12.477 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.055 * * * [progress]: [2/2] Setting up program.
0.437 * [progress]: [Phase 2 of 3] Improving.
0.438 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.438 * [simplify]: Sending expressions to egg_math:
 (* (/ 1.0 2.0) (sqrt (* 2.0 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
0.448 * * [progress]: iteration 1 / 4
0.448 * * * [progress]: picking best candidate
0.450 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.450 * * * [progress]: localizing error
0.464 * * * [progress]: generating rewritten candidates
0.464 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.482 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.545 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.602 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.612 * * * [progress]: generating series expansions
0.612 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.612 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.612 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.612 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.612 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.612 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.612 * [taylor]: Taking taylor expansion of re in im
0.612 * [backup-simplify]: Simplify re into re
0.612 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.612 * [taylor]: Taking taylor expansion of im in im
0.612 * [backup-simplify]: Simplify 0 into 0
0.612 * [backup-simplify]: Simplify 1 into 1
0.612 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.613 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.613 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.613 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.613 * [backup-simplify]: Simplify (+ 0 0) into 0
0.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.613 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.613 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.613 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.613 * [taylor]: Taking taylor expansion of re in re
0.613 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify 1 into 1
0.614 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.614 * [taylor]: Taking taylor expansion of im in re
0.614 * [backup-simplify]: Simplify im into im
0.614 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.614 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.614 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.614 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.614 * [backup-simplify]: Simplify (+ 0 0) into 0
0.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.614 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.614 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.614 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.614 * [taylor]: Taking taylor expansion of re in re
0.614 * [backup-simplify]: Simplify 0 into 0
0.614 * [backup-simplify]: Simplify 1 into 1
0.614 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.614 * [taylor]: Taking taylor expansion of im in re
0.614 * [backup-simplify]: Simplify im into im
0.614 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.615 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.615 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.615 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.615 * [backup-simplify]: Simplify (+ 0 0) into 0
0.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.615 * [taylor]: Taking taylor expansion of im in im
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify 1 into 1
0.615 * [backup-simplify]: Simplify 0 into 0
0.616 * [taylor]: Taking taylor expansion of 0 in im
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify 1 into 1
0.616 * [backup-simplify]: Simplify (* 1 1) into 1
0.616 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.616 * [backup-simplify]: Simplify (+ 1 0) into 1
0.617 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.617 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.617 * [taylor]: Taking taylor expansion of 1/2 in im
0.617 * [backup-simplify]: Simplify 1/2 into 1/2
0.617 * [taylor]: Taking taylor expansion of im in im
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 1 into 1
0.617 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.619 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.619 * [backup-simplify]: Simplify (+ 0 0) into 0
0.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.619 * [taylor]: Taking taylor expansion of 0 in im
0.619 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.620 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.620 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.620 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.620 * [taylor]: Taking taylor expansion of im in im
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 1 into 1
0.621 * [backup-simplify]: Simplify (* 1 1) into 1
0.621 * [backup-simplify]: Simplify (/ 1 1) into 1
0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.621 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.621 * [taylor]: Taking taylor expansion of re in im
0.621 * [backup-simplify]: Simplify re into re
0.621 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.621 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.621 * [backup-simplify]: Simplify (+ 1 0) into 1
0.622 * [backup-simplify]: Simplify (sqrt 1) into 1
0.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (+ 0 0) into 0
0.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.623 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.623 * [taylor]: Taking taylor expansion of im in re
0.623 * [backup-simplify]: Simplify im into im
0.623 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.623 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.623 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.624 * [taylor]: Taking taylor expansion of re in re
0.624 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify 1 into 1
0.624 * [backup-simplify]: Simplify (* 1 1) into 1
0.624 * [backup-simplify]: Simplify (/ 1 1) into 1
0.624 * [backup-simplify]: Simplify (+ 0 1) into 1
0.625 * [backup-simplify]: Simplify (sqrt 1) into 1
0.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.626 * [backup-simplify]: Simplify (+ 0 0) into 0
0.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.626 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.626 * [taylor]: Taking taylor expansion of im in re
0.626 * [backup-simplify]: Simplify im into im
0.626 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.626 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.626 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.626 * [taylor]: Taking taylor expansion of re in re
0.626 * [backup-simplify]: Simplify 0 into 0
0.627 * [backup-simplify]: Simplify 1 into 1
0.627 * [backup-simplify]: Simplify (* 1 1) into 1
0.627 * [backup-simplify]: Simplify (/ 1 1) into 1
0.628 * [backup-simplify]: Simplify (+ 0 1) into 1
0.628 * [backup-simplify]: Simplify (sqrt 1) into 1
0.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.630 * [backup-simplify]: Simplify (+ 0 0) into 0
0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.631 * [taylor]: Taking taylor expansion of 1 in im
0.631 * [backup-simplify]: Simplify 1 into 1
0.631 * [taylor]: Taking taylor expansion of 0 in im
0.631 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify 1 into 1
0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.633 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.634 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.634 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.634 * [taylor]: Taking taylor expansion of 1/2 in im
0.634 * [backup-simplify]: Simplify 1/2 into 1/2
0.635 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.635 * [taylor]: Taking taylor expansion of im in im
0.635 * [backup-simplify]: Simplify 0 into 0
0.635 * [backup-simplify]: Simplify 1 into 1
0.635 * [backup-simplify]: Simplify (* 1 1) into 1
0.635 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.640 * [backup-simplify]: Simplify (+ 0 0) into 0
0.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.641 * [taylor]: Taking taylor expansion of 0 in im
0.641 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.643 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.643 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.643 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.643 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.644 * [taylor]: Taking taylor expansion of im in im
0.644 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify 1 into 1
0.644 * [backup-simplify]: Simplify (* 1 1) into 1
0.644 * [backup-simplify]: Simplify (/ 1 1) into 1
0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.644 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.644 * [taylor]: Taking taylor expansion of re in im
0.644 * [backup-simplify]: Simplify re into re
0.645 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.645 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.645 * [backup-simplify]: Simplify (+ 1 0) into 1
0.646 * [backup-simplify]: Simplify (sqrt 1) into 1
0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.647 * [backup-simplify]: Simplify (+ 0 0) into 0
0.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.648 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.648 * [taylor]: Taking taylor expansion of im in re
0.648 * [backup-simplify]: Simplify im into im
0.648 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.649 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.649 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.649 * [taylor]: Taking taylor expansion of re in re
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify 1 into 1
0.649 * [backup-simplify]: Simplify (* 1 1) into 1
0.650 * [backup-simplify]: Simplify (/ 1 1) into 1
0.650 * [backup-simplify]: Simplify (+ 0 1) into 1
0.650 * [backup-simplify]: Simplify (sqrt 1) into 1
0.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.652 * [backup-simplify]: Simplify (+ 0 0) into 0
0.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.653 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.653 * [taylor]: Taking taylor expansion of im in re
0.653 * [backup-simplify]: Simplify im into im
0.653 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.653 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.653 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.653 * [taylor]: Taking taylor expansion of re in re
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 1 into 1
0.654 * [backup-simplify]: Simplify (* 1 1) into 1
0.654 * [backup-simplify]: Simplify (/ 1 1) into 1
0.655 * [backup-simplify]: Simplify (+ 0 1) into 1
0.655 * [backup-simplify]: Simplify (sqrt 1) into 1
0.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.657 * [backup-simplify]: Simplify (+ 0 0) into 0
0.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.658 * [taylor]: Taking taylor expansion of 1 in im
0.658 * [backup-simplify]: Simplify 1 into 1
0.658 * [taylor]: Taking taylor expansion of 0 in im
0.658 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify 1 into 1
0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.660 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.661 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.661 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.661 * [taylor]: Taking taylor expansion of 1/2 in im
0.661 * [backup-simplify]: Simplify 1/2 into 1/2
0.661 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.661 * [taylor]: Taking taylor expansion of im in im
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify 1 into 1
0.662 * [backup-simplify]: Simplify (* 1 1) into 1
0.662 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.667 * [backup-simplify]: Simplify (+ 0 0) into 0
0.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.668 * [taylor]: Taking taylor expansion of 0 in im
0.668 * [backup-simplify]: Simplify 0 into 0
0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.670 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.670 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.670 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.670 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.670 * [taylor]: Taking taylor expansion of re in im
0.670 * [backup-simplify]: Simplify re into re
0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.670 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.671 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.671 * [taylor]: Taking taylor expansion of re in im
0.671 * [backup-simplify]: Simplify re into re
0.671 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.671 * [taylor]: Taking taylor expansion of im in im
0.671 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify 1 into 1
0.671 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.671 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.671 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.671 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.671 * [backup-simplify]: Simplify (+ 0 0) into 0
0.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.672 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.672 * [taylor]: Taking taylor expansion of re in re
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 1 into 1
0.672 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.672 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.672 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.672 * [taylor]: Taking taylor expansion of re in re
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 1 into 1
0.672 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.672 * [taylor]: Taking taylor expansion of im in re
0.672 * [backup-simplify]: Simplify im into im
0.672 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.673 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.673 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.673 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.673 * [backup-simplify]: Simplify (+ 0 0) into 0
0.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.673 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.673 * [taylor]: Taking taylor expansion of re in re
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify 1 into 1
0.673 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.674 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.674 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.674 * [taylor]: Taking taylor expansion of re in re
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 1 into 1
0.674 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.674 * [taylor]: Taking taylor expansion of im in re
0.674 * [backup-simplify]: Simplify im into im
0.674 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.674 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.674 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.674 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.675 * [backup-simplify]: Simplify (+ 0 0) into 0
0.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.675 * [backup-simplify]: Simplify (+ 0 im) into im
0.675 * [taylor]: Taking taylor expansion of im in im
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify 1 into 1
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify (+ 1 0) into 1
0.675 * [taylor]: Taking taylor expansion of 1 in im
0.675 * [backup-simplify]: Simplify 1 into 1
0.675 * [backup-simplify]: Simplify 1 into 1
0.675 * [backup-simplify]: Simplify 1 into 1
0.676 * [backup-simplify]: Simplify (* 1 1) into 1
0.676 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.681 * [backup-simplify]: Simplify (+ 1 0) into 1
0.682 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.682 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.682 * [taylor]: Taking taylor expansion of 1/2 in im
0.682 * [backup-simplify]: Simplify 1/2 into 1/2
0.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.682 * [taylor]: Taking taylor expansion of im in im
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 1 into 1
0.683 * [backup-simplify]: Simplify (/ 1 1) into 1
0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.686 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.686 * [backup-simplify]: Simplify (+ 0 0) into 0
0.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.687 * [backup-simplify]: Simplify (+ 0 0) into 0
0.687 * [taylor]: Taking taylor expansion of 0 in im
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.689 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.690 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.690 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.690 * [taylor]: Taking taylor expansion of re in im
0.690 * [backup-simplify]: Simplify re into re
0.690 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.690 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.690 * [taylor]: Taking taylor expansion of im in im
0.690 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify 1 into 1
0.690 * [backup-simplify]: Simplify (* 1 1) into 1
0.691 * [backup-simplify]: Simplify (/ 1 1) into 1
0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.691 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.691 * [taylor]: Taking taylor expansion of re in im
0.691 * [backup-simplify]: Simplify re into re
0.691 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.691 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.692 * [backup-simplify]: Simplify (+ 1 0) into 1
0.692 * [backup-simplify]: Simplify (sqrt 1) into 1
0.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.694 * [backup-simplify]: Simplify (+ 0 0) into 0
0.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.694 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.694 * [taylor]: Taking taylor expansion of re in re
0.694 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify 1 into 1
0.695 * [backup-simplify]: Simplify (/ 1 1) into 1
0.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.695 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.695 * [taylor]: Taking taylor expansion of im in re
0.695 * [backup-simplify]: Simplify im into im
0.695 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.695 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.695 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.695 * [taylor]: Taking taylor expansion of re in re
0.695 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify 1 into 1
0.696 * [backup-simplify]: Simplify (* 1 1) into 1
0.696 * [backup-simplify]: Simplify (/ 1 1) into 1
0.697 * [backup-simplify]: Simplify (+ 0 1) into 1
0.697 * [backup-simplify]: Simplify (sqrt 1) into 1
0.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.699 * [backup-simplify]: Simplify (+ 0 0) into 0
0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.700 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.700 * [taylor]: Taking taylor expansion of re in re
0.700 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify 1 into 1
0.700 * [backup-simplify]: Simplify (/ 1 1) into 1
0.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.700 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.700 * [taylor]: Taking taylor expansion of im in re
0.700 * [backup-simplify]: Simplify im into im
0.700 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.701 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
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 (* 1 1) into 1
0.702 * [backup-simplify]: Simplify (/ 1 1) into 1
0.702 * [backup-simplify]: Simplify (+ 0 1) into 1
0.702 * [backup-simplify]: Simplify (sqrt 1) into 1
0.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.704 * [backup-simplify]: Simplify (+ 0 0) into 0
0.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.705 * [backup-simplify]: Simplify (+ 1 1) into 2
0.705 * [taylor]: Taking taylor expansion of 2 in im
0.705 * [backup-simplify]: Simplify 2 into 2
0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.707 * [backup-simplify]: Simplify (+ 0 0) into 0
0.707 * [taylor]: Taking taylor expansion of 0 in im
0.707 * [backup-simplify]: Simplify 0 into 0
0.707 * [backup-simplify]: Simplify 2 into 2
0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.710 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.711 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.711 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.711 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.711 * [taylor]: Taking taylor expansion of 1/2 in im
0.711 * [backup-simplify]: Simplify 1/2 into 1/2
0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.711 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.711 * [taylor]: Taking taylor expansion of im in im
0.711 * [backup-simplify]: Simplify 0 into 0
0.711 * [backup-simplify]: Simplify 1 into 1
0.712 * [backup-simplify]: Simplify (* 1 1) into 1
0.712 * [backup-simplify]: Simplify (/ 1 1) into 1
0.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.714 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify 0 into 0
0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.715 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.718 * [backup-simplify]: Simplify (+ 0 0) into 0
0.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.719 * [backup-simplify]: Simplify (+ 0 0) into 0
0.719 * [taylor]: Taking taylor expansion of 0 in im
0.719 * [backup-simplify]: Simplify 0 into 0
0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.722 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.723 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.723 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.723 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.723 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.723 * [taylor]: Taking taylor expansion of im in im
0.723 * [backup-simplify]: Simplify 0 into 0
0.723 * [backup-simplify]: Simplify 1 into 1
0.724 * [backup-simplify]: Simplify (* 1 1) into 1
0.724 * [backup-simplify]: Simplify (/ 1 1) into 1
0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.724 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.724 * [taylor]: Taking taylor expansion of re in im
0.724 * [backup-simplify]: Simplify re into re
0.724 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.724 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.725 * [backup-simplify]: Simplify (+ 1 0) into 1
0.725 * [backup-simplify]: Simplify (sqrt 1) into 1
0.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.727 * [backup-simplify]: Simplify (+ 0 0) into 0
0.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.728 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.728 * [taylor]: Taking taylor expansion of re in im
0.728 * [backup-simplify]: Simplify re into re
0.728 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.728 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.728 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
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
0.729 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.729 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.729 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.729 * [taylor]: Taking taylor expansion of re in re
0.729 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify 1 into 1
0.729 * [backup-simplify]: Simplify (* 1 1) into 1
0.730 * [backup-simplify]: Simplify (/ 1 1) into 1
0.730 * [backup-simplify]: Simplify (+ 0 1) into 1
0.730 * [backup-simplify]: Simplify (sqrt 1) into 1
0.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (+ 0 0) into 0
0.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.733 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.733 * [taylor]: Taking taylor expansion of re in re
0.733 * [backup-simplify]: Simplify 0 into 0
0.733 * [backup-simplify]: Simplify 1 into 1
0.734 * [backup-simplify]: Simplify (/ 1 1) into 1
0.734 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.734 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.734 * [taylor]: Taking taylor expansion of im in re
0.734 * [backup-simplify]: Simplify im into im
0.734 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.734 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.734 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.734 * [taylor]: Taking taylor expansion of re in re
0.734 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify 1 into 1
0.735 * [backup-simplify]: Simplify (* 1 1) into 1
0.735 * [backup-simplify]: Simplify (/ 1 1) into 1
0.735 * [backup-simplify]: Simplify (+ 0 1) into 1
0.736 * [backup-simplify]: Simplify (sqrt 1) into 1
0.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.737 * [backup-simplify]: Simplify (+ 0 0) into 0
0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.738 * [taylor]: Taking taylor expansion of re in re
0.738 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify 1 into 1
0.739 * [backup-simplify]: Simplify (/ 1 1) into 1
0.739 * [backup-simplify]: Simplify (- 1) into -1
0.740 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.740 * [taylor]: Taking taylor expansion of 0 in im
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.741 * [backup-simplify]: Simplify (- 0) into 0
0.741 * [backup-simplify]: Simplify (+ 0 0) into 0
0.741 * [taylor]: Taking taylor expansion of 0 in im
0.741 * [backup-simplify]: Simplify 0 into 0
0.741 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.743 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.745 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.746 * [backup-simplify]: Simplify (- 0) into 0
0.746 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.746 * [taylor]: Taking taylor expansion of 1/2 in im
0.746 * [backup-simplify]: Simplify 1/2 into 1/2
0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.746 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.746 * [taylor]: Taking taylor expansion of im in im
0.746 * [backup-simplify]: Simplify 0 into 0
0.746 * [backup-simplify]: Simplify 1 into 1
0.747 * [backup-simplify]: Simplify (* 1 1) into 1
0.747 * [backup-simplify]: Simplify (/ 1 1) into 1
0.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.749 * [backup-simplify]: Simplify 0 into 0
0.749 * [backup-simplify]: Simplify 0 into 0
0.750 * [backup-simplify]: Simplify 0 into 0
0.750 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.752 * [backup-simplify]: Simplify (+ 0 0) into 0
0.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.754 * [backup-simplify]: Simplify (- 0) into 0
0.755 * [backup-simplify]: Simplify (+ 0 0) into 0
0.755 * [taylor]: Taking taylor expansion of 0 in im
0.755 * [backup-simplify]: Simplify 0 into 0
0.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.758 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))))
0.758 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.758 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.758 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.758 * [taylor]: Taking taylor expansion of 2.0 in im
0.758 * [backup-simplify]: Simplify 2.0 into 2.0
0.759 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.759 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.759 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.759 * [taylor]: Taking taylor expansion of re in im
0.759 * [backup-simplify]: Simplify re into re
0.759 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.759 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.759 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.759 * [taylor]: Taking taylor expansion of re in im
0.759 * [backup-simplify]: Simplify re into re
0.759 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.759 * [taylor]: Taking taylor expansion of im in im
0.759 * [backup-simplify]: Simplify 0 into 0
0.759 * [backup-simplify]: Simplify 1 into 1
0.759 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.759 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.760 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.760 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.760 * [backup-simplify]: Simplify (+ 0 0) into 0
0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.760 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.760 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.760 * [backup-simplify]: Simplify (+ 0 0) into 0
0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.760 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.760 * [taylor]: Taking taylor expansion of 2.0 in re
0.760 * [backup-simplify]: Simplify 2.0 into 2.0
0.761 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.761 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.761 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.761 * [taylor]: Taking taylor expansion of re in re
0.761 * [backup-simplify]: Simplify 0 into 0
0.761 * [backup-simplify]: Simplify 1 into 1
0.761 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.761 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.761 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.761 * [taylor]: Taking taylor expansion of re in re
0.761 * [backup-simplify]: Simplify 0 into 0
0.761 * [backup-simplify]: Simplify 1 into 1
0.761 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.761 * [taylor]: Taking taylor expansion of im in re
0.761 * [backup-simplify]: Simplify im into im
0.761 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.762 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.762 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.762 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.762 * [backup-simplify]: Simplify (+ 0 0) into 0
0.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.762 * [backup-simplify]: Simplify (+ 0 im) into im
0.762 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.762 * [backup-simplify]: Simplify (+ 1 0) into 1
0.762 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.762 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.763 * [taylor]: Taking taylor expansion of 2.0 in re
0.763 * [backup-simplify]: Simplify 2.0 into 2.0
0.763 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.763 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.763 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.763 * [taylor]: Taking taylor expansion of re in re
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify 1 into 1
0.763 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.763 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.763 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.763 * [taylor]: Taking taylor expansion of re in re
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify 1 into 1
0.763 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.763 * [taylor]: Taking taylor expansion of im in re
0.764 * [backup-simplify]: Simplify im into im
0.764 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.764 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.764 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.764 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.764 * [backup-simplify]: Simplify (+ 0 0) into 0
0.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.764 * [backup-simplify]: Simplify (+ 0 im) into im
0.764 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.765 * [backup-simplify]: Simplify (+ 1 0) into 1
0.765 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.765 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.765 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.765 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.765 * [taylor]: Taking taylor expansion of 2.0 in im
0.765 * [backup-simplify]: Simplify 2.0 into 2.0
0.765 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.766 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.766 * [taylor]: Taking taylor expansion of im in im
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify 1 into 1
0.766 * [backup-simplify]: Simplify (sqrt 0) into 0
0.767 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.767 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.767 * [backup-simplify]: Simplify 0 into 0
0.768 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.768 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.768 * [taylor]: Taking taylor expansion of 1/2 in im
0.768 * [backup-simplify]: Simplify 1/2 into 1/2
0.768 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.768 * [taylor]: Taking taylor expansion of 2.0 in im
0.768 * [backup-simplify]: Simplify 2.0 into 2.0
0.768 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.769 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.769 * [taylor]: Taking taylor expansion of im in im
0.769 * [backup-simplify]: Simplify 0 into 0
0.769 * [backup-simplify]: Simplify 1 into 1
0.769 * [backup-simplify]: Simplify (/ 1 1) into 1
0.769 * [backup-simplify]: Simplify (sqrt 0) into 0
0.770 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.771 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.772 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.774 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.775 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.776 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.777 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.777 * [backup-simplify]: Simplify (* 1 1) into 1
0.777 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.778 * [backup-simplify]: Simplify (+ 1 0) into 1
0.778 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.778 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.779 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
0.780 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.781 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.781 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.781 * [taylor]: Taking taylor expansion of 1/8 in im
0.781 * [backup-simplify]: Simplify 1/8 into 1/8
0.781 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.781 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.781 * [taylor]: Taking taylor expansion of 2.0 in im
0.781 * [backup-simplify]: Simplify 2.0 into 2.0
0.782 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.783 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.783 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.783 * [taylor]: Taking taylor expansion of im in im
0.783 * [backup-simplify]: Simplify 0 into 0
0.783 * [backup-simplify]: Simplify 1 into 1
0.783 * [backup-simplify]: Simplify (* 1 1) into 1
0.784 * [backup-simplify]: Simplify (* 1 1) into 1
0.784 * [backup-simplify]: Simplify (/ 1 1) into 1
0.784 * [backup-simplify]: Simplify (sqrt 0) into 0
