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify 1 into 1
0.861 * [backup-simplify]: Simplify (* 1 1) into 1
0.862 * [backup-simplify]: Simplify (/ 1 1) into 1
0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.862 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.862 * [taylor]: Taking taylor expansion of im in re
0.862 * [backup-simplify]: Simplify im into im
0.862 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.862 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.862 * [backup-simplify]: Simplify (+ 1 0) into 1
0.862 * [backup-simplify]: Simplify (sqrt 1) into 1
0.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.864 * [backup-simplify]: Simplify (+ 0 0) into 0
0.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.864 * [backup-simplify]: Simplify (+ 1 1) into 2
0.864 * [backup-simplify]: Simplify (sqrt 0) into 0
0.865 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.865 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.865 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.865 * [taylor]: Taking taylor expansion of 2.0 in re
0.865 * [backup-simplify]: Simplify 2.0 into 2.0
0.866 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.866 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.866 * [taylor]: Taking taylor expansion of re in re
0.866 * [backup-simplify]: Simplify 0 into 0
0.866 * [backup-simplify]: Simplify 1 into 1
0.867 * [backup-simplify]: Simplify (/ 1 1) into 1
0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.867 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.867 * [taylor]: Taking taylor expansion of re in re
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 1 into 1
0.867 * [backup-simplify]: Simplify (* 1 1) into 1
0.867 * [backup-simplify]: Simplify (/ 1 1) into 1
0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.867 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.867 * [taylor]: Taking taylor expansion of im in re
0.867 * [backup-simplify]: Simplify im into im
0.868 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.868 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.868 * [backup-simplify]: Simplify (+ 1 0) into 1
0.869 * [backup-simplify]: Simplify (sqrt 1) into 1
0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.871 * [backup-simplify]: Simplify (+ 0 0) into 0
0.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.872 * [backup-simplify]: Simplify (+ 1 1) into 2
0.872 * [backup-simplify]: Simplify (sqrt 0) into 0
0.873 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.874 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.874 * [taylor]: Taking taylor expansion of 0 in im
0.874 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.876 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.876 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.876 * [taylor]: Taking taylor expansion of +nan.0 in im
0.876 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.876 * [taylor]: Taking taylor expansion of 2.0 in im
0.876 * [backup-simplify]: Simplify 2.0 into 2.0
0.877 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.879 * [backup-simplify]: Simplify (+ 0 0) into 0
0.882 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.886 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.886 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.886 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.886 * [taylor]: Taking taylor expansion of +nan.0 in im
0.886 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.886 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.886 * [taylor]: Taking taylor expansion of 2.0 in im
0.886 * [backup-simplify]: Simplify 2.0 into 2.0
0.886 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.888 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.890 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.891 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.891 * [backup-simplify]: Simplify 0 into 0
0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.897 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.899 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.899 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.901 * [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))
0.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.902 * [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)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.902 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.902 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.902 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.902 * [taylor]: Taking taylor expansion of +nan.0 in im
0.902 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.903 * [taylor]: Taking taylor expansion of 2.0 in im
0.903 * [backup-simplify]: Simplify 2.0 into 2.0
0.903 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.903 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.903 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.903 * [taylor]: Taking taylor expansion of +nan.0 in im
0.903 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.903 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.903 * [taylor]: Taking taylor expansion of 2.0 in im
0.903 * [backup-simplify]: Simplify 2.0 into 2.0
0.904 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.904 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.904 * [taylor]: Taking taylor expansion of im in im
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 1 into 1
0.904 * [backup-simplify]: Simplify (* 1 1) into 1
0.905 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.907 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.907 * [backup-simplify]: Simplify (- 0) into 0
0.907 * [backup-simplify]: Simplify (+ 0 0) into 0
0.908 * [backup-simplify]: Simplify (- 0) into 0
0.908 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.909 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.910 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.910 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.911 * [backup-simplify]: Simplify (- 0) into 0
0.911 * [backup-simplify]: Simplify 0 into 0
0.911 * [backup-simplify]: Simplify 0 into 0
0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.912 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.913 * [backup-simplify]: Simplify (+ 0 0) into 0
0.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.914 * [backup-simplify]: Simplify (+ 0 0) into 0
0.914 * [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)))
0.915 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.916 * [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)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.916 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.917 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.917 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.917 * [taylor]: Taking taylor expansion of +nan.0 in im
0.917 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.917 * [taylor]: Taking taylor expansion of 2.0 in im
0.917 * [backup-simplify]: Simplify 2.0 into 2.0
0.917 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.917 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.917 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.917 * [taylor]: Taking taylor expansion of +nan.0 in im
0.917 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.917 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.917 * [taylor]: Taking taylor expansion of 2.0 in im
0.917 * [backup-simplify]: Simplify 2.0 into 2.0
0.918 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.918 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.918 * [taylor]: Taking taylor expansion of im in im
0.918 * [backup-simplify]: Simplify 0 into 0
0.918 * [backup-simplify]: Simplify 1 into 1
0.918 * [backup-simplify]: Simplify (* 1 1) into 1
0.919 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.920 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.921 * [backup-simplify]: Simplify (- 0) into 0
0.921 * [backup-simplify]: Simplify (+ 0 0) into 0
0.921 * [backup-simplify]: Simplify (- 0) into 0
0.921 * [backup-simplify]: Simplify 0 into 0
0.922 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.924 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.924 * [backup-simplify]: Simplify (- 0) into 0
0.925 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.927 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.928 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.933 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.933 * [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 re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
0.934 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0
0.934 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.934 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.934 * [taylor]: Taking taylor expansion of 2.0 in im
0.934 * [backup-simplify]: Simplify 2.0 into 2.0
0.934 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.935 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.935 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.935 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.935 * [taylor]: Taking taylor expansion of re in im
0.935 * [backup-simplify]: Simplify re into re
0.935 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.935 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.936 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.936 * [taylor]: Taking taylor expansion of im in im
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify 1 into 1
0.936 * [backup-simplify]: Simplify (* 1 1) into 1
0.936 * [backup-simplify]: Simplify (/ 1 1) into 1
0.937 * [backup-simplify]: Simplify (+ 0 1) into 1
0.937 * [backup-simplify]: Simplify (sqrt 1) into 1
0.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.939 * [backup-simplify]: Simplify (+ 0 0) into 0
0.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.940 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.940 * [taylor]: Taking taylor expansion of re in im
0.940 * [backup-simplify]: Simplify re into re
0.940 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.940 * [backup-simplify]: Simplify (+ 1 0) into 1
0.941 * [backup-simplify]: Simplify (sqrt 0) into 0
0.942 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.942 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.942 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.942 * [taylor]: Taking taylor expansion of 2.0 in re
0.942 * [backup-simplify]: Simplify 2.0 into 2.0
0.943 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.943 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.943 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.943 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.943 * [taylor]: Taking taylor expansion of re in re
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [backup-simplify]: Simplify 1 into 1
0.944 * [backup-simplify]: Simplify (* 1 1) into 1
0.944 * [backup-simplify]: Simplify (/ 1 1) into 1
0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.944 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.944 * [taylor]: Taking taylor expansion of im in re
0.944 * [backup-simplify]: Simplify im into im
0.944 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.944 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.944 * [backup-simplify]: Simplify (+ 1 0) into 1
0.945 * [backup-simplify]: Simplify (sqrt 1) into 1
0.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.946 * [backup-simplify]: Simplify (+ 0 0) into 0
0.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.946 * [taylor]: Taking taylor expansion of re in re
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify 1 into 1
0.946 * [backup-simplify]: Simplify (/ 1 1) into 1
0.947 * [backup-simplify]: Simplify (- 1) into -1
0.947 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.948 * [backup-simplify]: Simplify (- 0) into 0
0.948 * [backup-simplify]: Simplify (+ 0 0) into 0
0.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.949 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.950 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.951 * [backup-simplify]: Simplify (- 0) into 0
0.951 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.951 * [backup-simplify]: Simplify (sqrt 0) into 0
0.952 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.952 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.952 * [taylor]: Taking taylor expansion of 2.0 in re
0.952 * [backup-simplify]: Simplify 2.0 into 2.0
0.952 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.952 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.952 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.952 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.953 * [taylor]: Taking taylor expansion of re in re
0.953 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify 1 into 1
0.953 * [backup-simplify]: Simplify (* 1 1) into 1
0.953 * [backup-simplify]: Simplify (/ 1 1) into 1
0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.953 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.953 * [taylor]: Taking taylor expansion of im in re
0.953 * [backup-simplify]: Simplify im into im
0.953 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.953 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.954 * [backup-simplify]: Simplify (+ 1 0) into 1
0.954 * [backup-simplify]: Simplify (sqrt 1) into 1
0.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.955 * [backup-simplify]: Simplify (+ 0 0) into 0
0.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.955 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.955 * [taylor]: Taking taylor expansion of re in re
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 1 into 1
0.955 * [backup-simplify]: Simplify (/ 1 1) into 1
0.956 * [backup-simplify]: Simplify (- 1) into -1
0.956 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.957 * [backup-simplify]: Simplify (- 0) into 0
0.957 * [backup-simplify]: Simplify (+ 0 0) into 0
0.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.958 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.959 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.960 * [backup-simplify]: Simplify (- 0) into 0
0.960 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.960 * [backup-simplify]: Simplify (sqrt 0) into 0
0.961 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.961 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.961 * [taylor]: Taking taylor expansion of 0 in im
0.961 * [backup-simplify]: Simplify 0 into 0
0.962 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.962 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.962 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.962 * [taylor]: Taking taylor expansion of +nan.0 in im
0.962 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.962 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.962 * [taylor]: Taking taylor expansion of 2.0 in im
0.962 * [backup-simplify]: Simplify 2.0 into 2.0
0.962 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.963 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.963 * [taylor]: Taking taylor expansion of im in im
0.963 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify 1 into 1
0.963 * [backup-simplify]: Simplify (* 1 1) into 1
0.963 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.965 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.965 * [backup-simplify]: Simplify (- 0) into 0
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [backup-simplify]: Simplify 0 into 0
0.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.967 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.967 * [backup-simplify]: Simplify (+ 0 0) into 0
0.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.968 * [backup-simplify]: Simplify (- 0) into 0
0.969 * [backup-simplify]: Simplify (+ 0 0) into 0
0.969 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.971 * [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))))
0.971 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.971 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.971 * [taylor]: Taking taylor expansion of +nan.0 in im
0.971 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.971 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.971 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.971 * [taylor]: Taking taylor expansion of 2.0 in im
0.971 * [backup-simplify]: Simplify 2.0 into 2.0
0.971 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.972 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.972 * [taylor]: Taking taylor expansion of im in im
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify 1 into 1
0.972 * [backup-simplify]: Simplify (* 1 1) into 1
0.973 * [backup-simplify]: Simplify (* 1 1) into 1
0.973 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.974 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.984 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.985 * [backup-simplify]: Simplify (- 0) into 0
0.985 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.989 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.990 * [backup-simplify]: Simplify (- 0) into 0
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.993 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.994 * [backup-simplify]: Simplify (+ 0 0) into 0
0.996 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.997 * [backup-simplify]: Simplify (- 0) into 0
0.997 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.999 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
1.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.002 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 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))))))
1.003 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
1.003 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
1.003 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
1.003 * [taylor]: Taking taylor expansion of +nan.0 in im
1.003 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.003 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
1.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.003 * [taylor]: Taking taylor expansion of 2.0 in im
1.003 * [backup-simplify]: Simplify 2.0 into 2.0
1.003 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.004 * [taylor]: Taking taylor expansion of (pow im 4) in im
1.004 * [taylor]: Taking taylor expansion of im in im
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 1 into 1
1.005 * [backup-simplify]: Simplify (* 1 1) into 1
1.005 * [backup-simplify]: Simplify (* 1 1) into 1
1.008 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.008 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
1.008 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
1.008 * [taylor]: Taking taylor expansion of +nan.0 in im
1.008 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.008 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
1.008 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.008 * [taylor]: Taking taylor expansion of 2.0 in im
1.008 * [backup-simplify]: Simplify 2.0 into 2.0
1.009 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.009 * [taylor]: Taking taylor expansion of (pow im 6) in im
1.010 * [taylor]: Taking taylor expansion of im in im
1.010 * [backup-simplify]: Simplify 0 into 0
1.010 * [backup-simplify]: Simplify 1 into 1
1.010 * [backup-simplify]: Simplify (* 1 1) into 1
1.010 * [backup-simplify]: Simplify (* 1 1) into 1
1.011 * [backup-simplify]: Simplify (* 1 1) into 1
1.012 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.013 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.024 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
1.026 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.028 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.041 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
1.041 * [backup-simplify]: Simplify (- 0) into 0
1.042 * [backup-simplify]: Simplify (+ 0 0) into 0
1.042 * [backup-simplify]: Simplify (- 0) into 0
1.042 * [backup-simplify]: Simplify 0 into 0
1.042 * [backup-simplify]: Simplify 0 into 0
1.042 * * * [progress]: simplifying candidates
1.043 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  (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))))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (- (+ (* +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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
1.044 * * [simplify]: iteration 0: 108 enodes
1.075 * * [simplify]: iteration 1: 276 enodes
1.227 * * [simplify]: iteration 2: 807 enodes
1.741 * * [simplify]: iteration 3: 2947 enodes
2.648 * * [simplify]: iteration complete: 5000 enodes
2.648 * * [simplify]: Extracting #0: cost 55 inf + 0
2.649 * * [simplify]: Extracting #1: cost 243 inf + 46
2.652 * * [simplify]: Extracting #2: cost 1177 inf + 4215
2.673 * * [simplify]: Extracting #3: cost 1013 inf + 77613
2.736 * * [simplify]: Extracting #4: cost 224 inf + 205906
2.798 * * [simplify]: Extracting #5: cost 82 inf + 254086
2.868 * * [simplify]: Extracting #6: cost 11 inf + 266210
2.966 * * [simplify]: Extracting #7: cost 0 inf + 269313
3.064 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (+ (- (+ (* im im) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) (* re re))
  (* im im)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (exp (+ (* re re) (* im im)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (+ (* im im) (* re re)) (* (+ (* im im) (* re re)) (+ (* im im) (* re re))))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im)))
  (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (* (+ re im) (- re im))
  (log (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (exp (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
  (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* 2.0 (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))))
  (sqrt (+ (- (+ (* im im) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) (* re re)))
  (sqrt (* 2.0 (* im im)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (- (* (* (sqrt 2.0) +nan.0) (- (* re re) (- im re))))
  (+ (* (- (sqrt 2.0)) +nan.0) (- (* +nan.0 (/ (sqrt 2.0) re)) (/ (* (/ (sqrt 2.0) re) +nan.0) re)))
  0
3.073 * * * [progress]: adding candidates to table
3.477 * * [progress]: iteration 2 / 4
3.477 * * * [progress]: picking best candidate
3.503 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.503 * * * [progress]: localizing error
3.568 * * * [progress]: generating rewritten candidates
3.568 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 1)
3.581 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1)
3.593 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2)
3.639 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2)
3.682 * * * [progress]: generating series expansions
3.682 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 1)
3.682 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.682 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.682 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.682 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.682 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.683 * [taylor]: Taking taylor expansion of im in im
3.683 * [backup-simplify]: Simplify 0 into 0
3.683 * [backup-simplify]: Simplify 1 into 1
3.683 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.683 * [taylor]: Taking taylor expansion of re in im
3.683 * [backup-simplify]: Simplify re into re
3.683 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.683 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.683 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.683 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.683 * [backup-simplify]: Simplify (+ 0 0) into 0
3.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.684 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.684 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.684 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.684 * [taylor]: Taking taylor expansion of im in re
3.684 * [backup-simplify]: Simplify im into im
3.684 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.684 * [taylor]: Taking taylor expansion of re in re
3.684 * [backup-simplify]: Simplify 0 into 0
3.684 * [backup-simplify]: Simplify 1 into 1
3.684 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.684 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.684 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.684 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.684 * [backup-simplify]: Simplify (+ 0 0) into 0
3.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.684 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.684 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.684 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.684 * [taylor]: Taking taylor expansion of im in re
3.684 * [backup-simplify]: Simplify im into im
3.684 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.684 * [taylor]: Taking taylor expansion of re in re
3.684 * [backup-simplify]: Simplify 0 into 0
3.684 * [backup-simplify]: Simplify 1 into 1
3.684 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.685 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.685 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.685 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.685 * [backup-simplify]: Simplify (+ 0 0) into 0
3.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.685 * [taylor]: Taking taylor expansion of im in im
3.685 * [backup-simplify]: Simplify 0 into 0
3.685 * [backup-simplify]: Simplify 1 into 1
3.685 * [backup-simplify]: Simplify 0 into 0
3.685 * [taylor]: Taking taylor expansion of 0 in im
3.685 * [backup-simplify]: Simplify 0 into 0
3.685 * [backup-simplify]: Simplify 0 into 0
3.685 * [backup-simplify]: Simplify 1 into 1
3.686 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.686 * [backup-simplify]: Simplify (* 1 1) into 1
3.686 * [backup-simplify]: Simplify (+ 0 1) into 1
3.687 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.687 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.687 * [taylor]: Taking taylor expansion of 1/2 in im
3.687 * [backup-simplify]: Simplify 1/2 into 1/2
3.687 * [taylor]: Taking taylor expansion of im in im
3.687 * [backup-simplify]: Simplify 0 into 0
3.687 * [backup-simplify]: Simplify 1 into 1
3.687 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.687 * [backup-simplify]: Simplify 0 into 0
3.688 * [backup-simplify]: Simplify 0 into 0
3.688 * [backup-simplify]: Simplify 0 into 0
3.688 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.689 * [backup-simplify]: Simplify (+ 0 0) into 0
3.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.689 * [taylor]: Taking taylor expansion of 0 in im
3.689 * [backup-simplify]: Simplify 0 into 0
3.689 * [backup-simplify]: Simplify 0 into 0
3.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.689 * [backup-simplify]: Simplify 0 into 0
3.689 * [backup-simplify]: Simplify 0 into 0
3.690 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.690 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.690 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.690 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.690 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.690 * [taylor]: Taking taylor expansion of re in im
