0.916 * [progress]: [Phase 1 of 3] Setting up.
0.028 * * * [progress]: [1/2] Preparing points
0.324 * * * [progress]: [2/2] Setting up program.
0.333 * [progress]: [Phase 2 of 3] Improving.
0.334 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
0.463 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.464 * * [simplify]: iteration 1: (12 enodes)
0.477 * * [simplify]: iteration 2: (17 enodes)
0.483 * * [simplify]: iteration 3: (24 enodes)
0.491 * * [simplify]: iteration 4: (30 enodes)
0.502 * * [simplify]: iteration 5: (35 enodes)
0.512 * * [simplify]: Extracting #0: cost 1 inf + 0
0.512 * * [simplify]: Extracting #1: cost 3 inf + 0
0.513 * * [simplify]: Extracting #2: cost 3 inf + 1
0.513 * * [simplify]: Extracting #3: cost 8 inf + 1
0.513 * * [simplify]: Extracting #4: cost 11 inf + 2
0.513 * * [simplify]: Extracting #5: cost 7 inf + 209
0.513 * * [simplify]: Extracting #6: cost 9 inf + 209
0.514 * * [simplify]: Extracting #7: cost 9 inf + 250
0.514 * * [simplify]: Extracting #8: cost 7 inf + 292
0.514 * * [simplify]: Extracting #9: cost 5 inf + 576
0.515 * * [simplify]: Extracting #10: cost 2 inf + 1224
0.515 * * [simplify]: Extracting #11: cost 0 inf + 1831
0.516 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.525 * * [progress]: iteration 1 / 4
0.525 * * * [progress]: picking best candidate
0.531 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
0.532 * * * [progress]: localizing error
0.576 * * * [progress]: generating rewritten candidates
0.577 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.591 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.671 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1)
0.689 * * * [progress]: generating series expansions
0.690 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.697 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.697 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.699 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.699 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.699 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.699 * [taylor]: Taking taylor expansion of im in im
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 1 into 1
0.699 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.699 * [taylor]: Taking taylor expansion of re in im
0.699 * [backup-simplify]: Simplify re into re
0.700 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.700 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.701 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.701 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.702 * [backup-simplify]: Simplify (+ 0 0) into 0
0.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.702 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.702 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.702 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.702 * [taylor]: Taking taylor expansion of im in re
0.702 * [backup-simplify]: Simplify im into im
0.702 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.702 * [taylor]: Taking taylor expansion of re in re
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 1 into 1
0.702 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.702 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.702 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.702 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.703 * [backup-simplify]: Simplify (+ 0 0) into 0
0.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.703 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.703 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.703 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.703 * [taylor]: Taking taylor expansion of im in re
0.703 * [backup-simplify]: Simplify im into im
0.703 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.703 * [taylor]: Taking taylor expansion of re in re
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify 1 into 1
0.704 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.704 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.704 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.704 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.704 * [backup-simplify]: Simplify (+ 0 0) into 0
0.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.705 * [taylor]: Taking taylor expansion of im in im
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [backup-simplify]: Simplify 1 into 1
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [taylor]: Taking taylor expansion of 0 in im
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify 1 into 1
0.707 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.707 * [backup-simplify]: Simplify (* 1 1) into 1
0.708 * [backup-simplify]: Simplify (+ 0 1) into 1
0.709 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.709 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.709 * [taylor]: Taking taylor expansion of 1/2 in im
0.709 * [backup-simplify]: Simplify 1/2 into 1/2
0.709 * [taylor]: Taking taylor expansion of im in im
0.709 * [backup-simplify]: Simplify 0 into 0
0.709 * [backup-simplify]: Simplify 1 into 1
0.710 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.711 * [backup-simplify]: Simplify 0 into 0
0.711 * [backup-simplify]: Simplify 0 into 0
0.711 * [backup-simplify]: Simplify 0 into 0
0.712 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.713 * [backup-simplify]: Simplify (+ 0 0) into 0
0.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.713 * [taylor]: Taking taylor expansion of 0 in im
0.713 * [backup-simplify]: Simplify 0 into 0
0.713 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 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 (* 1 (* im 1)) into im
0.715 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.715 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.715 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.715 * [taylor]: Taking taylor expansion of re in im
0.715 * [backup-simplify]: Simplify re into re
0.716 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.716 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.716 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.716 * [taylor]: Taking taylor expansion of im in im
0.716 * [backup-simplify]: Simplify 0 into 0
0.716 * [backup-simplify]: Simplify 1 into 1
0.716 * [backup-simplify]: Simplify (* 1 1) into 1
0.717 * [backup-simplify]: Simplify (/ 1 1) into 1
0.717 * [backup-simplify]: Simplify (+ 0 1) into 1
0.718 * [backup-simplify]: Simplify (sqrt 1) into 1
0.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.720 * [backup-simplify]: Simplify (+ 0 0) into 0
0.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.720 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.720 * [taylor]: Taking taylor expansion of re in re
0.720 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 1 into 1
0.721 * [backup-simplify]: Simplify (* 1 1) into 1
0.721 * [backup-simplify]: Simplify (/ 1 1) into 1
0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.721 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.721 * [taylor]: Taking taylor expansion of im in re
0.721 * [backup-simplify]: Simplify im into im
0.721 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.722 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.722 * [backup-simplify]: Simplify (+ 1 0) into 1
0.722 * [backup-simplify]: Simplify (sqrt 1) into 1
0.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.724 * [backup-simplify]: Simplify (+ 0 0) into 0
0.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.725 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.725 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.725 * [taylor]: Taking taylor expansion of re in re
0.725 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify 1 into 1
0.725 * [backup-simplify]: Simplify (* 1 1) into 1
0.726 * [backup-simplify]: Simplify (/ 1 1) into 1
0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.726 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.726 * [taylor]: Taking taylor expansion of im in re
0.726 * [backup-simplify]: Simplify im into im
0.726 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.726 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.727 * [backup-simplify]: Simplify (+ 1 0) into 1
0.727 * [backup-simplify]: Simplify (sqrt 1) into 1
0.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.729 * [backup-simplify]: Simplify (+ 0 0) into 0
0.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.730 * [taylor]: Taking taylor expansion of 1 in im
0.730 * [backup-simplify]: Simplify 1 into 1
0.730 * [taylor]: Taking taylor expansion of 0 in im
0.730 * [backup-simplify]: Simplify 0 into 0
0.730 * [backup-simplify]: Simplify 1 into 1
0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.733 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.733 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.733 * [taylor]: Taking taylor expansion of 1/2 in im
0.733 * [backup-simplify]: Simplify 1/2 into 1/2
0.733 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.734 * [taylor]: Taking taylor expansion of im in im
0.734 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify 1 into 1
0.734 * [backup-simplify]: Simplify (* 1 1) into 1
0.734 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.738 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.739 * [backup-simplify]: Simplify (+ 0 0) into 0
0.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.740 * [taylor]: Taking taylor expansion of 0 in im
0.740 * [backup-simplify]: Simplify 0 into 0
0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.742 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.742 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.742 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.742 * [taylor]: Taking taylor expansion of re in im
0.742 * [backup-simplify]: Simplify re into re
0.742 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.743 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.743 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.743 * [taylor]: Taking taylor expansion of im in im