0.786 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.792 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.793 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.796 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.798 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.798 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.803 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.804 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.807 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
0.807 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))
0.807 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0
0.807 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.807 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.807 * [taylor]: Taking taylor expansion of 2.0 in im
0.807 * [backup-simplify]: Simplify 2.0 into 2.0
0.807 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.808 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.808 * [taylor]: Taking taylor expansion of re in im
0.808 * [backup-simplify]: Simplify re into re
0.808 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.808 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.808 * [taylor]: Taking taylor expansion of im in im
0.808 * [backup-simplify]: Simplify 0 into 0
0.808 * [backup-simplify]: Simplify 1 into 1
0.808 * [backup-simplify]: Simplify (* 1 1) into 1
0.809 * [backup-simplify]: Simplify (/ 1 1) into 1
0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.809 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.809 * [taylor]: Taking taylor expansion of re in im
0.809 * [backup-simplify]: Simplify re into re
0.809 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.809 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.809 * [backup-simplify]: Simplify (+ 1 0) into 1
0.809 * [backup-simplify]: Simplify (sqrt 1) into 1
0.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.810 * [backup-simplify]: Simplify (+ 0 0) into 0
0.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.811 * [backup-simplify]: Simplify (+ 0 1) into 1
0.811 * [backup-simplify]: Simplify (sqrt 0) into 0
0.816 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.816 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.816 * [taylor]: Taking taylor expansion of 2.0 in re
0.816 * [backup-simplify]: Simplify 2.0 into 2.0
0.817 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.817 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.817 * [taylor]: Taking taylor expansion of re in re
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 1 into 1
0.817 * [backup-simplify]: Simplify (/ 1 1) into 1
0.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.818 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.818 * [taylor]: Taking taylor expansion of im in re
0.818 * [backup-simplify]: Simplify im into im
0.818 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.818 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.818 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.818 * [taylor]: Taking taylor expansion of re in re
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 1 into 1
0.818 * [backup-simplify]: Simplify (* 1 1) into 1
0.818 * [backup-simplify]: Simplify (/ 1 1) into 1
0.819 * [backup-simplify]: Simplify (+ 0 1) into 1
0.819 * [backup-simplify]: Simplify (sqrt 1) into 1
0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.820 * [backup-simplify]: Simplify (+ 0 0) into 0
0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.820 * [backup-simplify]: Simplify (+ 1 1) into 2
0.821 * [backup-simplify]: Simplify (sqrt 0) into 0
0.821 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.821 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.822 * [taylor]: Taking taylor expansion of 2.0 in re
0.822 * [backup-simplify]: Simplify 2.0 into 2.0
0.822 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.822 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.822 * [taylor]: Taking taylor expansion of re in re
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 1 into 1
0.823 * [backup-simplify]: Simplify (/ 1 1) into 1
0.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.823 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.823 * [taylor]: Taking taylor expansion of im in re
0.823 * [backup-simplify]: Simplify im into im
0.823 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.823 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.823 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.823 * [taylor]: Taking taylor expansion of re in re
0.823 * [backup-simplify]: Simplify 0 into 0
0.823 * [backup-simplify]: Simplify 1 into 1
0.823 * [backup-simplify]: Simplify (* 1 1) into 1
0.823 * [backup-simplify]: Simplify (/ 1 1) into 1
0.824 * [backup-simplify]: Simplify (+ 0 1) into 1
0.824 * [backup-simplify]: Simplify (sqrt 1) into 1
0.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.825 * [backup-simplify]: Simplify (+ 0 0) into 0
0.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.826 * [backup-simplify]: Simplify (+ 1 1) into 2
0.826 * [backup-simplify]: Simplify (sqrt 0) into 0
0.827 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.827 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.827 * [taylor]: Taking taylor expansion of 0 in im
0.827 * [backup-simplify]: Simplify 0 into 0
0.828 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.828 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.828 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.828 * [taylor]: Taking taylor expansion of +nan.0 in im
0.828 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.828 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.828 * [taylor]: Taking taylor expansion of 2.0 in im
0.828 * [backup-simplify]: Simplify 2.0 into 2.0
0.829 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.829 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.830 * [backup-simplify]: Simplify (+ 0 0) into 0
0.833 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.834 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.837 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.837 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.837 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.837 * [taylor]: Taking taylor expansion of +nan.0 in im
0.837 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.837 * [taylor]: Taking taylor expansion of 2.0 in im
0.837 * [backup-simplify]: Simplify 2.0 into 2.0
0.837 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.839 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.840 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.840 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.841 * [backup-simplify]: Simplify 0 into 0
0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.842 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.843 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.843 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.844 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
0.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.846 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.846 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.846 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.846 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.846 * [taylor]: Taking taylor expansion of +nan.0 in im
0.846 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.846 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.846 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.846 * [taylor]: Taking taylor expansion of 2.0 in im
0.846 * [backup-simplify]: Simplify 2.0 into 2.0
0.847 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.847 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.847 * [taylor]: Taking taylor expansion of im in im
0.847 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify 1 into 1
0.847 * [backup-simplify]: Simplify (* 1 1) into 1
0.848 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.848 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.848 * [taylor]: Taking taylor expansion of +nan.0 in im
0.848 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.848 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.848 * [taylor]: Taking taylor expansion of 2.0 in im
0.848 * [backup-simplify]: Simplify 2.0 into 2.0
0.848 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.850 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.851 * [backup-simplify]: Simplify (+ 0 0) into 0
0.851 * [backup-simplify]: Simplify (- 0) into 0
0.851 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.852 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.854 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.854 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.855 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.857 * [backup-simplify]: Simplify (+ 0 0) into 0
0.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.858 * [backup-simplify]: Simplify (+ 0 0) into 0
0.858 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
0.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.861 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.861 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.861 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.861 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.861 * [taylor]: Taking taylor expansion of +nan.0 in im
0.861 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.861 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.861 * [taylor]: Taking taylor expansion of 2.0 in im
0.861 * [backup-simplify]: Simplify 2.0 into 2.0
0.861 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.861 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.861 * [taylor]: Taking taylor expansion of im in im
0.862 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify 1 into 1
0.862 * [backup-simplify]: Simplify (* 1 1) into 1
0.862 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.862 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.862 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.862 * [taylor]: Taking taylor expansion of +nan.0 in im
0.862 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.862 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.862 * [taylor]: Taking taylor expansion of 2.0 in im
0.862 * [backup-simplify]: Simplify 2.0 into 2.0
0.863 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.865 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.865 * [backup-simplify]: Simplify (+ 0 0) into 0
0.865 * [backup-simplify]: Simplify (- 0) into 0
0.865 * [backup-simplify]: Simplify 0 into 0
0.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.869 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.870 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.871 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.873 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.876 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.877 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.882 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
0.883 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))
0.883 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0
0.883 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.883 * [taylor]: Taking taylor expansion of 2.0 in im
0.883 * [backup-simplify]: Simplify 2.0 into 2.0
0.884 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.884 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.884 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.885 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.885 * [taylor]: Taking taylor expansion of im in im
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 1 into 1
0.885 * [backup-simplify]: Simplify (* 1 1) into 1
0.885 * [backup-simplify]: Simplify (/ 1 1) into 1
0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.885 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.885 * [taylor]: Taking taylor expansion of re in im
0.885 * [backup-simplify]: Simplify re into re
0.886 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.886 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.886 * [backup-simplify]: Simplify (+ 1 0) into 1
0.886 * [backup-simplify]: Simplify (sqrt 1) into 1
0.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.888 * [backup-simplify]: Simplify (+ 0 0) into 0
0.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.889 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.889 * [taylor]: Taking taylor expansion of re in im
0.889 * [backup-simplify]: Simplify re into re
0.889 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.889 * [backup-simplify]: Simplify (+ 1 0) into 1
0.890 * [backup-simplify]: Simplify (sqrt 0) into 0
0.891 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.891 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.891 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.891 * [taylor]: Taking taylor expansion of 2.0 in re
0.891 * [backup-simplify]: Simplify 2.0 into 2.0
0.892 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.892 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.892 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.893 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.893 * [taylor]: Taking taylor expansion of im in re
0.893 * [backup-simplify]: Simplify im into im
0.893 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.893 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.893 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.893 * [taylor]: Taking taylor expansion of re in re
0.893 * [backup-simplify]: Simplify 0 into 0
0.893 * [backup-simplify]: Simplify 1 into 1
0.893 * [backup-simplify]: Simplify (* 1 1) into 1
0.894 * [backup-simplify]: Simplify (/ 1 1) into 1
0.894 * [backup-simplify]: Simplify (+ 0 1) into 1
0.895 * [backup-simplify]: Simplify (sqrt 1) into 1
0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.896 * [backup-simplify]: Simplify (+ 0 0) into 0
0.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.897 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.897 * [taylor]: Taking taylor expansion of re in re
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify 1 into 1
0.898 * [backup-simplify]: Simplify (/ 1 1) into 1
0.898 * [backup-simplify]: Simplify (- 1) into -1
0.898 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.899 * [backup-simplify]: Simplify (- 0) into 0
0.900 * [backup-simplify]: Simplify (+ 0 0) into 0
0.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.902 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.903 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.904 * [backup-simplify]: Simplify (- 0) into 0
0.904 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.905 * [backup-simplify]: Simplify (sqrt 0) into 0
0.906 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.906 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.906 * [taylor]: Taking taylor expansion of 2.0 in re
0.906 * [backup-simplify]: Simplify 2.0 into 2.0
0.906 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.907 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.907 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.907 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.907 * [taylor]: Taking taylor expansion of im in re
0.907 * [backup-simplify]: Simplify im into im
0.907 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.907 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.907 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.907 * [taylor]: Taking taylor expansion of re in re
0.907 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify 1 into 1
0.908 * [backup-simplify]: Simplify (* 1 1) into 1
0.908 * [backup-simplify]: Simplify (/ 1 1) into 1
0.909 * [backup-simplify]: Simplify (+ 0 1) into 1
0.909 * [backup-simplify]: Simplify (sqrt 1) into 1
0.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.911 * [backup-simplify]: Simplify (+ 0 0) into 0
0.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.911 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.911 * [taylor]: Taking taylor expansion of re in re
0.911 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 1 into 1
0.912 * [backup-simplify]: Simplify (/ 1 1) into 1
0.912 * [backup-simplify]: Simplify (- 1) into -1
0.913 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.914 * [backup-simplify]: Simplify (- 0) into 0
0.914 * [backup-simplify]: Simplify (+ 0 0) into 0
0.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.917 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.918 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.919 * [backup-simplify]: Simplify (- 0) into 0
0.920 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.920 * [backup-simplify]: Simplify (sqrt 0) into 0
0.921 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.921 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.921 * [taylor]: Taking taylor expansion of 0 in im
0.921 * [backup-simplify]: Simplify 0 into 0
0.922 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.922 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.922 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.923 * [taylor]: Taking taylor expansion of +nan.0 in im
0.923 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.923 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.923 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.923 * [taylor]: Taking taylor expansion of 2.0 in im
0.923 * [backup-simplify]: Simplify 2.0 into 2.0
0.923 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.924 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.924 * [taylor]: Taking taylor expansion of im in im
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 1 into 1
0.924 * [backup-simplify]: Simplify (* 1 1) into 1
0.925 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.928 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.928 * [backup-simplify]: Simplify (- 0) into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.931 * [backup-simplify]: Simplify (+ 0 0) into 0
0.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.933 * [backup-simplify]: Simplify (- 0) into 0
0.934 * [backup-simplify]: Simplify (+ 0 0) into 0
0.935 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.936 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.944 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
0.944 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.944 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.944 * [taylor]: Taking taylor expansion of +nan.0 in im
0.944 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.944 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.944 * [taylor]: Taking taylor expansion of 2.0 in im
0.944 * [backup-simplify]: Simplify 2.0 into 2.0
0.945 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.945 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.945 * [taylor]: Taking taylor expansion of im in im
0.945 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify 1 into 1
0.946 * [backup-simplify]: Simplify (* 1 1) into 1
0.946 * [backup-simplify]: Simplify (* 1 1) into 1
0.948 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.949 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.960 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.960 * [backup-simplify]: Simplify (- 0) into 0
0.960 * [backup-simplify]: Simplify 0 into 0
0.962 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.965 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.965 * [backup-simplify]: Simplify (- 0) into 0
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [backup-simplify]: Simplify 0 into 0
0.966 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.969 * [backup-simplify]: Simplify (+ 0 0) into 0
0.971 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.972 * [backup-simplify]: Simplify (- 0) into 0
0.972 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.973 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
0.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.977 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.977 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.977 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.977 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.977 * [taylor]: Taking taylor expansion of +nan.0 in im
0.977 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.977 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.977 * [taylor]: Taking taylor expansion of 2.0 in im
0.977 * [backup-simplify]: Simplify 2.0 into 2.0
0.978 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.978 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.978 * [taylor]: Taking taylor expansion of im in im
0.979 * [backup-simplify]: Simplify 0 into 0
0.979 * [backup-simplify]: Simplify 1 into 1
0.979 * [backup-simplify]: Simplify (* 1 1) into 1
0.979 * [backup-simplify]: Simplify (* 1 1) into 1
0.980 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.980 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.980 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.980 * [taylor]: Taking taylor expansion of +nan.0 in im
0.980 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.980 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.980 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.980 * [taylor]: Taking taylor expansion of 2.0 in im
0.981 * [backup-simplify]: Simplify 2.0 into 2.0
0.981 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.982 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.982 * [taylor]: Taking taylor expansion of im in im
0.982 * [backup-simplify]: Simplify 0 into 0
0.982 * [backup-simplify]: Simplify 1 into 1
0.982 * [backup-simplify]: Simplify (* 1 1) into 1
0.983 * [backup-simplify]: Simplify (* 1 1) into 1
0.983 * [backup-simplify]: Simplify (* 1 1) into 1
0.984 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.985 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.997 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.998 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.001 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.020 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
1.020 * [backup-simplify]: Simplify (- 0) into 0
1.020 * [backup-simplify]: Simplify (+ 0 0) into 0
1.021 * [backup-simplify]: Simplify (- 0) into 0
1.021 * [backup-simplify]: Simplify 0 into 0
1.021 * [backup-simplify]: Simplify 0 into 0
1.021 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
1.021 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
1.021 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
1.021 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.021 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.021 * [taylor]: Taking taylor expansion of re in im
1.021 * [backup-simplify]: Simplify re into re
1.021 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.021 * [taylor]: Taking taylor expansion of im in im
1.021 * [backup-simplify]: Simplify 0 into 0
1.021 * [backup-simplify]: Simplify 1 into 1
1.021 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.021 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.021 * [taylor]: Taking taylor expansion of re in re
1.021 * [backup-simplify]: Simplify 0 into 0
1.021 * [backup-simplify]: Simplify 1 into 1
1.021 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.021 * [taylor]: Taking taylor expansion of im in re
1.021 * [backup-simplify]: Simplify im into im
1.021 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.021 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.022 * [taylor]: Taking taylor expansion of re in re
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 1 into 1
1.022 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.022 * [taylor]: Taking taylor expansion of im in re
1.022 * [backup-simplify]: Simplify im into im
1.022 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.022 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.022 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.022 * [taylor]: Taking taylor expansion of im in im
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 1 into 1
1.022 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.022 * [backup-simplify]: Simplify (+ 0 0) into 0
1.022 * [taylor]: Taking taylor expansion of 0 in im
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify (* 1 1) into 1
1.023 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.023 * [backup-simplify]: Simplify (+ 1 0) into 1
1.023 * [taylor]: Taking taylor expansion of 1 in im
1.023 * [backup-simplify]: Simplify 1 into 1
1.023 * [backup-simplify]: Simplify 1 into 1
1.023 * [backup-simplify]: Simplify 0 into 0
1.024 * [backup-simplify]: Simplify (* 1 1) into 1
1.024 * [backup-simplify]: Simplify 1 into 1
1.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.025 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.025 * [backup-simplify]: Simplify (+ 0 0) into 0
1.025 * [taylor]: Taking taylor expansion of 0 in im
1.025 * [backup-simplify]: Simplify 0 into 0
1.025 * [backup-simplify]: Simplify 0 into 0
1.025 * [backup-simplify]: Simplify 0 into 0
1.025 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.026 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.027 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
1.027 * [backup-simplify]: Simplify (+ 0 0) into 0
1.027 * [taylor]: Taking taylor expansion of 0 in im
1.027 * [backup-simplify]: Simplify 0 into 0
1.027 * [backup-simplify]: Simplify 0 into 0
1.027 * [backup-simplify]: Simplify 0 into 0
1.027 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
1.028 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
1.028 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.028 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.028 * [taylor]: Taking taylor expansion of im in im
1.028 * [backup-simplify]: Simplify 0 into 0
1.028 * [backup-simplify]: Simplify 1 into 1
1.028 * [backup-simplify]: Simplify (* 1 1) into 1
1.028 * [backup-simplify]: Simplify (/ 1 1) into 1
1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.028 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.028 * [taylor]: Taking taylor expansion of re in im
1.028 * [backup-simplify]: Simplify re into re
1.028 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.029 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.029 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.029 * [taylor]: Taking taylor expansion of im in re
1.029 * [backup-simplify]: Simplify im into im
1.029 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.029 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.029 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.029 * [taylor]: Taking taylor expansion of re in re
1.029 * [backup-simplify]: Simplify 0 into 0
1.029 * [backup-simplify]: Simplify 1 into 1
1.029 * [backup-simplify]: Simplify (* 1 1) into 1
1.029 * [backup-simplify]: Simplify (/ 1 1) into 1
1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.029 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.029 * [taylor]: Taking taylor expansion of im in re
1.029 * [backup-simplify]: Simplify im into im
1.029 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.030 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.030 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.030 * [taylor]: Taking taylor expansion of re in re
1.030 * [backup-simplify]: Simplify 0 into 0
1.030 * [backup-simplify]: Simplify 1 into 1
1.030 * [backup-simplify]: Simplify (* 1 1) into 1
1.030 * [backup-simplify]: Simplify (/ 1 1) into 1
1.030 * [backup-simplify]: Simplify (+ 0 1) into 1
1.030 * [taylor]: Taking taylor expansion of 1 in im
1.030 * [backup-simplify]: Simplify 1 into 1
1.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.031 * [backup-simplify]: Simplify (+ 0 0) into 0
1.031 * [taylor]: Taking taylor expansion of 0 in im
1.032 * [backup-simplify]: Simplify 0 into 0
1.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.033 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.033 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.033 * [taylor]: Taking taylor expansion of im in im
1.033 * [backup-simplify]: Simplify 0 into 0
1.033 * [backup-simplify]: Simplify 1 into 1
1.033 * [backup-simplify]: Simplify (* 1 1) into 1
1.033 * [backup-simplify]: Simplify (/ 1 1) into 1
1.033 * [backup-simplify]: Simplify 1 into 1
1.033 * [backup-simplify]: Simplify 1 into 1
1.033 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.035 * [backup-simplify]: Simplify (+ 0 0) into 0
1.035 * [taylor]: Taking taylor expansion of 0 in im
1.035 * [backup-simplify]: Simplify 0 into 0
1.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.036 * [backup-simplify]: Simplify 0 into 0
1.036 * [backup-simplify]: Simplify 0 into 0
1.036 * [backup-simplify]: Simplify 0 into 0
1.036 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.038 * [backup-simplify]: Simplify (+ 0 0) into 0
1.038 * [taylor]: Taking taylor expansion of 0 in im
1.038 * [backup-simplify]: Simplify 0 into 0
1.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.040 * [backup-simplify]: Simplify 0 into 0
1.040 * [backup-simplify]: Simplify 0 into 0
1.040 * [backup-simplify]: Simplify 0 into 0
1.040 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
1.041 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
1.041 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.041 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.041 * [taylor]: Taking taylor expansion of im in im
1.041 * [backup-simplify]: Simplify 0 into 0
1.041 * [backup-simplify]: Simplify 1 into 1
1.041 * [backup-simplify]: Simplify (* 1 1) into 1
1.042 * [backup-simplify]: Simplify (/ 1 1) into 1
1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.042 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.042 * [taylor]: Taking taylor expansion of re in im
1.042 * [backup-simplify]: Simplify re into re
1.042 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.042 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.042 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.042 * [taylor]: Taking taylor expansion of im in re
1.042 * [backup-simplify]: Simplify im into im
1.042 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.042 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.042 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.043 * [taylor]: Taking taylor expansion of re in re
1.043 * [backup-simplify]: Simplify 0 into 0
1.043 * [backup-simplify]: Simplify 1 into 1
1.043 * [backup-simplify]: Simplify (* 1 1) into 1
1.043 * [backup-simplify]: Simplify (/ 1 1) into 1
1.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.043 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.043 * [taylor]: Taking taylor expansion of im in re
1.043 * [backup-simplify]: Simplify im into im
1.043 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.043 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.043 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.043 * [taylor]: Taking taylor expansion of re in re
1.043 * [backup-simplify]: Simplify 0 into 0
1.043 * [backup-simplify]: Simplify 1 into 1
1.044 * [backup-simplify]: Simplify (* 1 1) into 1
1.044 * [backup-simplify]: Simplify (/ 1 1) into 1
1.044 * [backup-simplify]: Simplify (+ 0 1) into 1
1.044 * [taylor]: Taking taylor expansion of 1 in im
1.044 * [backup-simplify]: Simplify 1 into 1
1.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.045 * [backup-simplify]: Simplify (+ 0 0) into 0
1.045 * [taylor]: Taking taylor expansion of 0 in im
1.045 * [backup-simplify]: Simplify 0 into 0
1.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.047 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.047 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.047 * [taylor]: Taking taylor expansion of im in im
1.047 * [backup-simplify]: Simplify 0 into 0
1.047 * [backup-simplify]: Simplify 1 into 1
1.047 * [backup-simplify]: Simplify (* 1 1) into 1
1.047 * [backup-simplify]: Simplify (/ 1 1) into 1
1.047 * [backup-simplify]: Simplify 1 into 1
1.047 * [backup-simplify]: Simplify 1 into 1
1.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.049 * [backup-simplify]: Simplify (+ 0 0) into 0
1.049 * [taylor]: Taking taylor expansion of 0 in im
1.049 * [backup-simplify]: Simplify 0 into 0
1.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.050 * [backup-simplify]: Simplify 0 into 0
1.050 * [backup-simplify]: Simplify 0 into 0
1.050 * [backup-simplify]: Simplify 0 into 0
1.050 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
1.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.052 * [backup-simplify]: Simplify (+ 0 0) into 0
1.052 * [taylor]: Taking taylor expansion of 0 in im
1.052 * [backup-simplify]: Simplify 0 into 0
1.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.053 * [backup-simplify]: Simplify 0 into 0
1.053 * [backup-simplify]: Simplify 0 into 0
1.053 * [backup-simplify]: Simplify 0 into 0
1.054 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
1.054 * * * [progress]: simplifying candidates
1.055 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
1.055 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1))
 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))
 (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))
 (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))
 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))
 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)
 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)
 (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (exp (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))
 (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (* (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt 2.0)
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (* 2.0 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))))
 (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt (* 2.0 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))))
 (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (/ 1 2)
 (/ 1 2)
 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (exp (* h1 h1)) (exp (* h0 h0)))
 (log (+ (* h1 h1) (* h0 h0)))
 (exp (+ (* h1 h1) (* h0 h0)))
 (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))
 (cbrt (+ (* h1 h1) (* h0 h0)))
 (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))
 (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))
 (- (* h1 h1) (* h0 h0))
 h0
 h1
 (* -1 h1)
 (+ h1 h0)
 (* 2 h1)
 0
 (- (+ (* h2 (* (sqrt 2.0) (pow h1 2))) (- (+ (* h2 (* (sqrt 2.0) h0)) (- (* h2 (* (sqrt 2.0) h1)))))))