3.690 * [backup-simplify]: Simplify re into re
3.690 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.690 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.690 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.690 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.690 * [taylor]: Taking taylor expansion of im in im
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [backup-simplify]: Simplify 1 into 1
3.690 * [backup-simplify]: Simplify (* 1 1) into 1
3.691 * [backup-simplify]: Simplify (/ 1 1) into 1
3.691 * [backup-simplify]: Simplify (+ 0 1) into 1
3.691 * [backup-simplify]: Simplify (sqrt 1) into 1
3.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.692 * [backup-simplify]: Simplify (+ 0 0) into 0
3.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.693 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.693 * [taylor]: Taking taylor expansion of re in re
3.693 * [backup-simplify]: Simplify 0 into 0
3.693 * [backup-simplify]: Simplify 1 into 1
3.693 * [backup-simplify]: Simplify (* 1 1) into 1
3.693 * [backup-simplify]: Simplify (/ 1 1) into 1
3.693 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.693 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.693 * [taylor]: Taking taylor expansion of im in re
3.693 * [backup-simplify]: Simplify im into im
3.693 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.693 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.694 * [backup-simplify]: Simplify (+ 1 0) into 1
3.694 * [backup-simplify]: Simplify (sqrt 1) into 1
3.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.695 * [backup-simplify]: Simplify (+ 0 0) into 0
3.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.695 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.695 * [taylor]: Taking taylor expansion of re in re
3.695 * [backup-simplify]: Simplify 0 into 0
3.695 * [backup-simplify]: Simplify 1 into 1
3.696 * [backup-simplify]: Simplify (* 1 1) into 1
3.696 * [backup-simplify]: Simplify (/ 1 1) into 1
3.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.696 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.696 * [taylor]: Taking taylor expansion of im in re
3.696 * [backup-simplify]: Simplify im into im
3.696 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.696 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.697 * [backup-simplify]: Simplify (+ 1 0) into 1
3.697 * [backup-simplify]: Simplify (sqrt 1) into 1
3.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.698 * [backup-simplify]: Simplify (+ 0 0) into 0
3.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.699 * [taylor]: Taking taylor expansion of 1 in im
3.699 * [backup-simplify]: Simplify 1 into 1
3.699 * [taylor]: Taking taylor expansion of 0 in im
3.699 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify 1 into 1
3.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.700 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.701 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.701 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.701 * [taylor]: Taking taylor expansion of 1/2 in im
3.701 * [backup-simplify]: Simplify 1/2 into 1/2
3.701 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.701 * [taylor]: Taking taylor expansion of im in im
3.701 * [backup-simplify]: Simplify 0 into 0
3.701 * [backup-simplify]: Simplify 1 into 1
3.702 * [backup-simplify]: Simplify (* 1 1) into 1
3.702 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.704 * [backup-simplify]: Simplify 0 into 0
3.704 * [backup-simplify]: Simplify 0 into 0
3.704 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.706 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.707 * [backup-simplify]: Simplify (+ 0 0) into 0
3.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.708 * [taylor]: Taking taylor expansion of 0 in im
3.708 * [backup-simplify]: Simplify 0 into 0
3.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.710 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.710 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.710 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.710 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.710 * [taylor]: Taking taylor expansion of re in im
3.711 * [backup-simplify]: Simplify re into re
3.711 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.711 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.711 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.711 * [taylor]: Taking taylor expansion of im in im
3.711 * [backup-simplify]: Simplify 0 into 0
3.711 * [backup-simplify]: Simplify 1 into 1
3.711 * [backup-simplify]: Simplify (* 1 1) into 1
3.712 * [backup-simplify]: Simplify (/ 1 1) into 1
3.712 * [backup-simplify]: Simplify (+ 0 1) into 1
3.713 * [backup-simplify]: Simplify (sqrt 1) into 1
3.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.714 * [backup-simplify]: Simplify (+ 0 0) into 0
3.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.715 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.715 * [taylor]: Taking taylor expansion of re in re
3.715 * [backup-simplify]: Simplify 0 into 0
3.715 * [backup-simplify]: Simplify 1 into 1
3.716 * [backup-simplify]: Simplify (* 1 1) into 1
3.716 * [backup-simplify]: Simplify (/ 1 1) into 1
3.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.716 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.716 * [taylor]: Taking taylor expansion of im in re
3.716 * [backup-simplify]: Simplify im into im
3.716 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.716 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.717 * [backup-simplify]: Simplify (+ 1 0) into 1
3.717 * [backup-simplify]: Simplify (sqrt 1) into 1
3.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.719 * [backup-simplify]: Simplify (+ 0 0) into 0
3.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.720 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.720 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.720 * [taylor]: Taking taylor expansion of re in re
3.720 * [backup-simplify]: Simplify 0 into 0
3.720 * [backup-simplify]: Simplify 1 into 1
3.720 * [backup-simplify]: Simplify (* 1 1) into 1
3.720 * [backup-simplify]: Simplify (/ 1 1) into 1
3.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.720 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.721 * [taylor]: Taking taylor expansion of im in re
3.721 * [backup-simplify]: Simplify im into im
3.721 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.721 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.721 * [backup-simplify]: Simplify (+ 1 0) into 1
3.722 * [backup-simplify]: Simplify (sqrt 1) into 1
3.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.723 * [backup-simplify]: Simplify (+ 0 0) into 0
3.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.724 * [taylor]: Taking taylor expansion of 1 in im
3.724 * [backup-simplify]: Simplify 1 into 1
3.724 * [taylor]: Taking taylor expansion of 0 in im
3.724 * [backup-simplify]: Simplify 0 into 0
3.724 * [backup-simplify]: Simplify 1 into 1
3.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.726 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.728 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.728 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.728 * [taylor]: Taking taylor expansion of 1/2 in im
3.728 * [backup-simplify]: Simplify 1/2 into 1/2
3.728 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.728 * [taylor]: Taking taylor expansion of im in im
3.728 * [backup-simplify]: Simplify 0 into 0
3.728 * [backup-simplify]: Simplify 1 into 1
3.728 * [backup-simplify]: Simplify (* 1 1) into 1
3.729 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [backup-simplify]: Simplify 0 into 0
3.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.733 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.733 * [backup-simplify]: Simplify (+ 0 0) into 0
3.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.734 * [taylor]: Taking taylor expansion of 0 in im
3.734 * [backup-simplify]: Simplify 0 into 0
3.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.736 * [backup-simplify]: Simplify 0 into 0
3.736 * [backup-simplify]: Simplify 0 into 0
3.736 * [backup-simplify]: Simplify 0 into 0
3.737 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.737 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1)
3.737 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.737 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.737 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.737 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.737 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.737 * [taylor]: Taking taylor expansion of im in im
3.737 * [backup-simplify]: Simplify 0 into 0
3.737 * [backup-simplify]: Simplify 1 into 1
3.737 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.737 * [taylor]: Taking taylor expansion of re in im
3.737 * [backup-simplify]: Simplify re into re
3.737 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.737 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.738 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.738 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.738 * [backup-simplify]: Simplify (+ 0 0) into 0
3.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.738 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.738 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.738 * [taylor]: Taking taylor expansion of im in re
3.739 * [backup-simplify]: Simplify im into im
3.739 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.739 * [taylor]: Taking taylor expansion of re in re
3.739 * [backup-simplify]: Simplify 0 into 0
3.739 * [backup-simplify]: Simplify 1 into 1
3.739 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.739 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.739 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.739 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.739 * [backup-simplify]: Simplify (+ 0 0) into 0
3.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.740 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.740 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.740 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.740 * [taylor]: Taking taylor expansion of im in re
3.740 * [backup-simplify]: Simplify im into im
3.740 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.740 * [taylor]: Taking taylor expansion of re in re
3.740 * [backup-simplify]: Simplify 0 into 0
3.740 * [backup-simplify]: Simplify 1 into 1
3.740 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.740 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.740 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.740 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.741 * [backup-simplify]: Simplify (+ 0 0) into 0
3.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.741 * [taylor]: Taking taylor expansion of im in im
3.741 * [backup-simplify]: Simplify 0 into 0
3.741 * [backup-simplify]: Simplify 1 into 1
3.741 * [backup-simplify]: Simplify 0 into 0
3.741 * [taylor]: Taking taylor expansion of 0 in im
3.741 * [backup-simplify]: Simplify 0 into 0
3.741 * [backup-simplify]: Simplify 0 into 0
3.741 * [backup-simplify]: Simplify 1 into 1
3.742 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.742 * [backup-simplify]: Simplify (* 1 1) into 1
3.742 * [backup-simplify]: Simplify (+ 0 1) into 1
3.743 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.743 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.743 * [taylor]: Taking taylor expansion of 1/2 in im
3.743 * [backup-simplify]: Simplify 1/2 into 1/2
3.743 * [taylor]: Taking taylor expansion of im in im
3.743 * [backup-simplify]: Simplify 0 into 0
3.743 * [backup-simplify]: Simplify 1 into 1
3.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.745 * [backup-simplify]: Simplify 0 into 0
3.745 * [backup-simplify]: Simplify 0 into 0
3.745 * [backup-simplify]: Simplify 0 into 0
3.746 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.747 * [backup-simplify]: Simplify (+ 0 0) into 0
3.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.747 * [taylor]: Taking taylor expansion of 0 in im
3.747 * [backup-simplify]: Simplify 0 into 0
3.748 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.749 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.749 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.749 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.749 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.749 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.749 * [taylor]: Taking taylor expansion of re in im
3.749 * [backup-simplify]: Simplify re into re
3.749 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.750 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.750 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.750 * [taylor]: Taking taylor expansion of im in im
3.750 * [backup-simplify]: Simplify 0 into 0
3.750 * [backup-simplify]: Simplify 1 into 1
3.750 * [backup-simplify]: Simplify (* 1 1) into 1
3.751 * [backup-simplify]: Simplify (/ 1 1) into 1
3.751 * [backup-simplify]: Simplify (+ 0 1) into 1
3.751 * [backup-simplify]: Simplify (sqrt 1) into 1
3.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.753 * [backup-simplify]: Simplify (+ 0 0) into 0
3.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.754 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.754 * [taylor]: Taking taylor expansion of re in re
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 1 into 1
3.755 * [backup-simplify]: Simplify (* 1 1) into 1
3.755 * [backup-simplify]: Simplify (/ 1 1) into 1
3.755 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.755 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.755 * [taylor]: Taking taylor expansion of im in re
3.755 * [backup-simplify]: Simplify im into im
3.755 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.755 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.756 * [backup-simplify]: Simplify (+ 1 0) into 1
3.756 * [backup-simplify]: Simplify (sqrt 1) into 1
3.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.758 * [backup-simplify]: Simplify (+ 0 0) into 0
3.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.759 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.759 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.759 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.759 * [taylor]: Taking taylor expansion of re in re
3.759 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify 1 into 1
3.759 * [backup-simplify]: Simplify (* 1 1) into 1
3.760 * [backup-simplify]: Simplify (/ 1 1) into 1
3.760 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.760 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.760 * [taylor]: Taking taylor expansion of im in re
3.760 * [backup-simplify]: Simplify im into im
3.760 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.760 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.761 * [backup-simplify]: Simplify (+ 1 0) into 1
3.761 * [backup-simplify]: Simplify (sqrt 1) into 1
3.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.763 * [backup-simplify]: Simplify (+ 0 0) into 0
3.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.764 * [taylor]: Taking taylor expansion of 1 in im
3.764 * [backup-simplify]: Simplify 1 into 1
3.764 * [taylor]: Taking taylor expansion of 0 in im
3.764 * [backup-simplify]: Simplify 0 into 0
3.764 * [backup-simplify]: Simplify 1 into 1
3.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.766 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.767 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.767 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.767 * [taylor]: Taking taylor expansion of 1/2 in im
3.767 * [backup-simplify]: Simplify 1/2 into 1/2
3.767 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.767 * [taylor]: Taking taylor expansion of im in im
3.767 * [backup-simplify]: Simplify 0 into 0
3.767 * [backup-simplify]: Simplify 1 into 1
3.768 * [backup-simplify]: Simplify (* 1 1) into 1
3.768 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.770 * [backup-simplify]: Simplify 0 into 0
3.770 * [backup-simplify]: Simplify 0 into 0
3.770 * [backup-simplify]: Simplify 0 into 0
3.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.772 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.773 * [backup-simplify]: Simplify (+ 0 0) into 0
3.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.774 * [taylor]: Taking taylor expansion of 0 in im
3.774 * [backup-simplify]: Simplify 0 into 0
3.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.776 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.776 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.776 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.777 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.777 * [taylor]: Taking taylor expansion of re in im
3.777 * [backup-simplify]: Simplify re into re
3.777 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.777 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.777 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.777 * [taylor]: Taking taylor expansion of im in im
3.777 * [backup-simplify]: Simplify 0 into 0
3.777 * [backup-simplify]: Simplify 1 into 1
3.777 * [backup-simplify]: Simplify (* 1 1) into 1
3.778 * [backup-simplify]: Simplify (/ 1 1) into 1
3.778 * [backup-simplify]: Simplify (+ 0 1) into 1
3.779 * [backup-simplify]: Simplify (sqrt 1) into 1
3.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.780 * [backup-simplify]: Simplify (+ 0 0) into 0
3.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.781 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.781 * [taylor]: Taking taylor expansion of re in re
3.781 * [backup-simplify]: Simplify 0 into 0
3.781 * [backup-simplify]: Simplify 1 into 1
3.782 * [backup-simplify]: Simplify (* 1 1) into 1
3.782 * [backup-simplify]: Simplify (/ 1 1) into 1
3.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.782 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.782 * [taylor]: Taking taylor expansion of im in re
3.782 * [backup-simplify]: Simplify im into im
3.782 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.782 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.783 * [backup-simplify]: Simplify (+ 1 0) into 1
3.783 * [backup-simplify]: Simplify (sqrt 1) into 1
3.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.785 * [backup-simplify]: Simplify (+ 0 0) into 0
3.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.786 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.786 * [taylor]: Taking taylor expansion of re in re
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 1 into 1
3.786 * [backup-simplify]: Simplify (* 1 1) into 1
3.787 * [backup-simplify]: Simplify (/ 1 1) into 1
3.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.787 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.787 * [taylor]: Taking taylor expansion of im in re
3.787 * [backup-simplify]: Simplify im into im
3.787 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.787 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.788 * [backup-simplify]: Simplify (+ 1 0) into 1
3.788 * [backup-simplify]: Simplify (sqrt 1) into 1
3.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.790 * [backup-simplify]: Simplify (+ 0 0) into 0
3.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.791 * [taylor]: Taking taylor expansion of 1 in im
3.791 * [backup-simplify]: Simplify 1 into 1
3.791 * [taylor]: Taking taylor expansion of 0 in im
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 1 into 1
3.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.795 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.796 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.796 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.796 * [taylor]: Taking taylor expansion of 1/2 in im
3.797 * [backup-simplify]: Simplify 1/2 into 1/2
3.797 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.797 * [taylor]: Taking taylor expansion of im in im
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify 1 into 1
3.797 * [backup-simplify]: Simplify (* 1 1) into 1
3.798 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify 0 into 0
3.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.801 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.802 * [backup-simplify]: Simplify (+ 0 0) into 0
3.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.803 * [taylor]: Taking taylor expansion of 0 in im
3.803 * [backup-simplify]: Simplify 0 into 0
3.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.805 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2)
3.806 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
3.806 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
3.806 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.806 * [taylor]: Taking taylor expansion of re in im
3.806 * [backup-simplify]: Simplify re into re
3.806 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.806 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.806 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.806 * [taylor]: Taking taylor expansion of im in im
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 1 into 1
3.806 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.806 * [taylor]: Taking taylor expansion of re in im
3.806 * [backup-simplify]: Simplify re into re
3.806 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.806 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.806 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.806 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.807 * [backup-simplify]: Simplify (+ 0 0) into 0
3.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.807 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.807 * [taylor]: Taking taylor expansion of re in re
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 1 into 1
3.807 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.807 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.807 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.807 * [taylor]: Taking taylor expansion of im in re
3.807 * [backup-simplify]: Simplify im into im
3.807 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.807 * [taylor]: Taking taylor expansion of re in re
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 1 into 1
3.807 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.808 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.808 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.808 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.808 * [backup-simplify]: Simplify (+ 0 0) into 0
3.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.808 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.809 * [taylor]: Taking taylor expansion of re in re
3.809 * [backup-simplify]: Simplify 0 into 0
3.809 * [backup-simplify]: Simplify 1 into 1
3.809 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.809 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.809 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.809 * [taylor]: Taking taylor expansion of im in re
3.809 * [backup-simplify]: Simplify im into im
3.809 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.809 * [taylor]: Taking taylor expansion of re in re
3.809 * [backup-simplify]: Simplify 0 into 0
3.809 * [backup-simplify]: Simplify 1 into 1
3.809 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.809 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.809 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.809 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.810 * [backup-simplify]: Simplify (+ 0 0) into 0
3.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.810 * [backup-simplify]: Simplify (+ 0 im) into im
3.810 * [taylor]: Taking taylor expansion of im in im
3.810 * [backup-simplify]: Simplify 0 into 0
3.810 * [backup-simplify]: Simplify 1 into 1
3.810 * [backup-simplify]: Simplify 0 into 0
3.811 * [backup-simplify]: Simplify (+ 1 0) into 1
3.811 * [taylor]: Taking taylor expansion of 1 in im
3.811 * [backup-simplify]: Simplify 1 into 1
3.811 * [backup-simplify]: Simplify 1 into 1
3.811 * [backup-simplify]: Simplify 1 into 1
3.811 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.812 * [backup-simplify]: Simplify (* 1 1) into 1
3.812 * [backup-simplify]: Simplify (+ 0 1) into 1
3.813 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.813 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.813 * [taylor]: Taking taylor expansion of 1/2 in im
3.813 * [backup-simplify]: Simplify 1/2 into 1/2
3.813 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.813 * [taylor]: Taking taylor expansion of im in im
3.813 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify 1 into 1
3.813 * [backup-simplify]: Simplify (/ 1 1) into 1
3.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.817 * [backup-simplify]: Simplify (+ 0 0) into 0
3.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.818 * [backup-simplify]: Simplify (+ 0 0) into 0
3.818 * [taylor]: Taking taylor expansion of 0 in im
3.818 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.820 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
3.820 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
3.820 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.820 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.820 * [taylor]: Taking taylor expansion of re in im
3.820 * [backup-simplify]: Simplify re into re
3.820 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.820 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.820 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.820 * [taylor]: Taking taylor expansion of re in im
3.820 * [backup-simplify]: Simplify re into re
3.820 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.820 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.820 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.820 * [taylor]: Taking taylor expansion of im in im
3.820 * [backup-simplify]: Simplify 0 into 0
3.820 * [backup-simplify]: Simplify 1 into 1
3.820 * [backup-simplify]: Simplify (* 1 1) into 1
3.821 * [backup-simplify]: Simplify (/ 1 1) into 1
3.821 * [backup-simplify]: Simplify (+ 0 1) into 1
3.821 * [backup-simplify]: Simplify (sqrt 1) into 1
3.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.822 * [backup-simplify]: Simplify (+ 0 0) into 0
3.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.823 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.823 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.823 * [taylor]: Taking taylor expansion of re in re
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 1 into 1
3.823 * [backup-simplify]: Simplify (/ 1 1) into 1
3.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.823 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.823 * [taylor]: Taking taylor expansion of re in re
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 1 into 1
3.823 * [backup-simplify]: Simplify (* 1 1) into 1
3.824 * [backup-simplify]: Simplify (/ 1 1) into 1
