0.682 * [progress]: [Phase 1 of 3] Setting up.
0.004 * * * [progress]: [1/2] Preparing points
0.347 * * * [progress]: [2/2] Setting up program.
0.357 * [progress]: [Phase 2 of 3] Improving.
0.361 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.362 * * [simplify]: iteration 0: 12 enodes
0.367 * * [simplify]: iteration 1: 17 enodes
0.369 * * [simplify]: iteration 2: 24 enodes
0.374 * * [simplify]: iteration 3: 30 enodes
0.420 * * [simplify]: iteration 4: 35 enodes
0.433 * * [simplify]: iteration complete: 35 enodes
0.434 * * [simplify]: Extracting #0: cost 1 inf + 0
0.434 * * [simplify]: Extracting #1: cost 3 inf + 0
0.435 * * [simplify]: Extracting #2: cost 3 inf + 1
0.435 * * [simplify]: Extracting #3: cost 8 inf + 1
0.435 * * [simplify]: Extracting #4: cost 11 inf + 2
0.435 * * [simplify]: Extracting #5: cost 7 inf + 209
0.436 * * [simplify]: Extracting #6: cost 9 inf + 209
0.436 * * [simplify]: Extracting #7: cost 9 inf + 250
0.436 * * [simplify]: Extracting #8: cost 7 inf + 292
0.437 * * [simplify]: Extracting #9: cost 5 inf + 576
0.437 * * [simplify]: Extracting #10: cost 2 inf + 1224
0.438 * * [simplify]: Extracting #11: cost 0 inf + 1831
0.492 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.497 * * [progress]: iteration 1 / 4
0.497 * * * [progress]: picking best candidate
0.510 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
0.510 * * * [progress]: localizing error
0.544 * * * [progress]: generating rewritten candidates
0.544 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.554 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.592 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.641 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.650 * * * [progress]: generating series expansions
0.650 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.691 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.691 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.693 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.693 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.693 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.693 * [taylor]: Taking taylor expansion of im in im
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify 1 into 1
0.693 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.693 * [taylor]: Taking taylor expansion of re in im
0.694 * [backup-simplify]: Simplify re into re
0.695 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.696 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.696 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.696 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.698 * [backup-simplify]: Simplify (+ 0 0) into 0
0.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.698 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.698 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.699 * [taylor]: Taking taylor expansion of im in re
0.699 * [backup-simplify]: Simplify im into im
0.699 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.699 * [taylor]: Taking taylor expansion of re in re
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 1 into 1
0.699 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.699 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.699 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.699 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.700 * [backup-simplify]: Simplify (+ 0 0) into 0
0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.701 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.701 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.701 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.701 * [taylor]: Taking taylor expansion of im in re
0.701 * [backup-simplify]: Simplify im into im
0.701 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.701 * [taylor]: Taking taylor expansion of re in re
0.701 * [backup-simplify]: Simplify 0 into 0
0.701 * [backup-simplify]: Simplify 1 into 1
0.701 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.701 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.701 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.701 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.702 * [backup-simplify]: Simplify (+ 0 0) into 0
0.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.703 * [taylor]: Taking taylor expansion of im in im
0.704 * [backup-simplify]: Simplify 0 into 0
0.704 * [backup-simplify]: Simplify 1 into 1
0.704 * [backup-simplify]: Simplify 0 into 0
0.704 * [taylor]: Taking taylor expansion of 0 in im
0.704 * [backup-simplify]: Simplify 0 into 0
0.704 * [backup-simplify]: Simplify 0 into 0
0.704 * [backup-simplify]: Simplify 1 into 1
0.706 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.706 * [backup-simplify]: Simplify (* 1 1) into 1
0.707 * [backup-simplify]: Simplify (+ 0 1) into 1
0.708 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.708 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.708 * [taylor]: Taking taylor expansion of 1/2 in im
0.708 * [backup-simplify]: Simplify 1/2 into 1/2
0.708 * [taylor]: Taking taylor expansion of im in im
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 1 into 1
0.709 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.711 * [backup-simplify]: Simplify 0 into 0
0.711 * [backup-simplify]: Simplify 0 into 0
0.711 * [backup-simplify]: Simplify 0 into 0
0.712 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.714 * [backup-simplify]: Simplify (+ 0 0) into 0
0.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.715 * [taylor]: Taking taylor expansion of 0 in im
0.715 * [backup-simplify]: Simplify 0 into 0
0.715 * [backup-simplify]: Simplify 0 into 0
0.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify 0 into 0
0.717 * [backup-simplify]: Simplify 0 into 0
0.717 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.718 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.718 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.718 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.718 * [taylor]: Taking taylor expansion of re in im
0.718 * [backup-simplify]: Simplify re into re
0.718 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.718 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.718 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.718 * [taylor]: Taking taylor expansion of im in im
0.718 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify 1 into 1
0.719 * [backup-simplify]: Simplify (* 1 1) into 1
0.720 * [backup-simplify]: Simplify (/ 1 1) into 1
0.720 * [backup-simplify]: Simplify (+ 0 1) into 1
0.720 * [backup-simplify]: Simplify (sqrt 1) into 1
0.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.722 * [backup-simplify]: Simplify (+ 0 0) into 0
0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.723 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.723 * [taylor]: Taking taylor expansion of re in re
0.723 * [backup-simplify]: Simplify 0 into 0
0.723 * [backup-simplify]: Simplify 1 into 1
0.723 * [backup-simplify]: Simplify (* 1 1) into 1
0.723 * [backup-simplify]: Simplify (/ 1 1) into 1
0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.723 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.723 * [taylor]: Taking taylor expansion of im in re
0.723 * [backup-simplify]: Simplify im into im
0.724 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.724 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.724 * [backup-simplify]: Simplify (+ 1 0) into 1
0.724 * [backup-simplify]: Simplify (sqrt 1) into 1
0.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.726 * [backup-simplify]: Simplify (+ 0 0) into 0
0.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.727 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.727 * [taylor]: Taking taylor expansion of re in re
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify 1 into 1
0.727 * [backup-simplify]: Simplify (* 1 1) into 1
0.728 * [backup-simplify]: Simplify (/ 1 1) into 1
0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.728 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.728 * [taylor]: Taking taylor expansion of im in re
0.728 * [backup-simplify]: Simplify im into im
0.728 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.728 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.729 * [backup-simplify]: Simplify (+ 1 0) into 1
0.729 * [backup-simplify]: Simplify (sqrt 1) into 1
0.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.731 * [backup-simplify]: Simplify (+ 0 0) into 0
0.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.732 * [taylor]: Taking taylor expansion of 1 in im
0.732 * [backup-simplify]: Simplify 1 into 1
0.732 * [taylor]: Taking taylor expansion of 0 in im
0.732 * [backup-simplify]: Simplify 0 into 0
0.733 * [backup-simplify]: Simplify 1 into 1
0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.735 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.737 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.737 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.737 * [taylor]: Taking taylor expansion of 1/2 in im
0.737 * [backup-simplify]: Simplify 1/2 into 1/2
0.737 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.737 * [taylor]: Taking taylor expansion of im in im
0.737 * [backup-simplify]: Simplify 0 into 0
0.737 * [backup-simplify]: Simplify 1 into 1
0.738 * [backup-simplify]: Simplify (* 1 1) into 1
0.771 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.773 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify 0 into 0
0.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.776 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.777 * [backup-simplify]: Simplify (+ 0 0) into 0
0.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.778 * [taylor]: Taking taylor expansion of 0 in im
0.778 * [backup-simplify]: Simplify 0 into 0
0.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.780 * [backup-simplify]: Simplify 0 into 0
0.780 * [backup-simplify]: Simplify 0 into 0
0.780 * [backup-simplify]: Simplify 0 into 0
0.781 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.781 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.781 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.781 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.781 * [taylor]: Taking taylor expansion of re in im
0.781 * [backup-simplify]: Simplify re into re
0.781 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.781 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.782 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.782 * [taylor]: Taking taylor expansion of im in im
0.782 * [backup-simplify]: Simplify 0 into 0
0.782 * [backup-simplify]: Simplify 1 into 1
0.782 * [backup-simplify]: Simplify (* 1 1) into 1
0.783 * [backup-simplify]: Simplify (/ 1 1) into 1
0.783 * [backup-simplify]: Simplify (+ 0 1) into 1
0.784 * [backup-simplify]: Simplify (sqrt 1) into 1
0.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.787 * [backup-simplify]: Simplify (+ 0 0) into 0
0.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.788 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.788 * [taylor]: Taking taylor expansion of re in re
0.788 * [backup-simplify]: Simplify 0 into 0
0.788 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.789 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.789 * [taylor]: Taking taylor expansion of im in re
0.789 * [backup-simplify]: Simplify im into im
0.789 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.789 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.789 * [backup-simplify]: Simplify (+ 1 0) into 1
0.790 * [backup-simplify]: Simplify (sqrt 1) into 1
0.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.792 * [backup-simplify]: Simplify (+ 0 0) into 0
0.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.792 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.792 * [taylor]: Taking taylor expansion of re in re
0.792 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify 1 into 1
0.793 * [backup-simplify]: Simplify (* 1 1) into 1
0.793 * [backup-simplify]: Simplify (/ 1 1) into 1
0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.793 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.793 * [taylor]: Taking taylor expansion of im in re
0.793 * [backup-simplify]: Simplify im into im
0.793 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.794 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.794 * [backup-simplify]: Simplify (+ 1 0) into 1
0.794 * [backup-simplify]: Simplify (sqrt 1) into 1
0.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.796 * [backup-simplify]: Simplify (+ 0 0) into 0
0.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.798 * [taylor]: Taking taylor expansion of 1 in im
0.798 * [backup-simplify]: Simplify 1 into 1
0.798 * [taylor]: Taking taylor expansion of 0 in im
0.798 * [backup-simplify]: Simplify 0 into 0
0.798 * [backup-simplify]: Simplify 1 into 1
0.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.801 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.803 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.803 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.803 * [taylor]: Taking taylor expansion of 1/2 in im
0.803 * [backup-simplify]: Simplify 1/2 into 1/2
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
0.804 * [backup-simplify]: Simplify (* 1 1) into 1
0.804 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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
0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.809 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.810 * [backup-simplify]: Simplify (+ 0 0) into 0
0.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.810 * [taylor]: Taking taylor expansion of 0 in im
0.811 * [backup-simplify]: Simplify 0 into 0
0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.855 * [backup-simplify]: Simplify 0 into 0
0.855 * [backup-simplify]: Simplify 0 into 0
0.855 * [backup-simplify]: Simplify 0 into 0
0.855 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.856 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.856 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
0.856 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
0.856 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.856 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 1 into 1
0.857 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.857 * [taylor]: Taking taylor expansion of re in im
0.857 * [backup-simplify]: Simplify re into re
0.857 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.857 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.857 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.857 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.858 * [backup-simplify]: Simplify (+ 0 0) into 0
0.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.859 * [taylor]: Taking taylor expansion of re in im
0.859 * [backup-simplify]: Simplify re into re
0.859 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.859 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.859 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.859 * [taylor]: Taking taylor expansion of im in re
0.859 * [backup-simplify]: Simplify im into im
0.859 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.859 * [taylor]: Taking taylor expansion of re in re
0.859 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify 1 into 1
0.859 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.860 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.860 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.860 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.861 * [backup-simplify]: Simplify (+ 0 0) into 0
0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
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 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.861 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.861 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.861 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.861 * [taylor]: Taking taylor expansion of im in re
0.861 * [backup-simplify]: Simplify im into im
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
0.862 * [backup-simplify]: Simplify 1 into 1
0.862 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.862 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.862 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.862 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.863 * [backup-simplify]: Simplify (+ 0 0) into 0
0.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.863 * [taylor]: Taking taylor expansion of re in re
0.863 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify 1 into 1
0.864 * [backup-simplify]: Simplify (- 0) into 0
0.864 * [backup-simplify]: Simplify (+ im 0) into im
0.864 * [taylor]: Taking taylor expansion of im in im
0.864 * [backup-simplify]: Simplify 0 into 0
0.865 * [backup-simplify]: Simplify 1 into 1
0.865 * [backup-simplify]: Simplify 0 into 0
0.865 * [backup-simplify]: Simplify (- 1) into -1
0.866 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.866 * [taylor]: Taking taylor expansion of -1 in im
0.866 * [backup-simplify]: Simplify -1 into -1
0.866 * [backup-simplify]: Simplify -1 into -1
0.866 * [backup-simplify]: Simplify 1 into 1
0.867 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.868 * [backup-simplify]: Simplify (* 1 1) into 1
0.869 * [backup-simplify]: Simplify (+ 0 1) into 1
0.871 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.872 * [backup-simplify]: Simplify (- 0) into 0
0.872 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.872 * [taylor]: Taking taylor expansion of 1/2 in im
0.872 * [backup-simplify]: Simplify 1/2 into 1/2
0.872 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.872 * [taylor]: Taking taylor expansion of im in im
0.872 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify 1 into 1
0.873 * [backup-simplify]: Simplify (/ 1 1) into 1
0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.878 * [backup-simplify]: Simplify (+ 0 0) into 0
0.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.879 * [backup-simplify]: Simplify (- 0) into 0
0.879 * [backup-simplify]: Simplify (+ 0 0) into 0
0.879 * [taylor]: Taking taylor expansion of 0 in im
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.882 * [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))
0.882 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.882 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.883 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.883 * [taylor]: Taking taylor expansion of re in im
0.883 * [backup-simplify]: Simplify re into re
0.883 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.883 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.883 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.883 * [taylor]: Taking taylor expansion of im in im
0.883 * [backup-simplify]: Simplify 0 into 0
0.883 * [backup-simplify]: Simplify 1 into 1
0.884 * [backup-simplify]: Simplify (* 1 1) into 1
0.884 * [backup-simplify]: Simplify (/ 1 1) into 1
0.885 * [backup-simplify]: Simplify (+ 0 1) into 1
0.885 * [backup-simplify]: Simplify (sqrt 1) into 1
0.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.887 * [backup-simplify]: Simplify (+ 0 0) into 0
0.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.888 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.888 * [taylor]: Taking taylor expansion of re in im
0.888 * [backup-simplify]: Simplify re into re
0.888 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.888 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.888 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.888 * [taylor]: Taking taylor expansion of re in re
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify 1 into 1
0.889 * [backup-simplify]: Simplify (* 1 1) into 1
0.889 * [backup-simplify]: Simplify (/ 1 1) into 1
0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.889 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.889 * [taylor]: Taking taylor expansion of im in re
0.889 * [backup-simplify]: Simplify im into im
0.890 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.890 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.890 * [backup-simplify]: Simplify (+ 1 0) into 1
0.891 * [backup-simplify]: Simplify (sqrt 1) into 1
0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.893 * [backup-simplify]: Simplify (+ 0 0) into 0
0.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.894 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.894 * [taylor]: Taking taylor expansion of re in re
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify 1 into 1
0.894 * [backup-simplify]: Simplify (/ 1 1) into 1
0.894 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.895 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.895 * [taylor]: Taking taylor expansion of re in re
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [backup-simplify]: Simplify 1 into 1
0.895 * [backup-simplify]: Simplify (* 1 1) into 1
0.896 * [backup-simplify]: Simplify (/ 1 1) into 1
0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.896 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.896 * [taylor]: Taking taylor expansion of im in re
0.896 * [backup-simplify]: Simplify im into im
0.896 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.896 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.897 * [backup-simplify]: Simplify (+ 1 0) into 1
0.897 * [backup-simplify]: Simplify (sqrt 1) into 1
0.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.899 * [backup-simplify]: Simplify (+ 0 0) into 0
0.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.900 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.900 * [taylor]: Taking taylor expansion of re in re
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [backup-simplify]: Simplify 1 into 1
0.900 * [backup-simplify]: Simplify (/ 1 1) into 1
0.901 * [backup-simplify]: Simplify (- 1) into -1
0.901 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.901 * [taylor]: Taking taylor expansion of 0 in im
0.901 * [backup-simplify]: Simplify 0 into 0
0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.902 * [backup-simplify]: Simplify (- 0) into 0
0.903 * [backup-simplify]: Simplify (+ 0 0) into 0
0.903 * [taylor]: Taking taylor expansion of 0 in im
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.905 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.906 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.908 * [backup-simplify]: Simplify (- 0) into 0
0.908 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.908 * [taylor]: Taking taylor expansion of 1/2 in im
0.908 * [backup-simplify]: Simplify 1/2 into 1/2
0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.908 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.908 * [taylor]: Taking taylor expansion of im in im
0.908 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify 1 into 1
0.909 * [backup-simplify]: Simplify (* 1 1) into 1
0.909 * [backup-simplify]: Simplify (/ 1 1) into 1
0.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) 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
0.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.913 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.914 * [backup-simplify]: Simplify (+ 0 0) into 0
0.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.916 * [backup-simplify]: Simplify (- 0) into 0
0.916 * [backup-simplify]: Simplify (+ 0 0) into 0
0.917 * [taylor]: Taking taylor expansion of 0 in im
0.917 * [backup-simplify]: Simplify 0 into 0
0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.920 * [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)))))
0.920 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.920 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.920 * [taylor]: Taking taylor expansion of re in im
0.920 * [backup-simplify]: Simplify re into re
0.920 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.920 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.920 * [taylor]: Taking taylor expansion of re in im
0.920 * [backup-simplify]: Simplify re into re
0.920 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.921 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.921 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.921 * [taylor]: Taking taylor expansion of im in im
0.921 * [backup-simplify]: Simplify 0 into 0
0.921 * [backup-simplify]: Simplify 1 into 1
0.921 * [backup-simplify]: Simplify (* 1 1) into 1
0.921 * [backup-simplify]: Simplify (/ 1 1) into 1
0.922 * [backup-simplify]: Simplify (+ 0 1) into 1
0.922 * [backup-simplify]: Simplify (sqrt 1) into 1
0.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.924 * [backup-simplify]: Simplify (+ 0 0) into 0
0.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.925 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.925 * [taylor]: Taking taylor expansion of re in re
0.925 * [backup-simplify]: Simplify 0 into 0
0.925 * [backup-simplify]: Simplify 1 into 1
0.926 * [backup-simplify]: Simplify (/ 1 1) into 1
0.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.926 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.926 * [taylor]: Taking taylor expansion of re in re
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 1 into 1
0.926 * [backup-simplify]: Simplify (* 1 1) into 1
0.927 * [backup-simplify]: Simplify (/ 1 1) into 1
0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.927 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.927 * [taylor]: Taking taylor expansion of im in re
0.927 * [backup-simplify]: Simplify im into im
0.927 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.927 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.928 * [backup-simplify]: Simplify (+ 1 0) into 1
0.928 * [backup-simplify]: Simplify (sqrt 1) into 1
0.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.930 * [backup-simplify]: Simplify (+ 0 0) into 0
0.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.931 * [taylor]: Taking taylor expansion of re in re
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 1 into 1
0.931 * [backup-simplify]: Simplify (/ 1 1) into 1
0.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.931 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.931 * [taylor]: Taking taylor expansion of re in re
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 1 into 1
0.932 * [backup-simplify]: Simplify (* 1 1) into 1
0.932 * [backup-simplify]: Simplify (/ 1 1) into 1
0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.932 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.932 * [taylor]: Taking taylor expansion of im in re
0.932 * [backup-simplify]: Simplify im into im
0.932 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.933 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.933 * [backup-simplify]: Simplify (+ 1 0) into 1
0.933 * [backup-simplify]: Simplify (sqrt 1) into 1
0.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.935 * [backup-simplify]: Simplify (+ 0 0) into 0
0.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.937 * [backup-simplify]: Simplify (+ 1 1) into 2
0.937 * [taylor]: Taking taylor expansion of 2 in im
0.937 * [backup-simplify]: Simplify 2 into 2
0.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.938 * [backup-simplify]: Simplify (+ 0 0) into 0
0.938 * [taylor]: Taking taylor expansion of 0 in im
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify 2 into 2
0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.941 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.942 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.943 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.943 * [taylor]: Taking taylor expansion of 1/2 in im
0.943 * [backup-simplify]: Simplify 1/2 into 1/2
0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.943 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.943 * [taylor]: Taking taylor expansion of im in im
0.943 * [backup-simplify]: Simplify 0 into 0
0.943 * [backup-simplify]: Simplify 1 into 1
0.943 * [backup-simplify]: Simplify (* 1 1) into 1
0.944 * [backup-simplify]: Simplify (/ 1 1) into 1
0.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.950 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.950 * [backup-simplify]: Simplify (+ 0 0) into 0
0.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.951 * [backup-simplify]: Simplify (+ 0 0) into 0
0.951 * [taylor]: Taking taylor expansion of 0 in im
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.954 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.955 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.955 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)))
0.955 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0
0.955 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
0.955 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.956 * [taylor]: Taking taylor expansion of 2.0 in im
0.956 * [backup-simplify]: Simplify 2.0 into 2.0
0.956 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.958 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
0.958 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
0.958 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.959 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.959 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.959 * [taylor]: Taking taylor expansion of im in im
0.959 * [backup-simplify]: Simplify 0 into 0
0.959 * [backup-simplify]: Simplify 1 into 1
0.959 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.959 * [taylor]: Taking taylor expansion of re in im
0.959 * [backup-simplify]: Simplify re into re
0.959 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.959 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.959 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.959 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.960 * [backup-simplify]: Simplify (+ 0 0) into 0
0.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.960 * [taylor]: Taking taylor expansion of re in im
0.960 * [backup-simplify]: Simplify re into re
0.960 * [backup-simplify]: Simplify (- re) into (- re)
0.960 * [backup-simplify]: Simplify (+ re (- re)) into 0
0.961 * [backup-simplify]: Simplify (- 0) into 0
0.961 * [backup-simplify]: Simplify (+ 0 0) into 0
0.961 * [backup-simplify]: Simplify (* 1 1) into 1
0.962 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
0.962 * [backup-simplify]: Simplify (+ 1 0) into 1
0.963 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
0.964 * [backup-simplify]: Simplify (- 0) into 0
0.964 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
0.966 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
0.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.968 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
0.968 * [backup-simplify]: Simplify (+ 0 0) into 0
0.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
0.969 * [backup-simplify]: Simplify (- 0) into 0
0.970 * [backup-simplify]: Simplify (+ 0 0) into 0
0.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
0.970 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
0.970 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.970 * [taylor]: Taking taylor expansion of 2.0 in re
0.970 * [backup-simplify]: Simplify 2.0 into 2.0
0.970 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.971 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
0.971 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.971 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.971 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.971 * [taylor]: Taking taylor expansion of im in re
0.971 * [backup-simplify]: Simplify im into im
0.971 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.972 * [taylor]: Taking taylor expansion of re in re
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify 1 into 1