 (- (+ (* h2 (sqrt 2.0)) (- (+ (* h2 (/ (sqrt 2.0) (pow h1 2))) (- (* h2 (/ (sqrt 2.0) h1)))))))
 0
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
1.145 * * * [progress]: adding candidates to table
1.410 * * [progress]: iteration 2 / 4
1.410 * * * [progress]: picking best candidate
1.426 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
1.426 * * * [progress]: localizing error
1.449 * * * [progress]: generating rewritten candidates
1.449 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
1.458 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
1.467 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
1.511 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
1.606 * * * [progress]: generating series expansions
1.606 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
1.607 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.607 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.607 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.607 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.607 * [taylor]: Taking taylor expansion of re in im
1.607 * [backup-simplify]: Simplify re into re
1.607 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.607 * [taylor]: Taking taylor expansion of im in im
1.607 * [backup-simplify]: Simplify 0 into 0
1.607 * [backup-simplify]: Simplify 1 into 1
1.607 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.607 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.608 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.608 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.608 * [backup-simplify]: Simplify (+ 0 0) into 0
1.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.609 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.609 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.609 * [taylor]: Taking taylor expansion of re in re
1.609 * [backup-simplify]: Simplify 0 into 0
1.609 * [backup-simplify]: Simplify 1 into 1
1.609 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.609 * [taylor]: Taking taylor expansion of im in re
1.609 * [backup-simplify]: Simplify im into im
1.609 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.609 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.609 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.609 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.610 * [backup-simplify]: Simplify (+ 0 0) into 0
1.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.610 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.610 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.610 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.610 * [taylor]: Taking taylor expansion of re in re
1.610 * [backup-simplify]: Simplify 0 into 0
1.610 * [backup-simplify]: Simplify 1 into 1
1.610 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.610 * [taylor]: Taking taylor expansion of im in re
1.610 * [backup-simplify]: Simplify im into im
1.611 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.611 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.611 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.611 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.611 * [backup-simplify]: Simplify (+ 0 0) into 0
1.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.612 * [taylor]: Taking taylor expansion of im in im
1.612 * [backup-simplify]: Simplify 0 into 0
1.612 * [backup-simplify]: Simplify 1 into 1
1.612 * [backup-simplify]: Simplify 0 into 0
1.612 * [taylor]: Taking taylor expansion of 0 in im
1.612 * [backup-simplify]: Simplify 0 into 0
1.612 * [backup-simplify]: Simplify 0 into 0
1.612 * [backup-simplify]: Simplify 1 into 1
1.612 * [backup-simplify]: Simplify (* 1 1) into 1
1.613 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.613 * [backup-simplify]: Simplify (+ 1 0) into 1
1.614 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.614 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.614 * [taylor]: Taking taylor expansion of 1/2 in im
1.614 * [backup-simplify]: Simplify 1/2 into 1/2
1.614 * [taylor]: Taking taylor expansion of im in im
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 1 into 1
1.615 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.617 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.618 * [backup-simplify]: Simplify (+ 0 0) into 0
1.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.618 * [taylor]: Taking taylor expansion of 0 in im
1.618 * [backup-simplify]: Simplify 0 into 0
1.618 * [backup-simplify]: Simplify 0 into 0
1.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.619 * [backup-simplify]: Simplify 0 into 0
1.619 * [backup-simplify]: Simplify 0 into 0
1.619 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.620 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.620 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.620 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.620 * [taylor]: Taking taylor expansion of im in im
1.620 * [backup-simplify]: Simplify 0 into 0
1.620 * [backup-simplify]: Simplify 1 into 1
1.620 * [backup-simplify]: Simplify (* 1 1) into 1
1.621 * [backup-simplify]: Simplify (/ 1 1) into 1
1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.621 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.621 * [taylor]: Taking taylor expansion of re in im
1.621 * [backup-simplify]: Simplify re into re
1.621 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.621 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.622 * [backup-simplify]: Simplify (+ 1 0) into 1
1.622 * [backup-simplify]: Simplify (sqrt 1) into 1
1.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.624 * [backup-simplify]: Simplify (+ 0 0) into 0
1.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.625 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.625 * [taylor]: Taking taylor expansion of im in re
1.625 * [backup-simplify]: Simplify im into im
1.625 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.625 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.625 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.625 * [taylor]: Taking taylor expansion of re in re
1.626 * [backup-simplify]: Simplify 0 into 0
1.626 * [backup-simplify]: Simplify 1 into 1
1.626 * [backup-simplify]: Simplify (* 1 1) into 1
1.626 * [backup-simplify]: Simplify (/ 1 1) into 1
1.627 * [backup-simplify]: Simplify (+ 0 1) into 1
1.627 * [backup-simplify]: Simplify (sqrt 1) into 1
1.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.629 * [backup-simplify]: Simplify (+ 0 0) into 0
1.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.630 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.630 * [taylor]: Taking taylor expansion of im in re
1.630 * [backup-simplify]: Simplify im into im
1.630 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.630 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.630 * [taylor]: Taking taylor expansion of re in re
1.630 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify 1 into 1
1.631 * [backup-simplify]: Simplify (* 1 1) into 1
1.631 * [backup-simplify]: Simplify (/ 1 1) into 1
1.632 * [backup-simplify]: Simplify (+ 0 1) into 1
1.632 * [backup-simplify]: Simplify (sqrt 1) into 1
1.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.634 * [backup-simplify]: Simplify (+ 0 0) into 0
1.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.634 * [taylor]: Taking taylor expansion of 1 in im
1.634 * [backup-simplify]: Simplify 1 into 1
1.635 * [taylor]: Taking taylor expansion of 0 in im
1.635 * [backup-simplify]: Simplify 0 into 0
1.635 * [backup-simplify]: Simplify 1 into 1
1.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.636 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.637 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.637 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.637 * [taylor]: Taking taylor expansion of 1/2 in im
1.637 * [backup-simplify]: Simplify 1/2 into 1/2
1.637 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.637 * [taylor]: Taking taylor expansion of im in im
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [backup-simplify]: Simplify (* 1 1) into 1
1.637 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.638 * [backup-simplify]: Simplify 0 into 0
1.638 * [backup-simplify]: Simplify 0 into 0
1.638 * [backup-simplify]: Simplify 0 into 0
1.639 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.640 * [backup-simplify]: Simplify (+ 0 0) into 0
1.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.641 * [taylor]: Taking taylor expansion of 0 in im
1.641 * [backup-simplify]: Simplify 0 into 0
1.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.642 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.642 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.642 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.642 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.642 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.642 * [taylor]: Taking taylor expansion of im in im
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 1 into 1
1.643 * [backup-simplify]: Simplify (* 1 1) into 1
1.643 * [backup-simplify]: Simplify (/ 1 1) into 1
1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.643 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.643 * [taylor]: Taking taylor expansion of re in im
1.643 * [backup-simplify]: Simplify re into re
1.643 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.643 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.643 * [backup-simplify]: Simplify (+ 1 0) into 1
1.644 * [backup-simplify]: Simplify (sqrt 1) into 1
1.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.645 * [backup-simplify]: Simplify (+ 0 0) into 0
1.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.645 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.645 * [taylor]: Taking taylor expansion of im in re
1.645 * [backup-simplify]: Simplify im into im
1.645 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.645 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.645 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.645 * [taylor]: Taking taylor expansion of re in re
1.645 * [backup-simplify]: Simplify 0 into 0
1.645 * [backup-simplify]: Simplify 1 into 1
1.646 * [backup-simplify]: Simplify (* 1 1) into 1
1.646 * [backup-simplify]: Simplify (/ 1 1) into 1
1.646 * [backup-simplify]: Simplify (+ 0 1) into 1
1.646 * [backup-simplify]: Simplify (sqrt 1) into 1
1.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.647 * [backup-simplify]: Simplify (+ 0 0) into 0
1.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.648 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.648 * [taylor]: Taking taylor expansion of im in re
1.648 * [backup-simplify]: Simplify im into im
1.648 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.648 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.648 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.648 * [taylor]: Taking taylor expansion of re in re
1.648 * [backup-simplify]: Simplify 0 into 0
1.648 * [backup-simplify]: Simplify 1 into 1
1.649 * [backup-simplify]: Simplify (* 1 1) into 1
1.649 * [backup-simplify]: Simplify (/ 1 1) into 1
1.649 * [backup-simplify]: Simplify (+ 0 1) into 1
1.649 * [backup-simplify]: Simplify (sqrt 1) into 1
1.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.650 * [backup-simplify]: Simplify (+ 0 0) into 0
1.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.651 * [taylor]: Taking taylor expansion of 1 in im
1.651 * [backup-simplify]: Simplify 1 into 1
1.651 * [taylor]: Taking taylor expansion of 0 in im
1.651 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify 1 into 1
1.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.652 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.653 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.653 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.653 * [taylor]: Taking taylor expansion of 1/2 in im
1.653 * [backup-simplify]: Simplify 1/2 into 1/2
1.653 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.653 * [taylor]: Taking taylor expansion of im in im
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 1 into 1
1.653 * [backup-simplify]: Simplify (* 1 1) into 1
1.654 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.654 * [backup-simplify]: Simplify 0 into 0
1.654 * [backup-simplify]: Simplify 0 into 0
1.654 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.656 * [backup-simplify]: Simplify (+ 0 0) into 0
1.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.657 * [taylor]: Taking taylor expansion of 0 in im
1.657 * [backup-simplify]: Simplify 0 into 0
1.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.658 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
1.658 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.658 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.658 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.658 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.658 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.658 * [taylor]: Taking taylor expansion of re in im
1.658 * [backup-simplify]: Simplify re into re
1.658 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.658 * [taylor]: Taking taylor expansion of im in im
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify 1 into 1
1.658 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.658 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.659 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.659 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.659 * [backup-simplify]: Simplify (+ 0 0) into 0
1.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.659 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.659 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.659 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.659 * [taylor]: Taking taylor expansion of re in re
1.659 * [backup-simplify]: Simplify 0 into 0
1.659 * [backup-simplify]: Simplify 1 into 1
1.659 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.659 * [taylor]: Taking taylor expansion of im in re
1.659 * [backup-simplify]: Simplify im into im
1.659 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.659 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.659 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.659 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.660 * [backup-simplify]: Simplify (+ 0 0) into 0
1.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.660 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.660 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.660 * [taylor]: Taking taylor expansion of re in re
1.660 * [backup-simplify]: Simplify 0 into 0
1.660 * [backup-simplify]: Simplify 1 into 1
1.660 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.660 * [taylor]: Taking taylor expansion of im in re
1.660 * [backup-simplify]: Simplify im into im
1.660 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.660 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.660 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.660 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.660 * [backup-simplify]: Simplify (+ 0 0) into 0
1.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.661 * [taylor]: Taking taylor expansion of im in im
1.661 * [backup-simplify]: Simplify 0 into 0
1.661 * [backup-simplify]: Simplify 1 into 1
1.661 * [backup-simplify]: Simplify 0 into 0
1.661 * [taylor]: Taking taylor expansion of 0 in im
1.661 * [backup-simplify]: Simplify 0 into 0
1.661 * [backup-simplify]: Simplify 0 into 0
1.661 * [backup-simplify]: Simplify 1 into 1
1.661 * [backup-simplify]: Simplify (* 1 1) into 1
1.661 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.662 * [backup-simplify]: Simplify (+ 1 0) into 1
1.662 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.662 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.662 * [taylor]: Taking taylor expansion of 1/2 in im
1.662 * [backup-simplify]: Simplify 1/2 into 1/2
1.662 * [taylor]: Taking taylor expansion of im in im
1.662 * [backup-simplify]: Simplify 0 into 0
1.662 * [backup-simplify]: Simplify 1 into 1
1.663 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.664 * [backup-simplify]: Simplify 0 into 0
1.664 * [backup-simplify]: Simplify 0 into 0
1.664 * [backup-simplify]: Simplify 0 into 0
1.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.665 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.666 * [backup-simplify]: Simplify (+ 0 0) into 0
1.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.666 * [taylor]: Taking taylor expansion of 0 in im
1.666 * [backup-simplify]: Simplify 0 into 0
1.666 * [backup-simplify]: Simplify 0 into 0
1.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.667 * [backup-simplify]: Simplify 0 into 0
1.667 * [backup-simplify]: Simplify 0 into 0
1.667 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.667 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.668 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.668 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.668 * [taylor]: Taking taylor expansion of im in im
1.668 * [backup-simplify]: Simplify 0 into 0
1.668 * [backup-simplify]: Simplify 1 into 1
1.668 * [backup-simplify]: Simplify (* 1 1) into 1
1.669 * [backup-simplify]: Simplify (/ 1 1) into 1
1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.669 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.669 * [taylor]: Taking taylor expansion of re in im
1.669 * [backup-simplify]: Simplify re into re
1.669 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.669 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.669 * [backup-simplify]: Simplify (+ 1 0) into 1
1.670 * [backup-simplify]: Simplify (sqrt 1) into 1
1.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.672 * [backup-simplify]: Simplify (+ 0 0) into 0
1.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.673 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.673 * [taylor]: Taking taylor expansion of im in re
1.673 * [backup-simplify]: Simplify im into im
1.673 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.673 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.673 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.673 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.673 * [taylor]: Taking taylor expansion of re in re
1.673 * [backup-simplify]: Simplify 0 into 0
1.673 * [backup-simplify]: Simplify 1 into 1
1.674 * [backup-simplify]: Simplify (* 1 1) into 1
1.674 * [backup-simplify]: Simplify (/ 1 1) into 1
1.674 * [backup-simplify]: Simplify (+ 0 1) into 1
1.675 * [backup-simplify]: Simplify (sqrt 1) into 1
1.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.677 * [backup-simplify]: Simplify (+ 0 0) into 0
1.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.677 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.677 * [taylor]: Taking taylor expansion of im in re
1.677 * [backup-simplify]: Simplify im into im
1.678 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.678 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.678 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.678 * [taylor]: Taking taylor expansion of re in re
1.678 * [backup-simplify]: Simplify 0 into 0
1.678 * [backup-simplify]: Simplify 1 into 1
1.678 * [backup-simplify]: Simplify (* 1 1) into 1
1.679 * [backup-simplify]: Simplify (/ 1 1) into 1
1.679 * [backup-simplify]: Simplify (+ 0 1) into 1
1.679 * [backup-simplify]: Simplify (sqrt 1) into 1
1.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.681 * [backup-simplify]: Simplify (+ 0 0) into 0
1.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.682 * [taylor]: Taking taylor expansion of 1 in im
1.682 * [backup-simplify]: Simplify 1 into 1
1.682 * [taylor]: Taking taylor expansion of 0 in im
1.682 * [backup-simplify]: Simplify 0 into 0
1.682 * [backup-simplify]: Simplify 1 into 1
1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.685 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.686 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.686 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.686 * [taylor]: Taking taylor expansion of 1/2 in im
1.686 * [backup-simplify]: Simplify 1/2 into 1/2
1.686 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.686 * [taylor]: Taking taylor expansion of im in im
1.687 * [backup-simplify]: Simplify 0 into 0
1.687 * [backup-simplify]: Simplify 1 into 1
1.687 * [backup-simplify]: Simplify (* 1 1) into 1
1.687 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.689 * [backup-simplify]: Simplify 0 into 0
1.689 * [backup-simplify]: Simplify 0 into 0
1.689 * [backup-simplify]: Simplify 0 into 0
1.689 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.692 * [backup-simplify]: Simplify (+ 0 0) into 0
1.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.693 * [taylor]: Taking taylor expansion of 0 in im
1.693 * [backup-simplify]: Simplify 0 into 0
1.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.694 * [backup-simplify]: Simplify 0 into 0
1.694 * [backup-simplify]: Simplify 0 into 0
1.694 * [backup-simplify]: Simplify 0 into 0
1.695 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.695 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.695 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.695 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.695 * [taylor]: Taking taylor expansion of im in im
1.695 * [backup-simplify]: Simplify 0 into 0
1.695 * [backup-simplify]: Simplify 1 into 1
1.695 * [backup-simplify]: Simplify (* 1 1) into 1
1.695 * [backup-simplify]: Simplify (/ 1 1) into 1
1.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.695 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.695 * [taylor]: Taking taylor expansion of re in im
1.696 * [backup-simplify]: Simplify re into re
1.696 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.696 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.696 * [backup-simplify]: Simplify (+ 1 0) into 1
1.696 * [backup-simplify]: Simplify (sqrt 1) into 1
1.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.697 * [backup-simplify]: Simplify (+ 0 0) into 0
1.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.698 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.698 * [taylor]: Taking taylor expansion of im in re
1.698 * [backup-simplify]: Simplify im into im
1.698 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.698 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.698 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.698 * [taylor]: Taking taylor expansion of re in re
1.698 * [backup-simplify]: Simplify 0 into 0
1.698 * [backup-simplify]: Simplify 1 into 1
1.698 * [backup-simplify]: Simplify (* 1 1) into 1
1.699 * [backup-simplify]: Simplify (/ 1 1) into 1
1.699 * [backup-simplify]: Simplify (+ 0 1) into 1
1.699 * [backup-simplify]: Simplify (sqrt 1) into 1
1.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.700 * [backup-simplify]: Simplify (+ 0 0) into 0
1.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.701 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.701 * [taylor]: Taking taylor expansion of im in re
1.701 * [backup-simplify]: Simplify im into im
1.701 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.701 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.701 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.701 * [taylor]: Taking taylor expansion of re in re
1.701 * [backup-simplify]: Simplify 0 into 0
1.701 * [backup-simplify]: Simplify 1 into 1
1.701 * [backup-simplify]: Simplify (* 1 1) into 1
1.701 * [backup-simplify]: Simplify (/ 1 1) into 1
1.702 * [backup-simplify]: Simplify (+ 0 1) into 1
1.702 * [backup-simplify]: Simplify (sqrt 1) into 1
1.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.703 * [backup-simplify]: Simplify (+ 0 0) into 0
1.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.703 * [taylor]: Taking taylor expansion of 1 in im
1.703 * [backup-simplify]: Simplify 1 into 1
1.703 * [taylor]: Taking taylor expansion of 0 in im
1.703 * [backup-simplify]: Simplify 0 into 0
1.703 * [backup-simplify]: Simplify 1 into 1
1.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.705 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.710 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.710 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.710 * [taylor]: Taking taylor expansion of 1/2 in im
1.710 * [backup-simplify]: Simplify 1/2 into 1/2
1.710 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.710 * [taylor]: Taking taylor expansion of im in im
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify 1 into 1
1.710 * [backup-simplify]: Simplify (* 1 1) into 1
1.711 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.711 * [backup-simplify]: Simplify 0 into 0
1.712 * [backup-simplify]: Simplify 0 into 0
1.712 * [backup-simplify]: Simplify 0 into 0
1.712 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.713 * [backup-simplify]: Simplify (+ 0 0) into 0
1.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.714 * [taylor]: Taking taylor expansion of 0 in im
1.714 * [backup-simplify]: Simplify 0 into 0
1.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.715 * [backup-simplify]: Simplify 0 into 0
1.715 * [backup-simplify]: Simplify 0 into 0
1.715 * [backup-simplify]: Simplify 0 into 0
1.715 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
1.715 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
1.715 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
1.715 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
1.715 * [taylor]: Taking taylor expansion of re in im
1.715 * [backup-simplify]: Simplify re into re
1.715 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.715 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.716 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.716 * [taylor]: Taking taylor expansion of re in im
1.716 * [backup-simplify]: Simplify re into re
1.716 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.716 * [taylor]: Taking taylor expansion of im in im
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 1 into 1
1.716 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.716 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.716 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.716 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.716 * [backup-simplify]: Simplify (+ 0 0) into 0
1.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.716 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
1.716 * [taylor]: Taking taylor expansion of re in re
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 1 into 1
1.716 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.716 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.716 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.716 * [taylor]: Taking taylor expansion of re in re
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 1 into 1
1.716 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.717 * [taylor]: Taking taylor expansion of im in re
1.717 * [backup-simplify]: Simplify im into im
1.717 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.717 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.717 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.717 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.717 * [backup-simplify]: Simplify (+ 0 0) into 0
1.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.717 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
1.717 * [taylor]: Taking taylor expansion of re in re
1.717 * [backup-simplify]: Simplify 0 into 0
1.717 * [backup-simplify]: Simplify 1 into 1
1.717 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.717 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.717 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.717 * [taylor]: Taking taylor expansion of re in re
1.717 * [backup-simplify]: Simplify 0 into 0
1.717 * [backup-simplify]: Simplify 1 into 1
1.717 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.717 * [taylor]: Taking taylor expansion of im in re
1.717 * [backup-simplify]: Simplify im into im
1.717 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.718 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.718 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.718 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.718 * [backup-simplify]: Simplify (+ 0 0) into 0
1.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.718 * [backup-simplify]: Simplify (+ 0 im) into im
1.718 * [taylor]: Taking taylor expansion of im in im
1.718 * [backup-simplify]: Simplify 0 into 0
1.718 * [backup-simplify]: Simplify 1 into 1
1.718 * [backup-simplify]: Simplify 0 into 0
1.718 * [backup-simplify]: Simplify (+ 1 0) into 1
1.719 * [taylor]: Taking taylor expansion of 1 in im
1.719 * [backup-simplify]: Simplify 1 into 1
1.719 * [backup-simplify]: Simplify 1 into 1
1.719 * [backup-simplify]: Simplify 1 into 1
1.719 * [backup-simplify]: Simplify (* 1 1) into 1
1.719 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.719 * [backup-simplify]: Simplify (+ 1 0) into 1
1.720 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.720 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
1.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
1.720 * [taylor]: Taking taylor expansion of 1/2 in im
1.720 * [backup-simplify]: Simplify 1/2 into 1/2
1.720 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.720 * [taylor]: Taking taylor expansion of im in im
1.720 * [backup-simplify]: Simplify 0 into 0
1.720 * [backup-simplify]: Simplify 1 into 1
1.720 * [backup-simplify]: Simplify (/ 1 1) into 1
1.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.721 * [backup-simplify]: Simplify 0 into 0
1.721 * [backup-simplify]: Simplify 0 into 0
1.721 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.722 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.723 * [backup-simplify]: Simplify (+ 0 0) into 0
1.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.723 * [backup-simplify]: Simplify (+ 0 0) into 0
1.723 * [taylor]: Taking taylor expansion of 0 in im
1.723 * [backup-simplify]: Simplify 0 into 0
1.724 * [backup-simplify]: Simplify 0 into 0
1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.725 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
1.727 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
1.727 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
1.727 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
1.727 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.727 * [taylor]: Taking taylor expansion of re in im
1.727 * [backup-simplify]: Simplify re into re
1.727 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.727 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.727 * [taylor]: Taking taylor expansion of im in im
1.727 * [backup-simplify]: Simplify 0 into 0
1.727 * [backup-simplify]: Simplify 1 into 1
1.728 * [backup-simplify]: Simplify (* 1 1) into 1
1.728 * [backup-simplify]: Simplify (/ 1 1) into 1
1.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.728 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.728 * [taylor]: Taking taylor expansion of re in im
1.728 * [backup-simplify]: Simplify re into re
1.728 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.728 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.729 * [backup-simplify]: Simplify (+ 1 0) into 1
1.729 * [backup-simplify]: Simplify (sqrt 1) into 1
1.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.731 * [backup-simplify]: Simplify (+ 0 0) into 0
1.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.732 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.732 * [taylor]: Taking taylor expansion of re in re
1.732 * [backup-simplify]: Simplify 0 into 0
1.732 * [backup-simplify]: Simplify 1 into 1
1.732 * [backup-simplify]: Simplify (/ 1 1) into 1
1.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.732 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.732 * [taylor]: Taking taylor expansion of im in re
1.732 * [backup-simplify]: Simplify im into im
1.733 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.733 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.733 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.733 * [taylor]: Taking taylor expansion of re in re
1.733 * [backup-simplify]: Simplify 0 into 0
1.733 * [backup-simplify]: Simplify 1 into 1
1.733 * [backup-simplify]: Simplify (* 1 1) into 1
1.734 * [backup-simplify]: Simplify (/ 1 1) into 1
1.734 * [backup-simplify]: Simplify (+ 0 1) into 1
1.734 * [backup-simplify]: Simplify (sqrt 1) into 1
1.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.736 * [backup-simplify]: Simplify (+ 0 0) into 0
1.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.737 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.737 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.737 * [taylor]: Taking taylor expansion of re in re
1.737 * [backup-simplify]: Simplify 0 into 0
1.737 * [backup-simplify]: Simplify 1 into 1
1.737 * [backup-simplify]: Simplify (/ 1 1) into 1
1.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.738 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.738 * [taylor]: Taking taylor expansion of im in re
1.738 * [backup-simplify]: Simplify im into im
1.738 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.738 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.738 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.738 * [taylor]: Taking taylor expansion of re in re
1.738 * [backup-simplify]: Simplify 0 into 0
1.738 * [backup-simplify]: Simplify 1 into 1
1.739 * [backup-simplify]: Simplify (* 1 1) into 1
1.739 * [backup-simplify]: Simplify (/ 1 1) into 1
1.739 * [backup-simplify]: Simplify (+ 0 1) into 1
1.740 * [backup-simplify]: Simplify (sqrt 1) into 1
1.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.741 * [backup-simplify]: Simplify (+ 0 0) into 0
1.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.743 * [backup-simplify]: Simplify (+ 1 1) into 2
1.743 * [taylor]: Taking taylor expansion of 2 in im
1.743 * [backup-simplify]: Simplify 2 into 2
1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.744 * [backup-simplify]: Simplify (+ 0 0) into 0
1.744 * [taylor]: Taking taylor expansion of 0 in im
1.744 * [backup-simplify]: Simplify 0 into 0
1.744 * [backup-simplify]: Simplify 2 into 2
1.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.747 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.749 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.749 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