3.824 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.824 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.824 * [taylor]: Taking taylor expansion of im in re
3.824 * [backup-simplify]: Simplify im into im
3.824 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.824 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.824 * [backup-simplify]: Simplify (+ 1 0) into 1
3.824 * [backup-simplify]: Simplify (sqrt 1) into 1
3.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.825 * [backup-simplify]: Simplify (+ 0 0) into 0
3.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.826 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.826 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.826 * [taylor]: Taking taylor expansion of re in re
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify 1 into 1
3.826 * [backup-simplify]: Simplify (/ 1 1) into 1
3.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.826 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.826 * [taylor]: Taking taylor expansion of re in re
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify 1 into 1
3.827 * [backup-simplify]: Simplify (* 1 1) into 1
3.827 * [backup-simplify]: Simplify (/ 1 1) into 1
3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.827 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.827 * [taylor]: Taking taylor expansion of im in re
3.827 * [backup-simplify]: Simplify im into im
3.827 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.827 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.827 * [backup-simplify]: Simplify (+ 1 0) into 1
3.828 * [backup-simplify]: Simplify (sqrt 1) into 1
3.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.829 * [backup-simplify]: Simplify (+ 0 0) into 0
3.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.829 * [backup-simplify]: Simplify (+ 1 1) into 2
3.829 * [taylor]: Taking taylor expansion of 2 in im
3.829 * [backup-simplify]: Simplify 2 into 2
3.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.830 * [backup-simplify]: Simplify (+ 0 0) into 0
3.830 * [taylor]: Taking taylor expansion of 0 in im
3.830 * [backup-simplify]: Simplify 0 into 0
3.830 * [backup-simplify]: Simplify 2 into 2
3.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.832 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.833 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.833 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.833 * [taylor]: Taking taylor expansion of 1/2 in im
3.833 * [backup-simplify]: Simplify 1/2 into 1/2
3.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.833 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.833 * [taylor]: Taking taylor expansion of im in im
3.833 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify 1 into 1
3.833 * [backup-simplify]: Simplify (* 1 1) into 1
3.833 * [backup-simplify]: Simplify (/ 1 1) into 1
3.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.837 * [backup-simplify]: Simplify (+ 0 0) into 0
3.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.838 * [backup-simplify]: Simplify (+ 0 0) into 0
3.838 * [taylor]: Taking taylor expansion of 0 in im
3.838 * [backup-simplify]: Simplify 0 into 0
3.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.840 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
3.840 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
3.840 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.840 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.840 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.840 * [taylor]: Taking taylor expansion of re in im
3.840 * [backup-simplify]: Simplify re into re
3.840 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.840 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.840 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.840 * [taylor]: Taking taylor expansion of im in im
3.840 * [backup-simplify]: Simplify 0 into 0
3.840 * [backup-simplify]: Simplify 1 into 1
3.840 * [backup-simplify]: Simplify (* 1 1) into 1
3.841 * [backup-simplify]: Simplify (/ 1 1) into 1
3.841 * [backup-simplify]: Simplify (+ 0 1) into 1
3.841 * [backup-simplify]: Simplify (sqrt 1) into 1
3.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.842 * [backup-simplify]: Simplify (+ 0 0) into 0
3.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.842 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.842 * [taylor]: Taking taylor expansion of re in im
3.843 * [backup-simplify]: Simplify re into re
3.843 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.843 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.843 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.843 * [taylor]: Taking taylor expansion of re in re
3.843 * [backup-simplify]: Simplify 0 into 0
3.843 * [backup-simplify]: Simplify 1 into 1
3.843 * [backup-simplify]: Simplify (* 1 1) into 1
3.843 * [backup-simplify]: Simplify (/ 1 1) into 1
3.843 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.843 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.843 * [taylor]: Taking taylor expansion of im in re
3.843 * [backup-simplify]: Simplify im into im
3.844 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.844 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.844 * [backup-simplify]: Simplify (+ 1 0) into 1
3.845 * [backup-simplify]: Simplify (sqrt 1) into 1
3.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.846 * [backup-simplify]: Simplify (+ 0 0) into 0
3.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.847 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.847 * [taylor]: Taking taylor expansion of re in re
3.847 * [backup-simplify]: Simplify 0 into 0
3.847 * [backup-simplify]: Simplify 1 into 1
3.848 * [backup-simplify]: Simplify (/ 1 1) into 1
3.848 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.848 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.848 * [taylor]: Taking taylor expansion of re in re
3.848 * [backup-simplify]: Simplify 0 into 0
3.848 * [backup-simplify]: Simplify 1 into 1
3.848 * [backup-simplify]: Simplify (* 1 1) into 1
3.849 * [backup-simplify]: Simplify (/ 1 1) into 1
3.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.849 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.849 * [taylor]: Taking taylor expansion of im in re
3.849 * [backup-simplify]: Simplify im into im
3.849 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.849 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.850 * [backup-simplify]: Simplify (+ 1 0) into 1
3.850 * [backup-simplify]: Simplify (sqrt 1) into 1
3.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.852 * [backup-simplify]: Simplify (+ 0 0) into 0
3.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.852 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.852 * [taylor]: Taking taylor expansion of re in re
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify 1 into 1
3.853 * [backup-simplify]: Simplify (/ 1 1) into 1
3.853 * [backup-simplify]: Simplify (- 1) into -1
3.854 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.854 * [taylor]: Taking taylor expansion of 0 in im
3.854 * [backup-simplify]: Simplify 0 into 0
3.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.855 * [backup-simplify]: Simplify (- 0) into 0
3.855 * [backup-simplify]: Simplify (+ 0 0) into 0
3.855 * [taylor]: Taking taylor expansion of 0 in im
3.855 * [backup-simplify]: Simplify 0 into 0
3.856 * [backup-simplify]: Simplify 0 into 0
3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.858 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.859 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.861 * [backup-simplify]: Simplify (- 0) into 0
3.861 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.861 * [taylor]: Taking taylor expansion of 1/2 in im
3.861 * [backup-simplify]: Simplify 1/2 into 1/2
3.861 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.861 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.861 * [taylor]: Taking taylor expansion of im in im
3.861 * [backup-simplify]: Simplify 0 into 0
3.861 * [backup-simplify]: Simplify 1 into 1
3.861 * [backup-simplify]: Simplify (* 1 1) into 1
3.862 * [backup-simplify]: Simplify (/ 1 1) into 1
3.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.864 * [backup-simplify]: Simplify 0 into 0
3.864 * [backup-simplify]: Simplify 0 into 0
3.864 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.866 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.869 * [backup-simplify]: Simplify (- 0) into 0
3.870 * [backup-simplify]: Simplify (+ 0 0) into 0
3.870 * [taylor]: Taking taylor expansion of 0 in im
3.870 * [backup-simplify]: Simplify 0 into 0
3.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.873 * [backup-simplify]: Simplify 0 into 0
3.873 * [backup-simplify]: Simplify 0 into 0
3.873 * [backup-simplify]: Simplify 0 into 0
3.873 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2)
3.873 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
3.873 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
3.873 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.873 * [taylor]: Taking taylor expansion of re in im
3.873 * [backup-simplify]: Simplify re into re
3.873 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.873 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.873 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.873 * [taylor]: Taking taylor expansion of im in im
3.873 * [backup-simplify]: Simplify 0 into 0
3.873 * [backup-simplify]: Simplify 1 into 1
3.873 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.873 * [taylor]: Taking taylor expansion of re in im
3.873 * [backup-simplify]: Simplify re into re
3.874 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.874 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.874 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.874 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.874 * [backup-simplify]: Simplify (+ 0 0) into 0
3.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.875 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.875 * [taylor]: Taking taylor expansion of re in re
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify 1 into 1
3.875 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.875 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.875 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.875 * [taylor]: Taking taylor expansion of im in re
3.875 * [backup-simplify]: Simplify im into im
3.875 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.875 * [taylor]: Taking taylor expansion of re in re
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify 1 into 1
3.875 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.875 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.875 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.875 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.876 * [backup-simplify]: Simplify (+ 0 0) into 0
3.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.876 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.876 * [taylor]: Taking taylor expansion of re in re
3.876 * [backup-simplify]: Simplify 0 into 0
3.876 * [backup-simplify]: Simplify 1 into 1
3.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.876 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.876 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.876 * [taylor]: Taking taylor expansion of im in re
3.876 * [backup-simplify]: Simplify im into im
3.876 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.876 * [taylor]: Taking taylor expansion of re in re
3.876 * [backup-simplify]: Simplify 0 into 0
3.876 * [backup-simplify]: Simplify 1 into 1
3.877 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.877 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.877 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.877 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.877 * [backup-simplify]: Simplify (+ 0 0) into 0
3.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.878 * [backup-simplify]: Simplify (+ 0 im) into im
3.878 * [taylor]: Taking taylor expansion of im in im
3.878 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify 1 into 1
3.878 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify (+ 1 0) into 1
3.878 * [taylor]: Taking taylor expansion of 1 in im
3.878 * [backup-simplify]: Simplify 1 into 1
3.878 * [backup-simplify]: Simplify 1 into 1
3.878 * [backup-simplify]: Simplify 1 into 1
3.879 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.879 * [backup-simplify]: Simplify (* 1 1) into 1
3.880 * [backup-simplify]: Simplify (+ 0 1) into 1
3.880 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.881 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.881 * [taylor]: Taking taylor expansion of 1/2 in im
3.881 * [backup-simplify]: Simplify 1/2 into 1/2
3.881 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.881 * [taylor]: Taking taylor expansion of im in im
3.881 * [backup-simplify]: Simplify 0 into 0
3.881 * [backup-simplify]: Simplify 1 into 1
3.881 * [backup-simplify]: Simplify (/ 1 1) into 1
3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.885 * [backup-simplify]: Simplify (+ 0 0) into 0
3.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.885 * [backup-simplify]: Simplify (+ 0 0) into 0
3.885 * [taylor]: Taking taylor expansion of 0 in im
3.885 * [backup-simplify]: Simplify 0 into 0
3.885 * [backup-simplify]: Simplify 0 into 0
3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.887 * [backup-simplify]: Simplify 0 into 0
3.887 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.888 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
3.888 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
3.888 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.888 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.888 * [taylor]: Taking taylor expansion of re in im
3.888 * [backup-simplify]: Simplify re into re
3.888 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.888 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.888 * [taylor]: Taking taylor expansion of re in im
3.888 * [backup-simplify]: Simplify re into re
3.888 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.889 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.889 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.889 * [taylor]: Taking taylor expansion of im in im
3.889 * [backup-simplify]: Simplify 0 into 0
3.889 * [backup-simplify]: Simplify 1 into 1
3.889 * [backup-simplify]: Simplify (* 1 1) into 1
3.890 * [backup-simplify]: Simplify (/ 1 1) into 1
3.890 * [backup-simplify]: Simplify (+ 0 1) into 1
3.890 * [backup-simplify]: Simplify (sqrt 1) into 1
3.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.892 * [backup-simplify]: Simplify (+ 0 0) into 0
3.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.893 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.893 * [taylor]: Taking taylor expansion of re in re
3.893 * [backup-simplify]: Simplify 0 into 0
3.893 * [backup-simplify]: Simplify 1 into 1
3.894 * [backup-simplify]: Simplify (/ 1 1) into 1
3.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.894 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.894 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.894 * [taylor]: Taking taylor expansion of re in re
3.894 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify 1 into 1
3.894 * [backup-simplify]: Simplify (* 1 1) into 1
3.894 * [backup-simplify]: Simplify (/ 1 1) into 1
3.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.895 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.895 * [taylor]: Taking taylor expansion of im in re
3.895 * [backup-simplify]: Simplify im into im
3.895 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.895 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.895 * [backup-simplify]: Simplify (+ 1 0) into 1
3.895 * [backup-simplify]: Simplify (sqrt 1) into 1
3.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.896 * [backup-simplify]: Simplify (+ 0 0) into 0
3.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.897 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.897 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.897 * [taylor]: Taking taylor expansion of re in re
3.897 * [backup-simplify]: Simplify 0 into 0
3.897 * [backup-simplify]: Simplify 1 into 1
3.897 * [backup-simplify]: Simplify (/ 1 1) into 1
3.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.897 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.897 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.897 * [taylor]: Taking taylor expansion of re in re
3.897 * [backup-simplify]: Simplify 0 into 0
3.897 * [backup-simplify]: Simplify 1 into 1
3.898 * [backup-simplify]: Simplify (* 1 1) into 1
3.898 * [backup-simplify]: Simplify (/ 1 1) into 1
3.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.898 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.898 * [taylor]: Taking taylor expansion of im in re
3.898 * [backup-simplify]: Simplify im into im
3.898 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.898 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.898 * [backup-simplify]: Simplify (+ 1 0) into 1
3.899 * [backup-simplify]: Simplify (sqrt 1) into 1
3.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.900 * [backup-simplify]: Simplify (+ 0 0) into 0
3.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.900 * [backup-simplify]: Simplify (+ 1 1) into 2
3.900 * [taylor]: Taking taylor expansion of 2 in im
3.900 * [backup-simplify]: Simplify 2 into 2
3.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.901 * [backup-simplify]: Simplify (+ 0 0) into 0
3.901 * [taylor]: Taking taylor expansion of 0 in im
3.901 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify 2 into 2
3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.903 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.904 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.904 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.904 * [taylor]: Taking taylor expansion of 1/2 in im
3.904 * [backup-simplify]: Simplify 1/2 into 1/2
3.904 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.904 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.904 * [taylor]: Taking taylor expansion of im in im
3.904 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify 1 into 1
3.904 * [backup-simplify]: Simplify (* 1 1) into 1
3.904 * [backup-simplify]: Simplify (/ 1 1) into 1
3.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.908 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.908 * [backup-simplify]: Simplify (+ 0 0) into 0
3.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.909 * [backup-simplify]: Simplify (+ 0 0) into 0
3.909 * [taylor]: Taking taylor expansion of 0 in im
3.909 * [backup-simplify]: Simplify 0 into 0
3.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.911 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
3.911 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
3.911 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.911 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.911 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.911 * [taylor]: Taking taylor expansion of re in im
3.911 * [backup-simplify]: Simplify re into re
3.911 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.911 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.911 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.911 * [taylor]: Taking taylor expansion of im in im
3.911 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify 1 into 1
3.911 * [backup-simplify]: Simplify (* 1 1) into 1
3.912 * [backup-simplify]: Simplify (/ 1 1) into 1
3.912 * [backup-simplify]: Simplify (+ 0 1) into 1
3.912 * [backup-simplify]: Simplify (sqrt 1) into 1
3.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.913 * [backup-simplify]: Simplify (+ 0 0) into 0
3.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.914 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.914 * [taylor]: Taking taylor expansion of re in im
3.914 * [backup-simplify]: Simplify re into re
3.914 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.914 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.914 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.914 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.914 * [taylor]: Taking taylor expansion of re in re
3.914 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify 1 into 1
3.914 * [backup-simplify]: Simplify (* 1 1) into 1
3.914 * [backup-simplify]: Simplify (/ 1 1) into 1
3.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.914 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.914 * [taylor]: Taking taylor expansion of im in re
3.914 * [backup-simplify]: Simplify im into im
3.915 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.915 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.915 * [backup-simplify]: Simplify (+ 1 0) into 1
3.915 * [backup-simplify]: Simplify (sqrt 1) into 1
3.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.916 * [backup-simplify]: Simplify (+ 0 0) into 0
3.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.918 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.918 * [taylor]: Taking taylor expansion of re in re
3.918 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify 1 into 1
3.919 * [backup-simplify]: Simplify (/ 1 1) into 1
3.919 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.919 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.919 * [taylor]: Taking taylor expansion of re in re
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 1 into 1
3.919 * [backup-simplify]: Simplify (* 1 1) into 1
3.919 * [backup-simplify]: Simplify (/ 1 1) into 1
3.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.919 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.919 * [taylor]: Taking taylor expansion of im in re
3.919 * [backup-simplify]: Simplify im into im
3.920 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.920 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.920 * [backup-simplify]: Simplify (+ 1 0) into 1
3.920 * [backup-simplify]: Simplify (sqrt 1) into 1
3.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.921 * [backup-simplify]: Simplify (+ 0 0) into 0
3.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.922 * [taylor]: Taking taylor expansion of re in re
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify 1 into 1
3.922 * [backup-simplify]: Simplify (/ 1 1) into 1
3.922 * [backup-simplify]: Simplify (- 1) into -1
3.923 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.923 * [taylor]: Taking taylor expansion of 0 in im
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.923 * [backup-simplify]: Simplify (- 0) into 0
3.923 * [backup-simplify]: Simplify (+ 0 0) into 0
3.923 * [taylor]: Taking taylor expansion of 0 in im
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.925 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.926 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.926 * [backup-simplify]: Simplify (- 0) into 0
3.926 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.926 * [taylor]: Taking taylor expansion of 1/2 in im
3.926 * [backup-simplify]: Simplify 1/2 into 1/2
3.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.927 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.927 * [taylor]: Taking taylor expansion of im in im
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify 1 into 1
3.927 * [backup-simplify]: Simplify (* 1 1) into 1
3.927 * [backup-simplify]: Simplify (/ 1 1) into 1
3.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.930 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.930 * [backup-simplify]: Simplify (+ 0 0) into 0
3.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.931 * [backup-simplify]: Simplify (- 0) into 0
3.931 * [backup-simplify]: Simplify (+ 0 0) into 0
3.931 * [taylor]: Taking taylor expansion of 0 in im
3.931 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * * * [progress]: simplifying candidates
3.934 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
3.935 * * [simplify]: iteration 0: 59 enodes
3.946 * * [simplify]: iteration 1: 143 enodes
4.000 * * [simplify]: iteration 2: 355 enodes
4.113 * * [simplify]: iteration 3: 832 enodes
4.542 * * [simplify]: iteration 4: 2238 enodes
5.312 * * [simplify]: iteration complete: 5001 enodes
5.312 * * [simplify]: Extracting #0: cost 32 inf + 0
5.313 * * [simplify]: Extracting #1: cost 131 inf + 87
5.315 * * [simplify]: Extracting #2: cost 400 inf + 983
5.323 * * [simplify]: Extracting #3: cost 1188 inf + 11269
5.343 * * [simplify]: Extracting #4: cost 1402 inf + 74573
5.414 * * [simplify]: Extracting #5: cost 713 inf + 278408
5.557 * * [simplify]: Extracting #6: cost 106 inf + 506826
5.694 * * [simplify]: Extracting #7: cost 48 inf + 521168
5.833 * * [simplify]: Extracting #8: cost 7 inf + 529347
5.974 * * [simplify]: Extracting #9: cost 0 inf + 531398
6.110 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (+ (sqrt (+ (* re re) (* im im))) re) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re))
  (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (+ (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))
  (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re))
  (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  (+ re im)
  (+ re re)
  0
6.122 * * * [progress]: adding candidates to table
6.605 * * [progress]: iteration 3 / 4
6.605 * * * [progress]: picking best candidate
6.626 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
6.627 * * * [progress]: localizing error
6.667 * * * [progress]: generating rewritten candidates
6.667 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1)
6.674 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
6.714 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1)
6.723 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
6.772 * * * [progress]: generating series expansions
6.772 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1)
6.773 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.773 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.773 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.773 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.773 * [taylor]: Taking taylor expansion of im in im
6.773 * [backup-simplify]: Simplify 0 into 0
6.773 * [backup-simplify]: Simplify 1 into 1
6.773 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.773 * [taylor]: Taking taylor expansion of re in im
6.773 * [backup-simplify]: Simplify re into re
6.773 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.773 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.773 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.773 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.774 * [backup-simplify]: Simplify (+ 0 0) into 0
6.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.774 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.774 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.774 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.774 * [taylor]: Taking taylor expansion of im in re
6.774 * [backup-simplify]: Simplify im into im
6.774 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.774 * [taylor]: Taking taylor expansion of re in re