0.972 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.972 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.972 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.972 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.973 * [backup-simplify]: Simplify (+ 0 0) into 0
0.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.973 * [taylor]: Taking taylor expansion of re in re
0.973 * [backup-simplify]: Simplify 0 into 0
0.973 * [backup-simplify]: Simplify 1 into 1
0.973 * [backup-simplify]: Simplify (- 0) into 0
0.973 * [backup-simplify]: Simplify (+ im 0) into im
0.973 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.974 * [backup-simplify]: Simplify (- 1) into -1
0.974 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.975 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.975 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
0.975 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.975 * [taylor]: Taking taylor expansion of 2.0 in re
0.975 * [backup-simplify]: Simplify 2.0 into 2.0
0.975 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.976 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
0.976 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.976 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.976 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.976 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.976 * [taylor]: Taking taylor expansion of im in re
0.976 * [backup-simplify]: Simplify im into im
0.976 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.976 * [taylor]: Taking taylor expansion of re in re
0.976 * [backup-simplify]: Simplify 0 into 0
0.976 * [backup-simplify]: Simplify 1 into 1
0.977 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.977 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.978 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.978 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.979 * [backup-simplify]: Simplify (+ 0 0) into 0
0.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.979 * [taylor]: Taking taylor expansion of re in re
0.979 * [backup-simplify]: Simplify 0 into 0
0.979 * [backup-simplify]: Simplify 1 into 1
0.980 * [backup-simplify]: Simplify (- 0) into 0
0.980 * [backup-simplify]: Simplify (+ im 0) into im
0.980 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.980 * [backup-simplify]: Simplify (- 1) into -1
0.981 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.981 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.982 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.982 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.982 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.982 * [taylor]: Taking taylor expansion of 2.0 in im
0.982 * [backup-simplify]: Simplify 2.0 into 2.0
0.982 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.983 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.984 * [taylor]: Taking taylor expansion of im in im
0.984 * [backup-simplify]: Simplify 0 into 0
0.984 * [backup-simplify]: Simplify 1 into 1
0.984 * [backup-simplify]: Simplify (sqrt 0) into 0
0.986 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.989 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.991 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.991 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
0.991 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
0.991 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.991 * [taylor]: Taking taylor expansion of 1/2 in im
0.992 * [backup-simplify]: Simplify 1/2 into 1/2
0.992 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.992 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.992 * [taylor]: Taking taylor expansion of 2.0 in im
0.992 * [backup-simplify]: Simplify 2.0 into 2.0
0.992 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.993 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.993 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.993 * [taylor]: Taking taylor expansion of im in im
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 1 into 1
0.994 * [backup-simplify]: Simplify (/ 1 1) into 1
0.995 * [backup-simplify]: Simplify (sqrt 0) into 0
0.997 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.002 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.003 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.006 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
1.009 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
1.009 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
1.015 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
1.017 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
1.019 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.022 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.028 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
1.029 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.037 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
1.038 * [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))))
1.038 * [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
1.038 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
1.038 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.038 * [taylor]: Taking taylor expansion of 2.0 in im
1.038 * [backup-simplify]: Simplify 2.0 into 2.0
1.039 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.039 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
1.039 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
1.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.039 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.040 * [taylor]: Taking taylor expansion of re in im
1.040 * [backup-simplify]: Simplify re into re
1.040 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.040 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.040 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.040 * [taylor]: Taking taylor expansion of im in im
1.040 * [backup-simplify]: Simplify 0 into 0
1.040 * [backup-simplify]: Simplify 1 into 1
1.040 * [backup-simplify]: Simplify (* 1 1) into 1
1.041 * [backup-simplify]: Simplify (/ 1 1) into 1
1.041 * [backup-simplify]: Simplify (+ 0 1) into 1
1.042 * [backup-simplify]: Simplify (sqrt 1) into 1
1.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.043 * [backup-simplify]: Simplify (+ 0 0) into 0
1.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.044 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.044 * [taylor]: Taking taylor expansion of re in im
1.044 * [backup-simplify]: Simplify re into re
1.044 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.045 * [backup-simplify]: Simplify (+ 1 0) into 1
1.045 * [backup-simplify]: Simplify (sqrt 0) into 0
1.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.047 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
1.047 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
1.047 * [taylor]: Taking taylor expansion of 2.0 in re
1.047 * [backup-simplify]: Simplify 2.0 into 2.0
1.047 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.048 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
1.048 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
1.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.048 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.048 * [taylor]: Taking taylor expansion of re in re
1.048 * [backup-simplify]: Simplify 0 into 0
1.048 * [backup-simplify]: Simplify 1 into 1
1.048 * [backup-simplify]: Simplify (* 1 1) into 1
1.049 * [backup-simplify]: Simplify (/ 1 1) into 1
1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.049 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.049 * [taylor]: Taking taylor expansion of im in re
1.049 * [backup-simplify]: Simplify im into im
1.049 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.049 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.050 * [backup-simplify]: Simplify (+ 1 0) into 1
1.050 * [backup-simplify]: Simplify (sqrt 1) into 1
1.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.052 * [backup-simplify]: Simplify (+ 0 0) into 0
1.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.053 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.053 * [taylor]: Taking taylor expansion of re in re
1.053 * [backup-simplify]: Simplify 0 into 0
1.053 * [backup-simplify]: Simplify 1 into 1
1.053 * [backup-simplify]: Simplify (/ 1 1) into 1
1.053 * [backup-simplify]: Simplify (- 1) into -1
1.054 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.055 * [backup-simplify]: Simplify (- 0) into 0
1.055 * [backup-simplify]: Simplify (+ 0 0) into 0
1.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.057 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.059 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.060 * [backup-simplify]: Simplify (- 0) into 0
1.060 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.061 * [backup-simplify]: Simplify (sqrt 0) into 0
1.061 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
1.062 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
1.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
1.062 * [taylor]: Taking taylor expansion of 2.0 in re
1.062 * [backup-simplify]: Simplify 2.0 into 2.0
1.062 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.063 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
1.063 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
1.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.063 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.063 * [taylor]: Taking taylor expansion of re in re
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [backup-simplify]: Simplify 1 into 1
1.063 * [backup-simplify]: Simplify (* 1 1) into 1
1.064 * [backup-simplify]: Simplify (/ 1 1) into 1
1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.064 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.064 * [taylor]: Taking taylor expansion of im in re
1.064 * [backup-simplify]: Simplify im into im
1.064 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.064 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.065 * [backup-simplify]: Simplify (+ 1 0) into 1
1.065 * [backup-simplify]: Simplify (sqrt 1) into 1
1.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.067 * [backup-simplify]: Simplify (+ 0 0) into 0
1.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.068 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.068 * [taylor]: Taking taylor expansion of re in re
1.068 * [backup-simplify]: Simplify 0 into 0
1.068 * [backup-simplify]: Simplify 1 into 1
1.068 * [backup-simplify]: Simplify (/ 1 1) into 1
1.068 * [backup-simplify]: Simplify (- 1) into -1
1.069 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.070 * [backup-simplify]: Simplify (- 0) into 0
1.070 * [backup-simplify]: Simplify (+ 0 0) into 0
1.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.072 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.074 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.075 * [backup-simplify]: Simplify (- 0) into 0
1.075 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.076 * [backup-simplify]: Simplify (sqrt 0) into 0
1.077 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
1.077 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
1.077 * [taylor]: Taking taylor expansion of 0 in im
1.077 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
1.078 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
1.078 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
1.078 * [taylor]: Taking taylor expansion of +nan.0 in im
1.078 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.079 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
1.079 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.079 * [taylor]: Taking taylor expansion of 2.0 in im
1.079 * [backup-simplify]: Simplify 2.0 into 2.0
1.079 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.080 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.080 * [taylor]: Taking taylor expansion of im in im
1.080 * [backup-simplify]: Simplify 0 into 0
1.080 * [backup-simplify]: Simplify 1 into 1
1.080 * [backup-simplify]: Simplify (* 1 1) into 1
1.081 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.084 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
1.084 * [backup-simplify]: Simplify (- 0) into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.086 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.087 * [backup-simplify]: Simplify (+ 0 0) into 0
1.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.089 * [backup-simplify]: Simplify (- 0) into 0
1.089 * [backup-simplify]: Simplify (+ 0 0) into 0
1.090 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
1.092 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.093 * [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))))
1.093 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
1.093 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
1.093 * [taylor]: Taking taylor expansion of +nan.0 in im
1.093 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.093 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
1.093 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.093 * [taylor]: Taking taylor expansion of 2.0 in im
1.093 * [backup-simplify]: Simplify 2.0 into 2.0
1.094 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.094 * [taylor]: Taking taylor expansion of (pow im 4) in im
1.095 * [taylor]: Taking taylor expansion of im in im
1.095 * [backup-simplify]: Simplify 0 into 0
1.095 * [backup-simplify]: Simplify 1 into 1
1.095 * [backup-simplify]: Simplify (* 1 1) into 1
1.096 * [backup-simplify]: Simplify (* 1 1) into 1
1.097 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.098 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.109 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
1.109 * [backup-simplify]: Simplify (- 0) into 0
1.109 * [backup-simplify]: Simplify 0 into 0
1.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.113 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
1.114 * [backup-simplify]: Simplify (- 0) into 0
1.114 * [backup-simplify]: Simplify 0 into 0
1.114 * [backup-simplify]: Simplify 0 into 0
1.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.117 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
1.118 * [backup-simplify]: Simplify (+ 0 0) into 0
1.119 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.120 * [backup-simplify]: Simplify (- 0) into 0
1.121 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
1.122 * [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)))))
1.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.124 * [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))))))
1.125 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
1.125 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
1.125 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
1.125 * [taylor]: Taking taylor expansion of +nan.0 in im
1.125 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.125 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
1.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.125 * [taylor]: Taking taylor expansion of 2.0 in im
1.125 * [backup-simplify]: Simplify 2.0 into 2.0
1.125 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.126 * [taylor]: Taking taylor expansion of (pow im 4) in im
1.126 * [taylor]: Taking taylor expansion of im in im
1.126 * [backup-simplify]: Simplify 0 into 0
1.126 * [backup-simplify]: Simplify 1 into 1
1.127 * [backup-simplify]: Simplify (* 1 1) into 1
1.127 * [backup-simplify]: Simplify (* 1 1) into 1
1.128 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.128 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
1.128 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
1.128 * [taylor]: Taking taylor expansion of +nan.0 in im
1.128 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.128 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
1.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.128 * [taylor]: Taking taylor expansion of 2.0 in im
1.128 * [backup-simplify]: Simplify 2.0 into 2.0
1.129 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.129 * [taylor]: Taking taylor expansion of (pow im 6) in im
1.129 * [taylor]: Taking taylor expansion of im in im
1.129 * [backup-simplify]: Simplify 0 into 0
1.129 * [backup-simplify]: Simplify 1 into 1
1.130 * [backup-simplify]: Simplify (* 1 1) into 1
1.131 * [backup-simplify]: Simplify (* 1 1) into 1
1.132 * [backup-simplify]: Simplify (* 1 1) into 1
1.133 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.134 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.146 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
1.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.149 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.174 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
1.175 * [backup-simplify]: Simplify (- 0) into 0
1.175 * [backup-simplify]: Simplify (+ 0 0) into 0
1.176 * [backup-simplify]: Simplify (- 0) into 0
1.176 * [backup-simplify]: Simplify 0 into 0
1.176 * [backup-simplify]: Simplify 0 into 0
1.176 * [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)))))))
1.177 * [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
1.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
1.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.177 * [taylor]: Taking taylor expansion of 2.0 in im
1.177 * [backup-simplify]: Simplify 2.0 into 2.0
1.177 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
1.178 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.178 * [taylor]: Taking taylor expansion of re in im
1.178 * [backup-simplify]: Simplify re into re
1.178 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.178 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.178 * [taylor]: Taking taylor expansion of re in im
1.178 * [backup-simplify]: Simplify re into re
1.178 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.179 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.179 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.179 * [taylor]: Taking taylor expansion of im in im
1.179 * [backup-simplify]: Simplify 0 into 0
1.179 * [backup-simplify]: Simplify 1 into 1
1.179 * [backup-simplify]: Simplify (* 1 1) into 1
1.179 * [backup-simplify]: Simplify (/ 1 1) into 1
1.180 * [backup-simplify]: Simplify (+ 0 1) into 1
1.180 * [backup-simplify]: Simplify (sqrt 1) into 1
1.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.182 * [backup-simplify]: Simplify (+ 0 0) into 0
1.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.186 * [backup-simplify]: Simplify (+ 0 1) into 1
1.187 * [backup-simplify]: Simplify (sqrt 0) into 0
1.188 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.188 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
1.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
1.188 * [taylor]: Taking taylor expansion of 2.0 in re
1.188 * [backup-simplify]: Simplify 2.0 into 2.0
1.189 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
1.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.190 * [taylor]: Taking taylor expansion of re in re
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify 1 into 1
1.190 * [backup-simplify]: Simplify (/ 1 1) into 1
1.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.190 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.190 * [taylor]: Taking taylor expansion of re in re
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify 1 into 1
1.191 * [backup-simplify]: Simplify (* 1 1) into 1
1.191 * [backup-simplify]: Simplify (/ 1 1) into 1
1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.191 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.191 * [taylor]: Taking taylor expansion of im in re
1.191 * [backup-simplify]: Simplify im into im
1.192 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.192 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.192 * [backup-simplify]: Simplify (+ 1 0) into 1
1.193 * [backup-simplify]: Simplify (sqrt 1) into 1
1.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.194 * [backup-simplify]: Simplify (+ 0 0) into 0
1.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.195 * [backup-simplify]: Simplify (+ 1 1) into 2
1.196 * [backup-simplify]: Simplify (sqrt 0) into 0
1.197 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
1.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
1.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
1.197 * [taylor]: Taking taylor expansion of 2.0 in re
1.197 * [backup-simplify]: Simplify 2.0 into 2.0
1.198 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
1.199 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
1.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.199 * [taylor]: Taking taylor expansion of re in re
1.199 * [backup-simplify]: Simplify 0 into 0
1.199 * [backup-simplify]: Simplify 1 into 1
1.199 * [backup-simplify]: Simplify (/ 1 1) into 1
1.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.199 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.199 * [taylor]: Taking taylor expansion of re in re
1.199 * [backup-simplify]: Simplify 0 into 0
1.199 * [backup-simplify]: Simplify 1 into 1
1.200 * [backup-simplify]: Simplify (* 1 1) into 1
1.200 * [backup-simplify]: Simplify (/ 1 1) into 1
1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.200 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.200 * [taylor]: Taking taylor expansion of im in re
1.200 * [backup-simplify]: Simplify im into im
1.200 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.201 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.201 * [backup-simplify]: Simplify (+ 1 0) into 1
1.201 * [backup-simplify]: Simplify (sqrt 1) into 1
1.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.203 * [backup-simplify]: Simplify (+ 0 0) into 0
1.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.204 * [backup-simplify]: Simplify (+ 1 1) into 2
1.205 * [backup-simplify]: Simplify (sqrt 0) into 0
1.205 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
1.206 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
1.206 * [taylor]: Taking taylor expansion of 0 in im
1.206 * [backup-simplify]: Simplify 0 into 0
1.207 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
1.207 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
1.207 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
1.207 * [taylor]: Taking taylor expansion of +nan.0 in im
1.207 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.207 * [taylor]: Taking taylor expansion of 2.0 in im
1.207 * [backup-simplify]: Simplify 2.0 into 2.0
1.208 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.208 * [backup-simplify]: Simplify 0 into 0
1.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.209 * [backup-simplify]: Simplify (+ 0 0) into 0
1.211 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.211 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.213 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
1.213 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
1.213 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
1.213 * [taylor]: Taking taylor expansion of +nan.0 in im
1.213 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.213 * [taylor]: Taking taylor expansion of 2.0 in im
1.213 * [backup-simplify]: Simplify 2.0 into 2.0
1.213 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.214 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
1.215 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.216 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.216 * [backup-simplify]: Simplify 0 into 0
1.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.218 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.219 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.219 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
1.220 * [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))
1.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.222 * [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))))))
1.222 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
1.222 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
1.222 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
1.222 * [taylor]: Taking taylor expansion of +nan.0 in im
1.222 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.222 * [taylor]: Taking taylor expansion of 2.0 in im
1.222 * [backup-simplify]: Simplify 2.0 into 2.0
1.222 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.223 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
1.223 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
1.223 * [taylor]: Taking taylor expansion of +nan.0 in im
1.223 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.223 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
1.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.223 * [taylor]: Taking taylor expansion of 2.0 in im
1.223 * [backup-simplify]: Simplify 2.0 into 2.0
1.223 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.224 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.224 * [taylor]: Taking taylor expansion of im in im
1.224 * [backup-simplify]: Simplify 0 into 0
1.224 * [backup-simplify]: Simplify 1 into 1
1.224 * [backup-simplify]: Simplify (* 1 1) into 1
1.224 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.226 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
1.226 * [backup-simplify]: Simplify (- 0) into 0
1.226 * [backup-simplify]: Simplify (+ 0 0) into 0
1.227 * [backup-simplify]: Simplify (- 0) into 0
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
1.228 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.229 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.230 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
1.230 * [backup-simplify]: Simplify (- 0) into 0
1.230 * [backup-simplify]: Simplify 0 into 0
1.230 * [backup-simplify]: Simplify 0 into 0
1.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.232 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.233 * [backup-simplify]: Simplify (+ 0 0) into 0
1.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.233 * [backup-simplify]: Simplify (+ 0 0) into 0
1.234 * [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)))
1.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.236 * [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))))))
1.236 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
1.236 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
1.237 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
1.237 * [taylor]: Taking taylor expansion of +nan.0 in im
1.237 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.237 * [taylor]: Taking taylor expansion of 2.0 in im
1.237 * [backup-simplify]: Simplify 2.0 into 2.0
1.237 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.238 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
1.238 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
1.238 * [taylor]: Taking taylor expansion of +nan.0 in im
1.238 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.238 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
1.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.238 * [taylor]: Taking taylor expansion of 2.0 in im
1.238 * [backup-simplify]: Simplify 2.0 into 2.0
1.238 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.239 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.239 * [taylor]: Taking taylor expansion of im in im
1.239 * [backup-simplify]: Simplify 0 into 0
1.239 * [backup-simplify]: Simplify 1 into 1
1.240 * [backup-simplify]: Simplify (* 1 1) into 1
1.241 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.244 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
1.244 * [backup-simplify]: Simplify (- 0) into 0
1.245 * [backup-simplify]: Simplify (+ 0 0) into 0
1.245 * [backup-simplify]: Simplify (- 0) into 0
1.245 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
1.248 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.251 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
1.252 * [backup-simplify]: Simplify (- 0) into 0
1.253 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
1.256 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
1.257 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.262 * [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))))))))
1.263 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
1.263 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
1.263 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
1.263 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.263 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.263 * [taylor]: Taking taylor expansion of im in im
1.263 * [backup-simplify]: Simplify 0 into 0
1.263 * [backup-simplify]: Simplify 1 into 1
1.263 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.263 * [taylor]: Taking taylor expansion of re in im
1.263 * [backup-simplify]: Simplify re into re
1.263 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.263 * [taylor]: Taking taylor expansion of im in re
1.263 * [backup-simplify]: Simplify im into im
1.263 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.263 * [taylor]: Taking taylor expansion of re in re
1.263 * [backup-simplify]: Simplify 0 into 0
1.263 * [backup-simplify]: Simplify 1 into 1
1.263 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.263 * [taylor]: Taking taylor expansion of im in re
1.263 * [backup-simplify]: Simplify im into im
1.264 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.264 * [taylor]: Taking taylor expansion of re in re
1.264 * [backup-simplify]: Simplify 0 into 0
1.264 * [backup-simplify]: Simplify 1 into 1
1.264 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.264 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.264 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.264 * [taylor]: Taking taylor expansion of im in im
1.264 * [backup-simplify]: Simplify 0 into 0
1.264 * [backup-simplify]: Simplify 1 into 1
1.264 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.265 * [backup-simplify]: Simplify (+ 0 0) into 0
1.265 * [taylor]: Taking taylor expansion of 0 in im
1.265 * [backup-simplify]: Simplify 0 into 0
1.265 * [backup-simplify]: Simplify 0 into 0
1.265 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.266 * [backup-simplify]: Simplify (* 1 1) into 1
1.266 * [backup-simplify]: Simplify (+ 0 1) into 1
1.266 * [taylor]: Taking taylor expansion of 1 in im
1.266 * [backup-simplify]: Simplify 1 into 1
1.266 * [backup-simplify]: Simplify 1 into 1
1.266 * [backup-simplify]: Simplify 0 into 0
1.267 * [backup-simplify]: Simplify (* 1 1) into 1
1.267 * [backup-simplify]: Simplify 1 into 1
1.267 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.268 * [backup-simplify]: Simplify (+ 0 0) into 0
1.268 * [taylor]: Taking taylor expansion of 0 in im
1.269 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.269 * [backup-simplify]: Simplify 0 into 0
1.271 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
1.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.272 * [backup-simplify]: Simplify (+ 0 0) into 0
1.272 * [taylor]: Taking taylor expansion of 0 in im
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
1.273 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
1.273 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.273 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.273 * [taylor]: Taking taylor expansion of re in im
1.273 * [backup-simplify]: Simplify re into re
1.273 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.273 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.273 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.273 * [taylor]: Taking taylor expansion of im in im
1.273 * [backup-simplify]: Simplify 0 into 0
1.273 * [backup-simplify]: Simplify 1 into 1
1.274 * [backup-simplify]: Simplify (* 1 1) into 1
1.274 * [backup-simplify]: Simplify (/ 1 1) into 1
1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.274 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.274 * [taylor]: Taking taylor expansion of re in re
1.274 * [backup-simplify]: Simplify 0 into 0