1.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.749 * [taylor]: Taking taylor expansion of 1/2 in im
1.749 * [backup-simplify]: Simplify 1/2 into 1/2
1.749 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.749 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.749 * [taylor]: Taking taylor expansion of im in im
1.749 * [backup-simplify]: Simplify 0 into 0
1.749 * [backup-simplify]: Simplify 1 into 1
1.750 * [backup-simplify]: Simplify (* 1 1) into 1
1.750 * [backup-simplify]: Simplify (/ 1 1) into 1
1.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 0 into 0
1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.753 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.756 * [backup-simplify]: Simplify (+ 0 0) into 0
1.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.757 * [backup-simplify]: Simplify (+ 0 0) into 0
1.757 * [taylor]: Taking taylor expansion of 0 in im
1.757 * [backup-simplify]: Simplify 0 into 0
1.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.760 * [backup-simplify]: Simplify 0 into 0
1.760 * [backup-simplify]: Simplify 0 into 0
1.760 * [backup-simplify]: Simplify 0 into 0
1.760 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
1.761 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
1.761 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
1.761 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
1.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.761 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.761 * [taylor]: Taking taylor expansion of im in im
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 1 into 1
1.762 * [backup-simplify]: Simplify (* 1 1) into 1
1.762 * [backup-simplify]: Simplify (/ 1 1) into 1
1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.762 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.762 * [taylor]: Taking taylor expansion of re in im
1.762 * [backup-simplify]: Simplify re into re
1.762 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.762 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.763 * [backup-simplify]: Simplify (+ 1 0) into 1
1.763 * [backup-simplify]: Simplify (sqrt 1) into 1
1.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.765 * [backup-simplify]: Simplify (+ 0 0) into 0
1.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.766 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.766 * [taylor]: Taking taylor expansion of re in im
1.766 * [backup-simplify]: Simplify re into re
1.766 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.766 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
1.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.766 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.766 * [taylor]: Taking taylor expansion of im in re
1.766 * [backup-simplify]: Simplify im into im
1.766 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.767 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.767 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.767 * [taylor]: Taking taylor expansion of re in re
1.767 * [backup-simplify]: Simplify 0 into 0
1.767 * [backup-simplify]: Simplify 1 into 1
1.767 * [backup-simplify]: Simplify (* 1 1) into 1
1.767 * [backup-simplify]: Simplify (/ 1 1) into 1
1.768 * [backup-simplify]: Simplify (+ 0 1) into 1
1.768 * [backup-simplify]: Simplify (sqrt 1) into 1
1.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.770 * [backup-simplify]: Simplify (+ 0 0) into 0
1.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.771 * [taylor]: Taking taylor expansion of re in re
1.771 * [backup-simplify]: Simplify 0 into 0
1.771 * [backup-simplify]: Simplify 1 into 1
1.771 * [backup-simplify]: Simplify (/ 1 1) into 1
1.772 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
1.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.772 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.772 * [taylor]: Taking taylor expansion of im in re
1.772 * [backup-simplify]: Simplify im into im
1.772 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.772 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.772 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.772 * [taylor]: Taking taylor expansion of re in re
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 1 into 1
1.773 * [backup-simplify]: Simplify (* 1 1) into 1
1.773 * [backup-simplify]: Simplify (/ 1 1) into 1
1.773 * [backup-simplify]: Simplify (+ 0 1) into 1
1.774 * [backup-simplify]: Simplify (sqrt 1) into 1
1.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.776 * [backup-simplify]: Simplify (+ 0 0) into 0
1.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.776 * [taylor]: Taking taylor expansion of re in re
1.776 * [backup-simplify]: Simplify 0 into 0
1.777 * [backup-simplify]: Simplify 1 into 1
1.777 * [backup-simplify]: Simplify (/ 1 1) into 1
1.777 * [backup-simplify]: Simplify (- 1) into -1
1.778 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.778 * [taylor]: Taking taylor expansion of 0 in im
1.778 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.779 * [backup-simplify]: Simplify (- 0) into 0
1.779 * [backup-simplify]: Simplify (+ 0 0) into 0
1.779 * [taylor]: Taking taylor expansion of 0 in im
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.782 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.784 * [backup-simplify]: Simplify (- 0) into 0
1.784 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.785 * [taylor]: Taking taylor expansion of 1/2 in im
1.785 * [backup-simplify]: Simplify 1/2 into 1/2
1.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.785 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.785 * [taylor]: Taking taylor expansion of im in im
1.785 * [backup-simplify]: Simplify 0 into 0
1.785 * [backup-simplify]: Simplify 1 into 1
1.785 * [backup-simplify]: Simplify (* 1 1) into 1
1.785 * [backup-simplify]: Simplify (/ 1 1) into 1
1.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.788 * [backup-simplify]: Simplify 0 into 0
1.788 * [backup-simplify]: Simplify 0 into 0
1.788 * [backup-simplify]: Simplify 0 into 0
1.788 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.790 * [backup-simplify]: Simplify (+ 0 0) into 0
1.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.792 * [backup-simplify]: Simplify (- 0) into 0
1.792 * [backup-simplify]: Simplify (+ 0 0) into 0
1.792 * [taylor]: Taking taylor expansion of 0 in im
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.793 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
1.794 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
1.794 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.794 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.794 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.794 * [taylor]: Taking taylor expansion of re in im
1.794 * [backup-simplify]: Simplify re into re
1.794 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.794 * [taylor]: Taking taylor expansion of im in im
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify 1 into 1
1.794 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.794 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.794 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.794 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.795 * [backup-simplify]: Simplify (+ 0 0) into 0
1.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.795 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.795 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.795 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.795 * [taylor]: Taking taylor expansion of re in re
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [backup-simplify]: Simplify 1 into 1
1.795 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.795 * [taylor]: Taking taylor expansion of im in re
1.795 * [backup-simplify]: Simplify im into im
1.795 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.795 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.795 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.795 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.796 * [backup-simplify]: Simplify (+ 0 0) into 0
1.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.796 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.796 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.796 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.796 * [taylor]: Taking taylor expansion of re in re
1.796 * [backup-simplify]: Simplify 0 into 0
1.796 * [backup-simplify]: Simplify 1 into 1
1.796 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.796 * [taylor]: Taking taylor expansion of im in re
1.796 * [backup-simplify]: Simplify im into im
1.796 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.796 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.796 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.796 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.796 * [backup-simplify]: Simplify (+ 0 0) into 0
1.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.797 * [taylor]: Taking taylor expansion of im in im
1.797 * [backup-simplify]: Simplify 0 into 0
1.797 * [backup-simplify]: Simplify 1 into 1
1.797 * [backup-simplify]: Simplify 0 into 0
1.797 * [taylor]: Taking taylor expansion of 0 in im
1.797 * [backup-simplify]: Simplify 0 into 0
1.797 * [backup-simplify]: Simplify 0 into 0
1.797 * [backup-simplify]: Simplify 1 into 1
1.797 * [backup-simplify]: Simplify (* 1 1) into 1
1.797 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.797 * [backup-simplify]: Simplify (+ 1 0) into 1
1.798 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.798 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.798 * [taylor]: Taking taylor expansion of 1/2 in im
1.798 * [backup-simplify]: Simplify 1/2 into 1/2
1.798 * [taylor]: Taking taylor expansion of im in im
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify 1 into 1
1.798 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.799 * [backup-simplify]: Simplify 0 into 0
1.799 * [backup-simplify]: Simplify 0 into 0
1.799 * [backup-simplify]: Simplify 0 into 0
1.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.800 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.800 * [backup-simplify]: Simplify (+ 0 0) into 0
1.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.800 * [taylor]: Taking taylor expansion of 0 in im
1.800 * [backup-simplify]: Simplify 0 into 0
1.800 * [backup-simplify]: Simplify 0 into 0
1.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.801 * [backup-simplify]: Simplify 0 into 0
1.801 * [backup-simplify]: Simplify 0 into 0
1.801 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.801 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.801 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.801 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.801 * [taylor]: Taking taylor expansion of im in im
1.801 * [backup-simplify]: Simplify 0 into 0
1.801 * [backup-simplify]: Simplify 1 into 1
1.802 * [backup-simplify]: Simplify (* 1 1) into 1
1.802 * [backup-simplify]: Simplify (/ 1 1) into 1
1.802 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.802 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.802 * [taylor]: Taking taylor expansion of re in im
1.802 * [backup-simplify]: Simplify re into re
1.802 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.802 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.802 * [backup-simplify]: Simplify (+ 1 0) into 1
1.803 * [backup-simplify]: Simplify (sqrt 1) into 1
1.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.804 * [backup-simplify]: Simplify (+ 0 0) into 0
1.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.805 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.805 * [taylor]: Taking taylor expansion of im in re
1.805 * [backup-simplify]: Simplify im into im
1.805 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.805 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.805 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.805 * [taylor]: Taking taylor expansion of re in re
1.805 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify 1 into 1
1.805 * [backup-simplify]: Simplify (* 1 1) into 1
1.805 * [backup-simplify]: Simplify (/ 1 1) into 1
1.806 * [backup-simplify]: Simplify (+ 0 1) into 1
1.806 * [backup-simplify]: Simplify (sqrt 1) into 1
1.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.807 * [backup-simplify]: Simplify (+ 0 0) into 0
1.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.807 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.807 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.807 * [taylor]: Taking taylor expansion of im in re
1.807 * [backup-simplify]: Simplify im into im
1.808 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.808 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.808 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.808 * [taylor]: Taking taylor expansion of re in re
1.808 * [backup-simplify]: Simplify 0 into 0
1.808 * [backup-simplify]: Simplify 1 into 1
1.808 * [backup-simplify]: Simplify (* 1 1) into 1
1.808 * [backup-simplify]: Simplify (/ 1 1) into 1
1.808 * [backup-simplify]: Simplify (+ 0 1) into 1
1.809 * [backup-simplify]: Simplify (sqrt 1) into 1
1.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.810 * [backup-simplify]: Simplify (+ 0 0) into 0
1.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.810 * [taylor]: Taking taylor expansion of 1 in im
1.810 * [backup-simplify]: Simplify 1 into 1
1.810 * [taylor]: Taking taylor expansion of 0 in im
1.810 * [backup-simplify]: Simplify 0 into 0
1.810 * [backup-simplify]: Simplify 1 into 1
1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.812 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.812 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.812 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.812 * [taylor]: Taking taylor expansion of 1/2 in im
1.812 * [backup-simplify]: Simplify 1/2 into 1/2
1.813 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.813 * [taylor]: Taking taylor expansion of im in im
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 1 into 1
1.813 * [backup-simplify]: Simplify (* 1 1) into 1
1.813 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.814 * [backup-simplify]: Simplify 0 into 0
1.814 * [backup-simplify]: Simplify 0 into 0
1.814 * [backup-simplify]: Simplify 0 into 0
1.814 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.816 * [backup-simplify]: Simplify (+ 0 0) into 0
1.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.816 * [taylor]: Taking taylor expansion of 0 in im
1.816 * [backup-simplify]: Simplify 0 into 0
1.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.817 * [backup-simplify]: Simplify 0 into 0
1.817 * [backup-simplify]: Simplify 0 into 0
1.817 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.818 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.818 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.818 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.818 * [taylor]: Taking taylor expansion of im in im
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify 1 into 1
1.819 * [backup-simplify]: Simplify (* 1 1) into 1
1.819 * [backup-simplify]: Simplify (/ 1 1) into 1
1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.819 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.819 * [taylor]: Taking taylor expansion of re in im
1.819 * [backup-simplify]: Simplify re into re
1.819 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.820 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.820 * [backup-simplify]: Simplify (+ 1 0) into 1
1.820 * [backup-simplify]: Simplify (sqrt 1) into 1
1.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.822 * [backup-simplify]: Simplify (+ 0 0) into 0
1.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.823 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.823 * [taylor]: Taking taylor expansion of im in re
1.823 * [backup-simplify]: Simplify im into im
1.823 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.823 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.823 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.823 * [taylor]: Taking taylor expansion of re in re
1.823 * [backup-simplify]: Simplify 0 into 0
1.824 * [backup-simplify]: Simplify 1 into 1
1.824 * [backup-simplify]: Simplify (* 1 1) into 1
1.824 * [backup-simplify]: Simplify (/ 1 1) into 1
1.825 * [backup-simplify]: Simplify (+ 0 1) into 1
1.825 * [backup-simplify]: Simplify (sqrt 1) into 1
1.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.827 * [backup-simplify]: Simplify (+ 0 0) into 0
1.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.828 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.828 * [taylor]: Taking taylor expansion of im in re
1.828 * [backup-simplify]: Simplify im into im
1.828 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.828 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.828 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.828 * [taylor]: Taking taylor expansion of re in re
1.828 * [backup-simplify]: Simplify 0 into 0
1.828 * [backup-simplify]: Simplify 1 into 1
1.829 * [backup-simplify]: Simplify (* 1 1) into 1
1.829 * [backup-simplify]: Simplify (/ 1 1) into 1
1.829 * [backup-simplify]: Simplify (+ 0 1) into 1
1.830 * [backup-simplify]: Simplify (sqrt 1) into 1
1.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.832 * [backup-simplify]: Simplify (+ 0 0) into 0
1.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.832 * [taylor]: Taking taylor expansion of 1 in im
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [taylor]: Taking taylor expansion of 0 in im
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 1 into 1
1.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.835 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.836 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.836 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.836 * [taylor]: Taking taylor expansion of 1/2 in im
1.836 * [backup-simplify]: Simplify 1/2 into 1/2
1.836 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.836 * [taylor]: Taking taylor expansion of im in im
1.836 * [backup-simplify]: Simplify 0 into 0
1.836 * [backup-simplify]: Simplify 1 into 1
1.837 * [backup-simplify]: Simplify (* 1 1) into 1
1.841 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.846 * [backup-simplify]: Simplify (+ 0 0) into 0
1.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.847 * [taylor]: Taking taylor expansion of 0 in im
1.847 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.849 * * * [progress]: simplifying candidates
1.853 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
1.855 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (exp (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp h1))
 (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (exp (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (* (cbrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (cbrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (cbrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (* (* (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1) (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (sqrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (sqrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (+ (pow (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow h1 3))
 (+ (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (- (* h1 h1) (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (- (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* h1 h1))
 (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)
 (+ (/ 1 2) (/ 1 2))
 (+ (/ 1 2) (/ 1 2))
 (+ 1 1)
 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
 (+ (/ 1 2) (/ 1 2))
 (+ (/ 1 2) (/ 1 2))
 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
 (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0)))
 (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0)))
 (+ 1 1)
 (+ (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (log (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (exp (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (cbrt (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (cbrt (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (sqrt (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))))
 (* (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))) (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))) (sqrt (sqrt (- (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))))
 (* (sqrt (sqrt (- (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (- (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* h1 h1) (* h0 h0)))))
 (* (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* 1 1)
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* 2 (/ 1 2))
 (* 2 1)
 (* 2 (/ (/ 1 2) 2))
 (* 2 (/ 1 2))
 (* 2 (/ (/ 1 2) 2))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 1)
 (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (+ h1 h0)
 (* 2 h1)
 0
 h0
 h1
 (* -1 h1)
1.982 * * * [progress]: adding candidates to table
2.426 * * [progress]: iteration 3 / 4
2.426 * * * [progress]: picking best candidate
2.451 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
2.451 * * * [progress]: localizing error
2.469 * * * [progress]: generating rewritten candidates
2.469 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 2 1)
2.478 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
2.626 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2)
2.689 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
2.740 * * * [progress]: generating series expansions
2.740 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 2 1)
2.741 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.741 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.741 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.741 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.741 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.741 * [taylor]: Taking taylor expansion of re in im
2.741 * [backup-simplify]: Simplify re into re
2.741 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.741 * [taylor]: Taking taylor expansion of im in im
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.741 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.741 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.741 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.742 * [backup-simplify]: Simplify (+ 0 0) into 0
2.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.742 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.742 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.742 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.743 * [taylor]: Taking taylor expansion of re in re
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.743 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.743 * [taylor]: Taking taylor expansion of im in re
2.743 * [backup-simplify]: Simplify im into im
2.743 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.743 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.743 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.743 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.744 * [backup-simplify]: Simplify (+ 0 0) into 0
2.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.744 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.744 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.744 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.744 * [taylor]: Taking taylor expansion of re in re
2.744 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify 1 into 1
2.744 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.744 * [taylor]: Taking taylor expansion of im in re
2.744 * [backup-simplify]: Simplify im into im
2.744 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.744 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.745 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.745 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.745 * [backup-simplify]: Simplify (+ 0 0) into 0
2.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.745 * [taylor]: Taking taylor expansion of im in im
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 1 into 1
2.745 * [backup-simplify]: Simplify 0 into 0
2.746 * [taylor]: Taking taylor expansion of 0 in im
2.746 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify 1 into 1
2.746 * [backup-simplify]: Simplify (* 1 1) into 1
2.747 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.747 * [backup-simplify]: Simplify (+ 1 0) into 1
2.748 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.748 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.748 * [taylor]: Taking taylor expansion of 1/2 in im
2.748 * [backup-simplify]: Simplify 1/2 into 1/2
2.748 * [taylor]: Taking taylor expansion of im in im
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 1 into 1
2.749 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.749 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.751 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.751 * [backup-simplify]: Simplify (+ 0 0) into 0
2.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.755 * [taylor]: Taking taylor expansion of 0 in im
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.757 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.757 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.757 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.757 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.757 * [taylor]: Taking taylor expansion of im in im
2.757 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify 1 into 1
2.758 * [backup-simplify]: Simplify (* 1 1) into 1
2.758 * [backup-simplify]: Simplify (/ 1 1) into 1
2.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.758 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.758 * [taylor]: Taking taylor expansion of re in im
2.758 * [backup-simplify]: Simplify re into re
2.758 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.758 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.759 * [backup-simplify]: Simplify (+ 1 0) into 1
2.759 * [backup-simplify]: Simplify (sqrt 1) into 1
2.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.761 * [backup-simplify]: Simplify (+ 0 0) into 0
2.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.762 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.762 * [taylor]: Taking taylor expansion of im in re
2.762 * [backup-simplify]: Simplify im into im
2.762 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.762 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.763 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.763 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.763 * [taylor]: Taking taylor expansion of re in re
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify 1 into 1
2.763 * [backup-simplify]: Simplify (* 1 1) into 1
2.763 * [backup-simplify]: Simplify (/ 1 1) into 1
2.764 * [backup-simplify]: Simplify (+ 0 1) into 1
2.764 * [backup-simplify]: Simplify (sqrt 1) into 1
2.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.766 * [backup-simplify]: Simplify (+ 0 0) into 0
2.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.767 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.767 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.767 * [taylor]: Taking taylor expansion of im in re
2.767 * [backup-simplify]: Simplify im into im
2.767 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.767 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.767 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.767 * [taylor]: Taking taylor expansion of re in re
2.767 * [backup-simplify]: Simplify 0 into 0
2.767 * [backup-simplify]: Simplify 1 into 1
2.768 * [backup-simplify]: Simplify (* 1 1) into 1
2.768 * [backup-simplify]: Simplify (/ 1 1) into 1
2.769 * [backup-simplify]: Simplify (+ 0 1) into 1
2.769 * [backup-simplify]: Simplify (sqrt 1) into 1
2.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.771 * [backup-simplify]: Simplify (+ 0 0) into 0
2.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.772 * [taylor]: Taking taylor expansion of 1 in im
2.772 * [backup-simplify]: Simplify 1 into 1
2.772 * [taylor]: Taking taylor expansion of 0 in im
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 1 into 1
2.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.774 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.776 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.776 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.776 * [taylor]: Taking taylor expansion of 1/2 in im
2.776 * [backup-simplify]: Simplify 1/2 into 1/2
2.776 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.776 * [taylor]: Taking taylor expansion of im in im
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 1 into 1
2.776 * [backup-simplify]: Simplify (* 1 1) into 1
2.777 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.778 * [backup-simplify]: Simplify 0 into 0
2.778 * [backup-simplify]: Simplify 0 into 0
2.778 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.782 * [backup-simplify]: Simplify (+ 0 0) into 0
2.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.783 * [taylor]: Taking taylor expansion of 0 in im
2.783 * [backup-simplify]: Simplify 0 into 0
2.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.786 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.786 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.786 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.786 * [taylor]: Taking taylor expansion of im in im
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify 1 into 1
2.787 * [backup-simplify]: Simplify (* 1 1) into 1
2.787 * [backup-simplify]: Simplify (/ 1 1) into 1
2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.787 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.787 * [taylor]: Taking taylor expansion of re in im
2.787 * [backup-simplify]: Simplify re into re
2.787 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.788 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.788 * [backup-simplify]: Simplify (+ 1 0) into 1
2.788 * [backup-simplify]: Simplify (sqrt 1) into 1
2.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.790 * [backup-simplify]: Simplify (+ 0 0) into 0
2.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.791 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.791 * [taylor]: Taking taylor expansion of im in re
2.791 * [backup-simplify]: Simplify im into im
2.791 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.791 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.791 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.792 * [taylor]: Taking taylor expansion of re in re
2.792 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify 1 into 1
2.792 * [backup-simplify]: Simplify (* 1 1) into 1
2.792 * [backup-simplify]: Simplify (/ 1 1) into 1
2.793 * [backup-simplify]: Simplify (+ 0 1) into 1
2.793 * [backup-simplify]: Simplify (sqrt 1) into 1
2.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.795 * [backup-simplify]: Simplify (+ 0 0) into 0
2.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.796 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.796 * [taylor]: Taking taylor expansion of im in re
2.796 * [backup-simplify]: Simplify im into im
2.796 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.796 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.796 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.796 * [taylor]: Taking taylor expansion of re in re
2.796 * [backup-simplify]: Simplify 0 into 0
2.796 * [backup-simplify]: Simplify 1 into 1
2.797 * [backup-simplify]: Simplify (* 1 1) into 1
2.797 * [backup-simplify]: Simplify (/ 1 1) into 1
2.798 * [backup-simplify]: Simplify (+ 0 1) into 1
2.798 * [backup-simplify]: Simplify (sqrt 1) into 1
2.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.800 * [backup-simplify]: Simplify (+ 0 0) into 0
2.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.801 * [taylor]: Taking taylor expansion of 1 in im
2.801 * [backup-simplify]: Simplify 1 into 1
2.801 * [taylor]: Taking taylor expansion of 0 in im
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify 1 into 1
2.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.803 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.804 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.804 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.804 * [taylor]: Taking taylor expansion of 1/2 in im
2.804 * [backup-simplify]: Simplify 1/2 into 1/2
2.804 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.804 * [taylor]: Taking taylor expansion of im in im
2.804 * [backup-simplify]: Simplify 0 into 0
2.804 * [backup-simplify]: Simplify 1 into 1
2.805 * [backup-simplify]: Simplify (* 1 1) into 1
2.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.807 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.809 * [backup-simplify]: Simplify (+ 0 0) into 0
2.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.810 * [taylor]: Taking taylor expansion of 0 in im
2.810 * [backup-simplify]: Simplify 0 into 0
2.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.812 * [backup-simplify]: Simplify 0 into 0
2.812 * [backup-simplify]: Simplify 0 into 0
2.812 * [backup-simplify]: Simplify 0 into 0
2.812 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.812 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
2.813 * [backup-simplify]: Simplify (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))))
2.813 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
2.813 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
2.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.813 * [taylor]: Taking taylor expansion of 2.0 in im
2.813 * [backup-simplify]: Simplify 2.0 into 2.0
2.813 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.814 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
2.814 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
2.814 * [taylor]: Taking taylor expansion of re in im
2.814 * [backup-simplify]: Simplify re into re
2.814 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.814 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.814 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.814 * [taylor]: Taking taylor expansion of re in im
2.814 * [backup-simplify]: Simplify re into re
2.814 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.815 * [taylor]: Taking taylor expansion of im in im
2.815 * [backup-simplify]: Simplify 0 into 0
2.815 * [backup-simplify]: Simplify 1 into 1