6.774 * [backup-simplify]: Simplify 0 into 0
6.774 * [backup-simplify]: Simplify 1 into 1
6.774 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.774 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.774 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.774 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.775 * [backup-simplify]: Simplify (+ 0 0) into 0
6.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.775 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.775 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.775 * [taylor]: Taking taylor expansion of im in re
6.775 * [backup-simplify]: Simplify im into im
6.775 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.775 * [taylor]: Taking taylor expansion of re in re
6.775 * [backup-simplify]: Simplify 0 into 0
6.775 * [backup-simplify]: Simplify 1 into 1
6.775 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.775 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.775 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.775 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.775 * [backup-simplify]: Simplify (+ 0 0) into 0
6.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.776 * [taylor]: Taking taylor expansion of im in im
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify 1 into 1
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [taylor]: Taking taylor expansion of 0 in im
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify 1 into 1
6.776 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.776 * [backup-simplify]: Simplify (* 1 1) into 1
6.777 * [backup-simplify]: Simplify (+ 0 1) into 1
6.777 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.777 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.777 * [taylor]: Taking taylor expansion of 1/2 in im
6.777 * [backup-simplify]: Simplify 1/2 into 1/2
6.777 * [taylor]: Taking taylor expansion of im in im
6.777 * [backup-simplify]: Simplify 0 into 0
6.777 * [backup-simplify]: Simplify 1 into 1
6.777 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.779 * [backup-simplify]: Simplify (+ 0 0) into 0
6.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) 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 0 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
6.780 * [backup-simplify]: Simplify 0 into 0
6.780 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.780 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.780 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.780 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.780 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.780 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.780 * [taylor]: Taking taylor expansion of re in im
6.780 * [backup-simplify]: Simplify re into re
6.780 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.780 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.780 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.780 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.780 * [taylor]: Taking taylor expansion of im in im
6.780 * [backup-simplify]: Simplify 0 into 0
6.780 * [backup-simplify]: Simplify 1 into 1
6.781 * [backup-simplify]: Simplify (* 1 1) into 1
6.781 * [backup-simplify]: Simplify (/ 1 1) into 1
6.781 * [backup-simplify]: Simplify (+ 0 1) into 1
6.781 * [backup-simplify]: Simplify (sqrt 1) into 1
6.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.782 * [backup-simplify]: Simplify (+ 0 0) into 0
6.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.783 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.783 * [taylor]: Taking taylor expansion of re in re
6.783 * [backup-simplify]: Simplify 0 into 0
6.783 * [backup-simplify]: Simplify 1 into 1
6.783 * [backup-simplify]: Simplify (* 1 1) into 1
6.783 * [backup-simplify]: Simplify (/ 1 1) into 1
6.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.783 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.783 * [taylor]: Taking taylor expansion of im in re
6.784 * [backup-simplify]: Simplify im into im
6.784 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.784 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.784 * [backup-simplify]: Simplify (+ 1 0) into 1
6.784 * [backup-simplify]: Simplify (sqrt 1) into 1
6.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.785 * [backup-simplify]: Simplify (+ 0 0) into 0
6.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* 1 1) into 1
6.786 * [backup-simplify]: Simplify (/ 1 1) into 1
6.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
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)
6.787 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.787 * [backup-simplify]: Simplify (+ 1 0) into 1
6.787 * [backup-simplify]: Simplify (sqrt 1) into 1
6.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.789 * [backup-simplify]: Simplify (+ 0 0) into 0
6.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.790 * [taylor]: Taking taylor expansion of 1 in im
6.790 * [backup-simplify]: Simplify 1 into 1
6.790 * [taylor]: Taking taylor expansion of 0 in im
6.790 * [backup-simplify]: Simplify 0 into 0
6.790 * [backup-simplify]: Simplify 1 into 1
6.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.792 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.793 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.794 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.794 * [taylor]: Taking taylor expansion of 1/2 in im
6.794 * [backup-simplify]: Simplify 1/2 into 1/2
6.794 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.794 * [taylor]: Taking taylor expansion of im in im
6.794 * [backup-simplify]: Simplify 0 into 0
6.794 * [backup-simplify]: Simplify 1 into 1
6.794 * [backup-simplify]: Simplify (* 1 1) into 1
6.795 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 0 into 0
6.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.799 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.799 * [backup-simplify]: Simplify (+ 0 0) into 0
6.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.800 * [taylor]: Taking taylor expansion of 0 in im
6.800 * [backup-simplify]: Simplify 0 into 0
6.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.802 * [backup-simplify]: Simplify 0 into 0
6.802 * [backup-simplify]: Simplify 0 into 0
6.802 * [backup-simplify]: Simplify 0 into 0
6.803 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.803 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.803 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.803 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.803 * [taylor]: Taking taylor expansion of re in im
6.803 * [backup-simplify]: Simplify re into re
6.803 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.803 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.804 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.804 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.804 * [taylor]: Taking taylor expansion of im in im
6.804 * [backup-simplify]: Simplify 0 into 0
6.804 * [backup-simplify]: Simplify 1 into 1
6.804 * [backup-simplify]: Simplify (* 1 1) into 1
6.804 * [backup-simplify]: Simplify (/ 1 1) into 1
6.805 * [backup-simplify]: Simplify (+ 0 1) into 1
6.805 * [backup-simplify]: Simplify (sqrt 1) into 1
6.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.807 * [backup-simplify]: Simplify (+ 0 0) into 0
6.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.808 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.808 * [taylor]: Taking taylor expansion of re in re
6.808 * [backup-simplify]: Simplify 0 into 0
6.808 * [backup-simplify]: Simplify 1 into 1
6.809 * [backup-simplify]: Simplify (* 1 1) into 1
6.809 * [backup-simplify]: Simplify (/ 1 1) into 1
6.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.809 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.809 * [taylor]: Taking taylor expansion of im in re
6.809 * [backup-simplify]: Simplify im into im
6.809 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.809 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.810 * [backup-simplify]: Simplify (+ 1 0) into 1
6.810 * [backup-simplify]: Simplify (sqrt 1) into 1
6.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.812 * [backup-simplify]: Simplify (+ 0 0) into 0
6.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.813 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.813 * [taylor]: Taking taylor expansion of re in re
6.813 * [backup-simplify]: Simplify 0 into 0
6.813 * [backup-simplify]: Simplify 1 into 1
6.813 * [backup-simplify]: Simplify (* 1 1) into 1
6.814 * [backup-simplify]: Simplify (/ 1 1) into 1
6.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.814 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.814 * [taylor]: Taking taylor expansion of im in re
6.814 * [backup-simplify]: Simplify im into im
6.814 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.814 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.815 * [backup-simplify]: Simplify (+ 1 0) into 1
6.815 * [backup-simplify]: Simplify (sqrt 1) into 1
6.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.817 * [backup-simplify]: Simplify (+ 0 0) into 0
6.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.818 * [taylor]: Taking taylor expansion of 1 in im
6.818 * [backup-simplify]: Simplify 1 into 1
6.818 * [taylor]: Taking taylor expansion of 0 in im
6.818 * [backup-simplify]: Simplify 0 into 0
6.818 * [backup-simplify]: Simplify 1 into 1
6.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.820 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.822 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.822 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.822 * [taylor]: Taking taylor expansion of 1/2 in im
6.822 * [backup-simplify]: Simplify 1/2 into 1/2
6.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.822 * [taylor]: Taking taylor expansion of im in im
6.822 * [backup-simplify]: Simplify 0 into 0
6.822 * [backup-simplify]: Simplify 1 into 1
6.822 * [backup-simplify]: Simplify (* 1 1) into 1
6.823 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.824 * [backup-simplify]: Simplify 0 into 0
6.824 * [backup-simplify]: Simplify 0 into 0
6.824 * [backup-simplify]: Simplify 0 into 0
6.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.827 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.827 * [backup-simplify]: Simplify (+ 0 0) into 0
6.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.828 * [taylor]: Taking taylor expansion of 0 in im
6.828 * [backup-simplify]: Simplify 0 into 0
6.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.829 * [backup-simplify]: Simplify 0 into 0
6.829 * [backup-simplify]: Simplify 0 into 0
6.829 * [backup-simplify]: Simplify 0 into 0
6.829 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.829 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
6.830 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
6.830 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
6.830 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
6.830 * [taylor]: Taking taylor expansion of re in im
6.830 * [backup-simplify]: Simplify re into re
6.830 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.830 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.830 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.830 * [taylor]: Taking taylor expansion of im in im
6.830 * [backup-simplify]: Simplify 0 into 0
6.830 * [backup-simplify]: Simplify 1 into 1
6.830 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.830 * [taylor]: Taking taylor expansion of re in im
6.830 * [backup-simplify]: Simplify re into re
6.830 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.830 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.830 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.830 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.830 * [backup-simplify]: Simplify (+ 0 0) into 0
6.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.830 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
6.830 * [taylor]: Taking taylor expansion of re in re
6.830 * [backup-simplify]: Simplify 0 into 0
6.830 * [backup-simplify]: Simplify 1 into 1
6.830 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.830 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.831 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.831 * [taylor]: Taking taylor expansion of im in re
6.831 * [backup-simplify]: Simplify im into im
6.831 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.831 * [taylor]: Taking taylor expansion of re in re
6.831 * [backup-simplify]: Simplify 0 into 0
6.831 * [backup-simplify]: Simplify 1 into 1
6.831 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.831 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.831 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.831 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.831 * [backup-simplify]: Simplify (+ 0 0) into 0
6.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.831 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
6.831 * [taylor]: Taking taylor expansion of re in re
6.831 * [backup-simplify]: Simplify 0 into 0
6.831 * [backup-simplify]: Simplify 1 into 1
6.831 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.831 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.831 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.831 * [taylor]: Taking taylor expansion of im in re
6.831 * [backup-simplify]: Simplify im into im
6.831 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.831 * [taylor]: Taking taylor expansion of re in re
6.831 * [backup-simplify]: Simplify 0 into 0
6.832 * [backup-simplify]: Simplify 1 into 1
6.832 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.832 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.832 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.832 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.832 * [backup-simplify]: Simplify (+ 0 0) into 0
6.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.832 * [backup-simplify]: Simplify (+ 0 im) into im
6.832 * [taylor]: Taking taylor expansion of im in im
6.832 * [backup-simplify]: Simplify 0 into 0
6.832 * [backup-simplify]: Simplify 1 into 1
6.832 * [backup-simplify]: Simplify 0 into 0
6.833 * [backup-simplify]: Simplify (+ 1 0) into 1
6.833 * [taylor]: Taking taylor expansion of 1 in im
6.833 * [backup-simplify]: Simplify 1 into 1
6.833 * [backup-simplify]: Simplify 1 into 1
6.833 * [backup-simplify]: Simplify 1 into 1
6.833 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.833 * [backup-simplify]: Simplify (* 1 1) into 1
6.833 * [backup-simplify]: Simplify (+ 0 1) into 1
6.834 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.834 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.834 * [taylor]: Taking taylor expansion of 1/2 in im
6.834 * [backup-simplify]: Simplify 1/2 into 1/2
6.834 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.834 * [taylor]: Taking taylor expansion of im in im
6.834 * [backup-simplify]: Simplify 0 into 0
6.834 * [backup-simplify]: Simplify 1 into 1
6.834 * [backup-simplify]: Simplify (/ 1 1) into 1
6.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.835 * [backup-simplify]: Simplify 0 into 0
6.835 * [backup-simplify]: Simplify 0 into 0
6.835 * [backup-simplify]: Simplify 0 into 0
6.836 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.837 * [backup-simplify]: Simplify (+ 0 0) into 0
6.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.837 * [backup-simplify]: Simplify (+ 0 0) into 0
6.837 * [taylor]: Taking taylor expansion of 0 in im
6.837 * [backup-simplify]: Simplify 0 into 0
6.837 * [backup-simplify]: Simplify 0 into 0
6.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.838 * [backup-simplify]: Simplify 0 into 0
6.838 * [backup-simplify]: Simplify 0 into 0
6.838 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
6.839 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
6.839 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
6.839 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.839 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.839 * [taylor]: Taking taylor expansion of re in im
6.839 * [backup-simplify]: Simplify re into re
6.839 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.839 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.839 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.839 * [taylor]: Taking taylor expansion of re in im
6.839 * [backup-simplify]: Simplify re into re
6.839 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.839 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.839 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.839 * [taylor]: Taking taylor expansion of im in im
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify 1 into 1
6.839 * [backup-simplify]: Simplify (* 1 1) into 1
6.840 * [backup-simplify]: Simplify (/ 1 1) into 1
6.840 * [backup-simplify]: Simplify (+ 0 1) into 1
6.840 * [backup-simplify]: Simplify (sqrt 1) into 1
6.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.841 * [backup-simplify]: Simplify (+ 0 0) into 0
6.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.842 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.842 * [taylor]: Taking taylor expansion of re in re
6.842 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify 1 into 1
6.842 * [backup-simplify]: Simplify (/ 1 1) into 1
6.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.842 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.842 * [taylor]: Taking taylor expansion of re in re
6.842 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify 1 into 1
6.843 * [backup-simplify]: Simplify (* 1 1) into 1
6.843 * [backup-simplify]: Simplify (/ 1 1) into 1
6.843 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.843 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.843 * [taylor]: Taking taylor expansion of im in re
6.843 * [backup-simplify]: Simplify im into im
6.843 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.843 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.844 * [backup-simplify]: Simplify (+ 1 0) into 1
6.844 * [backup-simplify]: Simplify (sqrt 1) into 1
6.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.845 * [backup-simplify]: Simplify (+ 0 0) into 0
6.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.845 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.845 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.845 * [taylor]: Taking taylor expansion of re in re
6.845 * [backup-simplify]: Simplify 0 into 0
6.845 * [backup-simplify]: Simplify 1 into 1
6.846 * [backup-simplify]: Simplify (/ 1 1) into 1
6.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.846 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.846 * [taylor]: Taking taylor expansion of re in re
6.846 * [backup-simplify]: Simplify 0 into 0
6.846 * [backup-simplify]: Simplify 1 into 1
6.846 * [backup-simplify]: Simplify (* 1 1) into 1
6.846 * [backup-simplify]: Simplify (/ 1 1) into 1
6.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.846 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.846 * [taylor]: Taking taylor expansion of im in re
6.846 * [backup-simplify]: Simplify im into im
6.846 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.846 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.847 * [backup-simplify]: Simplify (+ 1 0) into 1
6.847 * [backup-simplify]: Simplify (sqrt 1) into 1
6.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.848 * [backup-simplify]: Simplify (+ 0 0) into 0
6.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.849 * [backup-simplify]: Simplify (+ 1 1) into 2
6.849 * [taylor]: Taking taylor expansion of 2 in im
6.849 * [backup-simplify]: Simplify 2 into 2
6.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.852 * [backup-simplify]: Simplify (+ 0 0) into 0
6.852 * [taylor]: Taking taylor expansion of 0 in im
6.852 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify 2 into 2
6.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.854 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.855 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.855 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.855 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.855 * [taylor]: Taking taylor expansion of 1/2 in im
6.855 * [backup-simplify]: Simplify 1/2 into 1/2
6.855 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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 (/ 1 1) into 1
6.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.859 * [backup-simplify]: Simplify 0 into 0
6.859 * [backup-simplify]: Simplify 0 into 0
6.859 * [backup-simplify]: Simplify 0 into 0
6.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.862 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.863 * [backup-simplify]: Simplify (+ 0 0) into 0
6.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.864 * [backup-simplify]: Simplify (+ 0 0) into 0
6.864 * [taylor]: Taking taylor expansion of 0 in im
6.864 * [backup-simplify]: Simplify 0 into 0
6.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.867 * [backup-simplify]: Simplify 0 into 0
6.867 * [backup-simplify]: Simplify 0 into 0
6.867 * [backup-simplify]: Simplify 0 into 0
6.867 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
6.868 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
6.868 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
6.868 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.868 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.868 * [taylor]: Taking taylor expansion of re in im
6.868 * [backup-simplify]: Simplify re into re
6.868 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.868 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.868 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.868 * [taylor]: Taking taylor expansion of im in im
6.868 * [backup-simplify]: Simplify 0 into 0
6.868 * [backup-simplify]: Simplify 1 into 1
6.869 * [backup-simplify]: Simplify (* 1 1) into 1
6.869 * [backup-simplify]: Simplify (/ 1 1) into 1
6.869 * [backup-simplify]: Simplify (+ 0 1) into 1
6.870 * [backup-simplify]: Simplify (sqrt 1) into 1
6.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.872 * [backup-simplify]: Simplify (+ 0 0) into 0
6.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.872 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.872 * [taylor]: Taking taylor expansion of re in im
6.872 * [backup-simplify]: Simplify re into re
6.873 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.873 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.873 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.873 * [taylor]: Taking taylor expansion of re in re
6.873 * [backup-simplify]: Simplify 0 into 0
6.873 * [backup-simplify]: Simplify 1 into 1
6.873 * [backup-simplify]: Simplify (* 1 1) into 1
6.874 * [backup-simplify]: Simplify (/ 1 1) into 1
6.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.874 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.874 * [taylor]: Taking taylor expansion of im in re
6.874 * [backup-simplify]: Simplify im into im
6.874 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.874 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.874 * [backup-simplify]: Simplify (+ 1 0) into 1
6.875 * [backup-simplify]: Simplify (sqrt 1) into 1
6.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.877 * [backup-simplify]: Simplify (+ 0 0) into 0
6.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.878 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.878 * [taylor]: Taking taylor expansion of re in re
6.878 * [backup-simplify]: Simplify 0 into 0
6.878 * [backup-simplify]: Simplify 1 into 1
6.878 * [backup-simplify]: Simplify (/ 1 1) into 1
6.878 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.878 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.878 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.878 * [taylor]: Taking taylor expansion of re in re
6.878 * [backup-simplify]: Simplify 0 into 0
6.879 * [backup-simplify]: Simplify 1 into 1
6.879 * [backup-simplify]: Simplify (* 1 1) into 1
6.879 * [backup-simplify]: Simplify (/ 1 1) into 1
6.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.879 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.879 * [taylor]: Taking taylor expansion of im in re
6.879 * [backup-simplify]: Simplify im into im
6.880 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.880 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.880 * [backup-simplify]: Simplify (+ 1 0) into 1
6.881 * [backup-simplify]: Simplify (sqrt 1) into 1
6.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.882 * [backup-simplify]: Simplify (+ 0 0) into 0
6.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.883 * [taylor]: Taking taylor expansion of re in re
6.883 * [backup-simplify]: Simplify 0 into 0
6.883 * [backup-simplify]: Simplify 1 into 1
6.884 * [backup-simplify]: Simplify (/ 1 1) into 1
6.884 * [backup-simplify]: Simplify (- 1) into -1
6.884 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.884 * [taylor]: Taking taylor expansion of 0 in im
6.884 * [backup-simplify]: Simplify 0 into 0
6.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.886 * [backup-simplify]: Simplify (- 0) into 0
6.886 * [backup-simplify]: Simplify (+ 0 0) into 0
6.886 * [taylor]: Taking taylor expansion of 0 in im
6.886 * [backup-simplify]: Simplify 0 into 0
6.886 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.888 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.889 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.891 * [backup-simplify]: Simplify (- 0) into 0
6.891 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.891 * [taylor]: Taking taylor expansion of 1/2 in im
6.891 * [backup-simplify]: Simplify 1/2 into 1/2
6.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.891 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.891 * [taylor]: Taking taylor expansion of im in im
6.891 * [backup-simplify]: Simplify 0 into 0
6.891 * [backup-simplify]: Simplify 1 into 1
6.892 * [backup-simplify]: Simplify (* 1 1) into 1
6.892 * [backup-simplify]: Simplify (/ 1 1) into 1
6.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify 0 into 0
6.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.896 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.896 * [backup-simplify]: Simplify (+ 0 0) into 0
6.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.897 * [backup-simplify]: Simplify (- 0) into 0
6.898 * [backup-simplify]: Simplify (+ 0 0) into 0
6.898 * [taylor]: Taking taylor expansion of 0 in im
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.899 * [backup-simplify]: Simplify 0 into 0
6.899 * [backup-simplify]: Simplify 0 into 0
6.899 * [backup-simplify]: Simplify 0 into 0
6.899 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1)
6.900 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
6.900 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.900 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.900 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.900 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.900 * [taylor]: Taking taylor expansion of im in im
6.900 * [backup-simplify]: Simplify 0 into 0