1.274 * [backup-simplify]: Simplify 1 into 1
1.275 * [backup-simplify]: Simplify (* 1 1) into 1
1.275 * [backup-simplify]: Simplify (/ 1 1) into 1
1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.275 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.275 * [taylor]: Taking taylor expansion of im in re
1.275 * [backup-simplify]: Simplify im into im
1.275 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.275 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.275 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.275 * [taylor]: Taking taylor expansion of re in re
1.275 * [backup-simplify]: Simplify 0 into 0
1.275 * [backup-simplify]: Simplify 1 into 1
1.276 * [backup-simplify]: Simplify (* 1 1) into 1
1.276 * [backup-simplify]: Simplify (/ 1 1) into 1
1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.276 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.276 * [taylor]: Taking taylor expansion of im in re
1.276 * [backup-simplify]: Simplify im into im
1.276 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.277 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.277 * [backup-simplify]: Simplify (+ 1 0) into 1
1.277 * [taylor]: Taking taylor expansion of 1 in im
1.277 * [backup-simplify]: Simplify 1 into 1
1.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.279 * [backup-simplify]: Simplify (+ 0 0) into 0
1.279 * [taylor]: Taking taylor expansion of 0 in im
1.279 * [backup-simplify]: Simplify 0 into 0
1.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.281 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.281 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.281 * [taylor]: Taking taylor expansion of im in im
1.281 * [backup-simplify]: Simplify 0 into 0
1.282 * [backup-simplify]: Simplify 1 into 1
1.282 * [backup-simplify]: Simplify (* 1 1) into 1
1.282 * [backup-simplify]: Simplify (/ 1 1) into 1
1.282 * [backup-simplify]: Simplify 1 into 1
1.282 * [backup-simplify]: Simplify 1 into 1
1.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.284 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.285 * [backup-simplify]: Simplify (+ 0 0) into 0
1.285 * [taylor]: Taking taylor expansion of 0 in im
1.285 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.289 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
1.290 * [backup-simplify]: Simplify (+ 0 0) into 0
1.290 * [taylor]: Taking taylor expansion of 0 in im
1.290 * [backup-simplify]: Simplify 0 into 0
1.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.292 * [backup-simplify]: Simplify 0 into 0
1.292 * [backup-simplify]: Simplify 0 into 0
1.292 * [backup-simplify]: Simplify 0 into 0
1.293 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
1.293 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
1.293 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.293 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.293 * [taylor]: Taking taylor expansion of re in im
1.293 * [backup-simplify]: Simplify re into re
1.293 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.294 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.294 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.294 * [taylor]: Taking taylor expansion of im in im
1.294 * [backup-simplify]: Simplify 0 into 0
1.294 * [backup-simplify]: Simplify 1 into 1
1.294 * [backup-simplify]: Simplify (* 1 1) into 1
1.295 * [backup-simplify]: Simplify (/ 1 1) into 1
1.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.295 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.295 * [taylor]: Taking taylor expansion of re in re
1.295 * [backup-simplify]: Simplify 0 into 0
1.295 * [backup-simplify]: Simplify 1 into 1
1.295 * [backup-simplify]: Simplify (* 1 1) into 1
1.295 * [backup-simplify]: Simplify (/ 1 1) into 1
1.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.295 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.296 * [taylor]: Taking taylor expansion of im in re
1.296 * [backup-simplify]: Simplify im into im
1.296 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.296 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.296 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.296 * [taylor]: Taking taylor expansion of re in re
1.296 * [backup-simplify]: Simplify 0 into 0
1.296 * [backup-simplify]: Simplify 1 into 1
1.296 * [backup-simplify]: Simplify (* 1 1) into 1
1.297 * [backup-simplify]: Simplify (/ 1 1) into 1
1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.297 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.297 * [taylor]: Taking taylor expansion of im in re
1.297 * [backup-simplify]: Simplify im into im
1.297 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.297 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.298 * [backup-simplify]: Simplify (+ 1 0) into 1
1.298 * [taylor]: Taking taylor expansion of 1 in im
1.298 * [backup-simplify]: Simplify 1 into 1
1.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.299 * [backup-simplify]: Simplify (+ 0 0) into 0
1.299 * [taylor]: Taking taylor expansion of 0 in im
1.299 * [backup-simplify]: Simplify 0 into 0
1.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.301 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.301 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.301 * [taylor]: Taking taylor expansion of im in im
1.302 * [backup-simplify]: Simplify 0 into 0
1.302 * [backup-simplify]: Simplify 1 into 1
1.302 * [backup-simplify]: Simplify (* 1 1) into 1
1.302 * [backup-simplify]: Simplify (/ 1 1) into 1
1.302 * [backup-simplify]: Simplify 1 into 1
1.302 * [backup-simplify]: Simplify 1 into 1
1.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.305 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.306 * [backup-simplify]: Simplify (+ 0 0) into 0
1.306 * [taylor]: Taking taylor expansion of 0 in im
1.306 * [backup-simplify]: Simplify 0 into 0
1.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.307 * [backup-simplify]: Simplify 0 into 0
1.307 * [backup-simplify]: Simplify 0 into 0
1.307 * [backup-simplify]: Simplify 0 into 0
1.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.310 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
1.311 * [backup-simplify]: Simplify (+ 0 0) into 0
1.311 * [taylor]: Taking taylor expansion of 0 in im
1.311 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.312 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify 0 into 0
1.313 * [backup-simplify]: Simplify 0 into 0
1.313 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
1.313 * * * [progress]: simplifying candidates
1.316 * [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)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
  0
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
1.317 * * [simplify]: iteration 0: 114 enodes
1.339 * * [simplify]: iteration 1: 276 enodes
1.527 * * [simplify]: iteration 2: 1261 enodes
1.942 * * [simplify]: iteration complete: 5001 enodes
1.942 * * [simplify]: Extracting #0: cost 57 inf + 0
1.943 * * [simplify]: Extracting #1: cost 394 inf + 5
1.951 * * [simplify]: Extracting #2: cost 1726 inf + 5164
1.992 * * [simplify]: Extracting #3: cost 1377 inf + 119491
2.059 * * [simplify]: Extracting #4: cost 201 inf + 316912
2.123 * * [simplify]: Extracting #5: cost 63 inf + 350194
2.221 * * [simplify]: Extracting #6: cost 9 inf + 360900
2.322 * * [simplify]: Extracting #7: cost 0 inf + 363497
2.408 * [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))) (* (* re re) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (* (- re im) (+ im re)))
  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))
  (- re)
  (+ (* im im) 0)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (+ (* im im) (* re re))) re)
  (- re)
  (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)) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (* 2.0 (+ (* im im) 0)))
  (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)))
  (exp (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (* (+ (* im im) (* re re)) (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (* (* re (* re re)) (* re (* re re))) (* (* im (* im im)) (* im (* im im))))
  (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))
  (* (+ (* re re) (* im im)) (- (* re re) (* im im)))
  (* (- re im) (+ im re))
  im
  re
  (- re)
  (- im re)
  0
  (* re -2)
  (* (* (sqrt 2.0) +nan.0) (+ (- (* im im) im) (- (* re im))))
  0
  (+ (- (* (sqrt 2.0) +nan.0)) (* (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re))))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
2.418 * * * [progress]: adding candidates to table
2.895 * * [progress]: iteration 2 / 4
2.895 * * * [progress]: picking best candidate
2.933 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
2.933 * * * [progress]: localizing error
2.963 * * * [progress]: generating rewritten candidates
2.963 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1)
2.970 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
3.049 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1)
3.067 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
3.138 * * * [progress]: generating series expansions
3.138 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1)
3.138 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.138 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.138 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.138 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.138 * [taylor]: Taking taylor expansion of im in im
3.138 * [backup-simplify]: Simplify 0 into 0
3.138 * [backup-simplify]: Simplify 1 into 1
3.138 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.138 * [taylor]: Taking taylor expansion of re in im
3.138 * [backup-simplify]: Simplify re into re
3.138 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.139 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.139 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.139 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.140 * [backup-simplify]: Simplify (+ 0 0) into 0
3.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.140 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.140 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.140 * [taylor]: Taking taylor expansion of im in re
3.140 * [backup-simplify]: Simplify im into im
3.140 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.140 * [taylor]: Taking taylor expansion of re in re
3.140 * [backup-simplify]: Simplify 0 into 0
3.140 * [backup-simplify]: Simplify 1 into 1
3.140 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.141 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.141 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.141 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.141 * [backup-simplify]: Simplify (+ 0 0) into 0
3.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.142 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.142 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.142 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.142 * [taylor]: Taking taylor expansion of im in re
3.142 * [backup-simplify]: Simplify im into im
3.142 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.142 * [taylor]: Taking taylor expansion of re in re
3.142 * [backup-simplify]: Simplify 0 into 0
3.142 * [backup-simplify]: Simplify 1 into 1
3.142 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.142 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.142 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.142 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.143 * [backup-simplify]: Simplify (+ 0 0) into 0
3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.143 * [taylor]: Taking taylor expansion of im in im
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 1 into 1
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [taylor]: Taking taylor expansion of 0 in im
3.143 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 1 into 1
3.144 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.144 * [backup-simplify]: Simplify (* 1 1) into 1
3.145 * [backup-simplify]: Simplify (+ 0 1) into 1
3.145 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.145 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.145 * [taylor]: Taking taylor expansion of 1/2 in im
3.145 * [backup-simplify]: Simplify 1/2 into 1/2
3.145 * [taylor]: Taking taylor expansion of im in im
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 1 into 1
3.145 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.147 * [backup-simplify]: Simplify (+ 0 0) into 0
3.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.147 * [taylor]: Taking taylor expansion of 0 in im
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.148 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.148 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.148 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.148 * [taylor]: Taking taylor expansion of re in im
3.148 * [backup-simplify]: Simplify re into re
3.148 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.149 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.149 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.149 * [taylor]: Taking taylor expansion of im in im
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify 1 into 1
3.149 * [backup-simplify]: Simplify (* 1 1) into 1
3.149 * [backup-simplify]: Simplify (/ 1 1) into 1
3.149 * [backup-simplify]: Simplify (+ 0 1) into 1
3.150 * [backup-simplify]: Simplify (sqrt 1) into 1
3.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.151 * [backup-simplify]: Simplify (+ 0 0) into 0
3.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.151 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.151 * [taylor]: Taking taylor expansion of re in re
3.151 * [backup-simplify]: Simplify 0 into 0
3.151 * [backup-simplify]: Simplify 1 into 1
3.151 * [backup-simplify]: Simplify (* 1 1) into 1
3.152 * [backup-simplify]: Simplify (/ 1 1) into 1
3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.152 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.152 * [taylor]: Taking taylor expansion of im in re
3.152 * [backup-simplify]: Simplify im into im
3.152 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.152 * [backup-simplify]: Simplify (+ 1 0) into 1
3.152 * [backup-simplify]: Simplify (sqrt 1) into 1
3.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.153 * [backup-simplify]: Simplify (+ 0 0) into 0
3.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.154 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.154 * [taylor]: Taking taylor expansion of re in re
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 1 into 1
3.154 * [backup-simplify]: Simplify (* 1 1) into 1
3.154 * [backup-simplify]: Simplify (/ 1 1) into 1
3.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.154 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.154 * [taylor]: Taking taylor expansion of im in re
3.154 * [backup-simplify]: Simplify im into im
3.154 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.155 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.155 * [backup-simplify]: Simplify (+ 1 0) into 1
3.155 * [backup-simplify]: Simplify (sqrt 1) into 1
3.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.156 * [backup-simplify]: Simplify (+ 0 0) into 0
3.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.157 * [taylor]: Taking taylor expansion of 1 in im
3.157 * [backup-simplify]: Simplify 1 into 1
3.157 * [taylor]: Taking taylor expansion of 0 in im
3.157 * [backup-simplify]: Simplify 0 into 0
3.157 * [backup-simplify]: Simplify 1 into 1
3.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.158 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.159 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.159 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.159 * [taylor]: Taking taylor expansion of 1/2 in im
3.159 * [backup-simplify]: Simplify 1/2 into 1/2
3.159 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.159 * [taylor]: Taking taylor expansion of im in im
3.159 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify 1 into 1
3.159 * [backup-simplify]: Simplify (* 1 1) into 1
3.159 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.162 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.162 * [backup-simplify]: Simplify (+ 0 0) into 0
3.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.162 * [taylor]: Taking taylor expansion of 0 in im
3.162 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.164 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.164 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.164 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.164 * [taylor]: Taking taylor expansion of re in im
3.164 * [backup-simplify]: Simplify re into re
3.164 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.164 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.164 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.164 * [taylor]: Taking taylor expansion of im in im
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 1 into 1
3.164 * [backup-simplify]: Simplify (* 1 1) into 1
3.165 * [backup-simplify]: Simplify (/ 1 1) into 1
3.165 * [backup-simplify]: Simplify (+ 0 1) into 1
3.165 * [backup-simplify]: Simplify (sqrt 1) into 1
3.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.166 * [backup-simplify]: Simplify (+ 0 0) into 0
3.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.167 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.167 * [taylor]: Taking taylor expansion of re in re
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 1 into 1
3.167 * [backup-simplify]: Simplify (* 1 1) into 1
3.167 * [backup-simplify]: Simplify (/ 1 1) into 1
3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.167 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.167 * [taylor]: Taking taylor expansion of im in re
3.167 * [backup-simplify]: Simplify im into im
3.167 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.167 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.168 * [backup-simplify]: Simplify (+ 1 0) into 1
3.168 * [backup-simplify]: Simplify (sqrt 1) into 1
3.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.169 * [backup-simplify]: Simplify (+ 0 0) into 0
3.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.170 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.170 * [taylor]: Taking taylor expansion of re in re
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 1 into 1
3.170 * [backup-simplify]: Simplify (* 1 1) into 1
3.170 * [backup-simplify]: Simplify (/ 1 1) into 1
3.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.170 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.170 * [taylor]: Taking taylor expansion of im in re
3.170 * [backup-simplify]: Simplify im into im
3.170 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.170 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.171 * [backup-simplify]: Simplify (+ 1 0) into 1
3.171 * [backup-simplify]: Simplify (sqrt 1) into 1
3.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.172 * [backup-simplify]: Simplify (+ 0 0) into 0
3.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.172 * [taylor]: Taking taylor expansion of 1 in im
3.172 * [backup-simplify]: Simplify 1 into 1
3.172 * [taylor]: Taking taylor expansion of 0 in im
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 1 into 1
3.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.174 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.176 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.176 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.176 * [taylor]: Taking taylor expansion of 1/2 in im
3.176 * [backup-simplify]: Simplify 1/2 into 1/2
3.176 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.176 * [taylor]: Taking taylor expansion of im in im
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify 1 into 1
3.176 * [backup-simplify]: Simplify (* 1 1) into 1
3.176 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.181 * [backup-simplify]: Simplify (+ 0 0) into 0
3.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.181 * [taylor]: Taking taylor expansion of 0 in im
3.181 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.183 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.183 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
3.184 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
3.184 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
3.184 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.184 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.184 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.184 * [taylor]: Taking taylor expansion of im in im
3.184 * [backup-simplify]: Simplify 0 into 0
3.184 * [backup-simplify]: Simplify 1 into 1
3.184 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.184 * [taylor]: Taking taylor expansion of re in im
3.184 * [backup-simplify]: Simplify re into re
3.184 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.184 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.184 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.184 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.185 * [backup-simplify]: Simplify (+ 0 0) into 0
3.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.185 * [taylor]: Taking taylor expansion of re in im
3.185 * [backup-simplify]: Simplify re into re
3.185 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.185 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.185 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.185 * [taylor]: Taking taylor expansion of im in re
3.185 * [backup-simplify]: Simplify im into im
3.185 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.185 * [taylor]: Taking taylor expansion of re in re
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 1 into 1
3.185 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.185 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.186 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.186 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.186 * [backup-simplify]: Simplify (+ 0 0) into 0
3.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.186 * [taylor]: Taking taylor expansion of re in re
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 1 into 1
3.186 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.186 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.186 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.186 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.186 * [taylor]: Taking taylor expansion of im in re
3.186 * [backup-simplify]: Simplify im into im
3.186 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.186 * [taylor]: Taking taylor expansion of re in re
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 1 into 1
3.187 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.187 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.187 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.187 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.187 * [backup-simplify]: Simplify (+ 0 0) into 0
3.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.187 * [taylor]: Taking taylor expansion of re in re
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 1 into 1
3.188 * [backup-simplify]: Simplify (- 0) into 0
3.188 * [backup-simplify]: Simplify (+ im 0) into im
3.188 * [taylor]: Taking taylor expansion of im in im
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 1 into 1
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify (- 1) into -1
3.189 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.189 * [taylor]: Taking taylor expansion of -1 in im
3.189 * [backup-simplify]: Simplify -1 into -1
3.189 * [backup-simplify]: Simplify -1 into -1
3.189 * [backup-simplify]: Simplify 1 into 1
3.189 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.190 * [backup-simplify]: Simplify (* 1 1) into 1
3.190 * [backup-simplify]: Simplify (+ 0 1) into 1
3.191 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.191 * [backup-simplify]: Simplify (- 0) into 0
3.191 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.191 * [taylor]: Taking taylor expansion of 1/2 in im
3.191 * [backup-simplify]: Simplify 1/2 into 1/2
3.191 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.191 * [taylor]: Taking taylor expansion of im in im
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 1 into 1
3.192 * [backup-simplify]: Simplify (/ 1 1) into 1
3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.195 * [backup-simplify]: Simplify (+ 0 0) into 0
3.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.196 * [backup-simplify]: Simplify (- 0) into 0
3.196 * [backup-simplify]: Simplify (+ 0 0) into 0
3.196 * [taylor]: Taking taylor expansion of 0 in im
3.196 * [backup-simplify]: Simplify 0 into 0
3.196 * [backup-simplify]: Simplify 0 into 0
3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
3.199 * [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))
3.199 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
3.199 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.199 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.199 * [taylor]: Taking taylor expansion of re in im
3.199 * [backup-simplify]: Simplify re into re
3.199 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.199 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.199 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.199 * [taylor]: Taking taylor expansion of im in im
3.199 * [backup-simplify]: Simplify 0 into 0
3.199 * [backup-simplify]: Simplify 1 into 1
3.200 * [backup-simplify]: Simplify (* 1 1) into 1
3.200 * [backup-simplify]: Simplify (/ 1 1) into 1
3.200 * [backup-simplify]: Simplify (+ 0 1) into 1
3.201 * [backup-simplify]: Simplify (sqrt 1) into 1
3.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.203 * [backup-simplify]: Simplify (+ 0 0) into 0
3.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.203 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.203 * [taylor]: Taking taylor expansion of re in im
3.203 * [backup-simplify]: Simplify re into re
3.203 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.203 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.204 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.204 * [taylor]: Taking taylor expansion of re in re
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify 1 into 1
3.204 * [backup-simplify]: Simplify (* 1 1) into 1
3.204 * [backup-simplify]: Simplify (/ 1 1) into 1
3.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.204 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.204 * [taylor]: Taking taylor expansion of im in re
3.204 * [backup-simplify]: Simplify im into im
3.205 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.205 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.205 * [backup-simplify]: Simplify (+ 1 0) into 1
3.205 * [backup-simplify]: Simplify (sqrt 1) into 1
3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.207 * [backup-simplify]: Simplify (+ 0 0) into 0
3.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.208 * [taylor]: Taking taylor expansion of re in re
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify (/ 1 1) into 1
3.208 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.209 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.209 * [taylor]: Taking taylor expansion of re in re
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.209 * [backup-simplify]: Simplify (* 1 1) into 1
3.210 * [backup-simplify]: Simplify (/ 1 1) into 1
3.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.210 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.210 * [taylor]: Taking taylor expansion of im in re
3.210 * [backup-simplify]: Simplify im into im
3.210 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.210 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.211 * [backup-simplify]: Simplify (+ 1 0) into 1
3.212 * [backup-simplify]: Simplify (sqrt 1) into 1
3.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.213 * [backup-simplify]: Simplify (+ 0 0) into 0
3.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.214 * [taylor]: Taking taylor expansion of re in re
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 1 into 1
3.215 * [backup-simplify]: Simplify (/ 1 1) into 1
3.215 * [backup-simplify]: Simplify (- 1) into -1
3.215 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.216 * [taylor]: Taking taylor expansion of 0 in im
3.216 * [backup-simplify]: Simplify 0 into 0
3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.217 * [backup-simplify]: Simplify (- 0) into 0
3.217 * [backup-simplify]: Simplify (+ 0 0) into 0
3.217 * [taylor]: Taking taylor expansion of 0 in im
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.219 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.220 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.222 * [backup-simplify]: Simplify (- 0) into 0
3.222 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.222 * [taylor]: Taking taylor expansion of 1/2 in im
3.222 * [backup-simplify]: Simplify 1/2 into 1/2
3.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.222 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.222 * [taylor]: Taking taylor expansion of im in im
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify 1 into 1
3.222 * [backup-simplify]: Simplify (* 1 1) into 1
3.223 * [backup-simplify]: Simplify (/ 1 1) into 1
3.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.227 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.228 * [backup-simplify]: Simplify (+ 0 0) into 0
3.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.230 * [backup-simplify]: Simplify (- 0) into 0
3.230 * [backup-simplify]: Simplify (+ 0 0) into 0
3.230 * [taylor]: Taking taylor expansion of 0 in im
3.230 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.233 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify 0 into 0
3.234 * [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)))))
3.234 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
3.234 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.234 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.234 * [taylor]: Taking taylor expansion of re in im
3.234 * [backup-simplify]: Simplify re into re
3.234 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.234 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.234 * [taylor]: Taking taylor expansion of re in im
3.234 * [backup-simplify]: Simplify re into re
3.234 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.234 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.234 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.234 * [taylor]: Taking taylor expansion of im in im
3.234 * [backup-simplify]: Simplify 0 into 0
3.234 * [backup-simplify]: Simplify 1 into 1
3.235 * [backup-simplify]: Simplify (* 1 1) into 1
3.235 * [backup-simplify]: Simplify (/ 1 1) into 1
3.236 * [backup-simplify]: Simplify (+ 0 1) into 1
3.236 * [backup-simplify]: Simplify (sqrt 1) into 1
3.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.238 * [backup-simplify]: Simplify (+ 0 0) into 0
3.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.238 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.238 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.238 * [taylor]: Taking taylor expansion of re in re
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 1 into 1
3.239 * [backup-simplify]: Simplify (/ 1 1) into 1
3.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.239 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.239 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.239 * [taylor]: Taking taylor expansion of re in re
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 1 into 1
3.239 * [backup-simplify]: Simplify (* 1 1) into 1
3.240 * [backup-simplify]: Simplify (/ 1 1) into 1
3.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.240 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.240 * [taylor]: Taking taylor expansion of im in re