2.815 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.815 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.815 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.815 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.815 * [backup-simplify]: Simplify (+ 0 0) into 0
2.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.816 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
2.816 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
2.816 * [backup-simplify]: Simplify (+ 0 0) into 0
2.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
2.816 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
2.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.816 * [taylor]: Taking taylor expansion of 2.0 in re
2.816 * [backup-simplify]: Simplify 2.0 into 2.0
2.817 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.818 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
2.818 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
2.818 * [taylor]: Taking taylor expansion of re in re
2.818 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify 1 into 1
2.818 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.818 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.818 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.818 * [taylor]: Taking taylor expansion of re in re
2.818 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify 1 into 1
2.818 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.818 * [taylor]: Taking taylor expansion of im in re
2.818 * [backup-simplify]: Simplify im into im
2.818 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.818 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.818 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.819 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.819 * [backup-simplify]: Simplify (+ 0 0) into 0
2.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.819 * [backup-simplify]: Simplify (+ 0 im) into im
2.819 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.820 * [backup-simplify]: Simplify (+ 1 0) into 1
2.820 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
2.820 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
2.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.820 * [taylor]: Taking taylor expansion of 2.0 in re
2.820 * [backup-simplify]: Simplify 2.0 into 2.0
2.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.821 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
2.821 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
2.821 * [taylor]: Taking taylor expansion of re in re
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 1 into 1
2.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.821 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.821 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.821 * [taylor]: Taking taylor expansion of re in re
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 1 into 1
2.822 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.822 * [taylor]: Taking taylor expansion of im in re
2.822 * [backup-simplify]: Simplify im into im
2.822 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.822 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.822 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.822 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.822 * [backup-simplify]: Simplify (+ 0 0) into 0
2.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.823 * [backup-simplify]: Simplify (+ 0 im) into im
2.823 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.823 * [backup-simplify]: Simplify (+ 1 0) into 1
2.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
2.824 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
2.824 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
2.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.824 * [taylor]: Taking taylor expansion of 2.0 in im
2.824 * [backup-simplify]: Simplify 2.0 into 2.0
2.824 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.825 * [taylor]: Taking taylor expansion of (sqrt im) in im
2.825 * [taylor]: Taking taylor expansion of im in im
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 1 into 1
2.826 * [backup-simplify]: Simplify (sqrt 0) into 0
2.827 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.828 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.828 * [backup-simplify]: Simplify 0 into 0
2.829 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
2.829 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
2.829 * [taylor]: Taking taylor expansion of 1/2 in im
2.829 * [backup-simplify]: Simplify 1/2 into 1/2
2.829 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
2.829 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.829 * [taylor]: Taking taylor expansion of 2.0 in im
2.829 * [backup-simplify]: Simplify 2.0 into 2.0
2.829 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.830 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
2.830 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.830 * [taylor]: Taking taylor expansion of im in im
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify 1 into 1
2.831 * [backup-simplify]: Simplify (/ 1 1) into 1
2.831 * [backup-simplify]: Simplify (sqrt 0) into 0
2.833 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.835 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.835 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.839 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.841 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.843 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.845 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.845 * [backup-simplify]: Simplify (* 1 1) into 1
2.846 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.846 * [backup-simplify]: Simplify (+ 1 0) into 1
2.847 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.847 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.848 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
2.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.850 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
2.850 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
2.850 * [taylor]: Taking taylor expansion of 1/8 in im
2.851 * [backup-simplify]: Simplify 1/8 into 1/8
2.851 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
2.851 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.851 * [taylor]: Taking taylor expansion of 2.0 in im
2.851 * [backup-simplify]: Simplify 2.0 into 2.0
2.851 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.852 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
2.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
2.852 * [taylor]: Taking taylor expansion of (pow im 3) in im
2.852 * [taylor]: Taking taylor expansion of im in im
2.852 * [backup-simplify]: Simplify 0 into 0
2.852 * [backup-simplify]: Simplify 1 into 1
2.852 * [backup-simplify]: Simplify (* 1 1) into 1
2.853 * [backup-simplify]: Simplify (* 1 1) into 1
2.853 * [backup-simplify]: Simplify (/ 1 1) into 1
2.854 * [backup-simplify]: Simplify (sqrt 0) into 0
2.855 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.860 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.864 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.867 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.867 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.872 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.874 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.879 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
2.880 * [backup-simplify]: Simplify (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))
2.880 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0
2.880 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
2.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.880 * [taylor]: Taking taylor expansion of 2.0 in im
2.880 * [backup-simplify]: Simplify 2.0 into 2.0
2.881 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
2.882 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
2.882 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.882 * [taylor]: Taking taylor expansion of re in im
2.882 * [backup-simplify]: Simplify re into re
2.882 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.882 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.882 * [taylor]: Taking taylor expansion of im in im
2.882 * [backup-simplify]: Simplify 0 into 0
2.882 * [backup-simplify]: Simplify 1 into 1
2.882 * [backup-simplify]: Simplify (* 1 1) into 1
2.883 * [backup-simplify]: Simplify (/ 1 1) into 1
2.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.883 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.883 * [taylor]: Taking taylor expansion of re in im
2.883 * [backup-simplify]: Simplify re into re
2.883 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.883 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.884 * [backup-simplify]: Simplify (+ 1 0) into 1
2.884 * [backup-simplify]: Simplify (sqrt 1) into 1
2.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.886 * [backup-simplify]: Simplify (+ 0 0) into 0
2.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.887 * [backup-simplify]: Simplify (+ 0 1) into 1
2.887 * [backup-simplify]: Simplify (sqrt 0) into 0
2.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.889 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
2.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.889 * [taylor]: Taking taylor expansion of 2.0 in re
2.889 * [backup-simplify]: Simplify 2.0 into 2.0
2.889 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
2.890 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.890 * [taylor]: Taking taylor expansion of re in re
2.890 * [backup-simplify]: Simplify 0 into 0
2.890 * [backup-simplify]: Simplify 1 into 1
2.891 * [backup-simplify]: Simplify (/ 1 1) into 1
2.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.891 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.891 * [taylor]: Taking taylor expansion of im in re
2.891 * [backup-simplify]: Simplify im into im
2.891 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.891 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.891 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.891 * [taylor]: Taking taylor expansion of re in re
2.891 * [backup-simplify]: Simplify 0 into 0
2.891 * [backup-simplify]: Simplify 1 into 1
2.891 * [backup-simplify]: Simplify (* 1 1) into 1
2.892 * [backup-simplify]: Simplify (/ 1 1) into 1
2.892 * [backup-simplify]: Simplify (+ 0 1) into 1
2.892 * [backup-simplify]: Simplify (sqrt 1) into 1
2.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.893 * [backup-simplify]: Simplify (+ 0 0) into 0
2.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.894 * [backup-simplify]: Simplify (+ 1 1) into 2
2.894 * [backup-simplify]: Simplify (sqrt 0) into 0
2.895 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.895 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
2.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.895 * [taylor]: Taking taylor expansion of 2.0 in re
2.895 * [backup-simplify]: Simplify 2.0 into 2.0
2.895 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
2.896 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.896 * [taylor]: Taking taylor expansion of re in re
2.896 * [backup-simplify]: Simplify 0 into 0
2.896 * [backup-simplify]: Simplify 1 into 1
2.896 * [backup-simplify]: Simplify (/ 1 1) into 1
2.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.896 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.896 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.896 * [taylor]: Taking taylor expansion of im in re
2.896 * [backup-simplify]: Simplify im into im
2.896 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.896 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.896 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.896 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.896 * [taylor]: Taking taylor expansion of re in re
2.896 * [backup-simplify]: Simplify 0 into 0
2.896 * [backup-simplify]: Simplify 1 into 1
2.896 * [backup-simplify]: Simplify (* 1 1) into 1
2.897 * [backup-simplify]: Simplify (/ 1 1) into 1
2.897 * [backup-simplify]: Simplify (+ 0 1) into 1
2.897 * [backup-simplify]: Simplify (sqrt 1) into 1
2.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.898 * [backup-simplify]: Simplify (+ 0 0) into 0
2.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.899 * [backup-simplify]: Simplify (+ 1 1) into 2
2.899 * [backup-simplify]: Simplify (sqrt 0) into 0
2.900 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.900 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.900 * [taylor]: Taking taylor expansion of 0 in im
2.900 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.902 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.902 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.902 * [taylor]: Taking taylor expansion of +nan.0 in im
2.902 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.902 * [taylor]: Taking taylor expansion of 2.0 in im
2.902 * [backup-simplify]: Simplify 2.0 into 2.0
2.902 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.906 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.907 * [backup-simplify]: Simplify (+ 0 0) into 0
2.909 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.910 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.911 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.911 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.911 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.911 * [taylor]: Taking taylor expansion of +nan.0 in im
2.911 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.911 * [taylor]: Taking taylor expansion of 2.0 in im
2.911 * [backup-simplify]: Simplify 2.0 into 2.0
2.912 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.913 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.913 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.915 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.915 * [backup-simplify]: Simplify 0 into 0
2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.918 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.919 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.919 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.921 * [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))
2.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.924 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
2.924 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
2.925 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
2.925 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.925 * [taylor]: Taking taylor expansion of +nan.0 in im
2.925 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.925 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.925 * [taylor]: Taking taylor expansion of 2.0 in im
2.925 * [backup-simplify]: Simplify 2.0 into 2.0
2.925 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.926 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.926 * [taylor]: Taking taylor expansion of im in im
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 1 into 1
2.926 * [backup-simplify]: Simplify (* 1 1) into 1
2.927 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.927 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.927 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.928 * [taylor]: Taking taylor expansion of +nan.0 in im
2.928 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.928 * [taylor]: Taking taylor expansion of 2.0 in im
2.928 * [backup-simplify]: Simplify 2.0 into 2.0
2.928 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.932 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.932 * [backup-simplify]: Simplify (+ 0 0) into 0
2.932 * [backup-simplify]: Simplify (- 0) into 0
2.932 * [backup-simplify]: Simplify 0 into 0
2.933 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.935 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.936 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.937 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.938 * [backup-simplify]: Simplify (- 0) into 0
2.938 * [backup-simplify]: Simplify 0 into 0
2.938 * [backup-simplify]: Simplify 0 into 0
2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.939 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.940 * [backup-simplify]: Simplify (+ 0 0) into 0
2.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.941 * [backup-simplify]: Simplify (+ 0 0) into 0
2.942 * [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)))
2.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.944 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
2.944 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
2.944 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
2.944 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.944 * [taylor]: Taking taylor expansion of +nan.0 in im
2.944 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.944 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.944 * [taylor]: Taking taylor expansion of 2.0 in im
2.944 * [backup-simplify]: Simplify 2.0 into 2.0
2.944 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.945 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.945 * [taylor]: Taking taylor expansion of im in im
2.945 * [backup-simplify]: Simplify 0 into 0
2.945 * [backup-simplify]: Simplify 1 into 1
2.945 * [backup-simplify]: Simplify (* 1 1) into 1
2.946 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.946 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.946 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.946 * [taylor]: Taking taylor expansion of +nan.0 in im
2.946 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.946 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.946 * [taylor]: Taking taylor expansion of 2.0 in im
2.946 * [backup-simplify]: Simplify 2.0 into 2.0
2.946 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.948 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.948 * [backup-simplify]: Simplify (+ 0 0) into 0
2.949 * [backup-simplify]: Simplify (- 0) into 0
2.949 * [backup-simplify]: Simplify 0 into 0
2.949 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.951 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
2.952 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.953 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.954 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
2.955 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
2.956 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.959 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
2.960 * [backup-simplify]: Simplify (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))
2.960 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0
2.960 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
2.960 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.960 * [taylor]: Taking taylor expansion of 2.0 in im
2.960 * [backup-simplify]: Simplify 2.0 into 2.0
2.960 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.960 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
2.960 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
2.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.961 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.961 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.961 * [taylor]: Taking taylor expansion of im in im
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 1 into 1
2.961 * [backup-simplify]: Simplify (* 1 1) into 1
2.961 * [backup-simplify]: Simplify (/ 1 1) into 1
2.961 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.961 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.961 * [taylor]: Taking taylor expansion of re in im
2.961 * [backup-simplify]: Simplify re into re
2.961 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.961 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.962 * [backup-simplify]: Simplify (+ 1 0) into 1
2.962 * [backup-simplify]: Simplify (sqrt 1) into 1
2.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.963 * [backup-simplify]: Simplify (+ 0 0) into 0
2.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.963 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.963 * [taylor]: Taking taylor expansion of re in im
2.963 * [backup-simplify]: Simplify re into re
2.963 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.964 * [backup-simplify]: Simplify (+ 1 0) into 1
2.964 * [backup-simplify]: Simplify (sqrt 0) into 0
2.965 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.965 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
2.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.965 * [taylor]: Taking taylor expansion of 2.0 in re
2.965 * [backup-simplify]: Simplify 2.0 into 2.0
2.965 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.966 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
2.966 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.966 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.966 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.966 * [taylor]: Taking taylor expansion of im in re
2.966 * [backup-simplify]: Simplify im into im
2.966 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.966 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.966 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.966 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.966 * [taylor]: Taking taylor expansion of re in re
2.966 * [backup-simplify]: Simplify 0 into 0
2.966 * [backup-simplify]: Simplify 1 into 1
2.966 * [backup-simplify]: Simplify (* 1 1) into 1
2.967 * [backup-simplify]: Simplify (/ 1 1) into 1
2.967 * [backup-simplify]: Simplify (+ 0 1) into 1
2.968 * [backup-simplify]: Simplify (sqrt 1) into 1
2.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.969 * [backup-simplify]: Simplify (+ 0 0) into 0
2.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.970 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.970 * [taylor]: Taking taylor expansion of re in re
2.970 * [backup-simplify]: Simplify 0 into 0
2.970 * [backup-simplify]: Simplify 1 into 1
2.971 * [backup-simplify]: Simplify (/ 1 1) into 1
2.971 * [backup-simplify]: Simplify (- 1) into -1
2.972 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.973 * [backup-simplify]: Simplify (- 0) into 0
2.973 * [backup-simplify]: Simplify (+ 0 0) into 0
2.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.975 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.976 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.978 * [backup-simplify]: Simplify (- 0) into 0
2.978 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.978 * [backup-simplify]: Simplify (sqrt 0) into 0
2.979 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
2.979 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
2.979 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.979 * [taylor]: Taking taylor expansion of 2.0 in re
2.979 * [backup-simplify]: Simplify 2.0 into 2.0
2.980 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.981 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
2.981 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.981 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.981 * [taylor]: Taking taylor expansion of im in re
2.981 * [backup-simplify]: Simplify im into im
2.981 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.981 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.981 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.981 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.981 * [taylor]: Taking taylor expansion of re in re
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify 1 into 1
2.982 * [backup-simplify]: Simplify (* 1 1) into 1
2.982 * [backup-simplify]: Simplify (/ 1 1) into 1
2.982 * [backup-simplify]: Simplify (+ 0 1) into 1
2.982 * [backup-simplify]: Simplify (sqrt 1) into 1
2.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.984 * [backup-simplify]: Simplify (+ 0 0) into 0
2.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.984 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.984 * [taylor]: Taking taylor expansion of re in re
2.984 * [backup-simplify]: Simplify 0 into 0
2.984 * [backup-simplify]: Simplify 1 into 1
2.984 * [backup-simplify]: Simplify (/ 1 1) into 1
2.984 * [backup-simplify]: Simplify (- 1) into -1
2.985 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.985 * [backup-simplify]: Simplify (- 0) into 0
2.986 * [backup-simplify]: Simplify (+ 0 0) into 0
2.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.987 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.988 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.988 * [backup-simplify]: Simplify (- 0) into 0
2.988 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.989 * [backup-simplify]: Simplify (sqrt 0) into 0
2.989 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
2.990 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.990 * [taylor]: Taking taylor expansion of 0 in im
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
2.990 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
2.990 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.990 * [taylor]: Taking taylor expansion of +nan.0 in im
2.990 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.990 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.990 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.991 * [taylor]: Taking taylor expansion of 2.0 in im
2.991 * [backup-simplify]: Simplify 2.0 into 2.0
2.991 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.991 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.991 * [taylor]: Taking taylor expansion of im in im
2.991 * [backup-simplify]: Simplify 0 into 0
2.991 * [backup-simplify]: Simplify 1 into 1
2.992 * [backup-simplify]: Simplify (* 1 1) into 1
2.992 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.994 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.994 * [backup-simplify]: Simplify (- 0) into 0
2.994 * [backup-simplify]: Simplify 0 into 0
2.994 * [backup-simplify]: Simplify 0 into 0
2.994 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.996 * [backup-simplify]: Simplify (+ 0 0) into 0
2.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.997 * [backup-simplify]: Simplify (- 0) into 0
2.997 * [backup-simplify]: Simplify (+ 0 0) into 0
2.998 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
2.998 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.999 * [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))))
2.999 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
2.999 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
2.999 * [taylor]: Taking taylor expansion of +nan.0 in im
2.999 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.999 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
2.999 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.999 * [taylor]: Taking taylor expansion of 2.0 in im
2.999 * [backup-simplify]: Simplify 2.0 into 2.0
3.000 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.000 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.000 * [taylor]: Taking taylor expansion of im in im
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify 1 into 1
3.000 * [backup-simplify]: Simplify (* 1 1) into 1
3.001 * [backup-simplify]: Simplify (* 1 1) into 1
3.001 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.002 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.008 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.008 * [backup-simplify]: Simplify (- 0) into 0
3.008 * [backup-simplify]: Simplify 0 into 0
3.009 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.017 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.018 * [backup-simplify]: Simplify (- 0) into 0
3.018 * [backup-simplify]: Simplify 0 into 0
3.018 * [backup-simplify]: Simplify 0 into 0
3.018 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.021 * [backup-simplify]: Simplify (+ 0 0) into 0
3.023 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.024 * [backup-simplify]: Simplify (- 0) into 0
3.024 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.025 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
3.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.028 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
3.028 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
3.028 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
3.028 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.028 * [taylor]: Taking taylor expansion of +nan.0 in im
3.028 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.028 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.028 * [taylor]: Taking taylor expansion of 2.0 in im
3.028 * [backup-simplify]: Simplify 2.0 into 2.0
3.029 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.030 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.030 * [taylor]: Taking taylor expansion of im in im
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [backup-simplify]: Simplify 1 into 1
3.030 * [backup-simplify]: Simplify (* 1 1) into 1
3.030 * [backup-simplify]: Simplify (* 1 1) into 1
3.031 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.031 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
3.031 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
3.031 * [taylor]: Taking taylor expansion of +nan.0 in im
3.032 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.032 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
3.032 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.032 * [taylor]: Taking taylor expansion of 2.0 in im
3.032 * [backup-simplify]: Simplify 2.0 into 2.0
3.032 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.033 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.033 * [taylor]: Taking taylor expansion of im in im
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 1 into 1
3.033 * [backup-simplify]: Simplify (* 1 1) into 1
3.034 * [backup-simplify]: Simplify (* 1 1) into 1
3.034 * [backup-simplify]: Simplify (* 1 1) into 1
3.035 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.036 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.048 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.049 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.052 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.068 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.068 * [backup-simplify]: Simplify (- 0) into 0
3.069 * [backup-simplify]: Simplify (+ 0 0) into 0
3.069 * [backup-simplify]: Simplify (- 0) into 0
3.069 * [backup-simplify]: Simplify 0 into 0
3.069 * [backup-simplify]: Simplify 0 into 0
3.069 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2)
3.069 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
3.069 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
3.069 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
3.069 * [taylor]: Taking taylor expansion of re in im
3.069 * [backup-simplify]: Simplify re into re
3.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.069 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.069 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.069 * [taylor]: Taking taylor expansion of re in im
3.069 * [backup-simplify]: Simplify re into re
3.069 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.069 * [taylor]: Taking taylor expansion of im in im
3.069 * [backup-simplify]: Simplify 0 into 0
3.069 * [backup-simplify]: Simplify 1 into 1
3.070 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.070 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.070 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.070 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.070 * [backup-simplify]: Simplify (+ 0 0) into 0
3.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.070 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.070 * [taylor]: Taking taylor expansion of re in re
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 1 into 1
3.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.070 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.070 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.070 * [taylor]: Taking taylor expansion of re in re
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 1 into 1
3.070 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.070 * [taylor]: Taking taylor expansion of im in re
3.070 * [backup-simplify]: Simplify im into im
3.070 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.071 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.071 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.071 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.071 * [backup-simplify]: Simplify (+ 0 0) into 0
3.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.071 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.071 * [taylor]: Taking taylor expansion of re in re
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 1 into 1
3.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.071 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.071 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.071 * [taylor]: Taking taylor expansion of re in re
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 1 into 1
3.071 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.071 * [taylor]: Taking taylor expansion of im in re
3.071 * [backup-simplify]: Simplify im into im
3.071 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.072 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.072 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.072 * [backup-simplify]: Simplify (+ 0 0) into 0
3.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.072 * [backup-simplify]: Simplify (+ 0 im) into im
3.072 * [taylor]: Taking taylor expansion of im in im
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 1 into 1
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify (+ 1 0) into 1
3.072 * [taylor]: Taking taylor expansion of 1 in im
3.072 * [backup-simplify]: Simplify 1 into 1
3.073 * [backup-simplify]: Simplify 1 into 1
3.073 * [backup-simplify]: Simplify 1 into 1
3.073 * [backup-simplify]: Simplify (* 1 1) into 1
3.073 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.073 * [backup-simplify]: Simplify (+ 1 0) into 1
3.074 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.074 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.074 * [taylor]: Taking taylor expansion of 1/2 in im
3.074 * [backup-simplify]: Simplify 1/2 into 1/2
3.074 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.074 * [taylor]: Taking taylor expansion of im in im
3.074 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify 1 into 1
3.074 * [backup-simplify]: Simplify (/ 1 1) into 1