0.743 * [backup-simplify]: Simplify 0 into 0
0.743 * [backup-simplify]: Simplify 1 into 1
0.743 * [backup-simplify]: Simplify (* 1 1) into 1
0.744 * [backup-simplify]: Simplify (/ 1 1) into 1
0.744 * [backup-simplify]: Simplify (+ 0 1) into 1
0.745 * [backup-simplify]: Simplify (sqrt 1) into 1
0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.746 * [backup-simplify]: Simplify (+ 0 0) into 0
0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.747 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.747 * [taylor]: Taking taylor expansion of re in re
0.747 * [backup-simplify]: Simplify 0 into 0
0.747 * [backup-simplify]: Simplify 1 into 1
0.748 * [backup-simplify]: Simplify (* 1 1) into 1
0.748 * [backup-simplify]: Simplify (/ 1 1) into 1
0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.748 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.748 * [taylor]: Taking taylor expansion of im in re
0.748 * [backup-simplify]: Simplify im into im
0.748 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.748 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.749 * [backup-simplify]: Simplify (+ 1 0) into 1
0.749 * [backup-simplify]: Simplify (sqrt 1) into 1
0.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.751 * [backup-simplify]: Simplify (+ 0 0) into 0
0.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.752 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.752 * [taylor]: Taking taylor expansion of re in re
0.752 * [backup-simplify]: Simplify 0 into 0
0.752 * [backup-simplify]: Simplify 1 into 1
0.753 * [backup-simplify]: Simplify (* 1 1) into 1
0.753 * [backup-simplify]: Simplify (/ 1 1) into 1
0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.753 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.753 * [taylor]: Taking taylor expansion of im in re
0.753 * [backup-simplify]: Simplify im into im
0.753 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.754 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.754 * [backup-simplify]: Simplify (+ 1 0) into 1
0.754 * [backup-simplify]: Simplify (sqrt 1) into 1
0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.756 * [backup-simplify]: Simplify (+ 0 0) into 0
0.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.757 * [taylor]: Taking taylor expansion of 1 in im
0.757 * [backup-simplify]: Simplify 1 into 1
0.757 * [taylor]: Taking taylor expansion of 0 in im
0.757 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify 1 into 1
0.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.759 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.760 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.760 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.761 * [taylor]: Taking taylor expansion of 1/2 in im
0.761 * [backup-simplify]: Simplify 1/2 into 1/2
0.761 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.761 * [taylor]: Taking taylor expansion of im in im
0.761 * [backup-simplify]: Simplify 0 into 0
0.761 * [backup-simplify]: Simplify 1 into 1
0.761 * [backup-simplify]: Simplify (* 1 1) into 1
0.761 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.765 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.766 * [backup-simplify]: Simplify (+ 0 0) into 0
0.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.767 * [taylor]: Taking taylor expansion of 0 in im
0.767 * [backup-simplify]: Simplify 0 into 0
0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.769 * [backup-simplify]: Simplify 0 into 0
0.769 * [backup-simplify]: Simplify 0 into 0
0.769 * [backup-simplify]: Simplify 0 into 0
0.769 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.769 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.769 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
0.769 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
0.770 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
0.770 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.770 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.770 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.770 * [taylor]: Taking taylor expansion of im in im
0.770 * [backup-simplify]: Simplify 0 into 0
0.770 * [backup-simplify]: Simplify 1 into 1
0.770 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.770 * [taylor]: Taking taylor expansion of re in im
0.770 * [backup-simplify]: Simplify re into re
0.770 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.770 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.770 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.770 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.771 * [backup-simplify]: Simplify (+ 0 0) into 0
0.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.771 * [taylor]: Taking taylor expansion of re in im
0.771 * [backup-simplify]: Simplify re into re
0.771 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.771 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.771 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.771 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.771 * [taylor]: Taking taylor expansion of im in re
0.771 * [backup-simplify]: Simplify im into im
0.771 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.771 * [taylor]: Taking taylor expansion of re in re
0.771 * [backup-simplify]: Simplify 0 into 0
0.771 * [backup-simplify]: Simplify 1 into 1
0.771 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.771 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.771 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.771 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.772 * [backup-simplify]: Simplify (+ 0 0) into 0
0.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.772 * [taylor]: Taking taylor expansion of re in re
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 1 into 1
0.772 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.772 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.772 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.772 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.772 * [taylor]: Taking taylor expansion of im in re
0.772 * [backup-simplify]: Simplify im into im
0.772 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.773 * [taylor]: Taking taylor expansion of re in re
0.773 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify 1 into 1
0.773 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.773 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.773 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.773 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.773 * [backup-simplify]: Simplify (+ 0 0) into 0
0.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.774 * [taylor]: Taking taylor expansion of re in re
0.774 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify 1 into 1
0.774 * [backup-simplify]: Simplify (- 0) into 0
0.774 * [backup-simplify]: Simplify (+ im 0) into im
0.774 * [taylor]: Taking taylor expansion of im in im
0.774 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify 1 into 1
0.774 * [backup-simplify]: Simplify 0 into 0
0.775 * [backup-simplify]: Simplify (- 1) into -1
0.782 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.782 * [taylor]: Taking taylor expansion of -1 in im
0.782 * [backup-simplify]: Simplify -1 into -1
0.782 * [backup-simplify]: Simplify -1 into -1
0.783 * [backup-simplify]: Simplify 1 into 1
0.783 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.784 * [backup-simplify]: Simplify (* 1 1) into 1
0.784 * [backup-simplify]: Simplify (+ 0 1) into 1
0.785 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.786 * [backup-simplify]: Simplify (- 0) into 0
0.786 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.786 * [taylor]: Taking taylor expansion of 1/2 in im
0.786 * [backup-simplify]: Simplify 1/2 into 1/2
0.786 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.786 * [taylor]: Taking taylor expansion of im in im
0.786 * [backup-simplify]: Simplify 0 into 0
0.786 * [backup-simplify]: Simplify 1 into 1
0.786 * [backup-simplify]: Simplify (/ 1 1) into 1
0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.788 * [backup-simplify]: Simplify 0 into 0
0.788 * [backup-simplify]: Simplify 0 into 0
0.788 * [backup-simplify]: Simplify 0 into 0
0.789 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.790 * [backup-simplify]: Simplify (+ 0 0) into 0
0.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.791 * [backup-simplify]: Simplify (- 0) into 0
0.791 * [backup-simplify]: Simplify (+ 0 0) into 0
0.791 * [taylor]: Taking taylor expansion of 0 in im
0.791 * [backup-simplify]: Simplify 0 into 0
0.791 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.794 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
0.794 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.794 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.794 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.794 * [taylor]: Taking taylor expansion of re in im
0.794 * [backup-simplify]: Simplify re into re
0.794 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.794 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.795 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.795 * [taylor]: Taking taylor expansion of im in im
0.795 * [backup-simplify]: Simplify 0 into 0
0.795 * [backup-simplify]: Simplify 1 into 1
0.795 * [backup-simplify]: Simplify (* 1 1) into 1
0.796 * [backup-simplify]: Simplify (/ 1 1) into 1
0.796 * [backup-simplify]: Simplify (+ 0 1) into 1
0.796 * [backup-simplify]: Simplify (sqrt 1) into 1
0.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.798 * [backup-simplify]: Simplify (+ 0 0) into 0
0.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.799 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.799 * [taylor]: Taking taylor expansion of re in im
0.799 * [backup-simplify]: Simplify re into re
0.799 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.799 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.799 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.799 * [taylor]: Taking taylor expansion of re in re