3.240 * [backup-simplify]: Simplify im into im
3.240 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.240 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.240 * [backup-simplify]: Simplify (+ 1 0) into 1
3.241 * [backup-simplify]: Simplify (sqrt 1) into 1
3.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.242 * [backup-simplify]: Simplify (+ 0 0) into 0
3.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.243 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.243 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.243 * [taylor]: Taking taylor expansion of re in re
3.243 * [backup-simplify]: Simplify 0 into 0
3.243 * [backup-simplify]: Simplify 1 into 1
3.244 * [backup-simplify]: Simplify (/ 1 1) into 1
3.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.244 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.244 * [taylor]: Taking taylor expansion of re in re
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 1 into 1
3.244 * [backup-simplify]: Simplify (* 1 1) into 1
3.245 * [backup-simplify]: Simplify (/ 1 1) into 1
3.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.245 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.245 * [taylor]: Taking taylor expansion of im in re
3.245 * [backup-simplify]: Simplify im into im
3.245 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.245 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.245 * [backup-simplify]: Simplify (+ 1 0) into 1
3.246 * [backup-simplify]: Simplify (sqrt 1) into 1
3.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.247 * [backup-simplify]: Simplify (+ 0 0) into 0
3.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.248 * [backup-simplify]: Simplify (+ 1 1) into 2
3.248 * [taylor]: Taking taylor expansion of 2 in im
3.248 * [backup-simplify]: Simplify 2 into 2
3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.250 * [backup-simplify]: Simplify (+ 0 0) into 0
3.250 * [taylor]: Taking taylor expansion of 0 in im
3.250 * [backup-simplify]: Simplify 0 into 0
3.250 * [backup-simplify]: Simplify 2 into 2
3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.252 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.254 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.254 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.254 * [taylor]: Taking taylor expansion of 1/2 in im
3.254 * [backup-simplify]: Simplify 1/2 into 1/2
3.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.254 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.254 * [taylor]: Taking taylor expansion of im in im
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 1 into 1
3.254 * [backup-simplify]: Simplify (* 1 1) into 1
3.255 * [backup-simplify]: Simplify (/ 1 1) into 1
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify 0 into 0
3.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.260 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.261 * [backup-simplify]: Simplify (+ 0 0) into 0
3.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.262 * [backup-simplify]: Simplify (+ 0 0) into 0
3.262 * [taylor]: Taking taylor expansion of 0 in im
3.262 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.265 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1)
3.265 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
3.265 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.265 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.265 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.265 * [taylor]: Taking taylor expansion of im in im
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 1 into 1
3.265 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.266 * [taylor]: Taking taylor expansion of re in im
3.266 * [backup-simplify]: Simplify re into re
3.266 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.266 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.266 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.266 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.266 * [backup-simplify]: Simplify (+ 0 0) into 0
3.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.267 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.267 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.267 * [taylor]: Taking taylor expansion of im in re
3.267 * [backup-simplify]: Simplify im into im
3.267 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.267 * [taylor]: Taking taylor expansion of re in re
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify 1 into 1
3.267 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.267 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.267 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.268 * [backup-simplify]: Simplify (+ 0 0) into 0
3.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.268 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.268 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.268 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.268 * [taylor]: Taking taylor expansion of im in re
3.268 * [backup-simplify]: Simplify im into im
3.268 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.268 * [taylor]: Taking taylor expansion of re in re
3.268 * [backup-simplify]: Simplify 0 into 0
3.268 * [backup-simplify]: Simplify 1 into 1
3.268 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.269 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.269 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.269 * [backup-simplify]: Simplify (+ 0 0) into 0
3.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.269 * [taylor]: Taking taylor expansion of im in im
3.269 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify 1 into 1
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [taylor]: Taking taylor expansion of 0 in im
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify 1 into 1
3.270 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.271 * [backup-simplify]: Simplify (* 1 1) into 1
3.271 * [backup-simplify]: Simplify (+ 0 1) into 1
3.272 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.272 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.272 * [taylor]: Taking taylor expansion of 1/2 in im
3.272 * [backup-simplify]: Simplify 1/2 into 1/2
3.272 * [taylor]: Taking taylor expansion of im in im
3.272 * [backup-simplify]: Simplify 0 into 0
3.272 * [backup-simplify]: Simplify 1 into 1
3.273 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.275 * [backup-simplify]: Simplify (+ 0 0) into 0
3.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.276 * [taylor]: Taking taylor expansion of 0 in im
3.276 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify 0 into 0
3.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.277 * [backup-simplify]: Simplify 0 into 0
3.277 * [backup-simplify]: Simplify 0 into 0
3.277 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.277 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.277 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.277 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.277 * [taylor]: Taking taylor expansion of re in im
3.277 * [backup-simplify]: Simplify re into re
3.278 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.278 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.278 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.278 * [taylor]: Taking taylor expansion of im in im
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify 1 into 1
3.278 * [backup-simplify]: Simplify (* 1 1) into 1
3.279 * [backup-simplify]: Simplify (/ 1 1) into 1
3.279 * [backup-simplify]: Simplify (+ 0 1) into 1
3.279 * [backup-simplify]: Simplify (sqrt 1) into 1
3.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.281 * [backup-simplify]: Simplify (+ 0 0) into 0
3.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.282 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.282 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.282 * [taylor]: Taking taylor expansion of re in re
3.282 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify 1 into 1
3.282 * [backup-simplify]: Simplify (* 1 1) into 1
3.283 * [backup-simplify]: Simplify (/ 1 1) into 1
3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.283 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.283 * [taylor]: Taking taylor expansion of im in re
3.283 * [backup-simplify]: Simplify im into im
3.283 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.283 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.284 * [backup-simplify]: Simplify (+ 1 0) into 1
3.284 * [backup-simplify]: Simplify (sqrt 1) into 1
3.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.286 * [backup-simplify]: Simplify (+ 0 0) into 0
3.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.286 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.286 * [taylor]: Taking taylor expansion of re in re
3.286 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify 1 into 1
3.287 * [backup-simplify]: Simplify (* 1 1) into 1
3.287 * [backup-simplify]: Simplify (/ 1 1) into 1
3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.287 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.287 * [taylor]: Taking taylor expansion of im in re
3.287 * [backup-simplify]: Simplify im into im
3.288 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.288 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.288 * [backup-simplify]: Simplify (+ 1 0) into 1
3.289 * [backup-simplify]: Simplify (sqrt 1) into 1
3.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.290 * [backup-simplify]: Simplify (+ 0 0) into 0
3.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.291 * [taylor]: Taking taylor expansion of 1 in im
3.291 * [backup-simplify]: Simplify 1 into 1
3.291 * [taylor]: Taking taylor expansion of 0 in im
3.291 * [backup-simplify]: Simplify 0 into 0
3.291 * [backup-simplify]: Simplify 1 into 1
3.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.293 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.294 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.294 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.294 * [taylor]: Taking taylor expansion of 1/2 in im
3.294 * [backup-simplify]: Simplify 1/2 into 1/2
3.294 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.294 * [taylor]: Taking taylor expansion of im in im
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 1 into 1
3.294 * [backup-simplify]: Simplify (* 1 1) into 1
3.294 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.295 * [backup-simplify]: Simplify 0 into 0
3.295 * [backup-simplify]: Simplify 0 into 0
3.295 * [backup-simplify]: Simplify 0 into 0
3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.296 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.297 * [backup-simplify]: Simplify (+ 0 0) into 0
3.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.297 * [taylor]: Taking taylor expansion of 0 in im
3.297 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.299 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.299 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.299 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.299 * [taylor]: Taking taylor expansion of re in im
3.299 * [backup-simplify]: Simplify re into re
3.299 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.299 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.299 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.299 * [taylor]: Taking taylor expansion of im in im
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 1 into 1
3.299 * [backup-simplify]: Simplify (* 1 1) into 1
3.300 * [backup-simplify]: Simplify (/ 1 1) into 1
3.300 * [backup-simplify]: Simplify (+ 0 1) into 1
3.300 * [backup-simplify]: Simplify (sqrt 1) into 1
3.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.301 * [backup-simplify]: Simplify (+ 0 0) into 0
3.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.302 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.302 * [taylor]: Taking taylor expansion of re in re
3.302 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify 1 into 1
3.302 * [backup-simplify]: Simplify (* 1 1) into 1
3.302 * [backup-simplify]: Simplify (/ 1 1) into 1
3.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.302 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.302 * [taylor]: Taking taylor expansion of im in re
3.302 * [backup-simplify]: Simplify im into im
3.302 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.303 * [backup-simplify]: Simplify (+ 1 0) into 1
3.303 * [backup-simplify]: Simplify (sqrt 1) into 1
3.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.304 * [backup-simplify]: Simplify (+ 0 0) into 0
3.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.304 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.304 * [taylor]: Taking taylor expansion of re in re
3.304 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 1 into 1
3.305 * [backup-simplify]: Simplify (* 1 1) into 1
3.305 * [backup-simplify]: Simplify (/ 1 1) into 1
3.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.305 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.305 * [taylor]: Taking taylor expansion of im in re
3.305 * [backup-simplify]: Simplify im into im
3.305 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.305 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.305 * [backup-simplify]: Simplify (+ 1 0) into 1
3.306 * [backup-simplify]: Simplify (sqrt 1) into 1
3.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.307 * [backup-simplify]: Simplify (+ 0 0) into 0
3.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.307 * [taylor]: Taking taylor expansion of 1 in im
3.307 * [backup-simplify]: Simplify 1 into 1
3.307 * [taylor]: Taking taylor expansion of 0 in im
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.308 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.310 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.311 * [taylor]: Taking taylor expansion of 1/2 in im
3.311 * [backup-simplify]: Simplify 1/2 into 1/2
3.311 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.311 * [taylor]: Taking taylor expansion of im in im
3.311 * [backup-simplify]: Simplify 0 into 0
3.311 * [backup-simplify]: Simplify 1 into 1
3.311 * [backup-simplify]: Simplify (* 1 1) into 1
3.311 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.313 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.314 * [backup-simplify]: Simplify (+ 0 0) into 0
3.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.314 * [taylor]: Taking taylor expansion of 0 in im
3.314 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.315 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.315 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
3.316 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)))
3.316 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0
3.316 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
3.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.316 * [taylor]: Taking taylor expansion of 2.0 in im
3.316 * [backup-simplify]: Simplify 2.0 into 2.0
3.316 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.317 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
3.317 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.317 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.317 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.317 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.317 * [taylor]: Taking taylor expansion of im in im
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify 1 into 1
3.317 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.317 * [taylor]: Taking taylor expansion of re in im
3.317 * [backup-simplify]: Simplify re into re
3.317 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.317 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.317 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.317 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.317 * [backup-simplify]: Simplify (+ 0 0) into 0
3.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.317 * [taylor]: Taking taylor expansion of re in im
3.317 * [backup-simplify]: Simplify re into re
3.318 * [backup-simplify]: Simplify (- re) into (- re)
3.318 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.318 * [backup-simplify]: Simplify (- 0) into 0
3.318 * [backup-simplify]: Simplify (+ 0 0) into 0
3.318 * [backup-simplify]: Simplify (* 1 1) into 1
3.319 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.319 * [backup-simplify]: Simplify (+ 1 0) into 1
3.319 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.319 * [backup-simplify]: Simplify (- 0) into 0
3.320 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.320 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
3.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.321 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.321 * [backup-simplify]: Simplify (+ 0 0) into 0
3.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.322 * [backup-simplify]: Simplify (- 0) into 0
3.322 * [backup-simplify]: Simplify (+ 0 0) into 0
3.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
3.323 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
3.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.323 * [taylor]: Taking taylor expansion of 2.0 in re
3.323 * [backup-simplify]: Simplify 2.0 into 2.0
3.323 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.324 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
3.324 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.324 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.324 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.324 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.324 * [taylor]: Taking taylor expansion of im in re
3.324 * [backup-simplify]: Simplify im into im
3.324 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.324 * [taylor]: Taking taylor expansion of re in re
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 1 into 1
3.324 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.324 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.325 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.325 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.325 * [backup-simplify]: Simplify (+ 0 0) into 0
3.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.325 * [taylor]: Taking taylor expansion of re in re
3.325 * [backup-simplify]: Simplify 0 into 0
3.325 * [backup-simplify]: Simplify 1 into 1
3.326 * [backup-simplify]: Simplify (- 0) into 0
3.326 * [backup-simplify]: Simplify (+ im 0) into im
3.326 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.326 * [backup-simplify]: Simplify (- 1) into -1
3.327 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.327 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
3.327 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
3.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.327 * [taylor]: Taking taylor expansion of 2.0 in re
3.327 * [backup-simplify]: Simplify 2.0 into 2.0
3.328 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.328 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
3.328 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.328 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.328 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.329 * [taylor]: Taking taylor expansion of im in re
3.329 * [backup-simplify]: Simplify im into im
3.329 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.329 * [taylor]: Taking taylor expansion of re in re
3.329 * [backup-simplify]: Simplify 0 into 0
3.329 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.329 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.329 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.329 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.330 * [backup-simplify]: Simplify (+ 0 0) into 0
3.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.330 * [taylor]: Taking taylor expansion of re in re
3.330 * [backup-simplify]: Simplify 0 into 0
3.330 * [backup-simplify]: Simplify 1 into 1
3.330 * [backup-simplify]: Simplify (- 0) into 0
3.330 * [backup-simplify]: Simplify (+ im 0) into im
3.330 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.331 * [backup-simplify]: Simplify (- 1) into -1
3.331 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.331 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
3.332 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
3.332 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
3.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.332 * [taylor]: Taking taylor expansion of 2.0 in im
3.332 * [backup-simplify]: Simplify 2.0 into 2.0
3.332 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.333 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.333 * [taylor]: Taking taylor expansion of im in im
3.333 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify 1 into 1
3.334 * [backup-simplify]: Simplify (sqrt 0) into 0
3.335 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.337 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.339 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.339 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
3.339 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
3.339 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
3.339 * [taylor]: Taking taylor expansion of 1/2 in im
3.339 * [backup-simplify]: Simplify 1/2 into 1/2
3.339 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
3.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.340 * [taylor]: Taking taylor expansion of 2.0 in im
3.340 * [backup-simplify]: Simplify 2.0 into 2.0
3.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
3.341 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.341 * [taylor]: Taking taylor expansion of im in im
3.341 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify 1 into 1
3.341 * [backup-simplify]: Simplify (/ 1 1) into 1
3.342 * [backup-simplify]: Simplify (sqrt 0) into 0
3.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.347 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.350 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.352 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.353 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.358 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.360 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.361 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.364 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.368 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.370 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.374 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
3.375 * [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))))
3.375 * [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
3.375 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
3.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.375 * [taylor]: Taking taylor expansion of 2.0 in im
3.375 * [backup-simplify]: Simplify 2.0 into 2.0
3.376 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.376 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.376 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.377 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.377 * [taylor]: Taking taylor expansion of re in im
3.377 * [backup-simplify]: Simplify re into re
3.377 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.377 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.377 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.377 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.377 * [taylor]: Taking taylor expansion of im in im
3.377 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify 1 into 1
3.377 * [backup-simplify]: Simplify (* 1 1) into 1
3.378 * [backup-simplify]: Simplify (/ 1 1) into 1
3.378 * [backup-simplify]: Simplify (+ 0 1) into 1
3.379 * [backup-simplify]: Simplify (sqrt 1) into 1
3.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.380 * [backup-simplify]: Simplify (+ 0 0) into 0
3.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.381 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.381 * [taylor]: Taking taylor expansion of re in im
3.381 * [backup-simplify]: Simplify re into re
3.381 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.381 * [backup-simplify]: Simplify (+ 1 0) into 1
3.381 * [backup-simplify]: Simplify (sqrt 0) into 0
3.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.382 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
3.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.382 * [taylor]: Taking taylor expansion of 2.0 in re
3.382 * [backup-simplify]: Simplify 2.0 into 2.0
3.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.383 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.383 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.383 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.383 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.383 * [taylor]: Taking taylor expansion of re in re
3.383 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify 1 into 1
3.384 * [backup-simplify]: Simplify (* 1 1) into 1
3.384 * [backup-simplify]: Simplify (/ 1 1) into 1
3.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.384 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.384 * [taylor]: Taking taylor expansion of im in re
3.384 * [backup-simplify]: Simplify im into im
3.384 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.384 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.385 * [backup-simplify]: Simplify (+ 1 0) into 1
3.385 * [backup-simplify]: Simplify (sqrt 1) into 1
3.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.386 * [backup-simplify]: Simplify (+ 0 0) into 0
3.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.386 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.386 * [taylor]: Taking taylor expansion of re in re
3.386 * [backup-simplify]: Simplify 0 into 0
3.386 * [backup-simplify]: Simplify 1 into 1
3.387 * [backup-simplify]: Simplify (/ 1 1) into 1
3.387 * [backup-simplify]: Simplify (- 1) into -1
3.387 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.388 * [backup-simplify]: Simplify (- 0) into 0
3.388 * [backup-simplify]: Simplify (+ 0 0) into 0
3.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.391 * [backup-simplify]: Simplify (- 0) into 0
3.391 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.391 * [backup-simplify]: Simplify (sqrt 0) into 0
3.392 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.392 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
3.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.392 * [taylor]: Taking taylor expansion of 2.0 in re
3.392 * [backup-simplify]: Simplify 2.0 into 2.0
3.392 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.392 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.392 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.393 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.393 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.393 * [taylor]: Taking taylor expansion of re in re
3.393 * [backup-simplify]: Simplify 0 into 0
3.393 * [backup-simplify]: Simplify 1 into 1
3.393 * [backup-simplify]: Simplify (* 1 1) into 1
3.393 * [backup-simplify]: Simplify (/ 1 1) into 1
3.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.393 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.393 * [taylor]: Taking taylor expansion of im in re
3.393 * [backup-simplify]: Simplify im into im
3.393 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.393 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.394 * [backup-simplify]: Simplify (+ 1 0) into 1
3.394 * [backup-simplify]: Simplify (sqrt 1) into 1
3.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.395 * [backup-simplify]: Simplify (+ 0 0) into 0
3.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.395 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.395 * [taylor]: Taking taylor expansion of re in re
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify 1 into 1
3.396 * [backup-simplify]: Simplify (/ 1 1) into 1
3.396 * [backup-simplify]: Simplify (- 1) into -1
3.396 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.397 * [backup-simplify]: Simplify (- 0) into 0
3.397 * [backup-simplify]: Simplify (+ 0 0) into 0
3.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.398 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.399 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.400 * [backup-simplify]: Simplify (- 0) into 0
3.400 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.400 * [backup-simplify]: Simplify (sqrt 0) into 0
3.400 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.401 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.401 * [taylor]: Taking taylor expansion of 0 in im
3.401 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
3.402 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.402 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.402 * [taylor]: Taking taylor expansion of +nan.0 in im
3.402 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.402 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.402 * [taylor]: Taking taylor expansion of 2.0 in im
3.402 * [backup-simplify]: Simplify 2.0 into 2.0
3.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.402 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.402 * [taylor]: Taking taylor expansion of im in im
3.402 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify 1 into 1
3.403 * [backup-simplify]: Simplify (* 1 1) into 1
3.403 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.405 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.405 * [backup-simplify]: Simplify (- 0) into 0
3.405 * [backup-simplify]: Simplify 0 into 0
3.405 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.406 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.407 * [backup-simplify]: Simplify (+ 0 0) into 0
3.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.408 * [backup-simplify]: Simplify (- 0) into 0
3.408 * [backup-simplify]: Simplify (+ 0 0) into 0
3.409 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.410 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.411 * [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))))
3.411 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
3.411 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.411 * [taylor]: Taking taylor expansion of +nan.0 in im
3.411 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.411 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.411 * [taylor]: Taking taylor expansion of 2.0 in im
3.411 * [backup-simplify]: Simplify 2.0 into 2.0
3.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.412 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.412 * [taylor]: Taking taylor expansion of im in im
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 1 into 1
3.413 * [backup-simplify]: Simplify (* 1 1) into 1
3.413 * [backup-simplify]: Simplify (* 1 1) into 1
3.414 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.415 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.426 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.426 * [backup-simplify]: Simplify (- 0) into 0
3.426 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.433 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.433 * [backup-simplify]: Simplify (- 0) into 0
3.433 * [backup-simplify]: Simplify 0 into 0
3.433 * [backup-simplify]: Simplify 0 into 0
3.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.436 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.436 * [backup-simplify]: Simplify (+ 0 0) into 0
3.438 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.439 * [backup-simplify]: Simplify (- 0) into 0
3.439 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.440 * [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)))))
3.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.443 * [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))))))