3.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.075 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify 0 into 0
3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.076 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.076 * [backup-simplify]: Simplify (+ 0 0) into 0
3.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.077 * [backup-simplify]: Simplify (+ 0 0) into 0
3.077 * [taylor]: Taking taylor expansion of 0 in im
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.078 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
3.078 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.078 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.078 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.078 * [taylor]: Taking taylor expansion of re in im
3.078 * [backup-simplify]: Simplify re into re
3.078 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.078 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.078 * [taylor]: Taking taylor expansion of im in im
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (* 1 1) into 1
3.079 * [backup-simplify]: Simplify (/ 1 1) into 1
3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.079 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.079 * [taylor]: Taking taylor expansion of re in im
3.079 * [backup-simplify]: Simplify re into re
3.079 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.079 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.079 * [backup-simplify]: Simplify (+ 1 0) into 1
3.080 * [backup-simplify]: Simplify (sqrt 1) into 1
3.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.081 * [backup-simplify]: Simplify (+ 0 0) into 0
3.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.081 * [taylor]: Taking taylor expansion of re in re
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify 1 into 1
3.081 * [backup-simplify]: Simplify (/ 1 1) into 1
3.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.082 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.082 * [taylor]: Taking taylor expansion of im in re
3.082 * [backup-simplify]: Simplify im into im
3.082 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.082 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.082 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.082 * [taylor]: Taking taylor expansion of re in re
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify 1 into 1
3.082 * [backup-simplify]: Simplify (* 1 1) into 1
3.082 * [backup-simplify]: Simplify (/ 1 1) into 1
3.083 * [backup-simplify]: Simplify (+ 0 1) into 1
3.083 * [backup-simplify]: Simplify (sqrt 1) into 1
3.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.084 * [backup-simplify]: Simplify (+ 0 0) into 0
3.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.084 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.084 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.084 * [taylor]: Taking taylor expansion of re in re
3.084 * [backup-simplify]: Simplify 0 into 0
3.084 * [backup-simplify]: Simplify 1 into 1
3.085 * [backup-simplify]: Simplify (/ 1 1) into 1
3.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.085 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.085 * [taylor]: Taking taylor expansion of im in re
3.085 * [backup-simplify]: Simplify im into im
3.085 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.085 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.085 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.085 * [taylor]: Taking taylor expansion of re in re
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify 1 into 1
3.085 * [backup-simplify]: Simplify (* 1 1) into 1
3.085 * [backup-simplify]: Simplify (/ 1 1) into 1
3.086 * [backup-simplify]: Simplify (+ 0 1) into 1
3.086 * [backup-simplify]: Simplify (sqrt 1) into 1
3.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.088 * [backup-simplify]: Simplify (+ 0 0) into 0
3.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.089 * [backup-simplify]: Simplify (+ 1 1) into 2
3.089 * [taylor]: Taking taylor expansion of 2 in im
3.089 * [backup-simplify]: Simplify 2 into 2
3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.090 * [backup-simplify]: Simplify (+ 0 0) into 0
3.090 * [taylor]: Taking taylor expansion of 0 in im
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 2 into 2
3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.093 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.094 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.095 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.095 * [taylor]: Taking taylor expansion of 1/2 in im
3.095 * [backup-simplify]: Simplify 1/2 into 1/2
3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.095 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.095 * [taylor]: Taking taylor expansion of im in im
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 1 into 1
3.095 * [backup-simplify]: Simplify (* 1 1) into 1
3.096 * [backup-simplify]: Simplify (/ 1 1) into 1
3.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify 0 into 0
3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.101 * [backup-simplify]: Simplify (+ 0 0) into 0
3.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.102 * [backup-simplify]: Simplify (+ 0 0) into 0
3.103 * [taylor]: Taking taylor expansion of 0 in im
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.105 * [backup-simplify]: Simplify 0 into 0
3.105 * [backup-simplify]: Simplify 0 into 0
3.105 * [backup-simplify]: Simplify 0 into 0
3.105 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.106 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
3.106 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.106 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.106 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.106 * [taylor]: Taking taylor expansion of im in im
3.106 * [backup-simplify]: Simplify 0 into 0
3.106 * [backup-simplify]: Simplify 1 into 1
3.107 * [backup-simplify]: Simplify (* 1 1) into 1
3.107 * [backup-simplify]: Simplify (/ 1 1) into 1
3.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.107 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.107 * [taylor]: Taking taylor expansion of re in im
3.107 * [backup-simplify]: Simplify re into re
3.107 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.107 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.108 * [backup-simplify]: Simplify (+ 1 0) into 1
3.108 * [backup-simplify]: Simplify (sqrt 1) into 1
3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.110 * [backup-simplify]: Simplify (+ 0 0) into 0
3.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.111 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.111 * [taylor]: Taking taylor expansion of re in im
3.111 * [backup-simplify]: Simplify re into re
3.111 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.111 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.111 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.111 * [taylor]: Taking taylor expansion of im in re
3.111 * [backup-simplify]: Simplify im into im
3.111 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.111 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.111 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.111 * [taylor]: Taking taylor expansion of re in re
3.111 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify 1 into 1
3.112 * [backup-simplify]: Simplify (* 1 1) into 1
3.112 * [backup-simplify]: Simplify (/ 1 1) into 1
3.112 * [backup-simplify]: Simplify (+ 0 1) into 1
3.113 * [backup-simplify]: Simplify (sqrt 1) into 1
3.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.115 * [backup-simplify]: Simplify (+ 0 0) into 0
3.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.115 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.115 * [taylor]: Taking taylor expansion of re in re
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify 1 into 1
3.116 * [backup-simplify]: Simplify (/ 1 1) into 1
3.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.116 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.116 * [taylor]: Taking taylor expansion of im in re
3.116 * [backup-simplify]: Simplify im into im
3.116 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.116 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.116 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.116 * [taylor]: Taking taylor expansion of re in re
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 1 into 1
3.117 * [backup-simplify]: Simplify (* 1 1) into 1
3.117 * [backup-simplify]: Simplify (/ 1 1) into 1
3.117 * [backup-simplify]: Simplify (+ 0 1) into 1
3.118 * [backup-simplify]: Simplify (sqrt 1) into 1
3.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.119 * [backup-simplify]: Simplify (+ 0 0) into 0
3.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.120 * [taylor]: Taking taylor expansion of re in re
3.120 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify 1 into 1
3.121 * [backup-simplify]: Simplify (/ 1 1) into 1
3.121 * [backup-simplify]: Simplify (- 1) into -1
3.121 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.121 * [taylor]: Taking taylor expansion of 0 in im
3.121 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.122 * [backup-simplify]: Simplify (- 0) into 0
3.123 * [backup-simplify]: Simplify (+ 0 0) into 0
3.123 * [taylor]: Taking taylor expansion of 0 in im
3.123 * [backup-simplify]: Simplify 0 into 0
3.123 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.125 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.126 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.127 * [backup-simplify]: Simplify (- 0) into 0
3.127 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.128 * [taylor]: Taking taylor expansion of 1/2 in im
3.128 * [backup-simplify]: Simplify 1/2 into 1/2
3.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.128 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.128 * [taylor]: Taking taylor expansion of im in im
3.128 * [backup-simplify]: Simplify 0 into 0
3.128 * [backup-simplify]: Simplify 1 into 1
3.128 * [backup-simplify]: Simplify (* 1 1) into 1
3.128 * [backup-simplify]: Simplify (/ 1 1) into 1
3.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.134 * [backup-simplify]: Simplify (+ 0 0) into 0
3.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.136 * [backup-simplify]: Simplify (- 0) into 0
3.136 * [backup-simplify]: Simplify (+ 0 0) into 0
3.136 * [taylor]: Taking taylor expansion of 0 in im
3.136 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.138 * [backup-simplify]: Simplify 0 into 0
3.139 * [backup-simplify]: Simplify 0 into 0
3.139 * [backup-simplify]: Simplify 0 into 0
3.139 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
3.139 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))))
3.139 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
3.139 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
3.139 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.139 * [taylor]: Taking taylor expansion of 2.0 in im
3.139 * [backup-simplify]: Simplify 2.0 into 2.0
3.140 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.140 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
3.140 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
3.140 * [taylor]: Taking taylor expansion of re in im
3.140 * [backup-simplify]: Simplify re into re
3.140 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.140 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.140 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.140 * [taylor]: Taking taylor expansion of re in im
3.140 * [backup-simplify]: Simplify re into re
3.140 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.140 * [taylor]: Taking taylor expansion of im in im
3.141 * [backup-simplify]: Simplify 0 into 0
3.141 * [backup-simplify]: Simplify 1 into 1
3.141 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.141 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.141 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.141 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.141 * [backup-simplify]: Simplify (+ 0 0) into 0
3.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.142 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.142 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
3.148 * [backup-simplify]: Simplify (+ 0 0) into 0
3.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
3.148 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
3.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.149 * [taylor]: Taking taylor expansion of 2.0 in re
3.149 * [backup-simplify]: Simplify 2.0 into 2.0
3.149 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.150 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
3.150 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
3.150 * [taylor]: Taking taylor expansion of re in re
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify 1 into 1
3.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.150 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.150 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.150 * [taylor]: Taking taylor expansion of re in re
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify 1 into 1
3.151 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.151 * [taylor]: Taking taylor expansion of im in re
3.151 * [backup-simplify]: Simplify im into im
3.151 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.151 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.151 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.152 * [backup-simplify]: Simplify (+ 0 0) into 0
3.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.152 * [backup-simplify]: Simplify (+ 0 im) into im
3.152 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.153 * [backup-simplify]: Simplify (+ 1 0) into 1
3.153 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.153 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
3.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.153 * [taylor]: Taking taylor expansion of 2.0 in re
3.153 * [backup-simplify]: Simplify 2.0 into 2.0
3.153 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.154 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
3.154 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.154 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.155 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.155 * [taylor]: Taking taylor expansion of re in re
3.155 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify 1 into 1
3.155 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.155 * [taylor]: Taking taylor expansion of im in re
3.155 * [backup-simplify]: Simplify im into im
3.155 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.155 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.155 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.155 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.156 * [backup-simplify]: Simplify (+ 0 0) into 0
3.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.156 * [backup-simplify]: Simplify (+ 0 im) into im
3.156 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.156 * [backup-simplify]: Simplify (+ 1 0) into 1
3.156 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.157 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
3.157 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
3.157 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.157 * [taylor]: Taking taylor expansion of 2.0 in im
3.157 * [backup-simplify]: Simplify 2.0 into 2.0
3.158 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.158 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.158 * [taylor]: Taking taylor expansion of im in im
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 1 into 1
3.159 * [backup-simplify]: Simplify (sqrt 0) into 0
3.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.161 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.161 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
3.162 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
3.162 * [taylor]: Taking taylor expansion of 1/2 in im
3.162 * [backup-simplify]: Simplify 1/2 into 1/2
3.162 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
3.162 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.162 * [taylor]: Taking taylor expansion of 2.0 in im
3.162 * [backup-simplify]: Simplify 2.0 into 2.0
3.162 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
3.163 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.163 * [taylor]: Taking taylor expansion of im in im
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify 1 into 1
3.164 * [backup-simplify]: Simplify (/ 1 1) into 1
3.164 * [backup-simplify]: Simplify (sqrt 0) into 0
3.165 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.167 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.168 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.172 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.174 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.175 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.176 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.176 * [backup-simplify]: Simplify (* 1 1) into 1
3.177 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.177 * [backup-simplify]: Simplify (+ 1 0) into 1
3.177 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.177 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.178 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
3.179 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.179 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
3.179 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
3.179 * [taylor]: Taking taylor expansion of 1/8 in im
3.179 * [backup-simplify]: Simplify 1/8 into 1/8
3.179 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
3.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.179 * [taylor]: Taking taylor expansion of 2.0 in im
3.179 * [backup-simplify]: Simplify 2.0 into 2.0
3.180 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.180 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
3.180 * [taylor]: Taking taylor expansion of (pow im 3) in im
3.180 * [taylor]: Taking taylor expansion of im in im
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 1 into 1
3.180 * [backup-simplify]: Simplify (* 1 1) into 1
3.181 * [backup-simplify]: Simplify (* 1 1) into 1
3.181 * [backup-simplify]: Simplify (/ 1 1) into 1
3.181 * [backup-simplify]: Simplify (sqrt 0) into 0
3.182 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.185 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.185 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.187 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.188 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.188 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.191 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.192 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.195 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
3.196 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))
3.196 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0
3.196 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
3.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.196 * [taylor]: Taking taylor expansion of 2.0 in im
3.196 * [backup-simplify]: Simplify 2.0 into 2.0
3.196 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
3.197 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.197 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.197 * [taylor]: Taking taylor expansion of re in im
3.197 * [backup-simplify]: Simplify re into re
3.197 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.197 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.197 * [taylor]: Taking taylor expansion of im in im
3.197 * [backup-simplify]: Simplify 0 into 0
3.197 * [backup-simplify]: Simplify 1 into 1
3.197 * [backup-simplify]: Simplify (* 1 1) into 1
3.197 * [backup-simplify]: Simplify (/ 1 1) into 1
3.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.197 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.197 * [taylor]: Taking taylor expansion of re in im
3.197 * [backup-simplify]: Simplify re into re
3.197 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.198 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.198 * [backup-simplify]: Simplify (+ 1 0) into 1
3.198 * [backup-simplify]: Simplify (sqrt 1) into 1
3.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.199 * [backup-simplify]: Simplify (+ 0 0) into 0
3.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.200 * [backup-simplify]: Simplify (+ 0 1) into 1
3.200 * [backup-simplify]: Simplify (sqrt 0) into 0
3.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
3.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.201 * [taylor]: Taking taylor expansion of 2.0 in re
3.201 * [backup-simplify]: Simplify 2.0 into 2.0
3.201 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
3.202 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.202 * [taylor]: Taking taylor expansion of re in re
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.202 * [backup-simplify]: Simplify (/ 1 1) into 1
3.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.202 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.202 * [taylor]: Taking taylor expansion of im in re
3.202 * [backup-simplify]: Simplify im into im
3.202 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.202 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.202 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.202 * [taylor]: Taking taylor expansion of re in re
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.203 * [backup-simplify]: Simplify (* 1 1) into 1
3.203 * [backup-simplify]: Simplify (/ 1 1) into 1
3.203 * [backup-simplify]: Simplify (+ 0 1) into 1
3.203 * [backup-simplify]: Simplify (sqrt 1) into 1
3.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.204 * [backup-simplify]: Simplify (+ 0 0) into 0
3.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.205 * [backup-simplify]: Simplify (+ 1 1) into 2
3.205 * [backup-simplify]: Simplify (sqrt 0) into 0
3.206 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
3.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.206 * [taylor]: Taking taylor expansion of 2.0 in re
3.206 * [backup-simplify]: Simplify 2.0 into 2.0
3.207 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
3.207 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.207 * [taylor]: Taking taylor expansion of re in re
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify (/ 1 1) into 1
3.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.208 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.208 * [taylor]: Taking taylor expansion of im in re
3.208 * [backup-simplify]: Simplify im into im
3.208 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.208 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.208 * [taylor]: Taking taylor expansion of (pow re 2) 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
3.209 * [backup-simplify]: Simplify (* 1 1) into 1
3.209 * [backup-simplify]: Simplify (/ 1 1) into 1
3.210 * [backup-simplify]: Simplify (+ 0 1) into 1
3.210 * [backup-simplify]: Simplify (sqrt 1) into 1
3.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.212 * [backup-simplify]: Simplify (+ 0 0) into 0
3.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.213 * [backup-simplify]: Simplify (+ 1 1) into 2
3.214 * [backup-simplify]: Simplify (sqrt 0) into 0
3.215 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.215 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.216 * [taylor]: Taking taylor expansion of 0 in im
3.216 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.218 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.218 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.218 * [taylor]: Taking taylor expansion of +nan.0 in im
3.218 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.218 * [taylor]: Taking taylor expansion of 2.0 in im
3.218 * [backup-simplify]: Simplify 2.0 into 2.0
3.218 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.219 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.220 * [backup-simplify]: Simplify (+ 0 0) into 0
3.223 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.224 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.227 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.227 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.227 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.227 * [taylor]: Taking taylor expansion of +nan.0 in im
3.227 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.227 * [taylor]: Taking taylor expansion of 2.0 in im
3.227 * [backup-simplify]: Simplify 2.0 into 2.0
3.228 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.229 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.231 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.232 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.233 * [backup-simplify]: Simplify 0 into 0
3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.236 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.237 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.237 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.239 * [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))
3.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.240 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
3.240 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
3.240 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
3.241 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.241 * [taylor]: Taking taylor expansion of +nan.0 in im
3.241 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.241 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.241 * [taylor]: Taking taylor expansion of 2.0 in im
3.241 * [backup-simplify]: Simplify 2.0 into 2.0
3.241 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.241 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.241 * [taylor]: Taking taylor expansion of im in im
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify 1 into 1
3.242 * [backup-simplify]: Simplify (* 1 1) into 1
3.242 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.242 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.242 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.242 * [taylor]: Taking taylor expansion of +nan.0 in im
3.242 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.242 * [taylor]: Taking taylor expansion of 2.0 in im
3.242 * [backup-simplify]: Simplify 2.0 into 2.0
3.243 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.245 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.245 * [backup-simplify]: Simplify (+ 0 0) into 0
3.245 * [backup-simplify]: Simplify (- 0) into 0
3.245 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.247 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.247 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.248 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.248 * [backup-simplify]: Simplify (- 0) into 0
3.248 * [backup-simplify]: Simplify 0 into 0
3.248 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.249 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.251 * [backup-simplify]: Simplify (+ 0 0) into 0
3.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.251 * [backup-simplify]: Simplify (+ 0 0) into 0
3.252 * [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)))
3.253 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.254 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
3.254 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
3.254 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
3.254 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.254 * [taylor]: Taking taylor expansion of +nan.0 in im
3.254 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.254 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.254 * [taylor]: Taking taylor expansion of 2.0 in im
3.254 * [backup-simplify]: Simplify 2.0 into 2.0
3.255 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.255 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.255 * [taylor]: Taking taylor expansion of im in im
3.255 * [backup-simplify]: Simplify 0 into 0
3.255 * [backup-simplify]: Simplify 1 into 1
3.255 * [backup-simplify]: Simplify (* 1 1) into 1
3.256 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.256 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.256 * [taylor]: Taking taylor expansion of +nan.0 in im
3.256 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.256 * [taylor]: Taking taylor expansion of 2.0 in im
3.256 * [backup-simplify]: Simplify 2.0 into 2.0
3.256 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.258 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.259 * [backup-simplify]: Simplify (+ 0 0) into 0
3.259 * [backup-simplify]: Simplify (- 0) into 0
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.266 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.267 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.268 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.269 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.271 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.272 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.277 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
3.278 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))
3.278 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0
3.278 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
3.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.278 * [taylor]: Taking taylor expansion of 2.0 in im
3.278 * [backup-simplify]: Simplify 2.0 into 2.0
3.279 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.280 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
3.280 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.280 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.280 * [taylor]: Taking taylor expansion of im in im
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 1 into 1
3.280 * [backup-simplify]: Simplify (* 1 1) into 1
3.281 * [backup-simplify]: Simplify (/ 1 1) into 1
3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.281 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.281 * [taylor]: Taking taylor expansion of re in im
3.281 * [backup-simplify]: Simplify re into re
3.281 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.281 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.281 * [backup-simplify]: Simplify (+ 1 0) into 1
3.282 * [backup-simplify]: Simplify (sqrt 1) into 1
3.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.284 * [backup-simplify]: Simplify (+ 0 0) into 0
3.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.284 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.284 * [taylor]: Taking taylor expansion of re in im
3.284 * [backup-simplify]: Simplify re into re
3.284 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.285 * [backup-simplify]: Simplify (+ 1 0) into 1
3.285 * [backup-simplify]: Simplify (sqrt 0) into 0
3.287 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.287 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
3.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.287 * [taylor]: Taking taylor expansion of 2.0 in re
3.287 * [backup-simplify]: Simplify 2.0 into 2.0
3.287 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.288 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
3.288 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.288 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.288 * [taylor]: Taking taylor expansion of im in re
3.288 * [backup-simplify]: Simplify im into im
3.288 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.289 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.289 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.289 * [taylor]: Taking taylor expansion of re in re
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 1 into 1
3.289 * [backup-simplify]: Simplify (* 1 1) into 1
3.289 * [backup-simplify]: Simplify (/ 1 1) into 1
3.290 * [backup-simplify]: Simplify (+ 0 1) into 1
3.290 * [backup-simplify]: Simplify (sqrt 1) into 1
3.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.292 * [backup-simplify]: Simplify (+ 0 0) into 0
3.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.293 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.293 * [taylor]: Taking taylor expansion of re in re
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify 1 into 1
3.293 * [backup-simplify]: Simplify (/ 1 1) into 1
3.294 * [backup-simplify]: Simplify (- 1) into -1
3.294 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.295 * [backup-simplify]: Simplify (- 0) into 0
3.296 * [backup-simplify]: Simplify (+ 0 0) into 0
3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.298 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.299 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.301 * [backup-simplify]: Simplify (- 0) into 0
3.301 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.301 * [backup-simplify]: Simplify (sqrt 0) into 0
3.302 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.302 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
3.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.302 * [taylor]: Taking taylor expansion of 2.0 in re
3.302 * [backup-simplify]: Simplify 2.0 into 2.0
3.303 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.303 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
3.303 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.303 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.304 * [taylor]: Taking taylor expansion of im in re
3.304 * [backup-simplify]: Simplify im into im
3.304 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.304 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
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
3.304 * [backup-simplify]: Simplify 1 into 1
3.304 * [backup-simplify]: Simplify (* 1 1) into 1
3.305 * [backup-simplify]: Simplify (/ 1 1) into 1
3.305 * [backup-simplify]: Simplify (+ 0 1) into 1
3.306 * [backup-simplify]: Simplify (sqrt 1) into 1
3.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.307 * [backup-simplify]: Simplify (+ 0 0) into 0
3.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.308 * [taylor]: Taking taylor expansion of re in re
3.308 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify 1 into 1
3.309 * [backup-simplify]: Simplify (/ 1 1) into 1
3.309 * [backup-simplify]: Simplify (- 1) into -1
3.309 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.310 * [backup-simplify]: Simplify (- 0) into 0
3.311 * [backup-simplify]: Simplify (+ 0 0) into 0