6.900 * [backup-simplify]: Simplify 1 into 1
6.900 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.900 * [taylor]: Taking taylor expansion of re in im
6.900 * [backup-simplify]: Simplify re into re
6.900 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.900 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.900 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.900 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.900 * [backup-simplify]: Simplify (+ 0 0) into 0
6.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.901 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.901 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.901 * [taylor]: Taking taylor expansion of im in re
6.901 * [backup-simplify]: Simplify im into im
6.901 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.901 * [taylor]: Taking taylor expansion of re in re
6.901 * [backup-simplify]: Simplify 0 into 0
6.901 * [backup-simplify]: Simplify 1 into 1
6.901 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.901 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.901 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.901 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.901 * [backup-simplify]: Simplify (+ 0 0) into 0
6.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.901 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.901 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.901 * [taylor]: Taking taylor expansion of im in re
6.901 * [backup-simplify]: Simplify im into im
6.901 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.901 * [taylor]: Taking taylor expansion of re in re
6.901 * [backup-simplify]: Simplify 0 into 0
6.901 * [backup-simplify]: Simplify 1 into 1
6.901 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.902 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.902 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.902 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.902 * [backup-simplify]: Simplify (+ 0 0) into 0
6.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.902 * [taylor]: Taking taylor expansion of im in im
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify 1 into 1
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [taylor]: Taking taylor expansion of 0 in im
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify 1 into 1
6.903 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.903 * [backup-simplify]: Simplify (* 1 1) into 1
6.903 * [backup-simplify]: Simplify (+ 0 1) into 1
6.903 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.903 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.904 * [taylor]: Taking taylor expansion of 1/2 in im
6.904 * [backup-simplify]: Simplify 1/2 into 1/2
6.904 * [taylor]: Taking taylor expansion of im in im
6.904 * [backup-simplify]: Simplify 0 into 0
6.904 * [backup-simplify]: Simplify 1 into 1
6.904 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.904 * [backup-simplify]: Simplify 0 into 0
6.904 * [backup-simplify]: Simplify 0 into 0
6.904 * [backup-simplify]: Simplify 0 into 0
6.905 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.906 * [backup-simplify]: Simplify (+ 0 0) into 0
6.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.906 * [taylor]: Taking taylor expansion of 0 in im
6.906 * [backup-simplify]: Simplify 0 into 0
6.906 * [backup-simplify]: Simplify 0 into 0
6.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.906 * [backup-simplify]: Simplify 0 into 0
6.906 * [backup-simplify]: Simplify 0 into 0
6.906 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.907 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.907 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.907 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.907 * [taylor]: Taking taylor expansion of re in im
6.907 * [backup-simplify]: Simplify re into re
6.907 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.907 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.907 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.907 * [taylor]: Taking taylor expansion of im in im
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 1 into 1
6.907 * [backup-simplify]: Simplify (* 1 1) into 1
6.907 * [backup-simplify]: Simplify (/ 1 1) into 1
6.908 * [backup-simplify]: Simplify (+ 0 1) into 1
6.908 * [backup-simplify]: Simplify (sqrt 1) into 1
6.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.909 * [backup-simplify]: Simplify (+ 0 0) into 0
6.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.909 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.909 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.909 * [taylor]: Taking taylor expansion of re in re
6.909 * [backup-simplify]: Simplify 0 into 0
6.910 * [backup-simplify]: Simplify 1 into 1
6.910 * [backup-simplify]: Simplify (* 1 1) into 1
6.910 * [backup-simplify]: Simplify (/ 1 1) into 1
6.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.910 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.910 * [taylor]: Taking taylor expansion of im in re
6.910 * [backup-simplify]: Simplify im into im
6.910 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.910 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.910 * [backup-simplify]: Simplify (+ 1 0) into 1
6.911 * [backup-simplify]: Simplify (sqrt 1) into 1
6.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.912 * [backup-simplify]: Simplify (+ 0 0) into 0
6.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.912 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.912 * [taylor]: Taking taylor expansion of re in re
6.912 * [backup-simplify]: Simplify 0 into 0
6.912 * [backup-simplify]: Simplify 1 into 1
6.913 * [backup-simplify]: Simplify (* 1 1) into 1
6.913 * [backup-simplify]: Simplify (/ 1 1) into 1
6.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.913 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.913 * [taylor]: Taking taylor expansion of im in re
6.913 * [backup-simplify]: Simplify im into im
6.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.913 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.913 * [backup-simplify]: Simplify (+ 1 0) into 1
6.914 * [backup-simplify]: Simplify (sqrt 1) into 1
6.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.915 * [backup-simplify]: Simplify (+ 0 0) into 0
6.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.915 * [taylor]: Taking taylor expansion of 1 in im
6.915 * [backup-simplify]: Simplify 1 into 1
6.915 * [taylor]: Taking taylor expansion of 0 in im
6.915 * [backup-simplify]: Simplify 0 into 0
6.915 * [backup-simplify]: Simplify 1 into 1
6.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.916 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.917 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.917 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.917 * [taylor]: Taking taylor expansion of 1/2 in im
6.917 * [backup-simplify]: Simplify 1/2 into 1/2
6.917 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.917 * [taylor]: Taking taylor expansion of im in im
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 1 into 1
6.917 * [backup-simplify]: Simplify (* 1 1) into 1
6.918 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.920 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.920 * [backup-simplify]: Simplify (+ 0 0) into 0
6.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.921 * [taylor]: Taking taylor expansion of 0 in im
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.922 * [backup-simplify]: Simplify 0 into 0
6.922 * [backup-simplify]: Simplify 0 into 0
6.922 * [backup-simplify]: Simplify 0 into 0
6.922 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.922 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.922 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.923 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.923 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.923 * [taylor]: Taking taylor expansion of re in im
6.923 * [backup-simplify]: Simplify re into re
6.923 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.923 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.923 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.923 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.923 * [taylor]: Taking taylor expansion of im in im
6.923 * [backup-simplify]: Simplify 0 into 0
6.923 * [backup-simplify]: Simplify 1 into 1
6.923 * [backup-simplify]: Simplify (* 1 1) into 1
6.923 * [backup-simplify]: Simplify (/ 1 1) into 1
6.924 * [backup-simplify]: Simplify (+ 0 1) into 1
6.924 * [backup-simplify]: Simplify (sqrt 1) into 1
6.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.925 * [backup-simplify]: Simplify (+ 0 0) into 0
6.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.926 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.926 * [taylor]: Taking taylor expansion of re in re
6.926 * [backup-simplify]: Simplify 0 into 0
6.926 * [backup-simplify]: Simplify 1 into 1
6.926 * [backup-simplify]: Simplify (* 1 1) into 1
6.926 * [backup-simplify]: Simplify (/ 1 1) into 1
6.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.926 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.926 * [taylor]: Taking taylor expansion of im in re
6.926 * [backup-simplify]: Simplify im into im
6.926 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.926 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.927 * [backup-simplify]: Simplify (+ 1 0) into 1
6.927 * [backup-simplify]: Simplify (sqrt 1) into 1
6.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.928 * [backup-simplify]: Simplify (+ 0 0) into 0
6.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.929 * [taylor]: Taking taylor expansion of re in re
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify 1 into 1
6.930 * [backup-simplify]: Simplify (* 1 1) into 1
6.930 * [backup-simplify]: Simplify (/ 1 1) into 1
6.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.930 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.930 * [taylor]: Taking taylor expansion of im in re
6.930 * [backup-simplify]: Simplify im into im
6.930 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.931 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.931 * [backup-simplify]: Simplify (+ 1 0) into 1
6.931 * [backup-simplify]: Simplify (sqrt 1) into 1
6.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.933 * [backup-simplify]: Simplify (+ 0 0) into 0
6.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.934 * [taylor]: Taking taylor expansion of 1 in im
6.934 * [backup-simplify]: Simplify 1 into 1
6.934 * [taylor]: Taking taylor expansion of 0 in im
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [backup-simplify]: Simplify 1 into 1
6.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.936 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.937 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.937 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.938 * [taylor]: Taking taylor expansion of 1/2 in im
6.938 * [backup-simplify]: Simplify 1/2 into 1/2
6.938 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.938 * [taylor]: Taking taylor expansion of im in im
6.938 * [backup-simplify]: Simplify 0 into 0
6.938 * [backup-simplify]: Simplify 1 into 1
6.938 * [backup-simplify]: Simplify (* 1 1) into 1
6.938 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.940 * [backup-simplify]: Simplify 0 into 0
6.940 * [backup-simplify]: Simplify 0 into 0
6.940 * [backup-simplify]: Simplify 0 into 0
6.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.942 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.943 * [backup-simplify]: Simplify (+ 0 0) into 0
6.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.944 * [taylor]: Taking taylor expansion of 0 in im
6.944 * [backup-simplify]: Simplify 0 into 0
6.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.946 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
6.947 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
6.947 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
6.947 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
6.947 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.947 * [taylor]: Taking taylor expansion of 2.0 in im
6.947 * [backup-simplify]: Simplify 2.0 into 2.0
6.948 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.948 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
6.948 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
6.949 * [taylor]: Taking taylor expansion of re in im
6.949 * [backup-simplify]: Simplify re into re
6.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.949 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.949 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.949 * [taylor]: Taking taylor expansion of im in im
6.949 * [backup-simplify]: Simplify 0 into 0
6.949 * [backup-simplify]: Simplify 1 into 1
6.949 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.949 * [taylor]: Taking taylor expansion of re in im
6.949 * [backup-simplify]: Simplify re into re
6.949 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.949 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.949 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.949 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.950 * [backup-simplify]: Simplify (+ 0 0) into 0
6.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.950 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
6.950 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
6.950 * [backup-simplify]: Simplify (+ 0 0) into 0
6.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.951 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
6.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.951 * [taylor]: Taking taylor expansion of 2.0 in re
6.951 * [backup-simplify]: Simplify 2.0 into 2.0
6.951 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.952 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
6.952 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
6.952 * [taylor]: Taking taylor expansion of re in re
6.952 * [backup-simplify]: Simplify 0 into 0
6.952 * [backup-simplify]: Simplify 1 into 1
6.952 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.952 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.952 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.952 * [taylor]: Taking taylor expansion of im in re
6.952 * [backup-simplify]: Simplify im into im
6.952 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.952 * [taylor]: Taking taylor expansion of re in re
6.952 * [backup-simplify]: Simplify 0 into 0
6.952 * [backup-simplify]: Simplify 1 into 1
6.952 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.952 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.953 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.953 * [backup-simplify]: Simplify (+ 0 0) into 0
6.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.953 * [backup-simplify]: Simplify (+ 0 im) into im
6.953 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.954 * [backup-simplify]: Simplify (+ 1 0) into 1
6.954 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.954 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
6.954 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.954 * [taylor]: Taking taylor expansion of 2.0 in re
6.954 * [backup-simplify]: Simplify 2.0 into 2.0
6.954 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.955 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
6.955 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
6.955 * [taylor]: Taking taylor expansion of re in re
6.955 * [backup-simplify]: Simplify 0 into 0
6.955 * [backup-simplify]: Simplify 1 into 1
6.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.955 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.956 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.956 * [taylor]: Taking taylor expansion of im in re
6.956 * [backup-simplify]: Simplify im into im
6.956 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.956 * [taylor]: Taking taylor expansion of re in re
6.956 * [backup-simplify]: Simplify 0 into 0
6.956 * [backup-simplify]: Simplify 1 into 1
6.956 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.956 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.956 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.956 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.957 * [backup-simplify]: Simplify (+ 0 0) into 0
6.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.957 * [backup-simplify]: Simplify (+ 0 im) into im
6.957 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.958 * [backup-simplify]: Simplify (+ 1 0) into 1
6.958 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.958 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
6.958 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
6.958 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.958 * [taylor]: Taking taylor expansion of 2.0 in im
6.958 * [backup-simplify]: Simplify 2.0 into 2.0
6.959 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.959 * [taylor]: Taking taylor expansion of (sqrt im) in im
6.959 * [taylor]: Taking taylor expansion of im in im
6.960 * [backup-simplify]: Simplify 0 into 0
6.960 * [backup-simplify]: Simplify 1 into 1
6.960 * [backup-simplify]: Simplify (sqrt 0) into 0
6.961 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.962 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.962 * [backup-simplify]: Simplify 0 into 0
6.963 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
6.963 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
6.963 * [taylor]: Taking taylor expansion of 1/2 in im
6.963 * [backup-simplify]: Simplify 1/2 into 1/2
6.963 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
6.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.963 * [taylor]: Taking taylor expansion of 2.0 in im
6.963 * [backup-simplify]: Simplify 2.0 into 2.0
6.963 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.964 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
6.964 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.964 * [taylor]: Taking taylor expansion of im in im
6.964 * [backup-simplify]: Simplify 0 into 0
6.964 * [backup-simplify]: Simplify 1 into 1
6.965 * [backup-simplify]: Simplify (/ 1 1) into 1
6.965 * [backup-simplify]: Simplify (sqrt 0) into 0
6.967 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.969 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.969 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.973 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.975 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.977 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.978 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.979 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.979 * [backup-simplify]: Simplify (* 1 1) into 1
6.980 * [backup-simplify]: Simplify (+ 0 1) into 1
6.985 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.985 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.986 * [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))))
6.987 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.988 * [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)))))
6.988 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
6.988 * [taylor]: Taking taylor expansion of 1/8 in im
6.988 * [backup-simplify]: Simplify 1/8 into 1/8
6.988 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
6.988 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.988 * [taylor]: Taking taylor expansion of 2.0 in im
6.989 * [backup-simplify]: Simplify 2.0 into 2.0
6.989 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.990 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
6.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
6.990 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.990 * [taylor]: Taking taylor expansion of im in im
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify 1 into 1
6.990 * [backup-simplify]: Simplify (* 1 1) into 1
6.991 * [backup-simplify]: Simplify (* 1 1) into 1
6.991 * [backup-simplify]: Simplify (/ 1 1) into 1
6.991 * [backup-simplify]: Simplify (sqrt 0) into 0
6.993 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.998 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.001 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
7.002 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.002 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.005 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
7.006 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.009 * [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)))))))
7.009 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))
7.009 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0
7.009 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
7.009 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.009 * [taylor]: Taking taylor expansion of 2.0 in im
7.009 * [backup-simplify]: Simplify 2.0 into 2.0
7.009 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
7.010 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
7.010 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.010 * [taylor]: Taking taylor expansion of re in im
7.010 * [backup-simplify]: Simplify re into re
7.010 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.010 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.010 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.010 * [taylor]: Taking taylor expansion of re in im
7.010 * [backup-simplify]: Simplify re into re
7.010 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.010 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.010 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.010 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.010 * [taylor]: Taking taylor expansion of im in im
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 1 into 1
7.010 * [backup-simplify]: Simplify (* 1 1) into 1
7.011 * [backup-simplify]: Simplify (/ 1 1) into 1
7.011 * [backup-simplify]: Simplify (+ 0 1) into 1
7.011 * [backup-simplify]: Simplify (sqrt 1) into 1
7.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.012 * [backup-simplify]: Simplify (+ 0 0) into 0
7.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.013 * [backup-simplify]: Simplify (+ 0 1) into 1
7.013 * [backup-simplify]: Simplify (sqrt 0) into 0
7.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.014 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
7.014 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.014 * [taylor]: Taking taylor expansion of 2.0 in re
7.014 * [backup-simplify]: Simplify 2.0 into 2.0
7.014 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
7.015 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
7.015 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.015 * [taylor]: Taking taylor expansion of re in re
7.015 * [backup-simplify]: Simplify 0 into 0
7.015 * [backup-simplify]: Simplify 1 into 1
7.015 * [backup-simplify]: Simplify (/ 1 1) into 1
7.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.015 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.015 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.015 * [taylor]: Taking taylor expansion of re in re
7.015 * [backup-simplify]: Simplify 0 into 0
7.015 * [backup-simplify]: Simplify 1 into 1
7.015 * [backup-simplify]: Simplify (* 1 1) into 1
7.016 * [backup-simplify]: Simplify (/ 1 1) into 1
7.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.016 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.016 * [taylor]: Taking taylor expansion of im in re
7.016 * [backup-simplify]: Simplify im into im
7.016 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.016 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.016 * [backup-simplify]: Simplify (+ 1 0) into 1
7.016 * [backup-simplify]: Simplify (sqrt 1) into 1
7.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.017 * [backup-simplify]: Simplify (+ 0 0) into 0
7.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.018 * [backup-simplify]: Simplify (+ 1 1) into 2
7.018 * [backup-simplify]: Simplify (sqrt 0) into 0
7.019 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
7.019 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
7.019 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.019 * [taylor]: Taking taylor expansion of 2.0 in re
7.019 * [backup-simplify]: Simplify 2.0 into 2.0
7.019 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
7.020 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
7.020 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.020 * [taylor]: Taking taylor expansion of re in re
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify 1 into 1
7.020 * [backup-simplify]: Simplify (/ 1 1) into 1
7.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.020 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.020 * [taylor]: Taking taylor expansion of re in re
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify 1 into 1
7.020 * [backup-simplify]: Simplify (* 1 1) into 1
7.021 * [backup-simplify]: Simplify (/ 1 1) into 1
7.021 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.021 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.021 * [taylor]: Taking taylor expansion of im in re
7.021 * [backup-simplify]: Simplify im into im
7.021 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.021 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.021 * [backup-simplify]: Simplify (+ 1 0) into 1
7.021 * [backup-simplify]: Simplify (sqrt 1) into 1
7.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.022 * [backup-simplify]: Simplify (+ 0 0) into 0
7.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.023 * [backup-simplify]: Simplify (+ 1 1) into 2
7.023 * [backup-simplify]: Simplify (sqrt 0) into 0
7.024 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
7.024 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.024 * [taylor]: Taking taylor expansion of 0 in im
7.024 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.026 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
7.026 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.026 * [taylor]: Taking taylor expansion of +nan.0 in im
7.026 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.026 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.026 * [taylor]: Taking taylor expansion of 2.0 in im
7.026 * [backup-simplify]: Simplify 2.0 into 2.0
7.026 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.027 * [backup-simplify]: Simplify 0 into 0
7.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.027 * [backup-simplify]: Simplify (+ 0 0) into 0
7.029 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.030 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.031 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
7.031 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
7.031 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.031 * [taylor]: Taking taylor expansion of +nan.0 in im
7.031 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.031 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.031 * [taylor]: Taking taylor expansion of 2.0 in im
7.031 * [backup-simplify]: Simplify 2.0 into 2.0