3.443 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
3.443 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
3.443 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.443 * [taylor]: Taking taylor expansion of +nan.0 in im
3.443 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.443 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.443 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.443 * [taylor]: Taking taylor expansion of 2.0 in im
3.443 * [backup-simplify]: Simplify 2.0 into 2.0
3.444 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.444 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.444 * [taylor]: Taking taylor expansion of im in im
3.444 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify 1 into 1
3.445 * [backup-simplify]: Simplify (* 1 1) into 1
3.445 * [backup-simplify]: Simplify (* 1 1) into 1
3.446 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.446 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
3.446 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
3.446 * [taylor]: Taking taylor expansion of +nan.0 in im
3.446 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.446 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
3.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.446 * [taylor]: Taking taylor expansion of 2.0 in im
3.446 * [backup-simplify]: Simplify 2.0 into 2.0
3.446 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.447 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.447 * [taylor]: Taking taylor expansion of im in im
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 1 into 1
3.448 * [backup-simplify]: Simplify (* 1 1) into 1
3.448 * [backup-simplify]: Simplify (* 1 1) into 1
3.448 * [backup-simplify]: Simplify (* 1 1) into 1
3.449 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.451 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.461 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.480 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.480 * [backup-simplify]: Simplify (- 0) into 0
3.480 * [backup-simplify]: Simplify (+ 0 0) into 0
3.481 * [backup-simplify]: Simplify (- 0) into 0
3.481 * [backup-simplify]: Simplify 0 into 0
3.481 * [backup-simplify]: Simplify 0 into 0
3.481 * [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)))))))
3.481 * [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
3.481 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
3.481 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.481 * [taylor]: Taking taylor expansion of 2.0 in im
3.481 * [backup-simplify]: Simplify 2.0 into 2.0
3.481 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
3.482 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.482 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.482 * [taylor]: Taking taylor expansion of re in im
3.482 * [backup-simplify]: Simplify re into re
3.482 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.482 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.482 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.482 * [taylor]: Taking taylor expansion of re in im
3.482 * [backup-simplify]: Simplify re into re
3.482 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.482 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.483 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.483 * [taylor]: Taking taylor expansion of im in im
3.483 * [backup-simplify]: Simplify 0 into 0
3.483 * [backup-simplify]: Simplify 1 into 1
3.483 * [backup-simplify]: Simplify (* 1 1) into 1
3.483 * [backup-simplify]: Simplify (/ 1 1) into 1
3.483 * [backup-simplify]: Simplify (+ 0 1) into 1
3.484 * [backup-simplify]: Simplify (sqrt 1) into 1
3.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.485 * [backup-simplify]: Simplify (+ 0 0) into 0
3.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.485 * [backup-simplify]: Simplify (+ 0 1) into 1
3.486 * [backup-simplify]: Simplify (sqrt 0) into 0
3.486 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.487 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
3.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.487 * [taylor]: Taking taylor expansion of 2.0 in re
3.487 * [backup-simplify]: Simplify 2.0 into 2.0
3.487 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
3.487 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.487 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.487 * [taylor]: Taking taylor expansion of re in re
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify 1 into 1
3.488 * [backup-simplify]: Simplify (/ 1 1) into 1
3.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.488 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.488 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.488 * [taylor]: Taking taylor expansion of re in re
3.488 * [backup-simplify]: Simplify 0 into 0
3.488 * [backup-simplify]: Simplify 1 into 1
3.488 * [backup-simplify]: Simplify (* 1 1) into 1
3.488 * [backup-simplify]: Simplify (/ 1 1) into 1
3.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.488 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.488 * [taylor]: Taking taylor expansion of im in re
3.488 * [backup-simplify]: Simplify im into im
3.488 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.488 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.489 * [backup-simplify]: Simplify (+ 1 0) into 1
3.489 * [backup-simplify]: Simplify (sqrt 1) into 1
3.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.490 * [backup-simplify]: Simplify (+ 0 0) into 0
3.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.491 * [backup-simplify]: Simplify (+ 1 1) into 2
3.491 * [backup-simplify]: Simplify (sqrt 0) into 0
3.492 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.492 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
3.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.492 * [taylor]: Taking taylor expansion of 2.0 in re
3.492 * [backup-simplify]: Simplify 2.0 into 2.0
3.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
3.493 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.493 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.493 * [taylor]: Taking taylor expansion of re in re
3.493 * [backup-simplify]: Simplify 0 into 0
3.493 * [backup-simplify]: Simplify 1 into 1
3.493 * [backup-simplify]: Simplify (/ 1 1) into 1
3.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.493 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.493 * [taylor]: Taking taylor expansion of re in re
3.493 * [backup-simplify]: Simplify 0 into 0
3.493 * [backup-simplify]: Simplify 1 into 1
3.493 * [backup-simplify]: Simplify (* 1 1) into 1
3.493 * [backup-simplify]: Simplify (/ 1 1) into 1
3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.493 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.493 * [taylor]: Taking taylor expansion of im in re
3.493 * [backup-simplify]: Simplify im into im
3.494 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.494 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.494 * [backup-simplify]: Simplify (+ 1 0) into 1
3.494 * [backup-simplify]: Simplify (sqrt 1) into 1
3.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.495 * [backup-simplify]: Simplify (+ 0 0) into 0
3.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.496 * [backup-simplify]: Simplify (+ 1 1) into 2
3.496 * [backup-simplify]: Simplify (sqrt 0) into 0
3.497 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.498 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.498 * [taylor]: Taking taylor expansion of 0 in im
3.498 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.500 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.500 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.500 * [taylor]: Taking taylor expansion of +nan.0 in im
3.500 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.500 * [taylor]: Taking taylor expansion of 2.0 in im
3.500 * [backup-simplify]: Simplify 2.0 into 2.0
3.501 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.501 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.502 * [backup-simplify]: Simplify (+ 0 0) into 0
3.505 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.509 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.509 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.509 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.509 * [taylor]: Taking taylor expansion of +nan.0 in im
3.509 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.510 * [taylor]: Taking taylor expansion of 2.0 in im
3.510 * [backup-simplify]: Simplify 2.0 into 2.0
3.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.512 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.513 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.515 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.515 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.518 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.520 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.520 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.521 * [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))
3.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.523 * [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))))))
3.523 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
3.523 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
3.523 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.523 * [taylor]: Taking taylor expansion of +nan.0 in im
3.523 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.523 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.523 * [taylor]: Taking taylor expansion of 2.0 in im
3.523 * [backup-simplify]: Simplify 2.0 into 2.0
3.524 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.524 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.524 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.524 * [taylor]: Taking taylor expansion of +nan.0 in im
3.524 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.524 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.524 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.524 * [taylor]: Taking taylor expansion of 2.0 in im
3.524 * [backup-simplify]: Simplify 2.0 into 2.0
3.524 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.525 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.525 * [taylor]: Taking taylor expansion of im in im
3.525 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify (* 1 1) into 1
3.526 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.527 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.527 * [backup-simplify]: Simplify (- 0) into 0
3.528 * [backup-simplify]: Simplify (+ 0 0) into 0
3.528 * [backup-simplify]: Simplify (- 0) into 0
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.529 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.530 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.531 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.531 * [backup-simplify]: Simplify (- 0) into 0
3.531 * [backup-simplify]: Simplify 0 into 0
3.531 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.533 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.533 * [backup-simplify]: Simplify (+ 0 0) into 0
3.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.534 * [backup-simplify]: Simplify (+ 0 0) into 0
3.535 * [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)))
3.536 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.537 * [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))))))
3.537 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
3.537 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
3.537 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.537 * [taylor]: Taking taylor expansion of +nan.0 in im
3.537 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.537 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.537 * [taylor]: Taking taylor expansion of 2.0 in im
3.537 * [backup-simplify]: Simplify 2.0 into 2.0
3.537 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.538 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.538 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.538 * [taylor]: Taking taylor expansion of +nan.0 in im
3.538 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.538 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.538 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.538 * [taylor]: Taking taylor expansion of 2.0 in im
3.538 * [backup-simplify]: Simplify 2.0 into 2.0
3.538 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.540 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.540 * [taylor]: Taking taylor expansion of im in im
3.540 * [backup-simplify]: Simplify 0 into 0
3.540 * [backup-simplify]: Simplify 1 into 1
3.541 * [backup-simplify]: Simplify (* 1 1) into 1
3.541 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.543 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.543 * [backup-simplify]: Simplify (- 0) into 0
3.543 * [backup-simplify]: Simplify (+ 0 0) into 0
3.543 * [backup-simplify]: Simplify (- 0) into 0
3.543 * [backup-simplify]: Simplify 0 into 0
3.544 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.546 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.546 * [backup-simplify]: Simplify (- 0) into 0
3.547 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
3.549 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.550 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.555 * [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))))))))
3.555 * * * [progress]: simplifying candidates
3.557 * [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)))
  (- 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 (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (- (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (- (exp (log (sqrt (+ (* re re) (* im im))))) re)
  (- 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)
  (- im re)
  0
  (* -2 re)
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
  0
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
3.560 * * [simplify]: iteration 0: 147 enodes
3.589 * * [simplify]: iteration 1: 296 enodes
3.727 * * [simplify]: iteration 2: 1105 enodes
4.093 * * [simplify]: iteration complete: 5001 enodes
4.093 * * [simplify]: Extracting #0: cost 51 inf + 0
4.094 * * [simplify]: Extracting #1: cost 290 inf + 130
4.096 * * [simplify]: Extracting #2: cost 964 inf + 3387
4.111 * * [simplify]: Extracting #3: cost 1812 inf + 21845
4.161 * * [simplify]: Extracting #4: cost 825 inf + 169170
4.216 * * [simplify]: Extracting #5: cost 103 inf + 296332
4.285 * * [simplify]: Extracting #6: cost 11 inf + 313839
4.358 * * [simplify]: Extracting #7: cost 0 inf + 316731
4.458 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* 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))
  (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re)))
  (+ (* (sqrt (+ (* re re) (* im im))) (+ re (sqrt (+ (* re re) (* im im))))) (* re re))
  (- re)
  (+ (* im im) 0)
  (+ re (sqrt (+ (* re re) (* im im))))
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (sqrt E)
  E
  (sqrt E)
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  E
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* 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) (- (* im im) (* re re)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))
  (exp (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))
  (* (cbrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (cbrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))))
  (cbrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))
  (* (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)) (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))
  (sqrt 2.0)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re)))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (+ re (sqrt (+ (* re re) (* im im))))) (* re re)))
  (sqrt (* 2.0 (+ (* im im) 0)))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  1/2
  1/2
  (sqrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))
  (sqrt (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))
  im
  re
  (- re)
  (- im re)
  0
  (* re -2)
  im
  re
  (- re)
  (- (* (* +nan.0 (sqrt 2.0)) (- (* re im) (- (* im im) im))))
  0
  (* +nan.0 (+ (- (/ (sqrt 2.0) re) (/ (/ (sqrt 2.0) re) re)) (- (sqrt 2.0))))
4.472 * * * [progress]: adding candidates to table
4.933 * * [progress]: iteration 3 / 4
4.933 * * * [progress]: picking best candidate
4.993 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))>
4.993 * * * [progress]: localizing error
5.059 * * * [progress]: generating rewritten candidates
5.059 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
5.065 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1)
5.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1)
5.078 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
5.282 * * * [progress]: generating series expansions
5.282 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
5.282 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.283 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.283 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.283 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.283 * [taylor]: Taking taylor expansion of im in im
5.283 * [backup-simplify]: Simplify 0 into 0
5.283 * [backup-simplify]: Simplify 1 into 1
5.283 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.283 * [taylor]: Taking taylor expansion of re in im
5.283 * [backup-simplify]: Simplify re into re
5.283 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.283 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.283 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.283 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.284 * [backup-simplify]: Simplify (+ 0 0) into 0
5.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.284 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.284 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.284 * [taylor]: Taking taylor expansion of im in re
5.284 * [backup-simplify]: Simplify im into im
5.284 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.284 * [taylor]: Taking taylor expansion of re in re
5.284 * [backup-simplify]: Simplify 0 into 0
5.284 * [backup-simplify]: Simplify 1 into 1
5.284 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.284 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.284 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.284 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.284 * [backup-simplify]: Simplify (+ 0 0) into 0
5.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.285 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.285 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.285 * [taylor]: Taking taylor expansion of im in re
5.285 * [backup-simplify]: Simplify im into im
5.285 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.285 * [taylor]: Taking taylor expansion of re in re
5.285 * [backup-simplify]: Simplify 0 into 0
5.285 * [backup-simplify]: Simplify 1 into 1
5.285 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.285 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.285 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.285 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.285 * [backup-simplify]: Simplify (+ 0 0) into 0
5.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.285 * [taylor]: Taking taylor expansion of im in im
5.285 * [backup-simplify]: Simplify 0 into 0
5.286 * [backup-simplify]: Simplify 1 into 1
5.286 * [backup-simplify]: Simplify 0 into 0
5.286 * [taylor]: Taking taylor expansion of 0 in im
5.286 * [backup-simplify]: Simplify 0 into 0
5.286 * [backup-simplify]: Simplify 0 into 0
5.286 * [backup-simplify]: Simplify 1 into 1
5.286 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.286 * [backup-simplify]: Simplify (* 1 1) into 1
5.287 * [backup-simplify]: Simplify (+ 0 1) into 1
5.287 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.287 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.287 * [taylor]: Taking taylor expansion of 1/2 in im
5.287 * [backup-simplify]: Simplify 1/2 into 1/2
5.287 * [taylor]: Taking taylor expansion of im in im
5.287 * [backup-simplify]: Simplify 0 into 0
5.287 * [backup-simplify]: Simplify 1 into 1
5.287 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.289 * [backup-simplify]: Simplify (+ 0 0) into 0
5.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.289 * [taylor]: Taking taylor expansion of 0 in im
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.290 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.290 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.290 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.290 * [taylor]: Taking taylor expansion of re in im
5.290 * [backup-simplify]: Simplify re into re
5.290 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.291 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.291 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.291 * [taylor]: Taking taylor expansion of im in im
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 1 into 1
5.291 * [backup-simplify]: Simplify (* 1 1) into 1
5.291 * [backup-simplify]: Simplify (/ 1 1) into 1
5.292 * [backup-simplify]: Simplify (+ 0 1) into 1
5.292 * [backup-simplify]: Simplify (sqrt 1) into 1
5.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.293 * [backup-simplify]: Simplify (+ 0 0) into 0
5.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.293 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.293 * [taylor]: Taking taylor expansion of re in re
5.293 * [backup-simplify]: Simplify 0 into 0
5.293 * [backup-simplify]: Simplify 1 into 1
5.294 * [backup-simplify]: Simplify (* 1 1) into 1
5.296 * [backup-simplify]: Simplify (/ 1 1) into 1
5.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.296 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.296 * [taylor]: Taking taylor expansion of im in re
5.296 * [backup-simplify]: Simplify im into im
5.296 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.296 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.296 * [backup-simplify]: Simplify (+ 1 0) into 1
5.297 * [backup-simplify]: Simplify (sqrt 1) into 1
5.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.298 * [backup-simplify]: Simplify (+ 0 0) into 0
5.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.298 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.298 * [taylor]: Taking taylor expansion of re in re
5.298 * [backup-simplify]: Simplify 0 into 0
5.298 * [backup-simplify]: Simplify 1 into 1
5.299 * [backup-simplify]: Simplify (* 1 1) into 1
5.299 * [backup-simplify]: Simplify (/ 1 1) into 1
5.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.299 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.299 * [taylor]: Taking taylor expansion of im in re
5.299 * [backup-simplify]: Simplify im into im
5.299 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.299 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.299 * [backup-simplify]: Simplify (+ 1 0) into 1
5.300 * [backup-simplify]: Simplify (sqrt 1) into 1
5.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.301 * [backup-simplify]: Simplify (+ 0 0) into 0
5.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.302 * [taylor]: Taking taylor expansion of 1 in im
5.302 * [backup-simplify]: Simplify 1 into 1
5.302 * [taylor]: Taking taylor expansion of 0 in im
5.302 * [backup-simplify]: Simplify 0 into 0
5.302 * [backup-simplify]: Simplify 1 into 1
5.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.303 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.304 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.304 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.304 * [taylor]: Taking taylor expansion of 1/2 in im
5.304 * [backup-simplify]: Simplify 1/2 into 1/2
5.304 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.304 * [taylor]: Taking taylor expansion of im in im
5.304 * [backup-simplify]: Simplify 0 into 0
5.304 * [backup-simplify]: Simplify 1 into 1
5.304 * [backup-simplify]: Simplify (* 1 1) into 1
5.304 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.305 * [backup-simplify]: Simplify 0 into 0
5.305 * [backup-simplify]: Simplify 0 into 0
5.305 * [backup-simplify]: Simplify 0 into 0
5.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.306 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.307 * [backup-simplify]: Simplify (+ 0 0) into 0
5.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.307 * [taylor]: Taking taylor expansion of 0 in im
5.307 * [backup-simplify]: Simplify 0 into 0
5.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.309 * [backup-simplify]: Simplify 0 into 0
5.309 * [backup-simplify]: Simplify 0 into 0
5.309 * [backup-simplify]: Simplify 0 into 0
5.309 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.309 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.309 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.309 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.309 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.309 * [taylor]: Taking taylor expansion of re in im
5.309 * [backup-simplify]: Simplify re into re
5.309 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.309 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.309 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.309 * [taylor]: Taking taylor expansion of im in im
5.309 * [backup-simplify]: Simplify 0 into 0
5.309 * [backup-simplify]: Simplify 1 into 1
5.310 * [backup-simplify]: Simplify (* 1 1) into 1
5.310 * [backup-simplify]: Simplify (/ 1 1) into 1
5.310 * [backup-simplify]: Simplify (+ 0 1) into 1
5.310 * [backup-simplify]: Simplify (sqrt 1) into 1
5.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.311 * [backup-simplify]: Simplify (+ 0 0) into 0
5.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.312 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.312 * [taylor]: Taking taylor expansion of re in re
5.312 * [backup-simplify]: Simplify 0 into 0
5.312 * [backup-simplify]: Simplify 1 into 1
5.312 * [backup-simplify]: Simplify (* 1 1) into 1
5.312 * [backup-simplify]: Simplify (/ 1 1) into 1
5.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.312 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.312 * [taylor]: Taking taylor expansion of im in re
5.312 * [backup-simplify]: Simplify im into im
5.313 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.313 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.313 * [backup-simplify]: Simplify (+ 1 0) into 1
5.313 * [backup-simplify]: Simplify (sqrt 1) into 1
5.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.314 * [backup-simplify]: Simplify (+ 0 0) into 0
5.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.315 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.315 * [taylor]: Taking taylor expansion of re in re
5.315 * [backup-simplify]: Simplify 0 into 0
5.315 * [backup-simplify]: Simplify 1 into 1
5.315 * [backup-simplify]: Simplify (* 1 1) into 1
5.315 * [backup-simplify]: Simplify (/ 1 1) into 1
5.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.315 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.315 * [taylor]: Taking taylor expansion of im in re
5.315 * [backup-simplify]: Simplify im into im
5.315 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.315 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.316 * [backup-simplify]: Simplify (+ 1 0) into 1
5.316 * [backup-simplify]: Simplify (sqrt 1) into 1
5.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.317 * [backup-simplify]: Simplify (+ 0 0) into 0
5.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.318 * [taylor]: Taking taylor expansion of 1 in im
5.318 * [backup-simplify]: Simplify 1 into 1
5.318 * [taylor]: Taking taylor expansion of 0 in im
5.318 * [backup-simplify]: Simplify 0 into 0
5.318 * [backup-simplify]: Simplify 1 into 1
5.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.319 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.320 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.320 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.320 * [taylor]: Taking taylor expansion of 1/2 in im
5.320 * [backup-simplify]: Simplify 1/2 into 1/2
5.320 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.320 * [taylor]: Taking taylor expansion of im in im
5.320 * [backup-simplify]: Simplify 0 into 0
5.320 * [backup-simplify]: Simplify 1 into 1
5.320 * [backup-simplify]: Simplify (* 1 1) into 1
5.320 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.321 * [backup-simplify]: Simplify 0 into 0
5.321 * [backup-simplify]: Simplify 0 into 0
5.321 * [backup-simplify]: Simplify 0 into 0
5.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.322 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.323 * [backup-simplify]: Simplify (+ 0 0) into 0
5.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.323 * [taylor]: Taking taylor expansion of 0 in im
5.323 * [backup-simplify]: Simplify 0 into 0
5.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.325 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1)
5.325 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.325 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.325 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.325 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.325 * [taylor]: Taking taylor expansion of im in im
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify 1 into 1
5.325 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.325 * [taylor]: Taking taylor expansion of re in im
5.325 * [backup-simplify]: Simplify re into re
5.325 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.325 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.325 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.325 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.326 * [backup-simplify]: Simplify (+ 0 0) into 0
5.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.326 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.326 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.326 * [taylor]: Taking taylor expansion of im in re
5.326 * [backup-simplify]: Simplify im into im
5.326 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.326 * [taylor]: Taking taylor expansion of re in re
5.326 * [backup-simplify]: Simplify 0 into 0
5.326 * [backup-simplify]: Simplify 1 into 1
5.326 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.326 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.326 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.326 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.326 * [backup-simplify]: Simplify (+ 0 0) into 0
5.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.327 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.327 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.327 * [taylor]: Taking taylor expansion of im in re
5.327 * [backup-simplify]: Simplify im into im
5.327 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.327 * [taylor]: Taking taylor expansion of re in re
5.327 * [backup-simplify]: Simplify 0 into 0
5.327 * [backup-simplify]: Simplify 1 into 1
5.327 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.327 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.327 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.327 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.327 * [backup-simplify]: Simplify (+ 0 0) into 0
5.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.327 * [taylor]: Taking taylor expansion of im in im
5.327 * [backup-simplify]: Simplify 0 into 0
5.327 * [backup-simplify]: Simplify 1 into 1
5.327 * [backup-simplify]: Simplify 0 into 0
5.327 * [taylor]: Taking taylor expansion of 0 in im
5.327 * [backup-simplify]: Simplify 0 into 0
5.327 * [backup-simplify]: Simplify 0 into 0
5.328 * [backup-simplify]: Simplify 1 into 1
5.328 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.328 * [backup-simplify]: Simplify (* 1 1) into 1