3.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.313 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.314 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.316 * [backup-simplify]: Simplify (- 0) into 0
3.316 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.316 * [backup-simplify]: Simplify (sqrt 0) into 0
3.317 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.318 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.318 * [taylor]: Taking taylor expansion of 0 in im
3.318 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
3.319 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.319 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.319 * [taylor]: Taking taylor expansion of +nan.0 in im
3.319 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.319 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.319 * [taylor]: Taking taylor expansion of 2.0 in im
3.319 * [backup-simplify]: Simplify 2.0 into 2.0
3.319 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.320 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.320 * [taylor]: Taking taylor expansion of im in im
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 1 into 1
3.321 * [backup-simplify]: Simplify (* 1 1) into 1
3.322 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.325 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.325 * [backup-simplify]: Simplify (- 0) into 0
3.325 * [backup-simplify]: Simplify 0 into 0
3.325 * [backup-simplify]: Simplify 0 into 0
3.325 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.328 * [backup-simplify]: Simplify (+ 0 0) into 0
3.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.330 * [backup-simplify]: Simplify (- 0) into 0
3.331 * [backup-simplify]: Simplify (+ 0 0) into 0
3.332 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.333 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.334 * [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))))
3.335 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
3.335 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.335 * [taylor]: Taking taylor expansion of +nan.0 in im
3.335 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.335 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.335 * [taylor]: Taking taylor expansion of 2.0 in im
3.335 * [backup-simplify]: Simplify 2.0 into 2.0
3.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.336 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.336 * [taylor]: Taking taylor expansion of im in im
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 1 into 1
3.336 * [backup-simplify]: Simplify (* 1 1) into 1
3.337 * [backup-simplify]: Simplify (* 1 1) into 1
3.338 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.350 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.351 * [backup-simplify]: Simplify (- 0) into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.353 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.353 * [backup-simplify]: Simplify (- 0) into 0
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.356 * [backup-simplify]: Simplify (+ 0 0) into 0
3.357 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.357 * [backup-simplify]: Simplify (- 0) into 0
3.357 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.358 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
3.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.360 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
3.360 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
3.360 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
3.360 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.360 * [taylor]: Taking taylor expansion of +nan.0 in im
3.360 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.360 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.360 * [taylor]: Taking taylor expansion of 2.0 in im
3.360 * [backup-simplify]: Simplify 2.0 into 2.0
3.361 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.361 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.361 * [taylor]: Taking taylor expansion of im in im
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify 1 into 1
3.361 * [backup-simplify]: Simplify (* 1 1) into 1
3.362 * [backup-simplify]: Simplify (* 1 1) into 1
3.362 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.362 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
3.362 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
3.362 * [taylor]: Taking taylor expansion of +nan.0 in im
3.362 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.362 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
3.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.362 * [taylor]: Taking taylor expansion of 2.0 in im
3.362 * [backup-simplify]: Simplify 2.0 into 2.0
3.363 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.363 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.363 * [taylor]: Taking taylor expansion of im in im
3.363 * [backup-simplify]: Simplify 0 into 0
3.363 * [backup-simplify]: Simplify 1 into 1
3.363 * [backup-simplify]: Simplify (* 1 1) into 1
3.364 * [backup-simplify]: Simplify (* 1 1) into 1
3.364 * [backup-simplify]: Simplify (* 1 1) into 1
3.364 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.365 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.371 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.372 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.392 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.393 * [backup-simplify]: Simplify (- 0) into 0
3.393 * [backup-simplify]: Simplify (+ 0 0) into 0
3.393 * [backup-simplify]: Simplify (- 0) into 0
3.393 * [backup-simplify]: Simplify 0 into 0
3.393 * [backup-simplify]: Simplify 0 into 0
3.393 * * * [progress]: simplifying candidates
3.395 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))
  (exp (sqrt (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))
  (exp (log (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (exp (log (sqrt 2.0)))
  (exp (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (log (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (exp (log (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (exp (log 1))
  (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (exp (log (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))))
  (exp (log (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))
  (exp (log (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))))
  (exp (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (exp (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (* (cbrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))
  (cbrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (* (* (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
3.395 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (/ 1 2))
 (exp 1)
 (exp (/ 1 2))
 (exp (/ 1 2))
 (exp (* (cbrt (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))))
 (exp (sqrt (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))
 (exp 1)
 (exp (log (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))))
 (exp (log (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))
 (exp (log (sqrt 2.0)))
 (exp (log (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (exp (log (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))
 (exp (log (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))
 (exp (log 1))
 (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))
 (exp (log (sqrt (* 2.0 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))))))
 (exp (log (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))
 (exp (log (sqrt (* 2.0 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))))))
 (exp (log (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (log (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))
 (exp (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))
 (* (cbrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (cbrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))))
 (cbrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))
 (* (* (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))
 (sqrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))
 (sqrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))
 (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1))
 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))
 (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))
 (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))
 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))
 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)
 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)
 (log (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (exp (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))
 (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (* (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt 2.0)
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (* 2.0 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))))
 (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt (* 2.0 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))))
 (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (/ 1 2)
 (/ 1 2)
 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 h0
 h1
 (* -1 h1)
 (- (+ (* h2 (* (sqrt 2.0) (pow h1 2))) (- (+ (* h2 (* (sqrt 2.0) h0)) (- (* h2 (* (sqrt 2.0) h1)))))))
 (- (+ (* h2 (sqrt 2.0)) (- (+ (* h2 (/ (sqrt 2.0) (pow h1 2))) (- (* h2 (/ (sqrt 2.0) h1)))))))
 0
 (+ h1 h0)
 (* 2 h1)
 0
 (- (+ (* h2 (* (sqrt 2.0) (pow h1 2))) (- (+ (* h2 (* (sqrt 2.0) h0)) (- (* h2 (* (sqrt 2.0) h1)))))))
 (- (+ (* h2 (sqrt 2.0)) (- (+ (* h2 (/ (sqrt 2.0) (pow h1 2))) (- (* h2 (/ (sqrt 2.0) h1)))))))
 0
3.447 * * * [progress]: adding candidates to table
3.753 * * [progress]: iteration 4 / 4
3.753 * * * [progress]: picking best candidate
3.778 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
3.778 * * * [progress]: localizing error
3.811 * * * [progress]: generating rewritten candidates
3.811 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1 2 1)
3.826 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
3.842 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
3.905 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
3.997 * * * [progress]: generating series expansions
3.997 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1 2 1)
3.997 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.997 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.997 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.997 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.997 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.997 * [taylor]: Taking taylor expansion of re in im
3.997 * [backup-simplify]: Simplify re into re
3.997 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.997 * [taylor]: Taking taylor expansion of im in im
3.997 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 1 into 1
3.998 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.998 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.998 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.998 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.999 * [backup-simplify]: Simplify (+ 0 0) into 0
3.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.999 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.999 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.999 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.999 * [taylor]: Taking taylor expansion of re in re
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 1 into 1
3.999 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.999 * [taylor]: Taking taylor expansion of im in re
3.999 * [backup-simplify]: Simplify im into im
3.999 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.999 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.000 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.000 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.000 * [backup-simplify]: Simplify (+ 0 0) into 0
4.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.000 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.000 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.000 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.001 * [taylor]: Taking taylor expansion of re in re
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify 1 into 1
4.001 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.001 * [taylor]: Taking taylor expansion of im in re
4.001 * [backup-simplify]: Simplify im into im
4.001 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.001 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.001 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.001 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.002 * [backup-simplify]: Simplify (+ 0 0) into 0
4.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.002 * [taylor]: Taking taylor expansion of im in im
4.002 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify 1 into 1
4.002 * [backup-simplify]: Simplify 0 into 0
4.002 * [taylor]: Taking taylor expansion of 0 in im
4.002 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify 1 into 1
4.003 * [backup-simplify]: Simplify (* 1 1) into 1
4.003 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.004 * [backup-simplify]: Simplify (+ 1 0) into 1
4.005 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.005 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.005 * [taylor]: Taking taylor expansion of 1/2 in im
4.005 * [backup-simplify]: Simplify 1/2 into 1/2
4.005 * [taylor]: Taking taylor expansion of im in im
4.005 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify 1 into 1
4.005 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.008 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.008 * [backup-simplify]: Simplify (+ 0 0) into 0
4.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.008 * [taylor]: Taking taylor expansion of 0 in im
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.009 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.010 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.010 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.010 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.010 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.010 * [taylor]: Taking taylor expansion of im in im
4.010 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify 1 into 1
4.011 * [backup-simplify]: Simplify (* 1 1) into 1
4.011 * [backup-simplify]: Simplify (/ 1 1) into 1
4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.011 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.011 * [taylor]: Taking taylor expansion of re in im
4.011 * [backup-simplify]: Simplify re into re
4.011 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.011 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.012 * [backup-simplify]: Simplify (+ 1 0) into 1
4.012 * [backup-simplify]: Simplify (sqrt 1) into 1
4.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.014 * [backup-simplify]: Simplify (+ 0 0) into 0
4.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.015 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.015 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.015 * [taylor]: Taking taylor expansion of im in re
4.015 * [backup-simplify]: Simplify im into im
4.015 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.015 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.015 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.015 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.016 * [taylor]: Taking taylor expansion of re in re
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 1 into 1
4.016 * [backup-simplify]: Simplify (* 1 1) into 1
4.016 * [backup-simplify]: Simplify (/ 1 1) into 1
4.017 * [backup-simplify]: Simplify (+ 0 1) into 1
4.017 * [backup-simplify]: Simplify (sqrt 1) into 1
4.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.019 * [backup-simplify]: Simplify (+ 0 0) into 0
4.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.020 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.020 * [taylor]: Taking taylor expansion of im in re
4.020 * [backup-simplify]: Simplify im into im
4.020 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.020 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.020 * [taylor]: Taking taylor expansion of re in re
4.021 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify 1 into 1
4.021 * [backup-simplify]: Simplify (* 1 1) into 1
4.021 * [backup-simplify]: Simplify (/ 1 1) into 1
4.022 * [backup-simplify]: Simplify (+ 0 1) into 1
4.022 * [backup-simplify]: Simplify (sqrt 1) into 1
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.024 * [backup-simplify]: Simplify (+ 0 0) into 0
4.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.025 * [taylor]: Taking taylor expansion of 1 in im
4.025 * [backup-simplify]: Simplify 1 into 1
4.025 * [taylor]: Taking taylor expansion of 0 in im
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify 1 into 1
4.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.027 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.029 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.029 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.029 * [taylor]: Taking taylor expansion of 1/2 in im
4.029 * [backup-simplify]: Simplify 1/2 into 1/2
4.029 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.029 * [taylor]: Taking taylor expansion of im in im
4.029 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify 1 into 1
4.029 * [backup-simplify]: Simplify (* 1 1) into 1
4.030 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.034 * [backup-simplify]: Simplify (+ 0 0) into 0
4.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.035 * [taylor]: Taking taylor expansion of 0 in im
4.035 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.037 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify 0 into 0
4.038 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.038 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.039 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.039 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.039 * [taylor]: Taking taylor expansion of im in im
4.039 * [backup-simplify]: Simplify 0 into 0
4.039 * [backup-simplify]: Simplify 1 into 1
4.039 * [backup-simplify]: Simplify (* 1 1) into 1
4.040 * [backup-simplify]: Simplify (/ 1 1) into 1
4.040 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.040 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.040 * [taylor]: Taking taylor expansion of re in im
4.040 * [backup-simplify]: Simplify re into re
4.040 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.040 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.041 * [backup-simplify]: Simplify (+ 1 0) into 1
4.041 * [backup-simplify]: Simplify (sqrt 1) into 1
4.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.043 * [backup-simplify]: Simplify (+ 0 0) into 0
4.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.044 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.044 * [taylor]: Taking taylor expansion of im in re
4.044 * [backup-simplify]: Simplify im into im
4.045 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.045 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.045 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.045 * [taylor]: Taking taylor expansion of re in re
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 1 into 1
4.045 * [backup-simplify]: Simplify (* 1 1) into 1
4.046 * [backup-simplify]: Simplify (/ 1 1) into 1
4.046 * [backup-simplify]: Simplify (+ 0 1) into 1
4.047 * [backup-simplify]: Simplify (sqrt 1) into 1
4.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.049 * [backup-simplify]: Simplify (+ 0 0) into 0
4.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.050 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.050 * [taylor]: Taking taylor expansion of im in re
4.050 * [backup-simplify]: Simplify im into im
4.050 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.050 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.050 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.050 * [taylor]: Taking taylor expansion of re in re
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 1 into 1
4.051 * [backup-simplify]: Simplify (* 1 1) into 1
4.051 * [backup-simplify]: Simplify (/ 1 1) into 1
4.051 * [backup-simplify]: Simplify (+ 0 1) into 1
4.051 * [backup-simplify]: Simplify (sqrt 1) into 1
4.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.053 * [backup-simplify]: Simplify (+ 0 0) into 0
4.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.053 * [taylor]: Taking taylor expansion of 1 in im
4.053 * [backup-simplify]: Simplify 1 into 1
4.053 * [taylor]: Taking taylor expansion of 0 in im
4.053 * [backup-simplify]: Simplify 0 into 0
4.053 * [backup-simplify]: Simplify 1 into 1
4.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.055 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.055 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.055 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.055 * [taylor]: Taking taylor expansion of 1/2 in im
4.055 * [backup-simplify]: Simplify 1/2 into 1/2
4.055 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.055 * [taylor]: Taking taylor expansion of im in im
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify 1 into 1
4.056 * [backup-simplify]: Simplify (* 1 1) into 1
4.056 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.059 * [backup-simplify]: Simplify (+ 0 0) into 0
4.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.059 * [taylor]: Taking taylor expansion of 0 in im
4.059 * [backup-simplify]: Simplify 0 into 0
4.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.060 * [backup-simplify]: Simplify 0 into 0
4.060 * [backup-simplify]: Simplify 0 into 0
4.060 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.061 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
4.061 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.061 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.061 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.061 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.061 * [taylor]: Taking taylor expansion of re in im
4.061 * [backup-simplify]: Simplify re into re
4.061 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.061 * [taylor]: Taking taylor expansion of im in im
4.061 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify 1 into 1
4.061 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.061 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.061 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.061 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.062 * [backup-simplify]: Simplify (+ 0 0) into 0
4.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.062 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.062 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.062 * [taylor]: Taking taylor expansion of re in re
4.062 * [backup-simplify]: Simplify 0 into 0
4.062 * [backup-simplify]: Simplify 1 into 1
4.062 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.062 * [taylor]: Taking taylor expansion of im in re
4.062 * [backup-simplify]: Simplify im into im
4.062 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.062 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.062 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.062 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.063 * [backup-simplify]: Simplify (+ 0 0) into 0
4.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.063 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.063 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.063 * [taylor]: Taking taylor expansion of re in re
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify 1 into 1
4.063 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.063 * [taylor]: Taking taylor expansion of im in re
4.063 * [backup-simplify]: Simplify im into im
4.063 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.063 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.063 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.063 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.063 * [backup-simplify]: Simplify (+ 0 0) into 0
4.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.064 * [taylor]: Taking taylor expansion of im in im
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify 1 into 1
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [taylor]: Taking taylor expansion of 0 in im
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify 1 into 1
4.064 * [backup-simplify]: Simplify (* 1 1) into 1
4.065 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.065 * [backup-simplify]: Simplify (+ 1 0) into 1
4.066 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.066 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.066 * [taylor]: Taking taylor expansion of 1/2 in im
4.066 * [backup-simplify]: Simplify 1/2 into 1/2
4.066 * [taylor]: Taking taylor expansion of im in im
4.066 * [backup-simplify]: Simplify 0 into 0
4.066 * [backup-simplify]: Simplify 1 into 1
4.067 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.068 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.068 * [backup-simplify]: Simplify (+ 0 0) into 0
4.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.069 * [taylor]: Taking taylor expansion of 0 in im
4.069 * [backup-simplify]: Simplify 0 into 0
4.069 * [backup-simplify]: Simplify 0 into 0
4.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.069 * [backup-simplify]: Simplify 0 into 0
4.069 * [backup-simplify]: Simplify 0 into 0
4.070 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.070 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.070 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.070 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.070 * [taylor]: Taking taylor expansion of im in im
4.070 * [backup-simplify]: Simplify 0 into 0
4.070 * [backup-simplify]: Simplify 1 into 1
4.070 * [backup-simplify]: Simplify (* 1 1) into 1
4.070 * [backup-simplify]: Simplify (/ 1 1) into 1
4.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.071 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.071 * [taylor]: Taking taylor expansion of re in im
4.071 * [backup-simplify]: Simplify re into re
4.071 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.071 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.071 * [backup-simplify]: Simplify (+ 1 0) into 1
4.071 * [backup-simplify]: Simplify (sqrt 1) into 1
4.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.072 * [backup-simplify]: Simplify (+ 0 0) into 0
4.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.073 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.073 * [taylor]: Taking taylor expansion of im in re
4.073 * [backup-simplify]: Simplify im into im
4.073 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.073 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.073 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.073 * [taylor]: Taking taylor expansion of re in re
4.073 * [backup-simplify]: Simplify 0 into 0
4.073 * [backup-simplify]: Simplify 1 into 1
4.073 * [backup-simplify]: Simplify (* 1 1) into 1
4.074 * [backup-simplify]: Simplify (/ 1 1) into 1
4.074 * [backup-simplify]: Simplify (+ 0 1) into 1
4.074 * [backup-simplify]: Simplify (sqrt 1) into 1
4.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.075 * [backup-simplify]: Simplify (+ 0 0) into 0
4.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.076 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.076 * [taylor]: Taking taylor expansion of im in re
4.076 * [backup-simplify]: Simplify im into im
4.076 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.076 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.076 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.076 * [taylor]: Taking taylor expansion of re in re
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 1 into 1
4.076 * [backup-simplify]: Simplify (* 1 1) into 1
4.077 * [backup-simplify]: Simplify (/ 1 1) into 1
4.077 * [backup-simplify]: Simplify (+ 0 1) into 1
4.077 * [backup-simplify]: Simplify (sqrt 1) into 1
4.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.078 * [backup-simplify]: Simplify (+ 0 0) into 0
4.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.079 * [taylor]: Taking taylor expansion of 1 in im
4.079 * [backup-simplify]: Simplify 1 into 1
4.079 * [taylor]: Taking taylor expansion of 0 in im
4.079 * [backup-simplify]: Simplify 0 into 0
4.079 * [backup-simplify]: Simplify 1 into 1
4.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.081 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.082 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.082 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.082 * [taylor]: Taking taylor expansion of 1/2 in im
4.082 * [backup-simplify]: Simplify 1/2 into 1/2
4.082 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.083 * [taylor]: Taking taylor expansion of im in im
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify 1 into 1
4.083 * [backup-simplify]: Simplify (* 1 1) into 1
4.083 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.085 * [backup-simplify]: Simplify 0 into 0
4.085 * [backup-simplify]: Simplify 0 into 0
4.085 * [backup-simplify]: Simplify 0 into 0
4.085 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.092 * [backup-simplify]: Simplify (+ 0 0) into 0
4.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.093 * [taylor]: Taking taylor expansion of 0 in im
4.093 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.096 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.096 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.096 * [taylor]: Taking taylor expansion of im in im
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 1 into 1
4.096 * [backup-simplify]: Simplify (* 1 1) into 1
4.097 * [backup-simplify]: Simplify (/ 1 1) into 1
4.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.097 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.097 * [taylor]: Taking taylor expansion of re in im
4.097 * [backup-simplify]: Simplify re into re
4.097 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.097 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.097 * [backup-simplify]: Simplify (+ 1 0) into 1
4.098 * [backup-simplify]: Simplify (sqrt 1) into 1
4.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.100 * [backup-simplify]: Simplify (+ 0 0) into 0
4.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.100 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.101 * [taylor]: Taking taylor expansion of im in re
4.101 * [backup-simplify]: Simplify im into im
4.101 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.101 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.101 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.101 * [taylor]: Taking taylor expansion of re in re
4.101 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify 1 into 1
4.101 * [backup-simplify]: Simplify (* 1 1) into 1
4.102 * [backup-simplify]: Simplify (/ 1 1) into 1
4.102 * [backup-simplify]: Simplify (+ 0 1) into 1
4.103 * [backup-simplify]: Simplify (sqrt 1) into 1
4.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.104 * [backup-simplify]: Simplify (+ 0 0) into 0
4.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.105 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.105 * [taylor]: Taking taylor expansion of im in re
4.105 * [backup-simplify]: Simplify im into im
4.105 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.106 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.106 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.106 * [taylor]: Taking taylor expansion of re in re
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 1 into 1
4.106 * [backup-simplify]: Simplify (* 1 1) into 1
4.107 * [backup-simplify]: Simplify (/ 1 1) into 1
4.107 * [backup-simplify]: Simplify (+ 0 1) into 1
4.107 * [backup-simplify]: Simplify (sqrt 1) into 1
4.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.109 * [backup-simplify]: Simplify (+ 0 0) into 0
4.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.110 * [taylor]: Taking taylor expansion of 1 in im
4.110 * [backup-simplify]: Simplify 1 into 1
4.110 * [taylor]: Taking taylor expansion of 0 in im
4.110 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify 1 into 1
4.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.112 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.114 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.114 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.114 * [taylor]: Taking taylor expansion of 1/2 in im
4.114 * [backup-simplify]: Simplify 1/2 into 1/2
4.114 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.114 * [taylor]: Taking taylor expansion of im in im
4.114 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify 1 into 1
4.114 * [backup-simplify]: Simplify (* 1 1) into 1
4.114 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.115 * [backup-simplify]: Simplify 0 into 0
4.115 * [backup-simplify]: Simplify 0 into 0
4.115 * [backup-simplify]: Simplify 0 into 0
4.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.117 * [backup-simplify]: Simplify (+ 0 0) into 0
4.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.117 * [taylor]: Taking taylor expansion of 0 in im
4.117 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.119 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
4.119 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
4.119 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
4.119 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
4.119 * [taylor]: Taking taylor expansion of re in im
4.119 * [backup-simplify]: Simplify re into re
4.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.119 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.119 * [taylor]: Taking taylor expansion of re in im
4.119 * [backup-simplify]: Simplify re into re
4.119 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.119 * [taylor]: Taking taylor expansion of im in im
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify 1 into 1
4.119 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.120 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.120 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.120 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.120 * [backup-simplify]: Simplify (+ 0 0) into 0
4.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.120 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
4.120 * [taylor]: Taking taylor expansion of re in re