7.032 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.033 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.033 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.034 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.034 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.036 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.037 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.037 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
7.038 * [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))
7.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.040 * [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)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
7.040 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
7.040 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
7.040 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.040 * [taylor]: Taking taylor expansion of +nan.0 in im
7.040 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.040 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.040 * [taylor]: Taking taylor expansion of 2.0 in im
7.040 * [backup-simplify]: Simplify 2.0 into 2.0
7.040 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.041 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
7.041 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
7.041 * [taylor]: Taking taylor expansion of +nan.0 in im
7.041 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.041 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
7.041 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.041 * [taylor]: Taking taylor expansion of 2.0 in im
7.041 * [backup-simplify]: Simplify 2.0 into 2.0
7.041 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.041 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.041 * [taylor]: Taking taylor expansion of im in im
7.041 * [backup-simplify]: Simplify 0 into 0
7.042 * [backup-simplify]: Simplify 1 into 1
7.042 * [backup-simplify]: Simplify (* 1 1) into 1
7.042 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.044 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.044 * [backup-simplify]: Simplify (- 0) into 0
7.044 * [backup-simplify]: Simplify (+ 0 0) into 0
7.044 * [backup-simplify]: Simplify (- 0) into 0
7.044 * [backup-simplify]: Simplify 0 into 0
7.045 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.046 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.047 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.047 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.047 * [backup-simplify]: Simplify (- 0) into 0
7.048 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.049 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.050 * [backup-simplify]: Simplify (+ 0 0) into 0
7.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.050 * [backup-simplify]: Simplify (+ 0 0) into 0
7.051 * [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)))
7.052 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.053 * [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)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
7.053 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
7.053 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
7.053 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.053 * [taylor]: Taking taylor expansion of +nan.0 in im
7.053 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.053 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.053 * [taylor]: Taking taylor expansion of 2.0 in im
7.053 * [backup-simplify]: Simplify 2.0 into 2.0
7.054 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.054 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
7.054 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
7.054 * [taylor]: Taking taylor expansion of +nan.0 in im
7.054 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.054 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
7.054 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.054 * [taylor]: Taking taylor expansion of 2.0 in im
7.054 * [backup-simplify]: Simplify 2.0 into 2.0
7.054 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.055 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.055 * [taylor]: Taking taylor expansion of im in im
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 1 into 1
7.055 * [backup-simplify]: Simplify (* 1 1) into 1
7.056 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.057 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.057 * [backup-simplify]: Simplify (- 0) into 0
7.058 * [backup-simplify]: Simplify (+ 0 0) into 0
7.058 * [backup-simplify]: Simplify (- 0) into 0
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.061 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.061 * [backup-simplify]: Simplify (- 0) into 0
7.062 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.063 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.064 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.067 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
7.067 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
7.067 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0
7.067 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
7.067 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.067 * [taylor]: Taking taylor expansion of 2.0 in im
7.067 * [backup-simplify]: Simplify 2.0 into 2.0
7.068 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.068 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
7.068 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
7.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.068 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.068 * [taylor]: Taking taylor expansion of re in im
7.068 * [backup-simplify]: Simplify re into re
7.068 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.068 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.068 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.068 * [taylor]: Taking taylor expansion of im in im
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 1 into 1
7.069 * [backup-simplify]: Simplify (* 1 1) into 1
7.069 * [backup-simplify]: Simplify (/ 1 1) into 1
7.069 * [backup-simplify]: Simplify (+ 0 1) into 1
7.069 * [backup-simplify]: Simplify (sqrt 1) into 1
7.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.070 * [backup-simplify]: Simplify (+ 0 0) into 0
7.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.071 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.071 * [taylor]: Taking taylor expansion of re in im
7.071 * [backup-simplify]: Simplify re into re
7.071 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.071 * [backup-simplify]: Simplify (+ 1 0) into 1
7.071 * [backup-simplify]: Simplify (sqrt 0) into 0
7.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.072 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
7.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.072 * [taylor]: Taking taylor expansion of 2.0 in re
7.072 * [backup-simplify]: Simplify 2.0 into 2.0
7.073 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.073 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
7.073 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
7.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.073 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.073 * [taylor]: Taking taylor expansion of re in re
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify 1 into 1
7.073 * [backup-simplify]: Simplify (* 1 1) into 1
7.074 * [backup-simplify]: Simplify (/ 1 1) into 1
7.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.074 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.074 * [taylor]: Taking taylor expansion of im in re
7.074 * [backup-simplify]: Simplify im into im
7.074 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.074 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.074 * [backup-simplify]: Simplify (+ 1 0) into 1
7.079 * [backup-simplify]: Simplify (sqrt 1) into 1
7.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.080 * [backup-simplify]: Simplify (+ 0 0) into 0
7.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.081 * [taylor]: Taking taylor expansion of re in re
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify 1 into 1
7.081 * [backup-simplify]: Simplify (/ 1 1) into 1
7.081 * [backup-simplify]: Simplify (- 1) into -1
7.081 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.082 * [backup-simplify]: Simplify (- 0) into 0
7.082 * [backup-simplify]: Simplify (+ 0 0) into 0
7.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.083 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.084 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.085 * [backup-simplify]: Simplify (- 0) into 0
7.085 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.085 * [backup-simplify]: Simplify (sqrt 0) into 0
7.086 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
7.086 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
7.086 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.086 * [taylor]: Taking taylor expansion of 2.0 in re
7.086 * [backup-simplify]: Simplify 2.0 into 2.0
7.086 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.086 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
7.086 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
7.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.087 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.087 * [taylor]: Taking taylor expansion of re in re
7.087 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify 1 into 1
7.087 * [backup-simplify]: Simplify (* 1 1) into 1
7.087 * [backup-simplify]: Simplify (/ 1 1) into 1
7.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.087 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.087 * [taylor]: Taking taylor expansion of im in re
7.087 * [backup-simplify]: Simplify im into im
7.087 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.087 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.088 * [backup-simplify]: Simplify (+ 1 0) into 1
7.088 * [backup-simplify]: Simplify (sqrt 1) into 1
7.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.089 * [backup-simplify]: Simplify (+ 0 0) into 0
7.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.089 * [taylor]: Taking taylor expansion of re in re
7.089 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify 1 into 1
7.089 * [backup-simplify]: Simplify (/ 1 1) into 1
7.090 * [backup-simplify]: Simplify (- 1) into -1
7.090 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.091 * [backup-simplify]: Simplify (- 0) into 0
7.091 * [backup-simplify]: Simplify (+ 0 0) into 0
7.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.092 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.093 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.094 * [backup-simplify]: Simplify (- 0) into 0
7.094 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.094 * [backup-simplify]: Simplify (sqrt 0) into 0
7.094 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
7.095 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.095 * [taylor]: Taking taylor expansion of 0 in im
7.095 * [backup-simplify]: Simplify 0 into 0
7.095 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
7.095 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
7.095 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
7.095 * [taylor]: Taking taylor expansion of +nan.0 in im
7.095 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.095 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
7.095 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.095 * [taylor]: Taking taylor expansion of 2.0 in im
7.096 * [backup-simplify]: Simplify 2.0 into 2.0
7.096 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.096 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.096 * [taylor]: Taking taylor expansion of im in im
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify 1 into 1
7.096 * [backup-simplify]: Simplify (* 1 1) into 1
7.097 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.098 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.099 * [backup-simplify]: Simplify (- 0) into 0
7.099 * [backup-simplify]: Simplify 0 into 0
7.099 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.101 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.101 * [backup-simplify]: Simplify (+ 0 0) into 0
7.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.103 * [backup-simplify]: Simplify (- 0) into 0
7.103 * [backup-simplify]: Simplify (+ 0 0) into 0
7.105 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
7.106 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.107 * [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))))
7.107 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
7.107 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
7.107 * [taylor]: Taking taylor expansion of +nan.0 in im
7.107 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.107 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
7.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.107 * [taylor]: Taking taylor expansion of 2.0 in im
7.107 * [backup-simplify]: Simplify 2.0 into 2.0
7.107 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.108 * [taylor]: Taking taylor expansion of (pow im 4) in im
7.108 * [taylor]: Taking taylor expansion of im in im
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [backup-simplify]: Simplify 1 into 1
7.109 * [backup-simplify]: Simplify (* 1 1) into 1
7.109 * [backup-simplify]: Simplify (* 1 1) into 1
7.110 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.111 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.121 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
7.122 * [backup-simplify]: Simplify (- 0) into 0
7.122 * [backup-simplify]: Simplify 0 into 0
7.123 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.126 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.126 * [backup-simplify]: Simplify (- 0) into 0
7.126 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify 0 into 0
7.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.129 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
7.130 * [backup-simplify]: Simplify (+ 0 0) into 0
7.131 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
7.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.132 * [backup-simplify]: Simplify (- 0) into 0
7.132 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
7.133 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
7.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.136 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 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))))))
7.136 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
7.136 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
7.136 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
7.136 * [taylor]: Taking taylor expansion of +nan.0 in im
7.136 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.136 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
7.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.137 * [taylor]: Taking taylor expansion of 2.0 in im
7.137 * [backup-simplify]: Simplify 2.0 into 2.0
7.137 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.138 * [taylor]: Taking taylor expansion of (pow im 4) in im
7.138 * [taylor]: Taking taylor expansion of im in im
7.138 * [backup-simplify]: Simplify 0 into 0
7.138 * [backup-simplify]: Simplify 1 into 1
7.138 * [backup-simplify]: Simplify (* 1 1) into 1
7.139 * [backup-simplify]: Simplify (* 1 1) into 1
7.140 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.140 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
7.140 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
7.140 * [taylor]: Taking taylor expansion of +nan.0 in im
7.140 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.140 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
7.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.140 * [taylor]: Taking taylor expansion of 2.0 in im
7.140 * [backup-simplify]: Simplify 2.0 into 2.0
7.140 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.141 * [taylor]: Taking taylor expansion of (pow im 6) in im
7.141 * [taylor]: Taking taylor expansion of im in im
7.141 * [backup-simplify]: Simplify 0 into 0
7.141 * [backup-simplify]: Simplify 1 into 1
7.141 * [backup-simplify]: Simplify (* 1 1) into 1
7.142 * [backup-simplify]: Simplify (* 1 1) into 1
7.142 * [backup-simplify]: Simplify (* 1 1) into 1
7.143 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.144 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.153 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
7.154 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.155 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.169 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
7.169 * [backup-simplify]: Simplify (- 0) into 0
7.169 * [backup-simplify]: Simplify (+ 0 0) into 0
7.169 * [backup-simplify]: Simplify (- 0) into 0
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify 0 into 0
7.170 * * * [progress]: simplifying candidates
7.170 * [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 (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (exp (log (sqrt (+ (* re re) (* im im))))) re)
  (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (exp (log (sqrt (cbrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (exp (log (sqrt (- (* re re) (* im im)))))
  (log (exp (log (sqrt (+ (* re re) (* im im))))))
  (exp (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))
  (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (log (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (exp (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))
  (cbrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (* (* (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt 2.0)
  (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (* 2.0 (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))))
  (sqrt (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (* 2.0 (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re))))
  (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
  (- (+ (* +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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
7.172 * * [simplify]: iteration 0: 138 enodes
7.203 * * [simplify]: iteration 1: 293 enodes
7.313 * * [simplify]: iteration 2: 746 enodes
7.656 * * [simplify]: iteration 3: 2210 enodes
8.672 * * [simplify]: iteration complete: 5001 enodes
8.672 * * [simplify]: Extracting #0: cost 49 inf + 0
8.673 * * [simplify]: Extracting #1: cost 269 inf + 88
8.678 * * [simplify]: Extracting #2: cost 905 inf + 1294
8.687 * * [simplify]: Extracting #3: cost 1227 inf + 32559
8.725 * * [simplify]: Extracting #4: cost 611 inf + 168790
8.825 * * [simplify]: Extracting #5: cost 134 inf + 279188
8.889 * * [simplify]: Extracting #6: cost 29 inf + 309008
8.974 * * [simplify]: Extracting #7: cost 24 inf + 311735
9.088 * * [simplify]: Extracting #8: cost 4 inf + 315085
9.204 * * [simplify]: Extracting #9: cost 0 inf + 316257
9.293 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)) (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (+ (+ (* im im) (* re re)) (- (* re re) (* (sqrt (+ (* im im) (* re re))) re)))
  (* im im)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (sqrt E)
  E
  (sqrt E)
  (exp (* (cbrt (log (sqrt (+ (* im im) (* re re))))) (cbrt (log (sqrt (+ (* im im) (* re re)))))))
  (exp (sqrt (log (sqrt (+ (* im im) (* re re))))))
  E
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)) 2.0))
  (sqrt (+ (+ (* im im) (* re re)) (- (* re re) (* (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (* 2.0 (* im im)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  im
  re
  (- re)
  (* (* (sqrt 2.0) +nan.0) (+ (* re (- re)) (- im re)))
  (* +nan.0 (+ (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))) (- (sqrt 2.0))))
  0
9.305 * * * [progress]: adding candidates to table
9.766 * * [progress]: iteration 4 / 4
9.766 * * * [progress]: picking best candidate
9.820 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
9.820 * * * [progress]: localizing error
9.896 * * * [progress]: generating rewritten candidates
9.897 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
9.909 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 2 1)
9.922 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1)
9.934 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
10.235 * * * [progress]: generating series expansions
10.235 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
10.235 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.235 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.236 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.236 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.236 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.236 * [taylor]: Taking taylor expansion of im in im
10.236 * [backup-simplify]: Simplify 0 into 0
10.236 * [backup-simplify]: Simplify 1 into 1
10.236 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.236 * [taylor]: Taking taylor expansion of re in im
10.236 * [backup-simplify]: Simplify re into re
10.236 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.236 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.236 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.236 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.237 * [backup-simplify]: Simplify (+ 0 0) into 0
10.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.237 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.237 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.237 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.237 * [taylor]: Taking taylor expansion of im in re
10.237 * [backup-simplify]: Simplify im into im
10.237 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.237 * [taylor]: Taking taylor expansion of re in re
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 1 into 1
10.237 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.237 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.237 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.237 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.238 * [backup-simplify]: Simplify (+ 0 0) into 0
10.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.238 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.238 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.238 * [taylor]: Taking taylor expansion of im in re
10.238 * [backup-simplify]: Simplify im into im
10.238 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.238 * [taylor]: Taking taylor expansion of re in re
10.238 * [backup-simplify]: Simplify 0 into 0
10.238 * [backup-simplify]: Simplify 1 into 1
10.238 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.238 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.238 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.238 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.239 * [backup-simplify]: Simplify (+ 0 0) into 0
10.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.239 * [taylor]: Taking taylor expansion of im in im
10.239 * [backup-simplify]: Simplify 0 into 0
10.239 * [backup-simplify]: Simplify 1 into 1
10.239 * [backup-simplify]: Simplify 0 into 0
10.239 * [taylor]: Taking taylor expansion of 0 in im
10.239 * [backup-simplify]: Simplify 0 into 0
10.239 * [backup-simplify]: Simplify 0 into 0
10.239 * [backup-simplify]: Simplify 1 into 1
10.239 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.240 * [backup-simplify]: Simplify (* 1 1) into 1
10.240 * [backup-simplify]: Simplify (+ 0 1) into 1
10.240 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.240 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.240 * [taylor]: Taking taylor expansion of 1/2 in im
10.240 * [backup-simplify]: Simplify 1/2 into 1/2
10.240 * [taylor]: Taking taylor expansion of im in im
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify 1 into 1
10.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.241 * [backup-simplify]: Simplify 0 into 0
10.241 * [backup-simplify]: Simplify 0 into 0
10.241 * [backup-simplify]: Simplify 0 into 0
10.242 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.242 * [backup-simplify]: Simplify (+ 0 0) into 0
10.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.243 * [taylor]: Taking taylor expansion of 0 in im
10.243 * [backup-simplify]: Simplify 0 into 0
10.243 * [backup-simplify]: Simplify 0 into 0
10.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.243 * [backup-simplify]: Simplify 0 into 0
10.243 * [backup-simplify]: Simplify 0 into 0
10.243 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.243 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.243 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.244 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.244 * [taylor]: Taking taylor expansion of re in im
10.244 * [backup-simplify]: Simplify re into re
10.244 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.244 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.244 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.244 * [taylor]: Taking taylor expansion of im in im
10.244 * [backup-simplify]: Simplify 0 into 0
10.244 * [backup-simplify]: Simplify 1 into 1
10.244 * [backup-simplify]: Simplify (* 1 1) into 1
10.244 * [backup-simplify]: Simplify (/ 1 1) into 1
10.245 * [backup-simplify]: Simplify (+ 0 1) into 1
10.245 * [backup-simplify]: Simplify (sqrt 1) into 1
10.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.246 * [backup-simplify]: Simplify (+ 0 0) into 0
10.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.247 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.247 * [taylor]: Taking taylor expansion of re in re
10.247 * [backup-simplify]: Simplify 0 into 0
10.247 * [backup-simplify]: Simplify 1 into 1
10.247 * [backup-simplify]: Simplify (* 1 1) into 1
10.247 * [backup-simplify]: Simplify (/ 1 1) into 1
10.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.247 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.247 * [taylor]: Taking taylor expansion of im in re
10.247 * [backup-simplify]: Simplify im into im
10.247 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.247 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.248 * [backup-simplify]: Simplify (+ 1 0) into 1
10.248 * [backup-simplify]: Simplify (sqrt 1) into 1
10.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.249 * [backup-simplify]: Simplify (+ 0 0) into 0
10.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.250 * [taylor]: Taking taylor expansion of re in re
10.250 * [backup-simplify]: Simplify 0 into 0
10.250 * [backup-simplify]: Simplify 1 into 1
10.250 * [backup-simplify]: Simplify (* 1 1) into 1
10.250 * [backup-simplify]: Simplify (/ 1 1) into 1
10.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.250 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.250 * [taylor]: Taking taylor expansion of im in re
10.250 * [backup-simplify]: Simplify im into im
10.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.250 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.251 * [backup-simplify]: Simplify (+ 1 0) into 1
10.251 * [backup-simplify]: Simplify (sqrt 1) into 1