0.799 * [backup-simplify]: Simplify 0 into 0
0.799 * [backup-simplify]: Simplify 1 into 1
0.800 * [backup-simplify]: Simplify (* 1 1) into 1
0.800 * [backup-simplify]: Simplify (/ 1 1) into 1
0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.800 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.800 * [taylor]: Taking taylor expansion of im in re
0.800 * [backup-simplify]: Simplify im into im
0.800 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.801 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.801 * [backup-simplify]: Simplify (+ 1 0) into 1
0.801 * [backup-simplify]: Simplify (sqrt 1) into 1
0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.803 * [backup-simplify]: Simplify (+ 0 0) into 0
0.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.804 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.804 * [taylor]: Taking taylor expansion of re in re
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 1 into 1
0.805 * [backup-simplify]: Simplify (/ 1 1) into 1
0.805 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.805 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.805 * [taylor]: Taking taylor expansion of re in re
0.805 * [backup-simplify]: Simplify 0 into 0
0.805 * [backup-simplify]: Simplify 1 into 1
0.805 * [backup-simplify]: Simplify (* 1 1) into 1
0.806 * [backup-simplify]: Simplify (/ 1 1) into 1
0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.806 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.806 * [taylor]: Taking taylor expansion of im in re
0.806 * [backup-simplify]: Simplify im into im
0.806 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.806 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.806 * [backup-simplify]: Simplify (+ 1 0) into 1
0.807 * [backup-simplify]: Simplify (sqrt 1) into 1
0.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.809 * [backup-simplify]: Simplify (+ 0 0) into 0
0.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.809 * [taylor]: Taking taylor expansion of re in re
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify 1 into 1
0.810 * [backup-simplify]: Simplify (/ 1 1) into 1
0.810 * [backup-simplify]: Simplify (- 1) into -1
0.811 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.811 * [taylor]: Taking taylor expansion of 0 in im
0.811 * [backup-simplify]: Simplify 0 into 0
0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.812 * [backup-simplify]: Simplify (- 0) into 0
0.812 * [backup-simplify]: Simplify (+ 0 0) into 0
0.812 * [taylor]: Taking taylor expansion of 0 in im
0.812 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.815 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.816 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.817 * [backup-simplify]: Simplify (- 0) into 0
0.817 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.817 * [taylor]: Taking taylor expansion of 1/2 in im
0.817 * [backup-simplify]: Simplify 1/2 into 1/2
0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.818 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.818 * [taylor]: Taking taylor expansion of im in im
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 (+ (* 1 0) (* 0 1)) into 0
0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.821 * [backup-simplify]: Simplify 0 into 0
0.821 * [backup-simplify]: Simplify 0 into 0
0.821 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.823 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.824 * [backup-simplify]: Simplify (+ 0 0) into 0
0.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.826 * [backup-simplify]: Simplify (- 0) into 0
0.827 * [backup-simplify]: Simplify (+ 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.830 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify 0 into 0
0.831 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
0.831 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.831 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.831 * [taylor]: Taking taylor expansion of re in im
0.831 * [backup-simplify]: Simplify re into re
0.831 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.831 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.831 * [taylor]: Taking taylor expansion of re in im
0.831 * [backup-simplify]: Simplify re into re
0.831 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.831 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.831 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.831 * [taylor]: Taking taylor expansion of im in im
0.831 * [backup-simplify]: Simplify 0 into 0
0.831 * [backup-simplify]: Simplify 1 into 1
0.832 * [backup-simplify]: Simplify (* 1 1) into 1
0.832 * [backup-simplify]: Simplify (/ 1 1) into 1
0.833 * [backup-simplify]: Simplify (+ 0 1) into 1
0.833 * [backup-simplify]: Simplify (sqrt 1) into 1
0.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.835 * [backup-simplify]: Simplify (+ 0 0) into 0
0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.836 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.836 * [taylor]: Taking taylor expansion of re in re
0.836 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify 1 into 1
0.836 * [backup-simplify]: Simplify (/ 1 1) into 1
0.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.837 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.837 * [taylor]: Taking taylor expansion of re in re
0.837 * [backup-simplify]: Simplify 0 into 0
0.837 * [backup-simplify]: Simplify 1 into 1
0.837 * [backup-simplify]: Simplify (* 1 1) into 1
0.837 * [backup-simplify]: Simplify (/ 1 1) into 1
0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.838 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.838 * [taylor]: Taking taylor expansion of im in re
0.838 * [backup-simplify]: Simplify im into im
0.838 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.838 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.838 * [backup-simplify]: Simplify (+ 1 0) into 1
0.839 * [backup-simplify]: Simplify (sqrt 1) into 1
0.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.840 * [backup-simplify]: Simplify (+ 0 0) into 0
0.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.841 * [taylor]: Taking taylor expansion of re in re
0.841 * [backup-simplify]: Simplify 0 into 0
0.841 * [backup-simplify]: Simplify 1 into 1
0.842 * [backup-simplify]: Simplify (/ 1 1) into 1
0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.842 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.842 * [taylor]: Taking taylor expansion of re in re
0.842 * [backup-simplify]: Simplify 0 into 0
0.842 * [backup-simplify]: Simplify 1 into 1
0.842 * [backup-simplify]: Simplify (* 1 1) into 1
0.843 * [backup-simplify]: Simplify (/ 1 1) into 1
0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.843 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.843 * [taylor]: Taking taylor expansion of im in re
0.843 * [backup-simplify]: Simplify im into im
0.843 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.843 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.843 * [backup-simplify]: Simplify (+ 1 0) into 1
0.844 * [backup-simplify]: Simplify (sqrt 1) into 1
0.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.846 * [backup-simplify]: Simplify (+ 0 0) into 0
0.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.847 * [backup-simplify]: Simplify (+ 1 1) into 2
0.847 * [taylor]: Taking taylor expansion of 2 in im
0.847 * [backup-simplify]: Simplify 2 into 2
0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.847 * [backup-simplify]: Simplify (+ 0 0) into 0
0.847 * [taylor]: Taking taylor expansion of 0 in im
0.847 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify 2 into 2
0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.849 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.850 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.850 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.850 * [taylor]: Taking taylor expansion of 1/2 in im
0.850 * [backup-simplify]: Simplify 1/2 into 1/2
0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.850 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.850 * [taylor]: Taking taylor expansion of im in im
0.850 * [backup-simplify]: Simplify 0 into 0
0.850 * [backup-simplify]: Simplify 1 into 1
0.851 * [backup-simplify]: Simplify (* 1 1) into 1
0.851 * [backup-simplify]: Simplify (/ 1 1) into 1
0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.854 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.854 * [backup-simplify]: Simplify (+ 0 0) into 0
0.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.855 * [backup-simplify]: Simplify (+ 0 0) into 0
0.855 * [taylor]: Taking taylor expansion of 0 in im
0.855 * [backup-simplify]: Simplify 0 into 0
0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.857 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1)
0.857 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.857 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.857 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.857 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.857 * [taylor]: Taking taylor expansion of im in im
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 1 into 1
0.857 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.857 * [taylor]: Taking taylor expansion of re in im
0.857 * [backup-simplify]: Simplify re into re
0.857 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.857 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.857 * [taylor]: Taking taylor expansion of im in re
0.857 * [backup-simplify]: Simplify im into im
0.857 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.857 * [taylor]: Taking taylor expansion of re in re
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 1 into 1
0.857 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.857 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.857 * [taylor]: Taking taylor expansion of im in re