4.120 * [backup-simplify]: Simplify 0 into 0
4.120 * [backup-simplify]: Simplify 1 into 1
4.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.120 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.120 * [taylor]: Taking taylor expansion of re in re
4.120 * [backup-simplify]: Simplify 0 into 0
4.120 * [backup-simplify]: Simplify 1 into 1
4.120 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.120 * [taylor]: Taking taylor expansion of im in re
4.120 * [backup-simplify]: Simplify im into im
4.120 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.121 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.121 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.121 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.121 * [backup-simplify]: Simplify (+ 0 0) into 0
4.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.121 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
4.121 * [taylor]: Taking taylor expansion of re in re
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify 1 into 1
4.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.121 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.121 * [taylor]: Taking taylor expansion of re in re
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify 1 into 1
4.121 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.121 * [taylor]: Taking taylor expansion of im in re
4.121 * [backup-simplify]: Simplify im into im
4.121 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.121 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.121 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.122 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.122 * [backup-simplify]: Simplify (+ 0 0) into 0
4.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.122 * [backup-simplify]: Simplify (+ 0 im) into im
4.122 * [taylor]: Taking taylor expansion of im in im
4.122 * [backup-simplify]: Simplify 0 into 0
4.122 * [backup-simplify]: Simplify 1 into 1
4.122 * [backup-simplify]: Simplify 0 into 0
4.122 * [backup-simplify]: Simplify (+ 1 0) into 1
4.122 * [taylor]: Taking taylor expansion of 1 in im
4.122 * [backup-simplify]: Simplify 1 into 1
4.122 * [backup-simplify]: Simplify 1 into 1
4.122 * [backup-simplify]: Simplify 1 into 1
4.123 * [backup-simplify]: Simplify (* 1 1) into 1
4.123 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.123 * [backup-simplify]: Simplify (+ 1 0) into 1
4.124 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.124 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
4.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.124 * [taylor]: Taking taylor expansion of 1/2 in im
4.124 * [backup-simplify]: Simplify 1/2 into 1/2
4.124 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.124 * [taylor]: Taking taylor expansion of im in im
4.124 * [backup-simplify]: Simplify 0 into 0
4.124 * [backup-simplify]: Simplify 1 into 1
4.124 * [backup-simplify]: Simplify (/ 1 1) into 1
4.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.126 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.126 * [backup-simplify]: Simplify (+ 0 0) into 0
4.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.127 * [backup-simplify]: Simplify (+ 0 0) into 0
4.127 * [taylor]: Taking taylor expansion of 0 in im
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
4.128 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
4.128 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
4.128 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.128 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.128 * [taylor]: Taking taylor expansion of re in im
4.128 * [backup-simplify]: Simplify re into re
4.128 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.129 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.129 * [taylor]: Taking taylor expansion of im in im
4.129 * [backup-simplify]: Simplify 0 into 0
4.129 * [backup-simplify]: Simplify 1 into 1
4.129 * [backup-simplify]: Simplify (* 1 1) into 1
4.129 * [backup-simplify]: Simplify (/ 1 1) into 1
4.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.129 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.129 * [taylor]: Taking taylor expansion of re in im
4.129 * [backup-simplify]: Simplify re into re
4.129 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.129 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.130 * [backup-simplify]: Simplify (+ 1 0) into 1
4.130 * [backup-simplify]: Simplify (sqrt 1) into 1
4.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.131 * [backup-simplify]: Simplify (+ 0 0) into 0
4.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.131 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.131 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.131 * [taylor]: Taking taylor expansion of re in re
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 1 into 1
4.132 * [backup-simplify]: Simplify (/ 1 1) into 1
4.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.132 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.132 * [taylor]: Taking taylor expansion of im in re
4.132 * [backup-simplify]: Simplify im into im
4.132 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.132 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.132 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.132 * [taylor]: Taking taylor expansion of re in re
4.132 * [backup-simplify]: Simplify 0 into 0
4.132 * [backup-simplify]: Simplify 1 into 1
4.132 * [backup-simplify]: Simplify (* 1 1) into 1
4.133 * [backup-simplify]: Simplify (/ 1 1) into 1
4.133 * [backup-simplify]: Simplify (+ 0 1) into 1
4.133 * [backup-simplify]: Simplify (sqrt 1) into 1
4.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.134 * [backup-simplify]: Simplify (+ 0 0) into 0
4.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.135 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.135 * [taylor]: Taking taylor expansion of re in re
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify 1 into 1
4.135 * [backup-simplify]: Simplify (/ 1 1) into 1
4.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.135 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.135 * [taylor]: Taking taylor expansion of im in re
4.135 * [backup-simplify]: Simplify im into im
4.135 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.135 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.135 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.135 * [taylor]: Taking taylor expansion of re in re
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify 1 into 1
4.135 * [backup-simplify]: Simplify (* 1 1) into 1
4.136 * [backup-simplify]: Simplify (/ 1 1) into 1
4.136 * [backup-simplify]: Simplify (+ 0 1) into 1
4.136 * [backup-simplify]: Simplify (sqrt 1) into 1
4.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.137 * [backup-simplify]: Simplify (+ 0 0) into 0
4.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.138 * [backup-simplify]: Simplify (+ 1 1) into 2
4.138 * [taylor]: Taking taylor expansion of 2 in im
4.138 * [backup-simplify]: Simplify 2 into 2
4.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.139 * [backup-simplify]: Simplify (+ 0 0) into 0
4.139 * [taylor]: Taking taylor expansion of 0 in im
4.139 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify 2 into 2
4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.140 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.141 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.141 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.142 * [taylor]: Taking taylor expansion of 1/2 in im
4.142 * [backup-simplify]: Simplify 1/2 into 1/2
4.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.142 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.142 * [taylor]: Taking taylor expansion of im in im
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify 1 into 1
4.142 * [backup-simplify]: Simplify (* 1 1) into 1
4.142 * [backup-simplify]: Simplify (/ 1 1) into 1
4.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.144 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.146 * [backup-simplify]: Simplify (+ 0 0) into 0
4.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.146 * [backup-simplify]: Simplify (+ 0 0) into 0
4.146 * [taylor]: Taking taylor expansion of 0 in im
4.146 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
4.150 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
4.150 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
4.151 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.151 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.151 * [taylor]: Taking taylor expansion of im in im
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 1 into 1
4.151 * [backup-simplify]: Simplify (* 1 1) into 1
4.151 * [backup-simplify]: Simplify (/ 1 1) into 1
4.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.151 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.152 * [taylor]: Taking taylor expansion of re in im
4.152 * [backup-simplify]: Simplify re into re
4.152 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.152 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.152 * [backup-simplify]: Simplify (+ 1 0) into 1
4.153 * [backup-simplify]: Simplify (sqrt 1) into 1
4.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.154 * [backup-simplify]: Simplify (+ 0 0) into 0
4.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.155 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.155 * [taylor]: Taking taylor expansion of re in im
4.155 * [backup-simplify]: Simplify re into re
4.155 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.155 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.155 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.155 * [taylor]: Taking taylor expansion of im in re
4.155 * [backup-simplify]: Simplify im into im
4.155 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.155 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.156 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.156 * [taylor]: Taking taylor expansion of re in re
4.156 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify 1 into 1
4.156 * [backup-simplify]: Simplify (* 1 1) into 1
4.156 * [backup-simplify]: Simplify (/ 1 1) into 1
4.157 * [backup-simplify]: Simplify (+ 0 1) into 1
4.157 * [backup-simplify]: Simplify (sqrt 1) into 1
4.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.159 * [backup-simplify]: Simplify (+ 0 0) into 0
4.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.159 * [taylor]: Taking taylor expansion of re in re
4.159 * [backup-simplify]: Simplify 0 into 0
4.160 * [backup-simplify]: Simplify 1 into 1
4.160 * [backup-simplify]: Simplify (/ 1 1) into 1
4.160 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.160 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.160 * [taylor]: Taking taylor expansion of im in re
4.160 * [backup-simplify]: Simplify im into im
4.160 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.160 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.160 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.161 * [taylor]: Taking taylor expansion of re in re
4.161 * [backup-simplify]: Simplify 0 into 0
4.161 * [backup-simplify]: Simplify 1 into 1
4.161 * [backup-simplify]: Simplify (* 1 1) into 1
4.161 * [backup-simplify]: Simplify (/ 1 1) into 1
4.162 * [backup-simplify]: Simplify (+ 0 1) into 1
4.162 * [backup-simplify]: Simplify (sqrt 1) into 1
4.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.164 * [backup-simplify]: Simplify (+ 0 0) into 0
4.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.165 * [taylor]: Taking taylor expansion of re in re
4.165 * [backup-simplify]: Simplify 0 into 0
4.165 * [backup-simplify]: Simplify 1 into 1
4.165 * [backup-simplify]: Simplify (/ 1 1) into 1
4.165 * [backup-simplify]: Simplify (- 1) into -1
4.166 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.166 * [taylor]: Taking taylor expansion of 0 in im
4.166 * [backup-simplify]: Simplify 0 into 0
4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.167 * [backup-simplify]: Simplify (- 0) into 0
4.167 * [backup-simplify]: Simplify (+ 0 0) into 0
4.167 * [taylor]: Taking taylor expansion of 0 in im
4.167 * [backup-simplify]: Simplify 0 into 0
4.167 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.169 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.170 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.172 * [backup-simplify]: Simplify (- 0) into 0
4.172 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.172 * [taylor]: Taking taylor expansion of 1/2 in im
4.172 * [backup-simplify]: Simplify 1/2 into 1/2
4.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.172 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.172 * [taylor]: Taking taylor expansion of im in im
4.172 * [backup-simplify]: Simplify 0 into 0
4.172 * [backup-simplify]: Simplify 1 into 1
4.172 * [backup-simplify]: Simplify (* 1 1) into 1
4.173 * [backup-simplify]: Simplify (/ 1 1) into 1
4.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.178 * [backup-simplify]: Simplify (+ 0 0) into 0
4.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.179 * [backup-simplify]: Simplify (- 0) into 0
4.180 * [backup-simplify]: Simplify (+ 0 0) into 0
4.180 * [taylor]: Taking taylor expansion of 0 in im
4.180 * [backup-simplify]: Simplify 0 into 0
4.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
4.184 * [backup-simplify]: Simplify (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
4.184 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
4.184 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
4.184 * [taylor]: Taking taylor expansion of re in im
4.184 * [backup-simplify]: Simplify re into re
4.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.184 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.184 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.184 * [taylor]: Taking taylor expansion of re in im
4.184 * [backup-simplify]: Simplify re into re
4.184 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.184 * [taylor]: Taking taylor expansion of im in im
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [backup-simplify]: Simplify 1 into 1
4.184 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.184 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.184 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.185 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.185 * [backup-simplify]: Simplify (+ 0 0) into 0
4.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.185 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
4.185 * [taylor]: Taking taylor expansion of re in re
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.185 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.185 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.186 * [taylor]: Taking taylor expansion of re in re
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 1 into 1
4.186 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.186 * [taylor]: Taking taylor expansion of im in re
4.186 * [backup-simplify]: Simplify im into im
4.186 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.186 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.186 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.186 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.187 * [backup-simplify]: Simplify (+ 0 0) into 0
4.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.187 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
4.187 * [taylor]: Taking taylor expansion of re in re
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 1 into 1
4.187 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.187 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.187 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.187 * [taylor]: Taking taylor expansion of re in re
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 1 into 1
4.187 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.187 * [taylor]: Taking taylor expansion of im in re
4.187 * [backup-simplify]: Simplify im into im
4.187 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.187 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.187 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.188 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.188 * [backup-simplify]: Simplify (+ 0 0) into 0
4.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.188 * [backup-simplify]: Simplify (+ 0 im) into im
4.188 * [taylor]: Taking taylor expansion of im in im
4.188 * [backup-simplify]: Simplify 0 into 0
4.188 * [backup-simplify]: Simplify 1 into 1
4.188 * [backup-simplify]: Simplify 0 into 0
4.189 * [backup-simplify]: Simplify (+ 1 0) into 1
4.189 * [taylor]: Taking taylor expansion of 1 in im
4.189 * [backup-simplify]: Simplify 1 into 1
4.189 * [backup-simplify]: Simplify 1 into 1
4.189 * [backup-simplify]: Simplify 1 into 1
4.189 * [backup-simplify]: Simplify (* 1 1) into 1
4.190 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.190 * [backup-simplify]: Simplify (+ 1 0) into 1
4.191 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.191 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
4.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.191 * [taylor]: Taking taylor expansion of 1/2 in im
4.191 * [backup-simplify]: Simplify 1/2 into 1/2
4.191 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.191 * [taylor]: Taking taylor expansion of im in im
4.191 * [backup-simplify]: Simplify 0 into 0
4.191 * [backup-simplify]: Simplify 1 into 1
4.191 * [backup-simplify]: Simplify (/ 1 1) into 1
4.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.193 * [backup-simplify]: Simplify 0 into 0
4.193 * [backup-simplify]: Simplify 0 into 0
4.193 * [backup-simplify]: Simplify 0 into 0
4.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.194 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.194 * [backup-simplify]: Simplify (+ 0 0) into 0
4.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.195 * [backup-simplify]: Simplify (+ 0 0) into 0
4.195 * [taylor]: Taking taylor expansion of 0 in im
4.195 * [backup-simplify]: Simplify 0 into 0
4.195 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
4.198 * [backup-simplify]: Simplify (exp (log (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
4.198 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
4.198 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.198 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.198 * [taylor]: Taking taylor expansion of re in im
4.198 * [backup-simplify]: Simplify re into re
4.198 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.198 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.198 * [taylor]: Taking taylor expansion of im in im
4.198 * [backup-simplify]: Simplify 0 into 0
4.199 * [backup-simplify]: Simplify 1 into 1
4.199 * [backup-simplify]: Simplify (* 1 1) into 1
4.200 * [backup-simplify]: Simplify (/ 1 1) into 1
4.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.200 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.200 * [taylor]: Taking taylor expansion of re in im
4.200 * [backup-simplify]: Simplify re into re
4.200 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.200 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.201 * [backup-simplify]: Simplify (+ 1 0) into 1
4.201 * [backup-simplify]: Simplify (sqrt 1) into 1
4.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.203 * [backup-simplify]: Simplify (+ 0 0) into 0
4.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.204 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.204 * [taylor]: Taking taylor expansion of re in re
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 1 into 1
4.204 * [backup-simplify]: Simplify (/ 1 1) into 1
4.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.204 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.204 * [taylor]: Taking taylor expansion of im in re
4.204 * [backup-simplify]: Simplify im into im
4.204 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.205 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.205 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.205 * [taylor]: Taking taylor expansion of re in re
4.205 * [backup-simplify]: Simplify 0 into 0
4.205 * [backup-simplify]: Simplify 1 into 1
4.205 * [backup-simplify]: Simplify (* 1 1) into 1
4.205 * [backup-simplify]: Simplify (/ 1 1) into 1
4.206 * [backup-simplify]: Simplify (+ 0 1) into 1
4.206 * [backup-simplify]: Simplify (sqrt 1) into 1
4.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.208 * [backup-simplify]: Simplify (+ 0 0) into 0
4.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.209 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.209 * [taylor]: Taking taylor expansion of re in re
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify 1 into 1
4.209 * [backup-simplify]: Simplify (/ 1 1) into 1
4.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.210 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.210 * [taylor]: Taking taylor expansion of im in re
4.210 * [backup-simplify]: Simplify im into im
4.210 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.210 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.210 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.210 * [taylor]: Taking taylor expansion of re in re
4.210 * [backup-simplify]: Simplify 0 into 0
4.210 * [backup-simplify]: Simplify 1 into 1
4.211 * [backup-simplify]: Simplify (* 1 1) into 1
4.211 * [backup-simplify]: Simplify (/ 1 1) into 1
4.211 * [backup-simplify]: Simplify (+ 0 1) into 1
4.212 * [backup-simplify]: Simplify (sqrt 1) into 1
4.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.213 * [backup-simplify]: Simplify (+ 0 0) into 0
4.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.215 * [backup-simplify]: Simplify (+ 1 1) into 2
4.215 * [taylor]: Taking taylor expansion of 2 in im
4.215 * [backup-simplify]: Simplify 2 into 2
4.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.215 * [backup-simplify]: Simplify (+ 0 0) into 0
4.215 * [taylor]: Taking taylor expansion of 0 in im
4.215 * [backup-simplify]: Simplify 0 into 0
4.215 * [backup-simplify]: Simplify 2 into 2
4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.217 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.221 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.222 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.222 * [taylor]: Taking taylor expansion of 1/2 in im
4.222 * [backup-simplify]: Simplify 1/2 into 1/2
4.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.222 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.222 * [taylor]: Taking taylor expansion of im in im
4.222 * [backup-simplify]: Simplify 0 into 0
4.222 * [backup-simplify]: Simplify 1 into 1
4.222 * [backup-simplify]: Simplify (* 1 1) into 1
4.222 * [backup-simplify]: Simplify (/ 1 1) into 1
4.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.224 * [backup-simplify]: Simplify 0 into 0
4.224 * [backup-simplify]: Simplify 0 into 0
4.224 * [backup-simplify]: Simplify 0 into 0
4.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.224 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.226 * [backup-simplify]: Simplify (+ 0 0) into 0
4.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.227 * [backup-simplify]: Simplify (+ 0 0) into 0
4.227 * [taylor]: Taking taylor expansion of 0 in im
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.228 * [backup-simplify]: Simplify 0 into 0
4.228 * [backup-simplify]: Simplify 0 into 0
4.228 * [backup-simplify]: Simplify 0 into 0
4.228 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
4.229 * [backup-simplify]: Simplify (exp (log (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
4.229 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
4.229 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.229 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.229 * [taylor]: Taking taylor expansion of im in im
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify 1 into 1
4.230 * [backup-simplify]: Simplify (* 1 1) into 1
4.230 * [backup-simplify]: Simplify (/ 1 1) into 1
4.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.230 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.230 * [taylor]: Taking taylor expansion of re in im
4.230 * [backup-simplify]: Simplify re into re
4.230 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.230 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.230 * [backup-simplify]: Simplify (+ 1 0) into 1
4.231 * [backup-simplify]: Simplify (sqrt 1) into 1
4.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.232 * [backup-simplify]: Simplify (+ 0 0) into 0
4.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.232 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.232 * [taylor]: Taking taylor expansion of re in im
4.232 * [backup-simplify]: Simplify re into re
4.232 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.232 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.232 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.232 * [taylor]: Taking taylor expansion of im in re
4.232 * [backup-simplify]: Simplify im into im
4.232 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.232 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.232 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.232 * [taylor]: Taking taylor expansion of re in re
4.232 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify 1 into 1
4.233 * [backup-simplify]: Simplify (* 1 1) into 1
4.233 * [backup-simplify]: Simplify (/ 1 1) into 1
4.233 * [backup-simplify]: Simplify (+ 0 1) into 1
4.233 * [backup-simplify]: Simplify (sqrt 1) into 1
4.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.234 * [backup-simplify]: Simplify (+ 0 0) into 0
4.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.235 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.235 * [taylor]: Taking taylor expansion of re in re
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify 1 into 1
4.235 * [backup-simplify]: Simplify (/ 1 1) into 1
4.235 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.235 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.235 * [taylor]: Taking taylor expansion of im in re
4.235 * [backup-simplify]: Simplify im into im
4.235 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.236 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.236 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.236 * [taylor]: Taking taylor expansion of re in re
4.236 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify 1 into 1
4.236 * [backup-simplify]: Simplify (* 1 1) into 1
4.236 * [backup-simplify]: Simplify (/ 1 1) into 1
4.236 * [backup-simplify]: Simplify (+ 0 1) into 1
4.237 * [backup-simplify]: Simplify (sqrt 1) into 1
4.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.238 * [backup-simplify]: Simplify (+ 0 0) into 0
4.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.238 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.238 * [taylor]: Taking taylor expansion of re in re
4.238 * [backup-simplify]: Simplify 0 into 0
4.238 * [backup-simplify]: Simplify 1 into 1
4.238 * [backup-simplify]: Simplify (/ 1 1) into 1
4.239 * [backup-simplify]: Simplify (- 1) into -1
4.239 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.239 * [taylor]: Taking taylor expansion of 0 in im
4.239 * [backup-simplify]: Simplify 0 into 0
4.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.240 * [backup-simplify]: Simplify (- 0) into 0
4.240 * [backup-simplify]: Simplify (+ 0 0) into 0
4.240 * [taylor]: Taking taylor expansion of 0 in im
4.240 * [backup-simplify]: Simplify 0 into 0
4.240 * [backup-simplify]: Simplify 0 into 0
4.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.241 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.242 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.243 * [backup-simplify]: Simplify (- 0) into 0
4.243 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.243 * [taylor]: Taking taylor expansion of 1/2 in im
4.243 * [backup-simplify]: Simplify 1/2 into 1/2
4.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.243 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.243 * [taylor]: Taking taylor expansion of im in im
4.243 * [backup-simplify]: Simplify 0 into 0
4.243 * [backup-simplify]: Simplify 1 into 1
4.243 * [backup-simplify]: Simplify (* 1 1) into 1
4.243 * [backup-simplify]: Simplify (/ 1 1) into 1
4.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.246 * [backup-simplify]: Simplify (+ 0 0) into 0
4.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.247 * [backup-simplify]: Simplify (- 0) into 0
4.248 * [backup-simplify]: Simplify (+ 0 0) into 0
4.248 * [taylor]: Taking taylor expansion of 0 in im
4.248 * [backup-simplify]: Simplify 0 into 0
4.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * * * [progress]: simplifying candidates
4.251 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (exp 1)
  (exp (* (cbrt (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (sqrt (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp 1)
  (exp (log (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (log (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log 1))
  (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (exp (log (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))))
  (exp (log (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (log (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))))
  (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (log (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (* (cbrt (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (cbrt (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (* (* (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
4.252 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (exp (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp h1))
 (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (exp (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (* (cbrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (cbrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (cbrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (* (* (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1) (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (sqrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (sqrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (+ (pow (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow h1 3))
 (+ (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (- (* h1 h1) (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (- (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* h1 h1))
 (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)
 (exp 1)
 (exp (* (cbrt (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))) (cbrt (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (exp (sqrt (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp 1)
 (exp (log (* (cbrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (cbrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (exp (log (cbrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (log (sqrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (log (sqrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (log 1))
 (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (exp (log (+ (pow (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow h1 3))))
 (exp (log (+ (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (- (* h1 h1) (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (exp (log (- (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* h1 h1))))
 (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (log (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (* (cbrt (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))) (cbrt (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (cbrt (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (* (* (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))) (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))) (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (sqrt (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (sqrt (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (+ h1 h0)
 (* 2 h1)
 0
 (+ h1 h0)
 (* 2 h1)
 0
4.400 * * * [progress]: adding candidates to table
4.750 * [progress]: [Phase 3 of 3] Extracting.
4.750 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* 2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
4.759 * * * [regime-changes]: Trying 6 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))) im re)
4.759 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* 2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
4.844 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* 2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
4.935 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* 2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
5.042 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
5.063 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* 2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
5.130 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
5.164 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* 2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
5.235 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
5.274 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* 2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
5.364 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* 2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
5.442 * * * [regime]: Found split indices: #<option (#s(si 7 121) #s(si 5 205) #s(si 6 255))>
5.444 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* 2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
5.590 * [regimes]: Found splitpoints: (#s(sp 7 re -2.552067448335498e-308) #s(sp 5 re 1.3149636495056428e+66) #s(sp 6 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* 2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (pow E (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 0))))))>)
5.591 * [simplify]: Simplifying:
  (if (<= re -2.552067448335498e-308) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (if (<= re 1.3149636495056428e+66) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (* 2 re))))))
5.591 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 (/ -5165442021353433.0 +inf.0)) (* (/ 1.0 2.0) (sqrt (* 2.0 (/ (* h1 h1) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (if (<= h0 1.3149636495056428e+66) (* (/ 1.0 2.0) (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (* (/ 1.0 2.0) (sqrt (* 2.0 (* 2 h0))))))