10.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.252 * [backup-simplify]: Simplify (+ 0 0) into 0
10.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.252 * [taylor]: Taking taylor expansion of 1 in im
10.252 * [backup-simplify]: Simplify 1 into 1
10.252 * [taylor]: Taking taylor expansion of 0 in im
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [backup-simplify]: Simplify 1 into 1
10.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.254 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.255 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.255 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.255 * [taylor]: Taking taylor expansion of 1/2 in im
10.255 * [backup-simplify]: Simplify 1/2 into 1/2
10.255 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.255 * [taylor]: Taking taylor expansion of im in im
10.255 * [backup-simplify]: Simplify 0 into 0
10.255 * [backup-simplify]: Simplify 1 into 1
10.255 * [backup-simplify]: Simplify (* 1 1) into 1
10.255 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.256 * [backup-simplify]: Simplify 0 into 0
10.256 * [backup-simplify]: Simplify 0 into 0
10.256 * [backup-simplify]: Simplify 0 into 0
10.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.257 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.258 * [backup-simplify]: Simplify (+ 0 0) into 0
10.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.258 * [taylor]: Taking taylor expansion of 0 in im
10.258 * [backup-simplify]: Simplify 0 into 0
10.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.259 * [backup-simplify]: Simplify 0 into 0
10.259 * [backup-simplify]: Simplify 0 into 0
10.259 * [backup-simplify]: Simplify 0 into 0
10.260 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.260 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.260 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.260 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.260 * [taylor]: Taking taylor expansion of re in im
10.260 * [backup-simplify]: Simplify re into re
10.260 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.260 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.260 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.260 * [taylor]: Taking taylor expansion of im in im
10.260 * [backup-simplify]: Simplify 0 into 0
10.260 * [backup-simplify]: Simplify 1 into 1
10.260 * [backup-simplify]: Simplify (* 1 1) into 1
10.261 * [backup-simplify]: Simplify (/ 1 1) into 1
10.261 * [backup-simplify]: Simplify (+ 0 1) into 1
10.261 * [backup-simplify]: Simplify (sqrt 1) into 1
10.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.262 * [backup-simplify]: Simplify (+ 0 0) into 0
10.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.263 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.263 * [taylor]: Taking taylor expansion of re in re
10.263 * [backup-simplify]: Simplify 0 into 0
10.263 * [backup-simplify]: Simplify 1 into 1
10.263 * [backup-simplify]: Simplify (* 1 1) into 1
10.263 * [backup-simplify]: Simplify (/ 1 1) into 1
10.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.264 * [taylor]: Taking taylor expansion of im in re
10.264 * [backup-simplify]: Simplify im into im
10.264 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.264 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.264 * [backup-simplify]: Simplify (+ 1 0) into 1
10.265 * [backup-simplify]: Simplify (sqrt 1) into 1
10.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.267 * [backup-simplify]: Simplify (+ 0 0) into 0
10.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.267 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.267 * [taylor]: Taking taylor expansion of re in re
10.267 * [backup-simplify]: Simplify 0 into 0
10.268 * [backup-simplify]: Simplify 1 into 1
10.268 * [backup-simplify]: Simplify (* 1 1) into 1
10.268 * [backup-simplify]: Simplify (/ 1 1) into 1
10.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.268 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.268 * [taylor]: Taking taylor expansion of im in re
10.268 * [backup-simplify]: Simplify im into im
10.269 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.269 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.269 * [backup-simplify]: Simplify (+ 1 0) into 1
10.270 * [backup-simplify]: Simplify (sqrt 1) into 1
10.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.271 * [backup-simplify]: Simplify (+ 0 0) into 0
10.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.272 * [taylor]: Taking taylor expansion of 1 in im
10.272 * [backup-simplify]: Simplify 1 into 1
10.272 * [taylor]: Taking taylor expansion of 0 in im
10.272 * [backup-simplify]: Simplify 0 into 0
10.272 * [backup-simplify]: Simplify 1 into 1
10.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.275 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.276 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.276 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.276 * [taylor]: Taking taylor expansion of 1/2 in im
10.276 * [backup-simplify]: Simplify 1/2 into 1/2
10.276 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.277 * [taylor]: Taking taylor expansion of im in im
10.277 * [backup-simplify]: Simplify 0 into 0
10.277 * [backup-simplify]: Simplify 1 into 1
10.277 * [backup-simplify]: Simplify (* 1 1) into 1
10.277 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.279 * [backup-simplify]: Simplify 0 into 0
10.279 * [backup-simplify]: Simplify 0 into 0
10.279 * [backup-simplify]: Simplify 0 into 0
10.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.281 * [backup-simplify]: Simplify (+ 0 0) into 0
10.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.281 * [taylor]: Taking taylor expansion of 0 in im
10.281 * [backup-simplify]: Simplify 0 into 0
10.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.282 * [backup-simplify]: Simplify 0 into 0
10.282 * [backup-simplify]: Simplify 0 into 0
10.282 * [backup-simplify]: Simplify 0 into 0
10.282 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.283 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 2 1)
10.283 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.283 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.283 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.283 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.283 * [taylor]: Taking taylor expansion of im in im
10.283 * [backup-simplify]: Simplify 0 into 0
10.283 * [backup-simplify]: Simplify 1 into 1
10.283 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.283 * [taylor]: Taking taylor expansion of re in im
10.283 * [backup-simplify]: Simplify re into re
10.283 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.283 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.283 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.283 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.283 * [backup-simplify]: Simplify (+ 0 0) into 0
10.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.284 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.284 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.284 * [taylor]: Taking taylor expansion of im in re
10.284 * [backup-simplify]: Simplify im into im
10.284 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.284 * [taylor]: Taking taylor expansion of re in re
10.284 * [backup-simplify]: Simplify 0 into 0
10.284 * [backup-simplify]: Simplify 1 into 1
10.284 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.284 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.284 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.284 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.284 * [backup-simplify]: Simplify (+ 0 0) into 0
10.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.284 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.284 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.284 * [taylor]: Taking taylor expansion of im in re
10.284 * [backup-simplify]: Simplify im into im
10.284 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.285 * [taylor]: Taking taylor expansion of re in re
10.285 * [backup-simplify]: Simplify 0 into 0
10.285 * [backup-simplify]: Simplify 1 into 1
10.285 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.285 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.285 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.285 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.285 * [backup-simplify]: Simplify (+ 0 0) into 0
10.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.285 * [taylor]: Taking taylor expansion of im in im
10.285 * [backup-simplify]: Simplify 0 into 0
10.285 * [backup-simplify]: Simplify 1 into 1
10.285 * [backup-simplify]: Simplify 0 into 0
10.285 * [taylor]: Taking taylor expansion of 0 in im
10.285 * [backup-simplify]: Simplify 0 into 0
10.285 * [backup-simplify]: Simplify 0 into 0
10.285 * [backup-simplify]: Simplify 1 into 1
10.286 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.286 * [backup-simplify]: Simplify (* 1 1) into 1
10.286 * [backup-simplify]: Simplify (+ 0 1) into 1
10.287 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.287 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.287 * [taylor]: Taking taylor expansion of 1/2 in im
10.287 * [backup-simplify]: Simplify 1/2 into 1/2
10.287 * [taylor]: Taking taylor expansion of im in im
10.287 * [backup-simplify]: Simplify 0 into 0
10.287 * [backup-simplify]: Simplify 1 into 1
10.287 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.288 * [backup-simplify]: Simplify 0 into 0
10.288 * [backup-simplify]: Simplify 0 into 0
10.288 * [backup-simplify]: Simplify 0 into 0
10.288 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.289 * [backup-simplify]: Simplify (+ 0 0) into 0
10.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.289 * [taylor]: Taking taylor expansion of 0 in im
10.289 * [backup-simplify]: Simplify 0 into 0
10.289 * [backup-simplify]: Simplify 0 into 0
10.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.290 * [backup-simplify]: Simplify 0 into 0
10.290 * [backup-simplify]: Simplify 0 into 0
10.290 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.290 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.290 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.290 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.290 * [taylor]: Taking taylor expansion of re in im
10.290 * [backup-simplify]: Simplify re into re
10.290 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.290 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.290 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.290 * [taylor]: Taking taylor expansion of im in im
10.290 * [backup-simplify]: Simplify 0 into 0
10.290 * [backup-simplify]: Simplify 1 into 1
10.291 * [backup-simplify]: Simplify (* 1 1) into 1
10.291 * [backup-simplify]: Simplify (/ 1 1) into 1
10.291 * [backup-simplify]: Simplify (+ 0 1) into 1
10.292 * [backup-simplify]: Simplify (sqrt 1) into 1
10.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.293 * [backup-simplify]: Simplify (+ 0 0) into 0
10.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.293 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.293 * [taylor]: Taking taylor expansion of re in re
10.293 * [backup-simplify]: Simplify 0 into 0
10.293 * [backup-simplify]: Simplify 1 into 1
10.294 * [backup-simplify]: Simplify (* 1 1) into 1
10.294 * [backup-simplify]: Simplify (/ 1 1) into 1
10.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.294 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.294 * [taylor]: Taking taylor expansion of im in re
10.294 * [backup-simplify]: Simplify im into im
10.294 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.294 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.294 * [backup-simplify]: Simplify (+ 1 0) into 1
10.295 * [backup-simplify]: Simplify (sqrt 1) into 1
10.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.296 * [backup-simplify]: Simplify (+ 0 0) into 0
10.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.296 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.296 * [taylor]: Taking taylor expansion of re in re
10.296 * [backup-simplify]: Simplify 0 into 0
10.296 * [backup-simplify]: Simplify 1 into 1
10.297 * [backup-simplify]: Simplify (* 1 1) into 1
10.297 * [backup-simplify]: Simplify (/ 1 1) into 1
10.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.297 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.297 * [taylor]: Taking taylor expansion of im in re
10.297 * [backup-simplify]: Simplify im into im
10.297 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.297 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.297 * [backup-simplify]: Simplify (+ 1 0) into 1
10.298 * [backup-simplify]: Simplify (sqrt 1) into 1
10.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.299 * [backup-simplify]: Simplify (+ 0 0) into 0
10.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.299 * [taylor]: Taking taylor expansion of 1 in im
10.299 * [backup-simplify]: Simplify 1 into 1
10.299 * [taylor]: Taking taylor expansion of 0 in im
10.299 * [backup-simplify]: Simplify 0 into 0
10.299 * [backup-simplify]: Simplify 1 into 1
10.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.300 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.301 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.301 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.301 * [taylor]: Taking taylor expansion of 1/2 in im
10.301 * [backup-simplify]: Simplify 1/2 into 1/2
10.301 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.301 * [taylor]: Taking taylor expansion of im in im
10.301 * [backup-simplify]: Simplify 0 into 0
10.301 * [backup-simplify]: Simplify 1 into 1
10.302 * [backup-simplify]: Simplify (* 1 1) into 1
10.302 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.303 * [backup-simplify]: Simplify 0 into 0
10.303 * [backup-simplify]: Simplify 0 into 0
10.303 * [backup-simplify]: Simplify 0 into 0
10.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.304 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.304 * [backup-simplify]: Simplify (+ 0 0) into 0
10.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.305 * [taylor]: Taking taylor expansion of 0 in im
10.305 * [backup-simplify]: Simplify 0 into 0
10.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.306 * [backup-simplify]: Simplify 0 into 0
10.306 * [backup-simplify]: Simplify 0 into 0
10.306 * [backup-simplify]: Simplify 0 into 0
10.306 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.306 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.306 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.306 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.306 * [taylor]: Taking taylor expansion of re in im
10.307 * [backup-simplify]: Simplify re into re
10.307 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.307 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.307 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.307 * [taylor]: Taking taylor expansion of im in im
10.307 * [backup-simplify]: Simplify 0 into 0
10.307 * [backup-simplify]: Simplify 1 into 1
10.307 * [backup-simplify]: Simplify (* 1 1) into 1
10.307 * [backup-simplify]: Simplify (/ 1 1) into 1
10.308 * [backup-simplify]: Simplify (+ 0 1) into 1
10.308 * [backup-simplify]: Simplify (sqrt 1) into 1
10.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.310 * [backup-simplify]: Simplify (+ 0 0) into 0
10.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.311 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.311 * [taylor]: Taking taylor expansion of re in re
10.311 * [backup-simplify]: Simplify 0 into 0
10.311 * [backup-simplify]: Simplify 1 into 1
10.311 * [backup-simplify]: Simplify (* 1 1) into 1
10.312 * [backup-simplify]: Simplify (/ 1 1) into 1
10.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.312 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.312 * [taylor]: Taking taylor expansion of im in re
10.312 * [backup-simplify]: Simplify im into im
10.312 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.312 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.313 * [backup-simplify]: Simplify (+ 1 0) into 1
10.313 * [backup-simplify]: Simplify (sqrt 1) into 1
10.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.315 * [backup-simplify]: Simplify (+ 0 0) into 0
10.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.316 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.316 * [taylor]: Taking taylor expansion of re in re
10.316 * [backup-simplify]: Simplify 0 into 0
10.316 * [backup-simplify]: Simplify 1 into 1
10.316 * [backup-simplify]: Simplify (* 1 1) into 1
10.316 * [backup-simplify]: Simplify (/ 1 1) into 1
10.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.316 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.316 * [taylor]: Taking taylor expansion of im in re
10.316 * [backup-simplify]: Simplify im into im
10.316 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.316 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.317 * [backup-simplify]: Simplify (+ 1 0) into 1
10.317 * [backup-simplify]: Simplify (sqrt 1) into 1
10.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.318 * [backup-simplify]: Simplify (+ 0 0) into 0
10.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.318 * [taylor]: Taking taylor expansion of 1 in im
10.318 * [backup-simplify]: Simplify 1 into 1
10.318 * [taylor]: Taking taylor expansion of 0 in im
10.318 * [backup-simplify]: Simplify 0 into 0
10.318 * [backup-simplify]: Simplify 1 into 1
10.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.320 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.320 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.320 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.320 * [taylor]: Taking taylor expansion of 1/2 in im
10.320 * [backup-simplify]: Simplify 1/2 into 1/2
10.321 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.321 * [taylor]: Taking taylor expansion of im in im
10.321 * [backup-simplify]: Simplify 0 into 0
10.321 * [backup-simplify]: Simplify 1 into 1
10.321 * [backup-simplify]: Simplify (* 1 1) into 1
10.321 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.322 * [backup-simplify]: Simplify 0 into 0
10.322 * [backup-simplify]: Simplify 0 into 0
10.322 * [backup-simplify]: Simplify 0 into 0
10.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.324 * [backup-simplify]: Simplify (+ 0 0) into 0
10.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.324 * [taylor]: Taking taylor expansion of 0 in im
10.324 * [backup-simplify]: Simplify 0 into 0
10.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.325 * [backup-simplify]: Simplify 0 into 0
10.325 * [backup-simplify]: Simplify 0 into 0
10.325 * [backup-simplify]: Simplify 0 into 0
10.326 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.326 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1)
10.326 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.326 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.326 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.326 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.326 * [taylor]: Taking taylor expansion of im in im
10.326 * [backup-simplify]: Simplify 0 into 0
10.326 * [backup-simplify]: Simplify 1 into 1
10.326 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.326 * [taylor]: Taking taylor expansion of re in im
10.326 * [backup-simplify]: Simplify re into re
10.326 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.326 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.326 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.326 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.326 * [backup-simplify]: Simplify (+ 0 0) into 0
10.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.327 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.327 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.327 * [taylor]: Taking taylor expansion of im in re
10.327 * [backup-simplify]: Simplify im into im
10.327 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.327 * [taylor]: Taking taylor expansion of re in re
10.327 * [backup-simplify]: Simplify 0 into 0
10.327 * [backup-simplify]: Simplify 1 into 1
10.327 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.327 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.327 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.327 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.327 * [backup-simplify]: Simplify (+ 0 0) into 0
10.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.327 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.327 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.327 * [taylor]: Taking taylor expansion of im in re
10.327 * [backup-simplify]: Simplify im into im
10.328 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.328 * [taylor]: Taking taylor expansion of re in re
10.328 * [backup-simplify]: Simplify 0 into 0
10.328 * [backup-simplify]: Simplify 1 into 1
10.328 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.328 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.328 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.328 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.328 * [backup-simplify]: Simplify (+ 0 0) into 0
10.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.328 * [taylor]: Taking taylor expansion of im in im
10.328 * [backup-simplify]: Simplify 0 into 0
10.328 * [backup-simplify]: Simplify 1 into 1
10.328 * [backup-simplify]: Simplify 0 into 0
10.328 * [taylor]: Taking taylor expansion of 0 in im
10.328 * [backup-simplify]: Simplify 0 into 0
10.328 * [backup-simplify]: Simplify 0 into 0
10.328 * [backup-simplify]: Simplify 1 into 1
10.329 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.329 * [backup-simplify]: Simplify (* 1 1) into 1
10.329 * [backup-simplify]: Simplify (+ 0 1) into 1
10.330 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.330 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.330 * [taylor]: Taking taylor expansion of 1/2 in im
10.330 * [backup-simplify]: Simplify 1/2 into 1/2
10.330 * [taylor]: Taking taylor expansion of im in im
10.330 * [backup-simplify]: Simplify 0 into 0
10.330 * [backup-simplify]: Simplify 1 into 1
10.330 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.331 * [backup-simplify]: Simplify 0 into 0
10.331 * [backup-simplify]: Simplify 0 into 0
10.331 * [backup-simplify]: Simplify 0 into 0
10.331 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.332 * [backup-simplify]: Simplify (+ 0 0) into 0
10.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.332 * [taylor]: Taking taylor expansion of 0 in im
10.332 * [backup-simplify]: Simplify 0 into 0
10.332 * [backup-simplify]: Simplify 0 into 0
10.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.333 * [backup-simplify]: Simplify 0 into 0
10.333 * [backup-simplify]: Simplify 0 into 0
10.333 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.333 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.333 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.333 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.333 * [taylor]: Taking taylor expansion of re in im
10.333 * [backup-simplify]: Simplify re into re
10.333 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.333 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.333 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.333 * [taylor]: Taking taylor expansion of im in im
10.333 * [backup-simplify]: Simplify 0 into 0
10.333 * [backup-simplify]: Simplify 1 into 1
10.334 * [backup-simplify]: Simplify (* 1 1) into 1
10.334 * [backup-simplify]: Simplify (/ 1 1) into 1
10.334 * [backup-simplify]: Simplify (+ 0 1) into 1
10.334 * [backup-simplify]: Simplify (sqrt 1) into 1
10.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.335 * [backup-simplify]: Simplify (+ 0 0) into 0
10.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.336 * [taylor]: Taking taylor expansion of re in re
10.336 * [backup-simplify]: Simplify 0 into 0
10.336 * [backup-simplify]: Simplify 1 into 1
10.336 * [backup-simplify]: Simplify (* 1 1) into 1
10.337 * [backup-simplify]: Simplify (/ 1 1) into 1
10.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.337 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.337 * [taylor]: Taking taylor expansion of im in re
10.337 * [backup-simplify]: Simplify im into im
10.337 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.337 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.337 * [backup-simplify]: Simplify (+ 1 0) into 1
10.337 * [backup-simplify]: Simplify (sqrt 1) into 1
10.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.338 * [backup-simplify]: Simplify (+ 0 0) into 0
10.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.339 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.339 * [taylor]: Taking taylor expansion of re in re
10.339 * [backup-simplify]: Simplify 0 into 0
10.339 * [backup-simplify]: Simplify 1 into 1
10.339 * [backup-simplify]: Simplify (* 1 1) into 1
10.339 * [backup-simplify]: Simplify (/ 1 1) into 1
10.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.340 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.340 * [taylor]: Taking taylor expansion of im in re
10.340 * [backup-simplify]: Simplify im into im
10.340 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.340 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.343 * [backup-simplify]: Simplify (+ 1 0) into 1
10.344 * [backup-simplify]: Simplify (sqrt 1) into 1
10.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.346 * [backup-simplify]: Simplify (+ 0 0) into 0
10.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.347 * [taylor]: Taking taylor expansion of 1 in im
10.347 * [backup-simplify]: Simplify 1 into 1
10.347 * [taylor]: Taking taylor expansion of 0 in im
10.347 * [backup-simplify]: Simplify 0 into 0
10.347 * [backup-simplify]: Simplify 1 into 1
10.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.349 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.350 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.350 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.350 * [taylor]: Taking taylor expansion of 1/2 in im
10.351 * [backup-simplify]: Simplify 1/2 into 1/2
10.351 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.351 * [taylor]: Taking taylor expansion of im in im
10.351 * [backup-simplify]: Simplify 0 into 0
10.351 * [backup-simplify]: Simplify 1 into 1
10.351 * [backup-simplify]: Simplify (* 1 1) into 1
10.351 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.353 * [backup-simplify]: Simplify 0 into 0
10.353 * [backup-simplify]: Simplify 0 into 0
10.353 * [backup-simplify]: Simplify 0 into 0
10.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.355 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.356 * [backup-simplify]: Simplify (+ 0 0) into 0
10.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.356 * [taylor]: Taking taylor expansion of 0 in im
10.357 * [backup-simplify]: Simplify 0 into 0
10.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.358 * [backup-simplify]: Simplify 0 into 0
10.358 * [backup-simplify]: Simplify 0 into 0
10.359 * [backup-simplify]: Simplify 0 into 0