0.857 * [backup-simplify]: Simplify im into im
0.857 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.857 * [taylor]: Taking taylor expansion of re in re
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 1 into 1
0.858 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.858 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.858 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.858 * [taylor]: Taking taylor expansion of im in im
0.858 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify 1 into 1
0.858 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.858 * [backup-simplify]: Simplify (+ 0 0) into 0
0.858 * [taylor]: Taking taylor expansion of 0 in im
0.858 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.859 * [backup-simplify]: Simplify (* 1 1) into 1
0.859 * [backup-simplify]: Simplify (+ 0 1) into 1
0.859 * [taylor]: Taking taylor expansion of 1 in im
0.859 * [backup-simplify]: Simplify 1 into 1
0.859 * [backup-simplify]: Simplify 1 into 1
0.859 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify (* 1 1) into 1
0.859 * [backup-simplify]: Simplify 1 into 1
0.860 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.860 * [backup-simplify]: Simplify (+ 0 0) into 0
0.860 * [taylor]: Taking taylor expansion of 0 in im
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.861 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.863 * [backup-simplify]: Simplify (+ 0 0) into 0
0.863 * [taylor]: Taking taylor expansion of 0 in im
0.863 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.863 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.863 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.863 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.863 * [taylor]: Taking taylor expansion of re in im
0.863 * [backup-simplify]: Simplify re into re
0.863 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.863 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.863 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.863 * [taylor]: Taking taylor expansion of im in im
0.863 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify 1 into 1
0.863 * [backup-simplify]: Simplify (* 1 1) into 1
0.864 * [backup-simplify]: Simplify (/ 1 1) into 1
0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.864 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.864 * [taylor]: Taking taylor expansion of re in re
0.864 * [backup-simplify]: Simplify 0 into 0
0.864 * [backup-simplify]: Simplify 1 into 1
0.864 * [backup-simplify]: Simplify (* 1 1) into 1
0.864 * [backup-simplify]: Simplify (/ 1 1) into 1
0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.864 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.864 * [taylor]: Taking taylor expansion of im in re
0.864 * [backup-simplify]: Simplify im into im
0.864 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.864 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.865 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.865 * [taylor]: Taking taylor expansion of re in re
0.865 * [backup-simplify]: Simplify 0 into 0
0.865 * [backup-simplify]: Simplify 1 into 1
0.865 * [backup-simplify]: Simplify (* 1 1) into 1
0.865 * [backup-simplify]: Simplify (/ 1 1) into 1
0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.865 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.865 * [taylor]: Taking taylor expansion of im in re
0.865 * [backup-simplify]: Simplify im into im
0.865 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.865 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.866 * [backup-simplify]: Simplify (+ 1 0) into 1
0.866 * [taylor]: Taking taylor expansion of 1 in im
0.866 * [backup-simplify]: Simplify 1 into 1
0.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.867 * [backup-simplify]: Simplify (+ 0 0) into 0
0.867 * [taylor]: Taking taylor expansion of 0 in im
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.868 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.868 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.868 * [taylor]: Taking taylor expansion of im in im
0.868 * [backup-simplify]: Simplify 0 into 0
0.868 * [backup-simplify]: Simplify 1 into 1
0.868 * [backup-simplify]: Simplify (* 1 1) into 1
0.869 * [backup-simplify]: Simplify (/ 1 1) into 1
0.869 * [backup-simplify]: Simplify 1 into 1
0.869 * [backup-simplify]: Simplify 1 into 1
0.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.870 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.870 * [backup-simplify]: Simplify (+ 0 0) into 0
0.870 * [taylor]: Taking taylor expansion of 0 in im
0.870 * [backup-simplify]: Simplify 0 into 0
0.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.871 * [backup-simplify]: Simplify 0 into 0
0.871 * [backup-simplify]: Simplify 0 into 0
0.871 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.873 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.873 * [backup-simplify]: Simplify (+ 0 0) into 0
0.873 * [taylor]: Taking taylor expansion of 0 in im
0.873 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.875 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.875 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.875 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.875 * [taylor]: Taking taylor expansion of re in im
0.875 * [backup-simplify]: Simplify re into re
0.875 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.875 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.875 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.875 * [taylor]: Taking taylor expansion of im in im
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify 1 into 1
0.875 * [backup-simplify]: Simplify (* 1 1) into 1
0.876 * [backup-simplify]: Simplify (/ 1 1) into 1
0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.876 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.876 * [taylor]: Taking taylor expansion of re in re
0.876 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify 1 into 1
0.876 * [backup-simplify]: Simplify (* 1 1) into 1
0.876 * [backup-simplify]: Simplify (/ 1 1) into 1
0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.876 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.876 * [taylor]: Taking taylor expansion of im in re
0.876 * [backup-simplify]: Simplify im into im
0.876 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.876 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.876 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.876 * [taylor]: Taking taylor expansion of re in re
0.876 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify 1 into 1
0.877 * [backup-simplify]: Simplify (* 1 1) into 1
0.877 * [backup-simplify]: Simplify (/ 1 1) into 1
0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.877 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.877 * [taylor]: Taking taylor expansion of im in re
0.877 * [backup-simplify]: Simplify im into im
0.877 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.877 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.877 * [backup-simplify]: Simplify (+ 1 0) into 1
0.877 * [taylor]: Taking taylor expansion of 1 in im
0.878 * [backup-simplify]: Simplify 1 into 1
0.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.879 * [backup-simplify]: Simplify (+ 0 0) into 0
0.879 * [taylor]: Taking taylor expansion of 0 in im
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.880 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.880 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.880 * [taylor]: Taking taylor expansion of im in im
0.880 * [backup-simplify]: Simplify 0 into 0
0.880 * [backup-simplify]: Simplify 1 into 1
0.880 * [backup-simplify]: Simplify (* 1 1) into 1
0.880 * [backup-simplify]: Simplify (/ 1 1) into 1
0.880 * [backup-simplify]: Simplify 1 into 1
0.880 * [backup-simplify]: Simplify 1 into 1
0.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.882 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.882 * [backup-simplify]: Simplify (+ 0 0) into 0
0.882 * [taylor]: Taking taylor expansion of 0 in im
0.882 * [backup-simplify]: Simplify 0 into 0
0.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.883 * [backup-simplify]: Simplify 0 into 0
0.883 * [backup-simplify]: Simplify 0 into 0
0.883 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.885 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.885 * [backup-simplify]: Simplify (+ 0 0) into 0
0.885 * [taylor]: Taking taylor expansion of 0 in im
0.885 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.887 * * * [progress]: simplifying candidates
0.887 * * * * [progress]: [ 1 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))>
0.887 * * * * [progress]: [ 2 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re)))))>
0.887 * * * * [progress]: [ 3 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
0.887 * * * * [progress]: [ 4 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (log (exp (sqrt (+ (* re re) (* im im))))) re)))))>
0.887 * * * * [progress]: [ 5 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.887 * * * * [progress]: [ 6 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re)))))>
0.887 * * * * [progress]: [ 7 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))>
0.887 * * * * [progress]: [ 8 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.887 * * * * [progress]: [ 9 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))>
0.887 * * * * [progress]: [ 10 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))>
0.887 * * * * [progress]: [ 11 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))>
0.887 * * * * [progress]: [ 12 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))>
0.888 * * * * [progress]: [ 13 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.888 * * * * [progress]: [ 14 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (fabs (sqrt (+ (* re re) (* im im)))) re)))))>
0.888 * * * * [progress]: [ 15 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re)))))>
0.888 * * * * [progress]: [ 16 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))>