5.328 * [backup-simplify]: Simplify (+ 0 1) into 1
5.329 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.329 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.329 * [taylor]: Taking taylor expansion of 1/2 in im
5.329 * [backup-simplify]: Simplify 1/2 into 1/2
5.329 * [taylor]: Taking taylor expansion of im in im
5.329 * [backup-simplify]: Simplify 0 into 0
5.329 * [backup-simplify]: Simplify 1 into 1
5.329 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.330 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.331 * [backup-simplify]: Simplify (+ 0 0) into 0
5.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.331 * [taylor]: Taking taylor expansion of 0 in im
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [backup-simplify]: Simplify 0 into 0
5.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.332 * [backup-simplify]: Simplify 0 into 0
5.332 * [backup-simplify]: Simplify 0 into 0
5.332 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.332 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.332 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.332 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.332 * [taylor]: Taking taylor expansion of re in im
5.332 * [backup-simplify]: Simplify re into re
5.332 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.332 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.332 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.332 * [taylor]: Taking taylor expansion of im in im
5.332 * [backup-simplify]: Simplify 0 into 0
5.332 * [backup-simplify]: Simplify 1 into 1
5.333 * [backup-simplify]: Simplify (* 1 1) into 1
5.333 * [backup-simplify]: Simplify (/ 1 1) into 1
5.333 * [backup-simplify]: Simplify (+ 0 1) into 1
5.333 * [backup-simplify]: Simplify (sqrt 1) into 1
5.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.334 * [backup-simplify]: Simplify (+ 0 0) into 0
5.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.335 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.335 * [taylor]: Taking taylor expansion of re in re
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify 1 into 1
5.335 * [backup-simplify]: Simplify (* 1 1) into 1
5.335 * [backup-simplify]: Simplify (/ 1 1) into 1
5.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.335 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.335 * [taylor]: Taking taylor expansion of im in re
5.335 * [backup-simplify]: Simplify im into im
5.335 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.336 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.336 * [backup-simplify]: Simplify (+ 1 0) into 1
5.336 * [backup-simplify]: Simplify (sqrt 1) into 1
5.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.337 * [backup-simplify]: Simplify (+ 0 0) into 0
5.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.338 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.338 * [taylor]: Taking taylor expansion of re in re
5.338 * [backup-simplify]: Simplify 0 into 0
5.338 * [backup-simplify]: Simplify 1 into 1
5.338 * [backup-simplify]: Simplify (* 1 1) into 1
5.338 * [backup-simplify]: Simplify (/ 1 1) into 1
5.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.338 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.338 * [taylor]: Taking taylor expansion of im in re
5.338 * [backup-simplify]: Simplify im into im
5.338 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.338 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.339 * [backup-simplify]: Simplify (+ 1 0) into 1
5.339 * [backup-simplify]: Simplify (sqrt 1) into 1
5.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.340 * [backup-simplify]: Simplify (+ 0 0) into 0
5.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.341 * [taylor]: Taking taylor expansion of 1 in im
5.341 * [backup-simplify]: Simplify 1 into 1
5.341 * [taylor]: Taking taylor expansion of 0 in im
5.341 * [backup-simplify]: Simplify 0 into 0
5.341 * [backup-simplify]: Simplify 1 into 1
5.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.342 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.343 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.343 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.343 * [taylor]: Taking taylor expansion of 1/2 in im
5.343 * [backup-simplify]: Simplify 1/2 into 1/2
5.343 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.343 * [taylor]: Taking taylor expansion of im in im
5.343 * [backup-simplify]: Simplify 0 into 0
5.343 * [backup-simplify]: Simplify 1 into 1
5.343 * [backup-simplify]: Simplify (* 1 1) into 1
5.343 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.344 * [backup-simplify]: Simplify 0 into 0
5.344 * [backup-simplify]: Simplify 0 into 0
5.344 * [backup-simplify]: Simplify 0 into 0
5.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.346 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.346 * [backup-simplify]: Simplify (+ 0 0) into 0
5.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.346 * [taylor]: Taking taylor expansion of 0 in im
5.346 * [backup-simplify]: Simplify 0 into 0
5.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.348 * [backup-simplify]: Simplify 0 into 0
5.348 * [backup-simplify]: Simplify 0 into 0
5.348 * [backup-simplify]: Simplify 0 into 0
5.348 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.348 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.348 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.348 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.348 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.348 * [taylor]: Taking taylor expansion of re in im
5.348 * [backup-simplify]: Simplify re into re
5.348 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.348 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.348 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.348 * [taylor]: Taking taylor expansion of im in im
5.348 * [backup-simplify]: Simplify 0 into 0
5.348 * [backup-simplify]: Simplify 1 into 1
5.349 * [backup-simplify]: Simplify (* 1 1) into 1
5.349 * [backup-simplify]: Simplify (/ 1 1) into 1
5.349 * [backup-simplify]: Simplify (+ 0 1) into 1
5.350 * [backup-simplify]: Simplify (sqrt 1) into 1
5.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.352 * [backup-simplify]: Simplify (+ 0 0) into 0
5.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.352 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.353 * [taylor]: Taking taylor expansion of re in re
5.353 * [backup-simplify]: Simplify 0 into 0
5.353 * [backup-simplify]: Simplify 1 into 1
5.353 * [backup-simplify]: Simplify (* 1 1) into 1
5.354 * [backup-simplify]: Simplify (/ 1 1) into 1
5.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.354 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.354 * [taylor]: Taking taylor expansion of im in re
5.354 * [backup-simplify]: Simplify im into im
5.354 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.354 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.355 * [backup-simplify]: Simplify (+ 1 0) into 1
5.355 * [backup-simplify]: Simplify (sqrt 1) into 1
5.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.357 * [backup-simplify]: Simplify (+ 0 0) into 0
5.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.358 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.358 * [taylor]: Taking taylor expansion of re in re
5.358 * [backup-simplify]: Simplify 0 into 0
5.358 * [backup-simplify]: Simplify 1 into 1
5.359 * [backup-simplify]: Simplify (* 1 1) into 1
5.359 * [backup-simplify]: Simplify (/ 1 1) into 1
5.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.359 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.359 * [taylor]: Taking taylor expansion of im in re
5.359 * [backup-simplify]: Simplify im into im
5.359 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.359 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.360 * [backup-simplify]: Simplify (+ 1 0) into 1
5.360 * [backup-simplify]: Simplify (sqrt 1) into 1
5.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.362 * [backup-simplify]: Simplify (+ 0 0) into 0
5.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.363 * [taylor]: Taking taylor expansion of 1 in im
5.363 * [backup-simplify]: Simplify 1 into 1
5.363 * [taylor]: Taking taylor expansion of 0 in im
5.363 * [backup-simplify]: Simplify 0 into 0
5.363 * [backup-simplify]: Simplify 1 into 1
5.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.365 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.366 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.366 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.366 * [taylor]: Taking taylor expansion of 1/2 in im
5.366 * [backup-simplify]: Simplify 1/2 into 1/2
5.366 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.366 * [taylor]: Taking taylor expansion of im in im
5.366 * [backup-simplify]: Simplify 0 into 0
5.366 * [backup-simplify]: Simplify 1 into 1
5.367 * [backup-simplify]: Simplify (* 1 1) into 1
5.367 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.369 * [backup-simplify]: Simplify 0 into 0
5.369 * [backup-simplify]: Simplify 0 into 0
5.369 * [backup-simplify]: Simplify 0 into 0
5.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.371 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.372 * [backup-simplify]: Simplify (+ 0 0) into 0
5.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.373 * [taylor]: Taking taylor expansion of 0 in im
5.373 * [backup-simplify]: Simplify 0 into 0
5.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.375 * [backup-simplify]: Simplify 0 into 0
5.375 * [backup-simplify]: Simplify 0 into 0
5.375 * [backup-simplify]: Simplify 0 into 0
5.375 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.375 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1)
5.375 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.375 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.375 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.375 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.375 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.375 * [taylor]: Taking taylor expansion of im in im
5.375 * [backup-simplify]: Simplify 0 into 0
5.375 * [backup-simplify]: Simplify 1 into 1
5.375 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.375 * [taylor]: Taking taylor expansion of re in im
5.376 * [backup-simplify]: Simplify re into re
5.376 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.376 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.376 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.376 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.376 * [backup-simplify]: Simplify (+ 0 0) into 0
5.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.377 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.377 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.377 * [taylor]: Taking taylor expansion of im in re
5.377 * [backup-simplify]: Simplify im into im
5.377 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.377 * [taylor]: Taking taylor expansion of re in re
5.377 * [backup-simplify]: Simplify 0 into 0
5.377 * [backup-simplify]: Simplify 1 into 1
5.377 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.377 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.377 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.377 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.378 * [backup-simplify]: Simplify (+ 0 0) into 0
5.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.378 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.378 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.378 * [taylor]: Taking taylor expansion of im in re
5.378 * [backup-simplify]: Simplify im into im
5.378 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.378 * [taylor]: Taking taylor expansion of re in re
5.378 * [backup-simplify]: Simplify 0 into 0
5.378 * [backup-simplify]: Simplify 1 into 1
5.378 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.378 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.379 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.379 * [backup-simplify]: Simplify (+ 0 0) into 0
5.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.379 * [taylor]: Taking taylor expansion of im in im
5.379 * [backup-simplify]: Simplify 0 into 0
5.379 * [backup-simplify]: Simplify 1 into 1
5.379 * [backup-simplify]: Simplify 0 into 0
5.379 * [taylor]: Taking taylor expansion of 0 in im
5.379 * [backup-simplify]: Simplify 0 into 0
5.380 * [backup-simplify]: Simplify 0 into 0
5.380 * [backup-simplify]: Simplify 1 into 1
5.380 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.380 * [backup-simplify]: Simplify (* 1 1) into 1
5.381 * [backup-simplify]: Simplify (+ 0 1) into 1
5.382 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.382 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.382 * [taylor]: Taking taylor expansion of 1/2 in im
5.382 * [backup-simplify]: Simplify 1/2 into 1/2
5.382 * [taylor]: Taking taylor expansion of im in im
5.382 * [backup-simplify]: Simplify 0 into 0
5.382 * [backup-simplify]: Simplify 1 into 1
5.382 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.383 * [backup-simplify]: Simplify 0 into 0
5.383 * [backup-simplify]: Simplify 0 into 0
5.383 * [backup-simplify]: Simplify 0 into 0
5.384 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.385 * [backup-simplify]: Simplify (+ 0 0) into 0
5.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.386 * [taylor]: Taking taylor expansion of 0 in im
5.386 * [backup-simplify]: Simplify 0 into 0
5.386 * [backup-simplify]: Simplify 0 into 0
5.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.387 * [backup-simplify]: Simplify 0 into 0
5.387 * [backup-simplify]: Simplify 0 into 0
5.387 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.387 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.387 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.387 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.387 * [taylor]: Taking taylor expansion of re in im
5.387 * [backup-simplify]: Simplify re into re
5.387 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.388 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.388 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.388 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.388 * [taylor]: Taking taylor expansion of im in im
5.388 * [backup-simplify]: Simplify 0 into 0
5.388 * [backup-simplify]: Simplify 1 into 1
5.388 * [backup-simplify]: Simplify (* 1 1) into 1
5.389 * [backup-simplify]: Simplify (/ 1 1) into 1
5.389 * [backup-simplify]: Simplify (+ 0 1) into 1
5.389 * [backup-simplify]: Simplify (sqrt 1) into 1
5.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.391 * [backup-simplify]: Simplify (+ 0 0) into 0
5.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.392 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.392 * [taylor]: Taking taylor expansion of re in re
5.392 * [backup-simplify]: Simplify 0 into 0
5.392 * [backup-simplify]: Simplify 1 into 1
5.393 * [backup-simplify]: Simplify (* 1 1) into 1
5.393 * [backup-simplify]: Simplify (/ 1 1) into 1
5.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.393 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.393 * [taylor]: Taking taylor expansion of im in re
5.393 * [backup-simplify]: Simplify im into im
5.393 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.394 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.394 * [backup-simplify]: Simplify (+ 1 0) into 1
5.395 * [backup-simplify]: Simplify (sqrt 1) into 1
5.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.397 * [backup-simplify]: Simplify (+ 0 0) into 0
5.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.397 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.397 * [taylor]: Taking taylor expansion of re in re
5.397 * [backup-simplify]: Simplify 0 into 0
5.397 * [backup-simplify]: Simplify 1 into 1
5.398 * [backup-simplify]: Simplify (* 1 1) into 1
5.398 * [backup-simplify]: Simplify (/ 1 1) into 1
5.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.398 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.398 * [taylor]: Taking taylor expansion of im in re
5.398 * [backup-simplify]: Simplify im into im
5.398 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.399 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.399 * [backup-simplify]: Simplify (+ 1 0) into 1
5.399 * [backup-simplify]: Simplify (sqrt 1) into 1
5.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.401 * [backup-simplify]: Simplify (+ 0 0) into 0
5.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.402 * [taylor]: Taking taylor expansion of 1 in im
5.402 * [backup-simplify]: Simplify 1 into 1
5.402 * [taylor]: Taking taylor expansion of 0 in im
5.402 * [backup-simplify]: Simplify 0 into 0
5.402 * [backup-simplify]: Simplify 1 into 1
5.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.404 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.406 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.406 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.406 * [taylor]: Taking taylor expansion of 1/2 in im
5.406 * [backup-simplify]: Simplify 1/2 into 1/2
5.406 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.406 * [taylor]: Taking taylor expansion of im in im
5.406 * [backup-simplify]: Simplify 0 into 0
5.406 * [backup-simplify]: Simplify 1 into 1
5.406 * [backup-simplify]: Simplify (* 1 1) into 1
5.407 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.408 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify 0 into 0
5.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.411 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.411 * [backup-simplify]: Simplify (+ 0 0) into 0
5.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.412 * [taylor]: Taking taylor expansion of 0 in im
5.412 * [backup-simplify]: Simplify 0 into 0
5.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.420 * [backup-simplify]: Simplify 0 into 0
5.420 * [backup-simplify]: Simplify 0 into 0
5.420 * [backup-simplify]: Simplify 0 into 0
5.420 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.421 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.421 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.421 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.421 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.421 * [taylor]: Taking taylor expansion of re in im
5.421 * [backup-simplify]: Simplify re into re
5.421 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.421 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.421 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.421 * [taylor]: Taking taylor expansion of im in im
5.421 * [backup-simplify]: Simplify 0 into 0
5.421 * [backup-simplify]: Simplify 1 into 1
5.422 * [backup-simplify]: Simplify (* 1 1) into 1
5.422 * [backup-simplify]: Simplify (/ 1 1) into 1
5.423 * [backup-simplify]: Simplify (+ 0 1) into 1
5.423 * [backup-simplify]: Simplify (sqrt 1) into 1
5.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.425 * [backup-simplify]: Simplify (+ 0 0) into 0
5.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.425 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.425 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.425 * [taylor]: Taking taylor expansion of re in re
5.425 * [backup-simplify]: Simplify 0 into 0
5.425 * [backup-simplify]: Simplify 1 into 1
5.425 * [backup-simplify]: Simplify (* 1 1) into 1
5.426 * [backup-simplify]: Simplify (/ 1 1) into 1
5.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.426 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.426 * [taylor]: Taking taylor expansion of im in re
5.426 * [backup-simplify]: Simplify im into im
5.426 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.426 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.426 * [backup-simplify]: Simplify (+ 1 0) into 1
5.426 * [backup-simplify]: Simplify (sqrt 1) into 1
5.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.428 * [backup-simplify]: Simplify (+ 0 0) into 0
5.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.428 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.428 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.428 * [taylor]: Taking taylor expansion of re in re
5.428 * [backup-simplify]: Simplify 0 into 0
5.428 * [backup-simplify]: Simplify 1 into 1
5.428 * [backup-simplify]: Simplify (* 1 1) into 1
5.429 * [backup-simplify]: Simplify (/ 1 1) into 1
5.429 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.429 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.429 * [taylor]: Taking taylor expansion of im in re
5.429 * [backup-simplify]: Simplify im into im
5.429 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.429 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.429 * [backup-simplify]: Simplify (+ 1 0) into 1
5.429 * [backup-simplify]: Simplify (sqrt 1) into 1
5.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.430 * [backup-simplify]: Simplify (+ 0 0) into 0
5.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.431 * [taylor]: Taking taylor expansion of 1 in im
5.431 * [backup-simplify]: Simplify 1 into 1
5.431 * [taylor]: Taking taylor expansion of 0 in im
5.431 * [backup-simplify]: Simplify 0 into 0
5.431 * [backup-simplify]: Simplify 1 into 1
5.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.432 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.433 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.433 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.433 * [taylor]: Taking taylor expansion of 1/2 in im
5.433 * [backup-simplify]: Simplify 1/2 into 1/2
5.433 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.433 * [taylor]: Taking taylor expansion of im in im
5.433 * [backup-simplify]: Simplify 0 into 0
5.433 * [backup-simplify]: Simplify 1 into 1
5.433 * [backup-simplify]: Simplify (* 1 1) into 1
5.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.435 * [backup-simplify]: Simplify 0 into 0
5.435 * [backup-simplify]: Simplify 0 into 0
5.435 * [backup-simplify]: Simplify 0 into 0
5.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.436 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.436 * [backup-simplify]: Simplify (+ 0 0) into 0
5.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.437 * [taylor]: Taking taylor expansion of 0 in im
5.437 * [backup-simplify]: Simplify 0 into 0
5.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.438 * [backup-simplify]: Simplify 0 into 0
5.438 * [backup-simplify]: Simplify 0 into 0
5.438 * [backup-simplify]: Simplify 0 into 0
5.438 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.438 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
5.439 * [backup-simplify]: Simplify (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
5.439 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
5.439 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
5.439 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.439 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.439 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.439 * [taylor]: Taking taylor expansion of im in im
5.439 * [backup-simplify]: Simplify 0 into 0
5.439 * [backup-simplify]: Simplify 1 into 1
5.439 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.439 * [taylor]: Taking taylor expansion of re in im
5.439 * [backup-simplify]: Simplify re into re
5.439 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.439 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.439 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.439 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.439 * [backup-simplify]: Simplify (+ 0 0) into 0
5.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.440 * [taylor]: Taking taylor expansion of re in im
5.440 * [backup-simplify]: Simplify re into re
5.440 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
5.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.440 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.440 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.440 * [taylor]: Taking taylor expansion of im in re
5.440 * [backup-simplify]: Simplify im into im
5.440 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.440 * [taylor]: Taking taylor expansion of re in re
5.440 * [backup-simplify]: Simplify 0 into 0
5.440 * [backup-simplify]: Simplify 1 into 1
5.440 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.440 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.440 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.440 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.440 * [backup-simplify]: Simplify (+ 0 0) into 0
5.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.440 * [taylor]: Taking taylor expansion of re in re
5.440 * [backup-simplify]: Simplify 0 into 0
5.440 * [backup-simplify]: Simplify 1 into 1
5.440 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
5.441 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.441 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.441 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.441 * [taylor]: Taking taylor expansion of im in re
5.441 * [backup-simplify]: Simplify im into im
5.441 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.441 * [taylor]: Taking taylor expansion of re in re
5.441 * [backup-simplify]: Simplify 0 into 0
5.441 * [backup-simplify]: Simplify 1 into 1
5.441 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.441 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.441 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.441 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.441 * [backup-simplify]: Simplify (+ 0 0) into 0
5.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.441 * [taylor]: Taking taylor expansion of re in re
5.441 * [backup-simplify]: Simplify 0 into 0
5.441 * [backup-simplify]: Simplify 1 into 1
5.442 * [backup-simplify]: Simplify (- 0) into 0
5.442 * [backup-simplify]: Simplify (+ im 0) into im
5.442 * [taylor]: Taking taylor expansion of im in im
5.442 * [backup-simplify]: Simplify 0 into 0
5.442 * [backup-simplify]: Simplify 1 into 1
5.442 * [backup-simplify]: Simplify 0 into 0
5.442 * [backup-simplify]: Simplify (- 1) into -1
5.442 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.442 * [taylor]: Taking taylor expansion of -1 in im
5.442 * [backup-simplify]: Simplify -1 into -1
5.442 * [backup-simplify]: Simplify -1 into -1
5.442 * [backup-simplify]: Simplify 1 into 1
5.443 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.443 * [backup-simplify]: Simplify (* 1 1) into 1
5.443 * [backup-simplify]: Simplify (+ 0 1) into 1
5.444 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.444 * [backup-simplify]: Simplify (- 0) into 0
5.444 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
5.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
5.444 * [taylor]: Taking taylor expansion of 1/2 in im
5.444 * [backup-simplify]: Simplify 1/2 into 1/2
5.444 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.444 * [taylor]: Taking taylor expansion of im in im
5.444 * [backup-simplify]: Simplify 0 into 0
5.444 * [backup-simplify]: Simplify 1 into 1
5.444 * [backup-simplify]: Simplify (/ 1 1) into 1
5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [backup-simplify]: Simplify 0 into 0
5.446 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.446 * [backup-simplify]: Simplify (+ 0 0) into 0
5.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.447 * [backup-simplify]: Simplify (- 0) into 0
5.447 * [backup-simplify]: Simplify (+ 0 0) into 0
5.447 * [taylor]: Taking taylor expansion of 0 in im
5.447 * [backup-simplify]: Simplify 0 into 0
5.447 * [backup-simplify]: Simplify 0 into 0
5.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.449 * [backup-simplify]: Simplify 0 into 0
5.449 * [backup-simplify]: Simplify 0 into 0
5.449 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
5.450 * [backup-simplify]: Simplify (- (* (* (cbrt (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (cbrt (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (cbrt (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))
5.450 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
5.450 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
5.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.450 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.450 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.450 * [taylor]: Taking taylor expansion of re in im
5.450 * [backup-simplify]: Simplify re into re
5.450 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.450 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.450 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.450 * [taylor]: Taking taylor expansion of im in im
5.450 * [backup-simplify]: Simplify 0 into 0
5.450 * [backup-simplify]: Simplify 1 into 1
5.450 * [backup-simplify]: Simplify (* 1 1) into 1
5.451 * [backup-simplify]: Simplify (/ 1 1) into 1
5.451 * [backup-simplify]: Simplify (+ 0 1) into 1
5.451 * [backup-simplify]: Simplify (sqrt 1) into 1
5.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.452 * [backup-simplify]: Simplify (+ 0 0) into 0
5.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.453 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.453 * [taylor]: Taking taylor expansion of re in im
5.453 * [backup-simplify]: Simplify re into re
5.453 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.453 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
5.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.453 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.453 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.453 * [taylor]: Taking taylor expansion of re in re
5.453 * [backup-simplify]: Simplify 0 into 0
5.453 * [backup-simplify]: Simplify 1 into 1
5.454 * [backup-simplify]: Simplify (* 1 1) into 1
5.454 * [backup-simplify]: Simplify (/ 1 1) into 1
5.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.454 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.454 * [taylor]: Taking taylor expansion of im in re
5.454 * [backup-simplify]: Simplify im into im
5.454 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.455 * [backup-simplify]: Simplify (+ 1 0) into 1
5.455 * [backup-simplify]: Simplify (sqrt 1) into 1
5.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.457 * [backup-simplify]: Simplify (+ 0 0) into 0
5.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.458 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.458 * [taylor]: Taking taylor expansion of re in re
5.458 * [backup-simplify]: Simplify 0 into 0
5.458 * [backup-simplify]: Simplify 1 into 1
5.458 * [backup-simplify]: Simplify (/ 1 1) into 1
5.458 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
5.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.458 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.458 * [taylor]: Taking taylor expansion of re in re
5.458 * [backup-simplify]: Simplify 0 into 0
5.458 * [backup-simplify]: Simplify 1 into 1
5.459 * [backup-simplify]: Simplify (* 1 1) into 1
5.459 * [backup-simplify]: Simplify (/ 1 1) into 1
5.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.459 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.459 * [taylor]: Taking taylor expansion of im in re
5.459 * [backup-simplify]: Simplify im into im
5.459 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.459 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.460 * [backup-simplify]: Simplify (+ 1 0) into 1
5.460 * [backup-simplify]: Simplify (sqrt 1) into 1
5.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.462 * [backup-simplify]: Simplify (+ 0 0) into 0
5.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.463 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.463 * [taylor]: Taking taylor expansion of re in re
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 1 into 1
5.463 * [backup-simplify]: Simplify (/ 1 1) into 1
5.464 * [backup-simplify]: Simplify (- 1) into -1