10.359 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.359 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.359 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.359 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.359 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.359 * [taylor]: Taking taylor expansion of re in im
10.359 * [backup-simplify]: Simplify re into re
10.359 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.360 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.360 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.360 * [taylor]: Taking taylor expansion of im in im
10.360 * [backup-simplify]: Simplify 0 into 0
10.360 * [backup-simplify]: Simplify 1 into 1
10.360 * [backup-simplify]: Simplify (* 1 1) into 1
10.361 * [backup-simplify]: Simplify (/ 1 1) into 1
10.361 * [backup-simplify]: Simplify (+ 0 1) into 1
10.361 * [backup-simplify]: Simplify (sqrt 1) into 1
10.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.363 * [backup-simplify]: Simplify (+ 0 0) into 0
10.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.364 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.364 * [taylor]: Taking taylor expansion of re in re
10.364 * [backup-simplify]: Simplify 0 into 0
10.364 * [backup-simplify]: Simplify 1 into 1
10.364 * [backup-simplify]: Simplify (* 1 1) into 1
10.365 * [backup-simplify]: Simplify (/ 1 1) into 1
10.365 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.365 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.365 * [taylor]: Taking taylor expansion of im in re
10.365 * [backup-simplify]: Simplify im into im
10.365 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.365 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.366 * [backup-simplify]: Simplify (+ 1 0) into 1
10.366 * [backup-simplify]: Simplify (sqrt 1) into 1
10.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.368 * [backup-simplify]: Simplify (+ 0 0) into 0
10.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.369 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.369 * [taylor]: Taking taylor expansion of re in re
10.369 * [backup-simplify]: Simplify 0 into 0
10.369 * [backup-simplify]: Simplify 1 into 1
10.369 * [backup-simplify]: Simplify (* 1 1) into 1
10.370 * [backup-simplify]: Simplify (/ 1 1) into 1
10.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.370 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.370 * [taylor]: Taking taylor expansion of im in re
10.370 * [backup-simplify]: Simplify im into im
10.370 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.370 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.370 * [backup-simplify]: Simplify (+ 1 0) into 1
10.371 * [backup-simplify]: Simplify (sqrt 1) into 1
10.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.373 * [backup-simplify]: Simplify (+ 0 0) into 0
10.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.373 * [taylor]: Taking taylor expansion of 1 in im
10.374 * [backup-simplify]: Simplify 1 into 1
10.374 * [taylor]: Taking taylor expansion of 0 in im
10.374 * [backup-simplify]: Simplify 0 into 0
10.374 * [backup-simplify]: Simplify 1 into 1
10.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.376 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.377 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.377 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.377 * [taylor]: Taking taylor expansion of 1/2 in im
10.377 * [backup-simplify]: Simplify 1/2 into 1/2
10.377 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.377 * [taylor]: Taking taylor expansion of im in im
10.377 * [backup-simplify]: Simplify 0 into 0
10.377 * [backup-simplify]: Simplify 1 into 1
10.378 * [backup-simplify]: Simplify (* 1 1) into 1
10.378 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.380 * [backup-simplify]: Simplify 0 into 0
10.380 * [backup-simplify]: Simplify 0 into 0
10.380 * [backup-simplify]: Simplify 0 into 0
10.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.384 * [backup-simplify]: Simplify (+ 0 0) into 0
10.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.384 * [taylor]: Taking taylor expansion of 0 in im
10.384 * [backup-simplify]: Simplify 0 into 0
10.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.387 * [backup-simplify]: Simplify 0 into 0
10.387 * [backup-simplify]: Simplify 0 into 0
10.387 * [backup-simplify]: Simplify 0 into 0
10.387 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.387 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
10.388 * [backup-simplify]: Simplify (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
10.388 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
10.388 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
10.388 * [taylor]: Taking taylor expansion of re in im
10.389 * [backup-simplify]: Simplify re into re
10.389 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.389 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.389 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.389 * [taylor]: Taking taylor expansion of im in im
10.389 * [backup-simplify]: Simplify 0 into 0
10.389 * [backup-simplify]: Simplify 1 into 1
10.389 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.389 * [taylor]: Taking taylor expansion of re in im
10.389 * [backup-simplify]: Simplify re into re
10.389 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.389 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.389 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.389 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.390 * [backup-simplify]: Simplify (+ 0 0) into 0
10.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.390 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
10.390 * [taylor]: Taking taylor expansion of re in re
10.390 * [backup-simplify]: Simplify 0 into 0
10.390 * [backup-simplify]: Simplify 1 into 1
10.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.390 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.390 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.390 * [taylor]: Taking taylor expansion of im in re
10.390 * [backup-simplify]: Simplify im into im
10.390 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.390 * [taylor]: Taking taylor expansion of re in re
10.390 * [backup-simplify]: Simplify 0 into 0
10.390 * [backup-simplify]: Simplify 1 into 1
10.390 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.391 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.391 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.391 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.391 * [backup-simplify]: Simplify (+ 0 0) into 0
10.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.392 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
10.392 * [taylor]: Taking taylor expansion of re in re
10.392 * [backup-simplify]: Simplify 0 into 0
10.392 * [backup-simplify]: Simplify 1 into 1
10.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.392 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.392 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.392 * [taylor]: Taking taylor expansion of im in re
10.392 * [backup-simplify]: Simplify im into im
10.392 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.392 * [taylor]: Taking taylor expansion of re in re
10.392 * [backup-simplify]: Simplify 0 into 0
10.392 * [backup-simplify]: Simplify 1 into 1
10.392 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.392 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.392 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.392 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.393 * [backup-simplify]: Simplify (+ 0 0) into 0
10.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.393 * [backup-simplify]: Simplify (+ 0 im) into im
10.393 * [taylor]: Taking taylor expansion of im in im
10.393 * [backup-simplify]: Simplify 0 into 0
10.393 * [backup-simplify]: Simplify 1 into 1
10.393 * [backup-simplify]: Simplify 0 into 0
10.394 * [backup-simplify]: Simplify (+ 1 0) into 1
10.394 * [taylor]: Taking taylor expansion of 1 in im
10.394 * [backup-simplify]: Simplify 1 into 1
10.394 * [backup-simplify]: Simplify 1 into 1
10.394 * [backup-simplify]: Simplify 1 into 1
10.394 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.395 * [backup-simplify]: Simplify (* 1 1) into 1
10.395 * [backup-simplify]: Simplify (+ 0 1) into 1
10.396 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.396 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
10.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
10.396 * [taylor]: Taking taylor expansion of 1/2 in im
10.396 * [backup-simplify]: Simplify 1/2 into 1/2
10.396 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.396 * [taylor]: Taking taylor expansion of im in im
10.396 * [backup-simplify]: Simplify 0 into 0
10.397 * [backup-simplify]: Simplify 1 into 1
10.397 * [backup-simplify]: Simplify (/ 1 1) into 1
10.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.398 * [backup-simplify]: Simplify 0 into 0
10.399 * [backup-simplify]: Simplify 0 into 0
10.399 * [backup-simplify]: Simplify 0 into 0
10.399 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.401 * [backup-simplify]: Simplify (+ 0 0) into 0
10.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.401 * [backup-simplify]: Simplify (+ 0 0) into 0
10.401 * [taylor]: Taking taylor expansion of 0 in im
10.401 * [backup-simplify]: Simplify 0 into 0
10.401 * [backup-simplify]: Simplify 0 into 0
10.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.403 * [backup-simplify]: Simplify 0 into 0
10.403 * [backup-simplify]: Simplify 0 into 0
10.403 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
10.405 * [backup-simplify]: Simplify (+ (* (exp (log (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (exp (log (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
10.405 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
10.405 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
10.405 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.405 * [taylor]: Taking taylor expansion of re in im
10.405 * [backup-simplify]: Simplify re into re
10.405 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.405 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.405 * [taylor]: Taking taylor expansion of re in im
10.405 * [backup-simplify]: Simplify re into re
10.405 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.406 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.406 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.406 * [taylor]: Taking taylor expansion of im in im
10.406 * [backup-simplify]: Simplify 0 into 0
10.406 * [backup-simplify]: Simplify 1 into 1
10.406 * [backup-simplify]: Simplify (* 1 1) into 1
10.407 * [backup-simplify]: Simplify (/ 1 1) into 1
10.407 * [backup-simplify]: Simplify (+ 0 1) into 1
10.407 * [backup-simplify]: Simplify (sqrt 1) into 1
10.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.409 * [backup-simplify]: Simplify (+ 0 0) into 0
10.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.410 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
10.410 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.410 * [taylor]: Taking taylor expansion of re in re
10.410 * [backup-simplify]: Simplify 0 into 0
10.410 * [backup-simplify]: Simplify 1 into 1
10.411 * [backup-simplify]: Simplify (/ 1 1) into 1
10.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.411 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.411 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.411 * [taylor]: Taking taylor expansion of re in re
10.411 * [backup-simplify]: Simplify 0 into 0
10.411 * [backup-simplify]: Simplify 1 into 1
10.411 * [backup-simplify]: Simplify (* 1 1) into 1
10.412 * [backup-simplify]: Simplify (/ 1 1) into 1
10.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.412 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.412 * [taylor]: Taking taylor expansion of im in re
10.412 * [backup-simplify]: Simplify im into im
10.412 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.412 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.413 * [backup-simplify]: Simplify (+ 1 0) into 1
10.413 * [backup-simplify]: Simplify (sqrt 1) into 1
10.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.415 * [backup-simplify]: Simplify (+ 0 0) into 0
10.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.416 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
10.416 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.416 * [taylor]: Taking taylor expansion of re in re
10.416 * [backup-simplify]: Simplify 0 into 0
10.416 * [backup-simplify]: Simplify 1 into 1
10.416 * [backup-simplify]: Simplify (/ 1 1) into 1
10.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.416 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.416 * [taylor]: Taking taylor expansion of re in re
10.416 * [backup-simplify]: Simplify 0 into 0
10.416 * [backup-simplify]: Simplify 1 into 1
10.417 * [backup-simplify]: Simplify (* 1 1) into 1
10.417 * [backup-simplify]: Simplify (/ 1 1) into 1
10.417 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.417 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.417 * [taylor]: Taking taylor expansion of im in re
10.417 * [backup-simplify]: Simplify im into im
10.417 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.418 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.418 * [backup-simplify]: Simplify (+ 1 0) into 1
10.418 * [backup-simplify]: Simplify (sqrt 1) into 1
10.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.420 * [backup-simplify]: Simplify (+ 0 0) into 0
10.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.421 * [backup-simplify]: Simplify (+ 1 1) into 2
10.421 * [taylor]: Taking taylor expansion of 2 in im
10.422 * [backup-simplify]: Simplify 2 into 2
10.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.423 * [backup-simplify]: Simplify (+ 0 0) into 0
10.423 * [taylor]: Taking taylor expansion of 0 in im
10.423 * [backup-simplify]: Simplify 0 into 0
10.423 * [backup-simplify]: Simplify 2 into 2
10.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.426 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.427 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.428 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
10.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.428 * [taylor]: Taking taylor expansion of 1/2 in im
10.428 * [backup-simplify]: Simplify 1/2 into 1/2
10.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.428 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.428 * [taylor]: Taking taylor expansion of im in im
10.428 * [backup-simplify]: Simplify 0 into 0
10.428 * [backup-simplify]: Simplify 1 into 1
10.428 * [backup-simplify]: Simplify (* 1 1) into 1
10.429 * [backup-simplify]: Simplify (/ 1 1) into 1
10.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.431 * [backup-simplify]: Simplify 0 into 0
10.431 * [backup-simplify]: Simplify 0 into 0
10.431 * [backup-simplify]: Simplify 0 into 0
10.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.435 * [backup-simplify]: Simplify (+ 0 0) into 0
10.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.436 * [backup-simplify]: Simplify (+ 0 0) into 0
10.436 * [taylor]: Taking taylor expansion of 0 in im
10.436 * [backup-simplify]: Simplify 0 into 0
10.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.439 * [backup-simplify]: Simplify 0 into 0
10.439 * [backup-simplify]: Simplify 0 into 0
10.439 * [backup-simplify]: Simplify 0 into 0
10.439 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
10.441 * [backup-simplify]: Simplify (+ (* (exp (log (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (exp (log (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
10.441 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
10.441 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
10.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.441 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.441 * [taylor]: Taking taylor expansion of re in im
10.441 * [backup-simplify]: Simplify re into re
10.441 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.442 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.442 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.442 * [taylor]: Taking taylor expansion of im in im
10.442 * [backup-simplify]: Simplify 0 into 0
10.442 * [backup-simplify]: Simplify 1 into 1
10.442 * [backup-simplify]: Simplify (* 1 1) into 1
10.443 * [backup-simplify]: Simplify (/ 1 1) into 1
10.443 * [backup-simplify]: Simplify (+ 0 1) into 1
10.443 * [backup-simplify]: Simplify (sqrt 1) into 1
10.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.445 * [backup-simplify]: Simplify (+ 0 0) into 0
10.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.446 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.446 * [taylor]: Taking taylor expansion of re in im
10.446 * [backup-simplify]: Simplify re into re
10.447 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.447 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
10.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.447 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.447 * [taylor]: Taking taylor expansion of re in re
10.447 * [backup-simplify]: Simplify 0 into 0
10.447 * [backup-simplify]: Simplify 1 into 1
10.447 * [backup-simplify]: Simplify (* 1 1) into 1
10.448 * [backup-simplify]: Simplify (/ 1 1) into 1
10.448 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.448 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.448 * [taylor]: Taking taylor expansion of im in re
10.448 * [backup-simplify]: Simplify im into im
10.448 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.448 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.448 * [backup-simplify]: Simplify (+ 1 0) into 1
10.449 * [backup-simplify]: Simplify (sqrt 1) into 1
10.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.451 * [backup-simplify]: Simplify (+ 0 0) into 0
10.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.451 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.451 * [taylor]: Taking taylor expansion of re in re
10.451 * [backup-simplify]: Simplify 0 into 0
10.451 * [backup-simplify]: Simplify 1 into 1
10.452 * [backup-simplify]: Simplify (/ 1 1) into 1
10.452 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
10.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.452 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.452 * [taylor]: Taking taylor expansion of re in re
10.452 * [backup-simplify]: Simplify 0 into 0
10.452 * [backup-simplify]: Simplify 1 into 1
10.452 * [backup-simplify]: Simplify (* 1 1) into 1
10.453 * [backup-simplify]: Simplify (/ 1 1) into 1
10.453 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.453 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.453 * [taylor]: Taking taylor expansion of im in re
10.453 * [backup-simplify]: Simplify im into im
10.453 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.453 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.454 * [backup-simplify]: Simplify (+ 1 0) into 1
10.454 * [backup-simplify]: Simplify (sqrt 1) into 1
10.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.456 * [backup-simplify]: Simplify (+ 0 0) into 0
10.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.457 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.457 * [taylor]: Taking taylor expansion of re in re
10.457 * [backup-simplify]: Simplify 0 into 0
10.457 * [backup-simplify]: Simplify 1 into 1
10.457 * [backup-simplify]: Simplify (/ 1 1) into 1
10.458 * [backup-simplify]: Simplify (- 1) into -1
10.458 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.458 * [taylor]: Taking taylor expansion of 0 in im
10.458 * [backup-simplify]: Simplify 0 into 0
10.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.459 * [backup-simplify]: Simplify (- 0) into 0
10.460 * [backup-simplify]: Simplify (+ 0 0) into 0
10.460 * [taylor]: Taking taylor expansion of 0 in im
10.460 * [backup-simplify]: Simplify 0 into 0
10.460 * [backup-simplify]: Simplify 0 into 0
10.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.462 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.463 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.465 * [backup-simplify]: Simplify (- 0) into 0
10.465 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.465 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.465 * [taylor]: Taking taylor expansion of 1/2 in im
10.465 * [backup-simplify]: Simplify 1/2 into 1/2
10.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.465 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.465 * [taylor]: Taking taylor expansion of im in im
10.465 * [backup-simplify]: Simplify 0 into 0
10.465 * [backup-simplify]: Simplify 1 into 1
10.466 * [backup-simplify]: Simplify (* 1 1) into 1
10.466 * [backup-simplify]: Simplify (/ 1 1) into 1
10.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.469 * [backup-simplify]: Simplify 0 into 0
10.469 * [backup-simplify]: Simplify 0 into 0
10.469 * [backup-simplify]: Simplify 0 into 0
10.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.473 * [backup-simplify]: Simplify (+ 0 0) into 0
10.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.475 * [backup-simplify]: Simplify (- 0) into 0
10.475 * [backup-simplify]: Simplify (+ 0 0) into 0
10.475 * [taylor]: Taking taylor expansion of 0 in im
10.475 * [backup-simplify]: Simplify 0 into 0
10.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.478 * [backup-simplify]: Simplify 0 into 0
10.478 * [backup-simplify]: Simplify 0 into 0
10.478 * [backup-simplify]: Simplify 0 into 0
10.478 * * * [progress]: simplifying candidates
10.480 * [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 (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (exp re))
  (log (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (exp (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))
  (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (* (* (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re) (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (sqrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (sqrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (+ (pow (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) 3) (pow re 3))
  (+ (* (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (- (* re re) (* (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))
  (- (* (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (* re re))
  (- (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
10.482 * * [simplify]: iteration 0: 66 enodes
10.514 * * [simplify]: iteration 1: 170 enodes
10.559 * * [simplify]: iteration 2: 413 enodes
10.731 * * [simplify]: iteration 3: 1151 enodes
11.702 * * [simplify]: iteration 4: 3588 enodes
12.838 * * [simplify]: iteration complete: 5003 enodes
12.838 * * [simplify]: Extracting #0: cost 31 inf + 0
12.839 * * [simplify]: Extracting #1: cost 186 inf + 129
12.843 * * [simplify]: Extracting #2: cost 611 inf + 1664
12.855 * * [simplify]: Extracting #3: cost 1023 inf + 14913
12.909 * * [simplify]: Extracting #4: cost 839 inf + 111711
13.019 * * [simplify]: Extracting #5: cost 321 inf + 356649
13.165 * * [simplify]: Extracting #6: cost 98 inf + 519874
13.273 * * [simplify]: Extracting #7: cost 21 inf + 532575
13.432 * * [simplify]: Extracting #8: cost 0 inf + 538208
13.546 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ re (sqrt (+ (* im im) (* re re)))))
  (log (+ re (sqrt (+ (* im im) (* re re)))))
  (exp (+ re (sqrt (+ (* im im) (* re re)))))
  (* (cbrt (+ re (sqrt (+ (* im im) (* re re))))) (cbrt (+ re (sqrt (+ (* im im) (* re re))))))
  (cbrt (+ re (sqrt (+ (* im im) (* re re)))))
  (* (* (+ re (sqrt (+ (* im im) (* re re)))) (+ re (sqrt (+ (* im im) (* re re))))) (+ re (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ re (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ re (sqrt (+ (* im im) (* re re)))))
  (+ (* re (* re re)) (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))))
  (+ (* re (- re (sqrt (+ (* im im) (* re re))))) (+ (* im im) (* re re)))
  (* im im)
  (- (sqrt (+ (* im im) (* re re))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
13.568 * * * [progress]: adding candidates to table
14.132 * [progress]: [Phase 3 of 3] Extracting.
14.132 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
14.138 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re)
14.138 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
14.282 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))>)
14.382 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
14.516 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 0))>)
14.551 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
14.629 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 0))>)
14.703 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
14.810 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 0))>)
14.871 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
14.996 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 0))>)
15.057 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
15.170 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
15.263 * * * [regime]: Found split indices: #<option (#s(si 6 113) #s(si 0 197) #s(si 2 255))>
15.263 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
15.404 * [regimes]: Found splitpoints: (#s(sp 6 re -9.064518896973367e-262) #s(sp 0 re 5.609857205188481e+85) #s(sp 2 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
15.404 * [simplify]: Simplifying:
  (if (<= re -9.064518896973367e-262) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (if (<= re 5.609857205188481e+85) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
15.405 * * [simplify]: iteration 0: 30 enodes
15.407 * * [simplify]: iteration 1: 37 enodes
15.410 * * [simplify]: iteration complete: 37 enodes
15.410 * * [simplify]: Extracting #0: cost 1 inf + 0
15.410 * * [simplify]: Extracting #1: cost 4 inf + 0
15.410 * * [simplify]: Extracting #2: cost 11 inf + 0
15.410 * * [simplify]: Extracting #3: cost 13 inf + 3
15.410 * * [simplify]: Extracting #4: cost 15 inf + 71
15.410 * * [simplify]: Extracting #5: cost 19 inf + 138
15.410 * * [simplify]: Extracting #6: cost 19 inf + 180
15.411 * * [simplify]: Extracting #7: cost 18 inf + 263
15.411 * * [simplify]: Extracting #8: cost 13 inf + 671
15.411 * * [simplify]: Extracting #9: cost 7 inf + 1764
15.412 * * [simplify]: Extracting #10: cost 4 inf + 2774
15.413 * * [simplify]: Extracting #11: cost 3 inf + 3057
15.414 * * [simplify]: Extracting #12: cost 1 inf + 3996
15.416 * * [simplify]: Extracting #13: cost 0 inf + 4982
15.417 * [simplify]: Simplified to:
  (if (<= re -9.064518896973367e-262) (* (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 0.5) (if (<= re 5.609857205188481e+85) (* 0.5 (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re))))))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
18.866 * [regime-testing]: Baseline error score: 38.57676898677488
18.876 * [regime-testing]: Oracle error score: 17.042291099994475
18.899 * [regime-testing]: End program error score: 26.27260694408415
19.048 * [regime-testing]: Target error score: 33.82097365259701