0.888 * * * * [progress]: [ 17 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)))))))>
0.888 * * * * [progress]: [ 18 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) 1)))))>
0.888 * * * * [progress]: [ 19 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.888 * * * * [progress]: [ 20 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.888 * * * * [progress]: [ 21 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.888 * * * * [progress]: [ 22 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.888 * * * * [progress]: [ 23 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.888 * * * * [progress]: [ 24 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (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))))))))>
0.888 * * * * [progress]: [ 25 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) (- re))))))>
0.888 * * * * [progress]: [ 26 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re))))))>
0.888 * * * * [progress]: [ 27 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re))))))>
0.888 * * * * [progress]: [ 28 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))>
0.888 * * * * [progress]: [ 29 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))>
0.888 * * * * [progress]: [ 30 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re))))))>
0.888 * * * * [progress]: [ 31 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) (- re))))))>
0.888 * * * * [progress]: [ 32 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.888 * * * * [progress]: [ 33 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (log (* (exp (* re re)) (exp (* im im))))) re)))))>
0.888 * * * * [progress]: [ 34 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (pow (+ (* re re) (* im im)) 1)) re)))))>
0.888 * * * * [progress]: [ 35 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (exp (log (+ (* re re) (* im im))))) re)))))>
0.888 * * * * [progress]: [ 36 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (log (exp (+ (* re re) (* im im))))) re)))))>
0.888 * * * * [progress]: [ 37 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) re)))))>
0.889 * * * * [progress]: [ 38 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (cbrt (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))))) re)))))>
0.889 * * * * [progress]: [ 39 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) re)))))>
0.889 * * * * [progress]: [ 40 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (/ (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))>
0.889 * * * * [progress]: [ 41 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (* 1 (+ (* re re) (* im im)))) re)))))>
0.889 * * * * [progress]: [ 42 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (/ (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)))) re)))))>
0.889 * * * * [progress]: [ 43 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (posit16->real (real->posit16 (+ (* re re) (* im im))))) re)))))>
0.889 * * * * [progress]: [ 44 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* im im) (* re re))) re)))))>
0.889 * * * * [progress]: [ 45 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
0.889 * * * * [progress]: [ 46 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))>
0.889 * * * * [progress]: [ 47 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))>
0.889 * * * * [progress]: [ 48 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
0.889 * * * * [progress]: [ 49 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
0.889 * * * * [progress]: [ 50 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>
0.889 * * * * [progress]: [ 51 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (pow im 2) (pow re 2))) re)))))>
0.889 * * * * [progress]: [ 52 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (pow im 2) (pow re 2))) re)))))>
0.889 * * * * [progress]: [ 53 / 53 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (pow im 2) (pow re 2))) re)))))>
0.890 * [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))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (real->posit16 (- (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))
  (real->posit16 (+ (* re re) (* im im)))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
0.890 * * [simplify]: iteration 1: (77 enodes)
0.911 * * [simplify]: iteration 2: (176 enodes)
0.965 * * [simplify]: iteration 3: (570 enodes)
1.327 * * [simplify]: Extracting #0: cost 47 inf + 0
1.327 * * [simplify]: Extracting #1: cost 172 inf + 46
1.329 * * [simplify]: Extracting #2: cost 473 inf + 4389
1.340 * * [simplify]: Extracting #3: cost 274 inf + 38282
1.355 * * [simplify]: Extracting #4: cost 75 inf + 85235
1.376 * * [simplify]: Extracting #5: cost 0 inf + 107735
1.396 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (real->posit16 (sqrt (+ (* im im) (* re re))))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (log (- (sqrt (+ (* im im) (* re re))) re))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (- (sqrt (+ (* im im) (* re re))) re))
  (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))
  (+ (* re re) (+ (* (sqrt (+ (* im im) (* re re))) re) (+ (* im im) (* re re))))
  (- re)
  (+ (* im im) 0)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (+ (* im im) (* re re))) re)
  (- re)
  (real->posit16 (- (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (+ (* im im) (* re re)) (* (+ (* im im) (* re re)) (+ (* im im) (* re re))))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (* (* re (* re re)) (* re (* re re))) (* (* im (* im im)) (* im (* im im))))
  (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))
  (* (+ (* re re) (* im im)) (- (* re re) (* im im)))
  (* (+ re im) (- re im))
  (real->posit16 (+ (* im im) (* re re)))
  im
  re
  (- re)
  (- im re)
  0
  (* re -2)
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
1.401 * * * [progress]: adding candidates to table
1.992 * * [progress]: iteration 2 / 4
1.993 * * * [progress]: picking best candidate
2.015 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.015 * * * [progress]: localizing error
2.050 * * * [progress]: generating rewritten candidates
2.050 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
2.056 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
2.068 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
2.075 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
2.173 * * * [progress]: generating series expansions
2.173 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
2.173 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.173 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.173 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.173 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.173 * [taylor]: Taking taylor expansion of im in im
2.173 * [backup-simplify]: Simplify 0 into 0
2.173 * [backup-simplify]: Simplify 1 into 1
2.173 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.173 * [taylor]: Taking taylor expansion of re in im
2.173 * [backup-simplify]: Simplify re into re
2.173 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.173 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.173 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.173 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.174 * [backup-simplify]: Simplify (+ 0 0) into 0
2.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.174 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.174 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.174 * [taylor]: Taking taylor expansion of im in re
2.174 * [backup-simplify]: Simplify im into im
2.174 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.174 * [taylor]: Taking taylor expansion of re in re
2.174 * [backup-simplify]: Simplify 0 into 0
2.174 * [backup-simplify]: Simplify 1 into 1
2.174 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.175 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.175 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.175 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.175 * [backup-simplify]: Simplify (+ 0 0) into 0
2.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.175 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.175 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.175 * [taylor]: Taking taylor expansion of im in re
2.175 * [backup-simplify]: Simplify im into im
2.175 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.175 * [taylor]: Taking taylor expansion of re in re
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 1 into 1
2.175 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.175 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.175 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.175 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.176 * [backup-simplify]: Simplify (+ 0 0) into 0
2.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.176 * [taylor]: Taking taylor expansion of im in im
2.176 * [backup-simplify]: Simplify 0 into 0
2.176 * [backup-simplify]: Simplify 1 into 1
2.176 * [backup-simplify]: Simplify 0 into 0
2.176 * [taylor]: Taking taylor expansion of 0 in im
2.176 * [backup-simplify]: Simplify 0 into 0
2.176 * [backup-simplify]: Simplify 0 into 0
2.176 * [backup-simplify]: Simplify 1 into 1
2.176 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.176 * [backup-simplify]: Simplify (* 1 1) into 1
2.177 * [backup-simplify]: Simplify (+ 0 1) into 1
2.177 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.177 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.177 * [taylor]: Taking taylor expansion of 1/2 in im
2.177 * [backup-simplify]: Simplify 1/2 into 1/2
2.177 * [taylor]: Taking taylor expansion of im in im
2.177 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify 1 into 1
2.177 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.178 * [backup-simplify]: Simplify 0 into 0
2.178 * [backup-simplify]: Simplify 0 into 0
2.178 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.179 * [backup-simplify]: Simplify (+ 0 0) into 0