5.464 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.464 * [taylor]: Taking taylor expansion of 0 in im
5.464 * [backup-simplify]: Simplify 0 into 0
5.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.465 * [backup-simplify]: Simplify (- 0) into 0
5.466 * [backup-simplify]: Simplify (+ 0 0) into 0
5.466 * [taylor]: Taking taylor expansion of 0 in im
5.466 * [backup-simplify]: Simplify 0 into 0
5.466 * [backup-simplify]: Simplify 0 into 0
5.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.468 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.469 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.470 * [backup-simplify]: Simplify (- 0) into 0
5.471 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.471 * [taylor]: Taking taylor expansion of 1/2 in im
5.471 * [backup-simplify]: Simplify 1/2 into 1/2
5.471 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.471 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.471 * [taylor]: Taking taylor expansion of im in im
5.471 * [backup-simplify]: Simplify 0 into 0
5.471 * [backup-simplify]: Simplify 1 into 1
5.471 * [backup-simplify]: Simplify (* 1 1) into 1
5.472 * [backup-simplify]: Simplify (/ 1 1) into 1
5.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.474 * [backup-simplify]: Simplify 0 into 0
5.474 * [backup-simplify]: Simplify 0 into 0
5.474 * [backup-simplify]: Simplify 0 into 0
5.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.476 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.477 * [backup-simplify]: Simplify (+ 0 0) into 0
5.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.479 * [backup-simplify]: Simplify (- 0) into 0
5.479 * [backup-simplify]: Simplify (+ 0 0) into 0
5.479 * [taylor]: Taking taylor expansion of 0 in im
5.479 * [backup-simplify]: Simplify 0 into 0
5.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.482 * [backup-simplify]: Simplify 0 into 0
5.482 * [backup-simplify]: Simplify 0 into 0
5.482 * [backup-simplify]: Simplify 0 into 0
5.483 * [backup-simplify]: Simplify (- (* (* (cbrt (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (cbrt (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (cbrt (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)))))
5.484 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
5.484 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.484 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.484 * [taylor]: Taking taylor expansion of re in im
5.484 * [backup-simplify]: Simplify re into re
5.484 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.484 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.484 * [taylor]: Taking taylor expansion of re in im
5.484 * [backup-simplify]: Simplify re into re
5.484 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.484 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.484 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.484 * [taylor]: Taking taylor expansion of im in im
5.484 * [backup-simplify]: Simplify 0 into 0
5.484 * [backup-simplify]: Simplify 1 into 1
5.484 * [backup-simplify]: Simplify (* 1 1) into 1
5.485 * [backup-simplify]: Simplify (/ 1 1) into 1
5.485 * [backup-simplify]: Simplify (+ 0 1) into 1
5.485 * [backup-simplify]: Simplify (sqrt 1) into 1
5.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.486 * [backup-simplify]: Simplify (+ 0 0) into 0
5.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.487 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.487 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.487 * [taylor]: Taking taylor expansion of re in re
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify 1 into 1
5.487 * [backup-simplify]: Simplify (/ 1 1) into 1
5.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.487 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.487 * [taylor]: Taking taylor expansion of re in re
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify 1 into 1
5.487 * [backup-simplify]: Simplify (* 1 1) into 1
5.488 * [backup-simplify]: Simplify (/ 1 1) into 1
5.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.488 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.488 * [taylor]: Taking taylor expansion of im in re
5.488 * [backup-simplify]: Simplify im into im
5.488 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.488 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.488 * [backup-simplify]: Simplify (+ 1 0) into 1
5.488 * [backup-simplify]: Simplify (sqrt 1) into 1
5.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.490 * [backup-simplify]: Simplify (+ 0 0) into 0
5.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.490 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.490 * [taylor]: Taking taylor expansion of re in re
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify 1 into 1
5.490 * [backup-simplify]: Simplify (/ 1 1) into 1
5.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.490 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.490 * [taylor]: Taking taylor expansion of re in re
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify 1 into 1
5.491 * [backup-simplify]: Simplify (* 1 1) into 1
5.491 * [backup-simplify]: Simplify (/ 1 1) into 1
5.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.491 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.491 * [taylor]: Taking taylor expansion of im in re
5.491 * [backup-simplify]: Simplify im into im
5.491 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.491 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.492 * [backup-simplify]: Simplify (+ 1 0) into 1
5.492 * [backup-simplify]: Simplify (sqrt 1) into 1
5.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.493 * [backup-simplify]: Simplify (+ 0 0) into 0
5.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.494 * [backup-simplify]: Simplify (+ 1 1) into 2
5.494 * [taylor]: Taking taylor expansion of 2 in im
5.494 * [backup-simplify]: Simplify 2 into 2
5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.494 * [backup-simplify]: Simplify (+ 0 0) into 0
5.494 * [taylor]: Taking taylor expansion of 0 in im
5.494 * [backup-simplify]: Simplify 0 into 0
5.494 * [backup-simplify]: Simplify 2 into 2
5.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.496 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.497 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.497 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
5.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.497 * [taylor]: Taking taylor expansion of 1/2 in im
5.497 * [backup-simplify]: Simplify 1/2 into 1/2
5.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.497 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.497 * [taylor]: Taking taylor expansion of im in im
5.497 * [backup-simplify]: Simplify 0 into 0
5.497 * [backup-simplify]: Simplify 1 into 1
5.497 * [backup-simplify]: Simplify (* 1 1) into 1
5.498 * [backup-simplify]: Simplify (/ 1 1) into 1
5.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.499 * [backup-simplify]: Simplify 0 into 0
5.499 * [backup-simplify]: Simplify 0 into 0
5.499 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.501 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.501 * [backup-simplify]: Simplify (+ 0 0) into 0
5.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.502 * [backup-simplify]: Simplify (+ 0 0) into 0
5.502 * [taylor]: Taking taylor expansion of 0 in im
5.502 * [backup-simplify]: Simplify 0 into 0
5.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
5.504 * * * [progress]: simplifying candidates
5.505 * [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 (* (* (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 re))
  (log (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))
  (exp (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))
  (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))
  (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))
  (* (* (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re) (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))
  (sqrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))
  (sqrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))
  (- (pow (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) 3) (pow re 3))
  (+ (* (* (* (cbrt (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)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))) (+ (* re re) (* (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))
  (- re)
  (- (* (* (* (cbrt (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)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))) (* re re))
  (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)
  (- re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
5.506 * * [simplify]: iteration 0: 67 enodes
5.519 * * [simplify]: iteration 1: 157 enodes
5.580 * * [simplify]: iteration 2: 421 enodes
5.771 * * [simplify]: iteration 3: 1320 enodes
6.240 * * [simplify]: iteration complete: 5000 enodes
6.240 * * [simplify]: Extracting #0: cost 31 inf + 0
6.241 * * [simplify]: Extracting #1: cost 305 inf + 88
6.243 * * [simplify]: Extracting #2: cost 942 inf + 1330
6.254 * * [simplify]: Extracting #3: cost 1492 inf + 26416
6.326 * * [simplify]: Extracting #4: cost 865 inf + 277381
6.451 * * [simplify]: Extracting #5: cost 127 inf + 574186
6.610 * * [simplify]: Extracting #6: cost 19 inf + 605683
6.738 * * [simplify]: Extracting #7: cost 0 inf + 609470
6.845 * * [simplify]: Extracting #8: cost 0 inf + 609430
6.992 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re)))
  (+ (* re (sqrt (+ (* re re) (* im im)))) (+ (* re re) (+ (* re re) (* im im))))
  (- re)
  (+ (* im im) 0)
  (+ re (sqrt (+ (* re re) (* im im))))
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (- im re)
  0
  (* re -2)
7.013 * * * [progress]: adding candidates to table
7.556 * * [progress]: iteration 4 / 4
7.556 * * * [progress]: picking best candidate
7.589 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))>
7.590 * * * [progress]: localizing error
7.735 * * * [progress]: generating rewritten candidates
7.735 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1 1 1)
7.742 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 2 1 1 1)
7.749 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1 1 1 1)
7.759 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1 1 1)
7.774 * * * [progress]: generating series expansions
7.774 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1 1 1)
7.774 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.774 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.774 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.774 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.774 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.774 * [taylor]: Taking taylor expansion of im in im
7.774 * [backup-simplify]: Simplify 0 into 0
7.774 * [backup-simplify]: Simplify 1 into 1
7.774 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.774 * [taylor]: Taking taylor expansion of re in im
7.774 * [backup-simplify]: Simplify re into re
7.774 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.775 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.775 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.775 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.776 * [backup-simplify]: Simplify (+ 0 0) into 0
7.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.776 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.776 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.776 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.776 * [taylor]: Taking taylor expansion of im in re
7.776 * [backup-simplify]: Simplify im into im
7.776 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.776 * [taylor]: Taking taylor expansion of re in re
7.776 * [backup-simplify]: Simplify 0 into 0
7.776 * [backup-simplify]: Simplify 1 into 1
7.776 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.776 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.776 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.776 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.777 * [backup-simplify]: Simplify (+ 0 0) into 0
7.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.777 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.777 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.777 * [taylor]: Taking taylor expansion of im in re
7.777 * [backup-simplify]: Simplify im into im
7.777 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.777 * [taylor]: Taking taylor expansion of re in re
7.777 * [backup-simplify]: Simplify 0 into 0
7.777 * [backup-simplify]: Simplify 1 into 1
7.777 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.778 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.778 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.778 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.778 * [backup-simplify]: Simplify (+ 0 0) into 0
7.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.779 * [taylor]: Taking taylor expansion of im in im
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 1 into 1
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [taylor]: Taking taylor expansion of 0 in im
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 1 into 1
7.779 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.780 * [backup-simplify]: Simplify (* 1 1) into 1
7.780 * [backup-simplify]: Simplify (+ 0 1) into 1
7.781 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.781 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.781 * [taylor]: Taking taylor expansion of 1/2 in im
7.781 * [backup-simplify]: Simplify 1/2 into 1/2
7.781 * [taylor]: Taking taylor expansion of im in im
7.781 * [backup-simplify]: Simplify 0 into 0
7.781 * [backup-simplify]: Simplify 1 into 1
7.782 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.782 * [backup-simplify]: Simplify 0 into 0
7.782 * [backup-simplify]: Simplify 0 into 0
7.783 * [backup-simplify]: Simplify 0 into 0
7.783 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.784 * [backup-simplify]: Simplify (+ 0 0) into 0
7.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.785 * [taylor]: Taking taylor expansion of 0 in im
7.785 * [backup-simplify]: Simplify 0 into 0
7.785 * [backup-simplify]: Simplify 0 into 0
7.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.786 * [backup-simplify]: Simplify 0 into 0
7.786 * [backup-simplify]: Simplify 0 into 0
7.786 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.786 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.786 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.786 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.786 * [taylor]: Taking taylor expansion of re in im
7.786 * [backup-simplify]: Simplify re into re
7.787 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.787 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.787 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.787 * [taylor]: Taking taylor expansion of im in im
7.787 * [backup-simplify]: Simplify 0 into 0
7.787 * [backup-simplify]: Simplify 1 into 1
7.787 * [backup-simplify]: Simplify (* 1 1) into 1
7.788 * [backup-simplify]: Simplify (/ 1 1) into 1
7.788 * [backup-simplify]: Simplify (+ 0 1) into 1
7.789 * [backup-simplify]: Simplify (sqrt 1) into 1
7.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.790 * [backup-simplify]: Simplify (+ 0 0) into 0
7.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.791 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.791 * [taylor]: Taking taylor expansion of re in re
7.791 * [backup-simplify]: Simplify 0 into 0
7.791 * [backup-simplify]: Simplify 1 into 1
7.792 * [backup-simplify]: Simplify (* 1 1) into 1
7.792 * [backup-simplify]: Simplify (/ 1 1) into 1
7.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.792 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.792 * [taylor]: Taking taylor expansion of im in re
7.792 * [backup-simplify]: Simplify im into im
7.792 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.792 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.793 * [backup-simplify]: Simplify (+ 1 0) into 1
7.793 * [backup-simplify]: Simplify (sqrt 1) into 1
7.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.795 * [backup-simplify]: Simplify (+ 0 0) into 0
7.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.796 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.796 * [taylor]: Taking taylor expansion of re in re
7.796 * [backup-simplify]: Simplify 0 into 0
7.796 * [backup-simplify]: Simplify 1 into 1
7.797 * [backup-simplify]: Simplify (* 1 1) into 1
7.797 * [backup-simplify]: Simplify (/ 1 1) into 1
7.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.797 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.797 * [taylor]: Taking taylor expansion of im in re
7.797 * [backup-simplify]: Simplify im into im
7.798 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.798 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.798 * [backup-simplify]: Simplify (+ 1 0) into 1
7.799 * [backup-simplify]: Simplify (sqrt 1) into 1
7.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.800 * [backup-simplify]: Simplify (+ 0 0) into 0
7.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.801 * [taylor]: Taking taylor expansion of 1 in im
7.801 * [backup-simplify]: Simplify 1 into 1
7.801 * [taylor]: Taking taylor expansion of 0 in im
7.801 * [backup-simplify]: Simplify 0 into 0
7.801 * [backup-simplify]: Simplify 1 into 1
7.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.803 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.805 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.805 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.805 * [taylor]: Taking taylor expansion of 1/2 in im
7.805 * [backup-simplify]: Simplify 1/2 into 1/2
7.805 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.805 * [taylor]: Taking taylor expansion of im in im
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify 1 into 1
7.806 * [backup-simplify]: Simplify (* 1 1) into 1
7.806 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.808 * [backup-simplify]: Simplify 0 into 0
7.808 * [backup-simplify]: Simplify 0 into 0
7.808 * [backup-simplify]: Simplify 0 into 0
7.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.810 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.811 * [backup-simplify]: Simplify (+ 0 0) into 0
7.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.812 * [taylor]: Taking taylor expansion of 0 in im
7.812 * [backup-simplify]: Simplify 0 into 0
7.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.814 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.814 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.814 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.815 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.815 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.815 * [taylor]: Taking taylor expansion of re in im
7.815 * [backup-simplify]: Simplify re into re
7.815 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.815 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.815 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.815 * [taylor]: Taking taylor expansion of im in im
7.815 * [backup-simplify]: Simplify 0 into 0
7.815 * [backup-simplify]: Simplify 1 into 1
7.815 * [backup-simplify]: Simplify (* 1 1) into 1
7.816 * [backup-simplify]: Simplify (/ 1 1) into 1
7.816 * [backup-simplify]: Simplify (+ 0 1) into 1
7.817 * [backup-simplify]: Simplify (sqrt 1) into 1
7.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.818 * [backup-simplify]: Simplify (+ 0 0) into 0
7.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.819 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.819 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.819 * [taylor]: Taking taylor expansion of re in re
7.819 * [backup-simplify]: Simplify 0 into 0
7.819 * [backup-simplify]: Simplify 1 into 1
7.820 * [backup-simplify]: Simplify (* 1 1) into 1
7.820 * [backup-simplify]: Simplify (/ 1 1) into 1
7.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.820 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.820 * [taylor]: Taking taylor expansion of im in re
7.820 * [backup-simplify]: Simplify im into im
7.820 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.821 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.821 * [backup-simplify]: Simplify (+ 1 0) into 1
7.821 * [backup-simplify]: Simplify (sqrt 1) into 1
7.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.823 * [backup-simplify]: Simplify (+ 0 0) into 0
7.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.824 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.824 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.824 * [taylor]: Taking taylor expansion of re in re
7.824 * [backup-simplify]: Simplify 0 into 0
7.824 * [backup-simplify]: Simplify 1 into 1
7.825 * [backup-simplify]: Simplify (* 1 1) into 1
7.825 * [backup-simplify]: Simplify (/ 1 1) into 1
7.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.825 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.825 * [taylor]: Taking taylor expansion of im in re
7.825 * [backup-simplify]: Simplify im into im
7.825 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.825 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.826 * [backup-simplify]: Simplify (+ 1 0) into 1
7.826 * [backup-simplify]: Simplify (sqrt 1) into 1
7.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.828 * [backup-simplify]: Simplify (+ 0 0) into 0
7.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.829 * [taylor]: Taking taylor expansion of 1 in im
7.829 * [backup-simplify]: Simplify 1 into 1
7.829 * [taylor]: Taking taylor expansion of 0 in im
7.829 * [backup-simplify]: Simplify 0 into 0
7.829 * [backup-simplify]: Simplify 1 into 1
7.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.831 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.832 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.832 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.832 * [taylor]: Taking taylor expansion of 1/2 in im
7.832 * [backup-simplify]: Simplify 1/2 into 1/2
7.832 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.832 * [taylor]: Taking taylor expansion of im in im
7.832 * [backup-simplify]: Simplify 0 into 0
7.832 * [backup-simplify]: Simplify 1 into 1
7.833 * [backup-simplify]: Simplify (* 1 1) into 1
7.833 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.835 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify 0 into 0
7.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.837 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.838 * [backup-simplify]: Simplify (+ 0 0) into 0
7.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.839 * [taylor]: Taking taylor expansion of 0 in im
7.839 * [backup-simplify]: Simplify 0 into 0
7.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.841 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 2 1 1 1)
7.841 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.841 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.841 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.841 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.841 * [taylor]: Taking taylor expansion of im in im
7.842 * [backup-simplify]: Simplify 0 into 0
7.842 * [backup-simplify]: Simplify 1 into 1
7.842 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.842 * [taylor]: Taking taylor expansion of re in im
7.842 * [backup-simplify]: Simplify re into re
7.842 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.842 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.842 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.842 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.843 * [backup-simplify]: Simplify (+ 0 0) into 0
7.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.843 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.843 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.843 * [taylor]: Taking taylor expansion of im in re
7.843 * [backup-simplify]: Simplify im into im
7.843 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.843 * [taylor]: Taking taylor expansion of re in re
7.843 * [backup-simplify]: Simplify 0 into 0
7.843 * [backup-simplify]: Simplify 1 into 1
7.843 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.843 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.843 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.843 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.844 * [backup-simplify]: Simplify (+ 0 0) into 0
7.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.844 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.844 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.844 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.844 * [taylor]: Taking taylor expansion of im in re
7.844 * [backup-simplify]: Simplify im into im
7.844 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.844 * [taylor]: Taking taylor expansion of re in re
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [backup-simplify]: Simplify 1 into 1
7.844 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.844 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.845 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.845 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.845 * [backup-simplify]: Simplify (+ 0 0) into 0
7.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.845 * [taylor]: Taking taylor expansion of im in im
7.845 * [backup-simplify]: Simplify 0 into 0
7.845 * [backup-simplify]: Simplify 1 into 1
7.845 * [backup-simplify]: Simplify 0 into 0
7.846 * [taylor]: Taking taylor expansion of 0 in im
7.846 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify 1 into 1
7.846 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.846 * [backup-simplify]: Simplify (* 1 1) into 1
7.847 * [backup-simplify]: Simplify (+ 0 1) into 1
7.848 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.848 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.848 * [taylor]: Taking taylor expansion of 1/2 in im
7.848 * [backup-simplify]: Simplify 1/2 into 1/2
7.848 * [taylor]: Taking taylor expansion of im in im
7.848 * [backup-simplify]: Simplify 0 into 0
7.848 * [backup-simplify]: Simplify 1 into 1
7.848 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 0 into 0
7.850 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.851 * [backup-simplify]: Simplify (+ 0 0) into 0
7.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.851 * [taylor]: Taking taylor expansion of 0 in im
7.851 * [backup-simplify]: Simplify 0 into 0
7.851 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.853 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.853 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.853 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.853 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.853 * [taylor]: Taking taylor expansion of re in im
7.853 * [backup-simplify]: Simplify re into re
7.853 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.853 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.854 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.854 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.854 * [taylor]: Taking taylor expansion of im in im
7.854 * [backup-simplify]: Simplify 0 into 0
7.854 * [backup-simplify]: Simplify 1 into 1
7.854 * [backup-simplify]: Simplify (* 1 1) into 1
7.854 * [backup-simplify]: Simplify (/ 1 1) into 1
7.855 * [backup-simplify]: Simplify (+ 0 1) into 1
7.855 * [backup-simplify]: Simplify (sqrt 1) into 1
7.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.857 * [backup-simplify]: Simplify (+ 0 0) into 0
7.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.858 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.858 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.858 * [taylor]: Taking taylor expansion of re in re
7.858 * [backup-simplify]: Simplify 0 into 0
7.858 * [backup-simplify]: Simplify 1 into 1
7.859 * [backup-simplify]: Simplify (* 1 1) into 1
7.859 * [backup-simplify]: Simplify (/ 1 1) into 1
7.859 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.859 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.859 * [taylor]: Taking taylor expansion of im in re
7.859 * [backup-simplify]: Simplify im into im
7.859 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.859 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.860 * [backup-simplify]: Simplify (+ 1 0) into 1
7.860 * [backup-simplify]: Simplify (sqrt 1) into 1
7.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.863 * [backup-simplify]: Simplify (+ 0 0) into 0
7.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.863 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.863 * [taylor]: Taking taylor expansion of re in re
7.863 * [backup-simplify]: Simplify 0 into 0
7.864 * [backup-simplify]: Simplify 1 into 1
7.864 * [backup-simplify]: Simplify (* 1 1) into 1
7.864 * [backup-simplify]: Simplify (/ 1 1) into 1
7.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.864 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.864 * [taylor]: Taking taylor expansion of im in re
7.864 * [backup-simplify]: Simplify im into im
7.865 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.865 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.865 * [backup-simplify]: Simplify (+ 1 0) into 1
7.866 * [backup-simplify]: Simplify (sqrt 1) into 1
7.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.867 * [backup-simplify]: Simplify (+ 0 0) into 0
7.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.868 * [taylor]: Taking taylor expansion of 1 in im
7.868 * [backup-simplify]: Simplify 1 into 1
7.868 * [taylor]: Taking taylor expansion of 0 in im
7.868 * [backup-simplify]: Simplify 0 into 0
7.868 * [backup-simplify]: Simplify 1 into 1
7.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.870 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.872 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.872 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.872 * [taylor]: Taking taylor expansion of 1/2 in im
7.872 * [backup-simplify]: Simplify 1/2 into 1/2
7.872 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.872 * [taylor]: Taking taylor expansion of im in im
7.872 * [backup-simplify]: Simplify 0 into 0
7.872 * [backup-simplify]: Simplify 1 into 1
7.872 * [backup-simplify]: Simplify (* 1 1) into 1
7.873 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [backup-simplify]: Simplify 0 into 0
7.875 * [backup-simplify]: Simplify 0 into 0
7.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.877 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.878 * [backup-simplify]: Simplify (+ 0 0) into 0
7.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.878 * [taylor]: Taking taylor expansion of 0 in im
7.878 * [backup-simplify]: Simplify 0 into 0
7.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.881 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.881 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.881 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.881 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.881 * [taylor]: Taking taylor expansion of re in im
7.881 * [backup-simplify]: Simplify re into re
7.881 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.882 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.882 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.882 * [taylor]: Taking taylor expansion of im in im
7.882 * [backup-simplify]: Simplify 0 into 0
7.882 * [backup-simplify]: Simplify 1 into 1
7.882 * [backup-simplify]: Simplify (* 1 1) into 1
7.882 * [backup-simplify]: Simplify (/ 1 1) into 1
7.883 * [backup-simplify]: Simplify (+ 0 1) into 1
7.883 * [backup-simplify]: Simplify (sqrt 1) into 1
7.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.885 * [backup-simplify]: Simplify (+ 0 0) into 0
7.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.886 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.886 * [taylor]: Taking taylor expansion of re in re
7.886 * [backup-simplify]: Simplify 0 into 0
7.886 * [backup-simplify]: Simplify 1 into 1
7.886 * [backup-simplify]: Simplify (* 1 1) into 1
7.887 * [backup-simplify]: Simplify (/ 1 1) into 1
7.887 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.887 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.887 * [taylor]: Taking taylor expansion of im in re
7.887 * [backup-simplify]: Simplify im into im
7.887 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.887 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.887 * [backup-simplify]: Simplify (+ 1 0) into 1
7.888 * [backup-simplify]: Simplify (sqrt 1) into 1
7.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.890 * [backup-simplify]: Simplify (+ 0 0) into 0
7.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.890 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.890 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.890 * [taylor]: Taking taylor expansion of re in re
7.890 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 1 into 1
7.891 * [backup-simplify]: Simplify (* 1 1) into 1
7.891 * [backup-simplify]: Simplify (/ 1 1) into 1
7.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.891 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.891 * [taylor]: Taking taylor expansion of im in re
7.891 * [backup-simplify]: Simplify im into im
7.891 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.892 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.892 * [backup-simplify]: Simplify (+ 1 0) into 1
7.892 * [backup-simplify]: Simplify (sqrt 1) into 1
7.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.894 * [backup-simplify]: Simplify (+ 0 0) into 0
7.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.895 * [taylor]: Taking taylor expansion of 1 in im
7.895 * [backup-simplify]: Simplify 1 into 1
7.895 * [taylor]: Taking taylor expansion of 0 in im
7.895 * [backup-simplify]: Simplify 0 into 0
7.895 * [backup-simplify]: Simplify 1 into 1
7.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.897 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.898 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.898 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.899 * [taylor]: Taking taylor expansion of 1/2 in im
7.899 * [backup-simplify]: Simplify 1/2 into 1/2
7.899 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.899 * [taylor]: Taking taylor expansion of im in im
7.899 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify 1 into 1
7.899 * [backup-simplify]: Simplify (* 1 1) into 1
7.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.903 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.904 * [backup-simplify]: Simplify (+ 0 0) into 0
7.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.905 * [taylor]: Taking taylor expansion of 0 in im
7.905 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.907 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1 1 1 1 1 1 1)
7.907 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.907 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.907 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.907 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.907 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.907 * [taylor]: Taking taylor expansion of im in im
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 1 into 1
7.907 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.907 * [taylor]: Taking taylor expansion of re in im
7.907 * [backup-simplify]: Simplify re into re
7.907 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.908 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.908 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.908 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.913 * [backup-simplify]: Simplify (+ 0 0) into 0
7.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.913 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.913 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.914 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.914 * [taylor]: Taking taylor expansion of im in re
7.914 * [backup-simplify]: Simplify im into im
7.914 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.914 * [taylor]: Taking taylor expansion of re in re
7.914 * [backup-simplify]: Simplify 0 into 0
7.914 * [backup-simplify]: Simplify 1 into 1
7.914 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.914 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.914 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.914 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.915 * [backup-simplify]: Simplify (+ 0 0) into 0
7.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.915 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.915 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.915 * [taylor]: Taking taylor expansion of im in re
7.915 * [backup-simplify]: Simplify im into im
7.915 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.915 * [taylor]: Taking taylor expansion of re in re
7.915 * [backup-simplify]: Simplify 0 into 0
7.915 * [backup-simplify]: Simplify 1 into 1
7.915 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.916 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.916 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.916 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.916 * [backup-simplify]: Simplify (+ 0 0) into 0
7.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.916 * [taylor]: Taking taylor expansion of im in im
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify 1 into 1
7.916 * [backup-simplify]: Simplify 0 into 0
7.917 * [taylor]: Taking taylor expansion of 0 in im
7.917 * [backup-simplify]: Simplify 0 into 0
7.917 * [backup-simplify]: Simplify 0 into 0
7.917 * [backup-simplify]: Simplify 1 into 1
7.917 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.917 * [backup-simplify]: Simplify (* 1 1) into 1
7.918 * [backup-simplify]: Simplify (+ 0 1) into 1
7.919 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.919 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.919 * [taylor]: Taking taylor expansion of 1/2 in im
7.919 * [backup-simplify]: Simplify 1/2 into 1/2
7.919 * [taylor]: Taking taylor expansion of im in im
7.919 * [backup-simplify]: Simplify 0 into 0
7.919 * [backup-simplify]: Simplify 1 into 1
7.919 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.920 * [backup-simplify]: Simplify 0 into 0
7.920 * [backup-simplify]: Simplify 0 into 0
7.920 * [backup-simplify]: Simplify 0 into 0
7.921 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.922 * [backup-simplify]: Simplify (+ 0 0) into 0
7.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.922 * [taylor]: Taking taylor expansion of 0 in im
7.923 * [backup-simplify]: Simplify 0 into 0
7.923 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.924 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.924 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.924 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.924 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.924 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.924 * [taylor]: Taking taylor expansion of re in im
7.924 * [backup-simplify]: Simplify re into re
7.925 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.925 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.925 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.925 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.925 * [taylor]: Taking taylor expansion of im in im
7.925 * [backup-simplify]: Simplify 0 into 0
7.925 * [backup-simplify]: Simplify 1 into 1
7.925 * [backup-simplify]: Simplify (* 1 1) into 1
7.926 * [backup-simplify]: Simplify (/ 1 1) into 1
7.926 * [backup-simplify]: Simplify (+ 0 1) into 1
7.926 * [backup-simplify]: Simplify (sqrt 1) into 1
7.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.928 * [backup-simplify]: Simplify (+ 0 0) into 0
7.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.929 * [taylor]: Taking taylor expansion of re in re
7.929 * [backup-simplify]: Simplify 0 into 0
7.929 * [backup-simplify]: Simplify 1 into 1
7.929 * [backup-simplify]: Simplify (* 1 1) into 1
7.930 * [backup-simplify]: Simplify (/ 1 1) into 1
7.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.930 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.930 * [taylor]: Taking taylor expansion of im in re
7.930 * [backup-simplify]: Simplify im into im
7.930 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.930 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.931 * [backup-simplify]: Simplify (+ 1 0) into 1
7.931 * [backup-simplify]: Simplify (sqrt 1) into 1
7.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.933 * [backup-simplify]: Simplify (+ 0 0) into 0
7.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.933 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.933 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.933 * [taylor]: Taking taylor expansion of re in re
7.933 * [backup-simplify]: Simplify 0 into 0
7.933 * [backup-simplify]: Simplify 1 into 1
7.934 * [backup-simplify]: Simplify (* 1 1) into 1
7.934 * [backup-simplify]: Simplify (/ 1 1) into 1
7.934 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.934 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.934 * [taylor]: Taking taylor expansion of im in re
7.934 * [backup-simplify]: Simplify im into im
7.934 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.935 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.935 * [backup-simplify]: Simplify (+ 1 0) into 1
7.935 * [backup-simplify]: Simplify (sqrt 1) into 1
7.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.937 * [backup-simplify]: Simplify (+ 0 0) into 0
7.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.938 * [taylor]: Taking taylor expansion of 1 in im
7.938 * [backup-simplify]: Simplify 1 into 1
7.938 * [taylor]: Taking taylor expansion of 0 in im
7.938 * [backup-simplify]: Simplify 0 into 0
7.938 * [backup-simplify]: Simplify 1 into 1
7.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.940 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.941 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.941 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.942 * [taylor]: Taking taylor expansion of 1/2 in im
7.942 * [backup-simplify]: Simplify 1/2 into 1/2
7.942 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.942 * [taylor]: Taking taylor expansion of im in im
7.942 * [backup-simplify]: Simplify 0 into 0
7.942 * [backup-simplify]: Simplify 1 into 1
7.942 * [backup-simplify]: Simplify (* 1 1) into 1
7.942 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.944 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.946 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.947 * [backup-simplify]: Simplify (+ 0 0) into 0
7.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.947 * [taylor]: Taking taylor expansion of 0 in im
7.947 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.950 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.950 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.950 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.950 * [taylor]: Taking taylor expansion of re in im
7.950 * [backup-simplify]: Simplify re into re
7.950 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.950 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.950 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.950 * [taylor]: Taking taylor expansion of im in im
7.950 * [backup-simplify]: Simplify 0 into 0
7.950 * [backup-simplify]: Simplify 1 into 1
7.951 * [backup-simplify]: Simplify (* 1 1) into 1
7.951 * [backup-simplify]: Simplify (/ 1 1) into 1
7.952 * [backup-simplify]: Simplify (+ 0 1) into 1
7.952 * [backup-simplify]: Simplify (sqrt 1) into 1
7.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.954 * [backup-simplify]: Simplify (+ 0 0) into 0
7.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.955 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.955 * [taylor]: Taking taylor expansion of re in re
7.955 * [backup-simplify]: Simplify 0 into 0
7.955 * [backup-simplify]: Simplify 1 into 1
7.955 * [backup-simplify]: Simplify (* 1 1) into 1
7.955 * [backup-simplify]: Simplify (/ 1 1) into 1
7.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.955 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.955 * [taylor]: Taking taylor expansion of im in re
7.955 * [backup-simplify]: Simplify im into im
7.956 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.956 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.956 * [backup-simplify]: Simplify (+ 1 0) into 1
7.957 * [backup-simplify]: Simplify (sqrt 1) into 1
7.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.959 * [backup-simplify]: Simplify (+ 0 0) into 0
7.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.960 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.960 * [taylor]: Taking taylor expansion of re in re
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify 1 into 1
7.960 * [backup-simplify]: Simplify (* 1 1) into 1
7.961 * [backup-simplify]: Simplify (/ 1 1) into 1
7.961 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.961 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.961 * [taylor]: Taking taylor expansion of im in re
7.961 * [backup-simplify]: Simplify im into im
7.961 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.961 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.961 * [backup-simplify]: Simplify (+ 1 0) into 1
7.962 * [backup-simplify]: Simplify (sqrt 1) into 1
7.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.963 * [backup-simplify]: Simplify (+ 0 0) into 0
7.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.964 * [taylor]: Taking taylor expansion of 1 in im
7.964 * [backup-simplify]: Simplify 1 into 1
7.964 * [taylor]: Taking taylor expansion of 0 in im
7.964 * [backup-simplify]: Simplify 0 into 0
7.964 * [backup-simplify]: Simplify 1 into 1
7.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.966 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.968 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.968 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.968 * [taylor]: Taking taylor expansion of 1/2 in im
7.968 * [backup-simplify]: Simplify 1/2 into 1/2
7.968 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.968 * [taylor]: Taking taylor expansion of im in im
7.968 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify 1 into 1
7.968 * [backup-simplify]: Simplify (* 1 1) into 1
7.969 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.970 * [backup-simplify]: Simplify 0 into 0
7.970 * [backup-simplify]: Simplify 0 into 0
7.970 * [backup-simplify]: Simplify 0 into 0
7.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.972 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.973 * [backup-simplify]: Simplify (+ 0 0) into 0
7.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.974 * [taylor]: Taking taylor expansion of 0 in im
7.974 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.976 * [backup-simplify]: Simplify 0 into 0
7.976 * [backup-simplify]: Simplify 0 into 0
7.976 * [backup-simplify]: Simplify 0 into 0
7.976 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.976 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1 1 1)
7.977 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.977 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.977 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.977 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.977 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.977 * [taylor]: Taking taylor expansion of im in im
7.977 * [backup-simplify]: Simplify 0 into 0
7.977 * [backup-simplify]: Simplify 1 into 1
7.977 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.977 * [taylor]: Taking taylor expansion of re in im
7.977 * [backup-simplify]: Simplify re into re
7.977 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.977 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.977 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.977 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.978 * [backup-simplify]: Simplify (+ 0 0) into 0
7.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.978 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.978 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.978 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.978 * [taylor]: Taking taylor expansion of im in re
7.978 * [backup-simplify]: Simplify im into im
7.978 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.978 * [taylor]: Taking taylor expansion of re in re
7.978 * [backup-simplify]: Simplify 0 into 0
7.978 * [backup-simplify]: Simplify 1 into 1
7.978 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.978 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.979 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.979 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.979 * [backup-simplify]: Simplify (+ 0 0) into 0
7.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.979 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.979 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.979 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.979 * [taylor]: Taking taylor expansion of im in re
7.979 * [backup-simplify]: Simplify im into im
7.979 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.979 * [taylor]: Taking taylor expansion of re in re
7.979 * [backup-simplify]: Simplify 0 into 0
7.979 * [backup-simplify]: Simplify 1 into 1
7.979 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.980 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.980 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.980 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.980 * [backup-simplify]: Simplify (+ 0 0) into 0
7.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.981 * [taylor]: Taking taylor expansion of im in im
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 1 into 1
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [taylor]: Taking taylor expansion of 0 in im
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 1 into 1
7.981 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.982 * [backup-simplify]: Simplify (* 1 1) into 1
7.982 * [backup-simplify]: Simplify (+ 0 1) into 1
7.983 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.983 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.983 * [taylor]: Taking taylor expansion of 1/2 in im
7.983 * [backup-simplify]: Simplify 1/2 into 1/2
7.983 * [taylor]: Taking taylor expansion of im in im
7.983 * [backup-simplify]: Simplify 0 into 0
7.983 * [backup-simplify]: Simplify 1 into 1
7.983 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.984 * [backup-simplify]: Simplify 0 into 0
7.984 * [backup-simplify]: Simplify 0 into 0
7.984 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.986 * [backup-simplify]: Simplify (+ 0 0) into 0
7.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.986 * [taylor]: Taking taylor expansion of 0 in im
7.986 * [backup-simplify]: Simplify 0 into 0
7.986 * [backup-simplify]: Simplify 0 into 0
7.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.987 * [backup-simplify]: Simplify 0 into 0
7.987 * [backup-simplify]: Simplify 0 into 0
7.988 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.988 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.988 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.988 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.988 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.988 * [taylor]: Taking taylor expansion of re in im
7.988 * [backup-simplify]: Simplify re into re
7.988 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.988 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.988 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.988 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.988 * [taylor]: Taking taylor expansion of im in im
7.988 * [backup-simplify]: Simplify 0 into 0
7.989 * [backup-simplify]: Simplify 1 into 1
7.989 * [backup-simplify]: Simplify (* 1 1) into 1
7.989 * [backup-simplify]: Simplify (/ 1 1) into 1
7.990 * [backup-simplify]: Simplify (+ 0 1) into 1
7.990 * [backup-simplify]: Simplify (sqrt 1) into 1
7.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.992 * [backup-simplify]: Simplify (+ 0 0) into 0
7.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.993 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.993 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.993 * [taylor]: Taking taylor expansion of re in re
7.993 * [backup-simplify]: Simplify 0 into 0
7.993 * [backup-simplify]: Simplify 1 into 1
7.993 * [backup-simplify]: Simplify (* 1 1) into 1
7.993 * [backup-simplify]: Simplify (/ 1 1) into 1
7.994 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.994 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.994 * [taylor]: Taking taylor expansion of im in re
7.994 * [backup-simplify]: Simplify im into im
7.994 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.994 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.994 * [backup-simplify]: Simplify (+ 1 0) into 1
7.995 * [backup-simplify]: Simplify (sqrt 1) into 1
7.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.996 * [backup-simplify]: Simplify (+ 0 0) into 0
7.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.997 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.997 * [taylor]: Taking taylor expansion of re in re
7.997 * [backup-simplify]: Simplify 0 into 0
7.997 * [backup-simplify]: Simplify 1 into 1
7.998 * [backup-simplify]: Simplify (* 1 1) into 1
7.998 * [backup-simplify]: Simplify (/ 1 1) into 1
7.998 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.998 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.998 * [taylor]: Taking taylor expansion of im in re
7.998 * [backup-simplify]: Simplify im into im
7.998 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.998 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.999 * [backup-simplify]: Simplify (+ 1 0) into 1
7.999 * [backup-simplify]: Simplify (sqrt 1) into 1
8.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.001 * [backup-simplify]: Simplify (+ 0 0) into 0
8.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.002 * [taylor]: Taking taylor expansion of 1 in im
8.002 * [backup-simplify]: Simplify 1 into 1
8.002 * [taylor]: Taking taylor expansion of 0 in im
8.002 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify 1 into 1
8.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.004 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.005 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.005 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.005 * [taylor]: Taking taylor expansion of 1/2 in im
8.005 * [backup-simplify]: Simplify 1/2 into 1/2
8.005 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.005 * [taylor]: Taking taylor expansion of im in im
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 1 into 1
8.006 * [backup-simplify]: Simplify (* 1 1) into 1
8.006 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.007 * [backup-simplify]: Simplify 0 into 0
8.007 * [backup-simplify]: Simplify 0 into 0
8.008 * [backup-simplify]: Simplify 0 into 0
8.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.009 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.010 * [backup-simplify]: Simplify (+ 0 0) into 0
8.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.011 * [taylor]: Taking taylor expansion of 0 in im
8.011 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.013 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.013 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.013 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.013 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.013 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.013 * [taylor]: Taking taylor expansion of re in im
8.013 * [backup-simplify]: Simplify re into re
8.013 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.014 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.014 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.014 * [taylor]: Taking taylor expansion of im in im
8.014 * [backup-simplify]: Simplify 0 into 0
8.014 * [backup-simplify]: Simplify 1 into 1
8.014 * [backup-simplify]: Simplify (* 1 1) into 1
8.014 * [backup-simplify]: Simplify (/ 1 1) into 1
8.015 * [backup-simplify]: Simplify (+ 0 1) into 1
8.015 * [backup-simplify]: Simplify (sqrt 1) into 1
8.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.017 * [backup-simplify]: Simplify (+ 0 0) into 0
8.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.018 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.018 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.018 * [taylor]: Taking taylor expansion of re in re
8.018 * [backup-simplify]: Simplify 0 into 0
8.018 * [backup-simplify]: Simplify 1 into 1
8.018 * [backup-simplify]: Simplify (* 1 1) into 1
8.019 * [backup-simplify]: Simplify (/ 1 1) into 1
8.019 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.019 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.019 * [taylor]: Taking taylor expansion of im in re
8.019 * [backup-simplify]: Simplify im into im
8.019 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.019 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.019 * [backup-simplify]: Simplify (+ 1 0) into 1
8.020 * [backup-simplify]: Simplify (sqrt 1) into 1
8.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.021 * [backup-simplify]: Simplify (+ 0 0) into 0
8.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.022 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.022 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.022 * [taylor]: Taking taylor expansion of re in re
8.022 * [backup-simplify]: Simplify 0 into 0
8.022 * [backup-simplify]: Simplify 1 into 1
8.023 * [backup-simplify]: Simplify (* 1 1) into 1
8.023 * [backup-simplify]: Simplify (/ 1 1) into 1
8.023 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.023 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.023 * [taylor]: Taking taylor expansion of im in re
8.023 * [backup-simplify]: Simplify im into im
8.023 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.023 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.024 * [backup-simplify]: Simplify (+ 1 0) into 1
8.024 * [backup-simplify]: Simplify (sqrt 1) into 1
8.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.026 * [backup-simplify]: Simplify (+ 0 0) into 0
8.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.027 * [taylor]: Taking taylor expansion of 1 in im
8.027 * [backup-simplify]: Simplify 1 into 1
8.027 * [taylor]: Taking taylor expansion of 0 in im
8.027 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify 1 into 1
8.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.029 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.031 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.031 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.031 * [taylor]: Taking taylor expansion of 1/2 in im
8.031 * [backup-simplify]: Simplify 1/2 into 1/2
8.031 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.031 * [taylor]: Taking taylor expansion of im in im
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify 1 into 1
8.031 * [backup-simplify]: Simplify (* 1 1) into 1
8.032 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify 0 into 0
8.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.035 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.036 * [backup-simplify]: Simplify (+ 0 0) into 0
8.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.037 * [taylor]: Taking taylor expansion of 0 in im
8.037 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.039 * * * [progress]: simplifying candidates
8.041 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
8.043 * * [simplify]: iteration 0: 38 enodes
8.057 * * [simplify]: iteration 1: 91 enodes
8.096 * * [simplify]: iteration 2: 220 enodes
8.187 * * [simplify]: iteration 3: 528 enodes
8.452 * * [simplify]: iteration 4: 1462 enodes
8.883 * * [simplify]: iteration complete: 5000 enodes
8.884 * * [simplify]: Extracting #0: cost 18 inf + 0
8.884 * * [simplify]: Extracting #1: cost 42 inf + 4
8.885 * * [simplify]: Extracting #2: cost 353 inf + 47
8.891 * * [simplify]: Extracting #3: cost 1457 inf + 1083
8.912 * * [simplify]: Extracting #4: cost 1357 inf + 90562
8.956 * * [simplify]: Extracting #5: cost 462 inf + 277192
9.011 * * [simplify]: Extracting #6: cost 139 inf + 359646
9.082 * * [simplify]: Extracting #7: cost 16 inf + 391513
9.154 * * [simplify]: Extracting #8: cost 0 inf + 396382
9.274 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
9.301 * * * [progress]: adding candidates to table
10.108 * [progress]: [Phase 3 of 3] Extracting.
10.108 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>)
10.114 * * * [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)
10.114 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>)
10.211 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>)
10.286 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>)
10.384 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
10.450 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>)
10.587 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
10.636 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>)
10.724 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
10.799 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>)
10.899 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
10.948 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>)
11.071 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>)
11.191 * * * [regime]: Found split indices: #<option (#s(si 3 41) #s(si 1 142) #s(si 8 255))>
11.193 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>)
11.343 * [regimes]: Found splitpoints: (#s(sp 3 re -1.9401195934627838e+70) #s(sp 1 re 2.1704548614174316e-276) #s(sp 8 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>)
11.344 * [simplify]: Simplifying:
  (if (<= re -1.9401195934627838e+70) (* 0.5 (sqrt (* 2.0 (* -2 re)))) (if (<= re 2.1704548614174316e-276) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))
11.345 * * [simplify]: iteration 0: 31 enodes
11.346 * * [simplify]: iteration 1: 41 enodes
11.347 * * [simplify]: iteration 2: 42 enodes
11.348 * * [simplify]: iteration complete: 42 enodes
11.348 * * [simplify]: Extracting #0: cost 1 inf + 0
11.349 * * [simplify]: Extracting #1: cost 4 inf + 0
11.349 * * [simplify]: Extracting #2: cost 11 inf + 0
11.349 * * [simplify]: Extracting #3: cost 12 inf + 3
11.349 * * [simplify]: Extracting #4: cost 14 inf + 138
11.349 * * [simplify]: Extracting #5: cost 17 inf + 139
11.349 * * [simplify]: Extracting #6: cost 18 inf + 140
11.349 * * [simplify]: Extracting #7: cost 17 inf + 552
11.349 * * [simplify]: Extracting #8: cost 16 inf + 554
11.349 * * [simplify]: Extracting #9: cost 14 inf + 636
11.349 * * [simplify]: Extracting #10: cost 10 inf + 1124
11.350 * * [simplify]: Extracting #11: cost 8 inf + 1528
11.350 * * [simplify]: Extracting #12: cost 6 inf + 2013
11.350 * * [simplify]: Extracting #13: cost 2 inf + 3387
11.351 * * [simplify]: Extracting #14: cost 1 inf + 4082
11.352 * * [simplify]: Extracting #15: cost 0 inf + 5069
11.352 * [simplify]: Simplified to:
  (if (<= re -1.9401195934627838e+70) (* (sqrt (* (* -2 re) 2.0)) 0.5) (if (<= re 2.1704548614174316e-276) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* im im) (* re re))) re)))) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))))
15.029 * [regime-testing]: Baseline error score: 38.748383754808415
15.046 * [regime-testing]: Oracle error score: 16.831890376192007
15.082 * [regime-testing]: End program error score: 26.318004582079922