2.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.179 * [taylor]: Taking taylor expansion of 0 in im
2.179 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.181 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.181 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.181 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.181 * [taylor]: Taking taylor expansion of re in im
2.181 * [backup-simplify]: Simplify re into re
2.181 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.181 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.181 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.181 * [taylor]: Taking taylor expansion of im in im
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify 1 into 1
2.181 * [backup-simplify]: Simplify (* 1 1) into 1
2.181 * [backup-simplify]: Simplify (/ 1 1) into 1
2.182 * [backup-simplify]: Simplify (+ 0 1) into 1
2.182 * [backup-simplify]: Simplify (sqrt 1) into 1
2.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.183 * [backup-simplify]: Simplify (+ 0 0) into 0
2.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.184 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.184 * [taylor]: Taking taylor expansion of re in re
2.184 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify 1 into 1
2.184 * [backup-simplify]: Simplify (* 1 1) into 1
2.184 * [backup-simplify]: Simplify (/ 1 1) into 1
2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.184 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.184 * [taylor]: Taking taylor expansion of im in re
2.184 * [backup-simplify]: Simplify im into im
2.184 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.184 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.185 * [backup-simplify]: Simplify (+ 1 0) into 1
2.185 * [backup-simplify]: Simplify (sqrt 1) into 1
2.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.186 * [backup-simplify]: Simplify (+ 0 0) into 0
2.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.186 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.186 * [taylor]: Taking taylor expansion of re in re
2.186 * [backup-simplify]: Simplify 0 into 0
2.186 * [backup-simplify]: Simplify 1 into 1
2.187 * [backup-simplify]: Simplify (* 1 1) into 1
2.187 * [backup-simplify]: Simplify (/ 1 1) into 1
2.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.187 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.187 * [taylor]: Taking taylor expansion of im in re
2.187 * [backup-simplify]: Simplify im into im
2.187 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.187 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.187 * [backup-simplify]: Simplify (+ 1 0) into 1
2.188 * [backup-simplify]: Simplify (sqrt 1) into 1
2.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.189 * [backup-simplify]: Simplify (+ 0 0) into 0
2.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.189 * [taylor]: Taking taylor expansion of 1 in im
2.189 * [backup-simplify]: Simplify 1 into 1
2.189 * [taylor]: Taking taylor expansion of 0 in im
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify 1 into 1
2.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.190 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.191 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.191 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.191 * [taylor]: Taking taylor expansion of 1/2 in im
2.191 * [backup-simplify]: Simplify 1/2 into 1/2
2.191 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.191 * [taylor]: Taking taylor expansion of im in im
2.191 * [backup-simplify]: Simplify 0 into 0
2.191 * [backup-simplify]: Simplify 1 into 1
2.192 * [backup-simplify]: Simplify (* 1 1) into 1
2.192 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.194 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.195 * [backup-simplify]: Simplify (+ 0 0) into 0
2.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.195 * [taylor]: Taking taylor expansion of 0 in im
2.195 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.198 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.198 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.198 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.198 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.198 * [taylor]: Taking taylor expansion of re in im
2.198 * [backup-simplify]: Simplify re into re
2.198 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.198 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.198 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.198 * [taylor]: Taking taylor expansion of im in im
2.198 * [backup-simplify]: Simplify 0 into 0
2.198 * [backup-simplify]: Simplify 1 into 1
2.199 * [backup-simplify]: Simplify (* 1 1) into 1
2.199 * [backup-simplify]: Simplify (/ 1 1) into 1
2.200 * [backup-simplify]: Simplify (+ 0 1) into 1
2.200 * [backup-simplify]: Simplify (sqrt 1) into 1
2.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.202 * [backup-simplify]: Simplify (+ 0 0) into 0
2.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.203 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.203 * [taylor]: Taking taylor expansion of re in re
2.203 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify 1 into 1
2.203 * [backup-simplify]: Simplify (* 1 1) into 1
2.204 * [backup-simplify]: Simplify (/ 1 1) into 1
2.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.204 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.204 * [taylor]: Taking taylor expansion of im in re
2.204 * [backup-simplify]: Simplify im into im
2.204 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.204 * [backup-simplify]: Simplify (+ 1 0) into 1
2.205 * [backup-simplify]: Simplify (sqrt 1) into 1
2.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.207 * [backup-simplify]: Simplify (+ 0 0) into 0
2.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.208 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.208 * [taylor]: Taking taylor expansion of re in re
2.208 * [backup-simplify]: Simplify 0 into 0
2.208 * [backup-simplify]: Simplify 1 into 1
2.208 * [backup-simplify]: Simplify (* 1 1) into 1
2.209 * [backup-simplify]: Simplify (/ 1 1) into 1
2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.209 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.209 * [taylor]: Taking taylor expansion of im in re
2.209 * [backup-simplify]: Simplify im into im
2.209 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.210 * [backup-simplify]: Simplify (+ 1 0) into 1
2.210 * [backup-simplify]: Simplify (sqrt 1) into 1
2.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.211 * [backup-simplify]: Simplify (+ 0 0) into 0
2.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.212 * [taylor]: Taking taylor expansion of 1 in im
2.212 * [backup-simplify]: Simplify 1 into 1
2.212 * [taylor]: Taking taylor expansion of 0 in im
2.212 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify 1 into 1
2.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.213 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.214 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.214 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.214 * [taylor]: Taking taylor expansion of 1/2 in im
2.214 * [backup-simplify]: Simplify 1/2 into 1/2
2.214 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.214 * [taylor]: Taking taylor expansion of im in im
2.214 * [backup-simplify]: Simplify 0 into 0
2.214 * [backup-simplify]: Simplify 1 into 1
2.214 * [backup-simplify]: Simplify (* 1 1) into 1
2.214 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.215 * [backup-simplify]: Simplify 0 into 0
2.215 * [backup-simplify]: Simplify 0 into 0
2.216 * [backup-simplify]: Simplify 0 into 0
2.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.217 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.217 * [backup-simplify]: Simplify (+ 0 0) into 0
2.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.218 * [taylor]: Taking taylor expansion of 0 in im
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.219 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1)
2.219 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.219 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.219 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.219 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.219 * [taylor]: Taking taylor expansion of im in im
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 1 into 1
2.219 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.219 * [taylor]: Taking taylor expansion of re in im
2.219 * [backup-simplify]: Simplify re into re
2.219 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.219 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.219 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.219 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.220 * [backup-simplify]: Simplify (+ 0 0) into 0
2.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.220 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.220 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.220 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.220 * [taylor]: Taking taylor expansion of im in re
2.220 * [backup-simplify]: Simplify im into im
2.220 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.220 * [taylor]: Taking taylor expansion of re in re
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 1 into 1
2.220 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.220 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.220 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.220 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.220 * [backup-simplify]: Simplify (+ 0 0) into 0
2.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.220 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.220 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.220 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.220 * [taylor]: Taking taylor expansion of im in re
2.221 * [backup-simplify]: Simplify im into im
2.221 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.221 * [taylor]: Taking taylor expansion of re in re
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 1 into 1
2.221 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.221 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.221 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.221 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.221 * [backup-simplify]: Simplify (+ 0 0) into 0
2.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.221 * [taylor]: Taking taylor expansion of im in im
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 1 into 1
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [taylor]: Taking taylor expansion of 0 in im
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 1 into 1
2.222 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.222 * [backup-simplify]: Simplify (* 1 1) into 1
2.222 * [backup-simplify]: Simplify (+ 0 1) into 1
2.223 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.223 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.223 * [taylor]: Taking taylor expansion of 1/2 in im
2.223 * [backup-simplify]: Simplify 1/2 into 1/2
2.223 * [taylor]: Taking taylor expansion of im in im
2.223 * [backup-simplify]: Simplify 0 into 0
2.223 * [backup-simplify]: Simplify 1 into 1
2.223 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 0 into 0
2.227 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.227 * [backup-simplify]: Simplify (+ 0 0) into 0
2.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.228 * [taylor]: Taking taylor expansion of 0 in im
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.228 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.228 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.229 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.229 * [taylor]: Taking taylor expansion of re in im
2.229 * [backup-simplify]: Simplify re into re
2.229 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.229 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.229 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.229 * [taylor]: Taking taylor expansion of im in im
2.229 * [backup-simplify]: Simplify 0 into 0
2.229 * [backup-simplify]: Simplify 1 into 1
2.229 * [backup-simplify]: Simplify (* 1 1) into 1
2.229 * [backup-simplify]: Simplify (/ 1 1) into 1
2.230 * [backup-simplify]: Simplify (+ 0 1) into 1
2.230 * [backup-simplify]: Simplify (sqrt 1) into 1
2.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.231 * [backup-simplify]: Simplify (+ 0 0) into 0
2.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.232 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.232 * [taylor]: Taking taylor expansion of re in re
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify 1 into 1
2.232 * [backup-simplify]: Simplify (* 1 1) into 1
2.232 * [backup-simplify]: Simplify (/ 1 1) into 1
2.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.232 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.232 * [taylor]: Taking taylor expansion of im in re
2.232 * [backup-simplify]: Simplify im into im
2.232 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.232 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.233 * [backup-simplify]: Simplify (+ 1 0) into 1
2.233 * [backup-simplify]: Simplify (sqrt 1) into 1
2.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.234 * [backup-simplify]: Simplify (+ 0 0) into 0
2.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.235 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.235 * [taylor]: Taking taylor expansion of re in re
2.235 * [backup-simplify]: Simplify 0 into 0
2.235 * [backup-simplify]: Simplify 1 into 1
2.235 * [backup-simplify]: Simplify (* 1 1) into 1
2.235 * [backup-simplify]: Simplify (/ 1 1) into 1
2.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.235 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.235 * [taylor]: Taking taylor expansion of im in re
2.235 * [backup-simplify]: Simplify im into im
2.235 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.235 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.236 * [backup-simplify]: Simplify (+ 1 0) into 1
2.236 * [backup-simplify]: Simplify (sqrt 1) into 1
2.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.237 * [backup-simplify]: Simplify (+ 0 0) into 0
2.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.238 * [taylor]: Taking taylor expansion of 1 in im
2.238 * [backup-simplify]: Simplify 1 into 1
2.238 * [taylor]: Taking taylor expansion of 0 in im
2.238 * [backup-simplify]: Simplify 0 into 0
2.238 * [backup-simplify]: Simplify 1 into 1
2.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.239 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.240 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.240 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.240 * [taylor]: Taking taylor expansion of 1/2 in im
2.240 * [backup-simplify]: Simplify 1/2 into 1/2
2.240 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.240 * [taylor]: Taking taylor expansion of im in im
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify 1 into 1
2.240 * [backup-simplify]: Simplify (* 1 1) into 1
2.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.242 * [backup-simplify]: Simplify 0 into 0
2.242 * [backup-simplify]: Simplify 0 into 0
2.242 * [backup-simplify]: Simplify 0 into 0
2.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.243 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.243 * [backup-simplify]: Simplify (+ 0 0) into 0
2.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.244 * [taylor]: Taking taylor expansion of 0 in im
2.244 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.245 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.245 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.245 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.245 * [taylor]: Taking taylor expansion of re in im
2.245 * [backup-simplify]: Simplify re into re
2.245 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.245 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.245 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.245 * [taylor]: Taking taylor expansion of im in im
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify 1 into 1
2.246 * [backup-simplify]: Simplify (* 1 1) into 1
2.246 * [backup-simplify]: Simplify (/ 1 1) into 1
2.246 * [backup-simplify]: Simplify (+ 0 1) into 1
2.246 * [backup-simplify]: Simplify (sqrt 1) into 1
2.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.247 * [backup-simplify]: Simplify (+ 0 0) into 0
2.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.248 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.248 * [taylor]: Taking taylor expansion of re in re
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 1 into 1
2.248 * [backup-simplify]: Simplify (* 1 1) into 1
2.249 * [backup-simplify]: Simplify (/ 1 1) into 1
2.249 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.249 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.249 * [taylor]: Taking taylor expansion of im in re
2.249 * [backup-simplify]: Simplify im into im
2.249 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.249 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.249 * [backup-simplify]: Simplify (+ 1 0) into 1
2.249 * [backup-simplify]: Simplify (sqrt 1) into 1
2.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.250 * [backup-simplify]: Simplify (+ 0 0) into 0
2.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.251 * [taylor]: Taking taylor expansion of re in re
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify 1 into 1
2.251 * [backup-simplify]: Simplify (* 1 1) into 1
2.251 * [backup-simplify]: Simplify (/ 1 1) into 1
2.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.251 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.251 * [taylor]: Taking taylor expansion of im in re
2.251 * [backup-simplify]: Simplify im into im
2.251 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.252 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.252 * [backup-simplify]: Simplify (+ 1 0) into 1
2.252 * [backup-simplify]: Simplify (sqrt 1) into 1
2.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.253 * [backup-simplify]: Simplify (+ 0 0) into 0
2.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.254 * [taylor]: Taking taylor expansion of 1 in im
2.254 * [backup-simplify]: Simplify 1 into 1
2.254 * [taylor]: Taking taylor expansion of 0 in im
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify 1 into 1
2.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.255 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.256 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.256 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.256 * [taylor]: Taking taylor expansion of 1/2 in im
2.256 * [backup-simplify]: Simplify 1/2 into 1/2
2.256 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.256 * [taylor]: Taking taylor expansion of im in im
2.256 * [backup-simplify]: Simplify 0 into 0
2.256 * [backup-simplify]: Simplify 1 into 1
2.256 * [backup-simplify]: Simplify (* 1 1) into 1
2.256 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.257 * [backup-simplify]: Simplify 0 into 0
2.257 * [backup-simplify]: Simplify 0 into 0
2.257 * [backup-simplify]: Simplify 0 into 0
2.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.259 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.259 * [backup-simplify]: Simplify (+ 0 0) into 0
2.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.260 * [taylor]: Taking taylor expansion of 0 in im
2.260 * [backup-simplify]: Simplify 0 into 0
2.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.261 * [backup-simplify]: Simplify 0 into 0
2.261 * [backup-simplify]: Simplify 0 into 0
2.261 * [backup-simplify]: Simplify 0 into 0
2.261 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.262 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1)
2.262 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.262 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.262 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.262 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.262 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.262 * [taylor]: Taking taylor expansion of im in im
2.262 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify 1 into 1
2.262 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.262 * [taylor]: Taking taylor expansion of re in im
2.262 * [backup-simplify]: Simplify re into re
2.262 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.262 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.262 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.262 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.263 * [backup-simplify]: Simplify (+ 0 0) into 0
2.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.263 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.263 * [taylor]: Taking taylor expansion of im in re
2.263 * [backup-simplify]: Simplify im into im
2.263 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.263 * [taylor]: Taking taylor expansion of re in re
2.263 * [backup-simplify]: Simplify 0 into 0
2.263 * [backup-simplify]: Simplify 1 into 1
2.263 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.263 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.263 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.263 * [backup-simplify]: Simplify (+ 0 0) into 0
2.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.263 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.263 * [taylor]: Taking taylor expansion of im in re
2.263 * [backup-simplify]: Simplify im into im
2.263 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.263 * [taylor]: Taking taylor expansion of re in re
2.263 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 1 into 1
2.264 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.264 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.264 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.264 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.264 * [backup-simplify]: Simplify (+ 0 0) into 0
2.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.264 * [taylor]: Taking taylor expansion of im in im
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 1 into 1
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [taylor]: Taking taylor expansion of 0 in im
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 1 into 1
2.265 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.265 * [backup-simplify]: Simplify (* 1 1) into 1
2.265 * [backup-simplify]: Simplify (+ 0 1) into 1
2.266 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.266 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.266 * [taylor]: Taking taylor expansion of 1/2 in im
2.266 * [backup-simplify]: Simplify 1/2 into 1/2
2.266 * [taylor]: Taking taylor expansion of im in im
2.266 * [backup-simplify]: Simplify 0 into 0
2.266 * [backup-simplify]: Simplify 1 into 1
2.266 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.268 * [backup-simplify]: Simplify (+ 0 0) into 0
2.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.268 * [taylor]: Taking taylor expansion of 0 in im
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.269 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.269 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.269 * [taylor]: Taking taylor expansion of re in im
2.269 * [backup-simplify]: Simplify re into re
2.269 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.269 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.269 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.269 * [taylor]: Taking taylor expansion of im in im
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify 1 into 1
2.269 * [backup-simplify]: Simplify (* 1 1) into 1
2.270 * [backup-simplify]: Simplify (/ 1 1) into 1
2.270 * [backup-simplify]: Simplify (+ 0 1) into 1
2.270 * [backup-simplify]: Simplify (sqrt 1) into 1
2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.271 * [backup-simplify]: Simplify (+ 0 0) into 0
2.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.272 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.272 * [taylor]: Taking taylor expansion of re in re
2.272 * [backup-simplify]: Simplify 0 into 0
2.272 * [backup-simplify]: Simplify 1 into 1
2.272 * [backup-simplify]: Simplify (* 1 1) into 1
2.272 * [backup-simplify]: Simplify (/ 1 1) into 1
2.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.272 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.272 * [taylor]: Taking taylor expansion of im in re
2.272 * [backup-simplify]: Simplify im into im
2.272 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.272 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.273 * [backup-simplify]: Simplify (+ 1 0) into 1
2.273 * [backup-simplify]: Simplify (sqrt 1) into 1
2.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.274 * [backup-simplify]: Simplify (+ 0 0) into 0
2.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.275 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.275 * [taylor]: Taking taylor expansion of re in re
2.275 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify 1 into 1
2.276 * [backup-simplify]: Simplify (* 1 1) into 1
2.276 * [backup-simplify]: Simplify (/ 1 1) into 1
2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.276 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.276 * [taylor]: Taking taylor expansion of im in re
2.276 * [backup-simplify]: Simplify im into im
2.276 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.277 * [backup-simplify]: Simplify (+ 1 0) into 1
2.278 * [backup-simplify]: Simplify (sqrt 1) into 1
2.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.279 * [backup-simplify]: Simplify (+ 0 0) into 0
2.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.280 * [taylor]: Taking taylor expansion of 1 in im
2.280 * [backup-simplify]: Simplify 1 into 1
2.280 * [taylor]: Taking taylor expansion of 0 in im
2.280 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify 1 into 1
2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.282 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.284 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.284 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.284 * [taylor]: Taking taylor expansion of 1/2 in im
2.284 * [backup-simplify]: Simplify 1/2 into 1/2
2.284 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.284 * [taylor]: Taking taylor expansion of im in im
2.284 * [backup-simplify]: Simplify 0 into 0
2.284 * [backup-simplify]: Simplify 1 into 1
2.285 * [backup-simplify]: Simplify (* 1 1) into 1
2.285 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.289 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.289 * [backup-simplify]: Simplify (+ 0 0) into 0
2.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.290 * [taylor]: Taking taylor expansion of 0 in im
2.290 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.292 * [backup-simplify]: Simplify 0 into 0
2.292 * [backup-simplify]: Simplify 0 into 0
2.292 * [backup-simplify]: Simplify 0 into 0
2.292 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.293 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.293 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.293 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.293 * [taylor]: Taking taylor expansion of re in im
2.293 * [backup-simplify]: Simplify re into re
2.293 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.293 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.293 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.293 * [taylor]: Taking taylor expansion of im in im
2.293 * [backup-simplify]: Simplify 0 into 0
2.293 * [backup-simplify]: Simplify 1 into 1
2.293 * [backup-simplify]: Simplify (* 1 1) into 1
2.294 * [backup-simplify]: Simplify (/ 1 1) into 1
2.294 * [backup-simplify]: Simplify (+ 0 1) into 1
2.295 * [backup-simplify]: Simplify (sqrt 1) into 1
2.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.296 * [backup-simplify]: Simplify (+ 0 0) into 0
2.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.297 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.297 * [taylor]: Taking taylor expansion of re in re
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify 1 into 1
2.298 * [backup-simplify]: Simplify (* 1 1) into 1
2.298 * [backup-simplify]: Simplify (/ 1 1) into 1
2.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.298 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.298 * [taylor]: Taking taylor expansion of im in re
2.298 * [backup-simplify]: Simplify im into im
2.298 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.298 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.299 * [backup-simplify]: Simplify (+ 1 0) into 1
2.299 * [backup-simplify]: Simplify (sqrt 1) into 1
2.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.301 * [backup-simplify]: Simplify (+ 0 0) into 0
2.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.302 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.302 * [taylor]: Taking taylor expansion of re in re
2.302 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify 1 into 1
2.302 * [backup-simplify]: Simplify (* 1 1) into 1
2.302 * [backup-simplify]: Simplify (/ 1 1) into 1
2.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.303 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.303 * [taylor]: Taking taylor expansion of im in re
2.303 * [backup-simplify]: Simplify im into im
2.303 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.303 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.303 * [backup-simplify]: Simplify (+ 1 0) into 1
2.304 * [backup-simplify]: Simplify (sqrt 1) into 1
2.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.305 * [backup-simplify]: Simplify (+ 0 0) into 0
2.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.306 * [taylor]: Taking taylor expansion of 1 in im
2.306 * [backup-simplify]: Simplify 1 into 1
2.306 * [taylor]: Taking taylor expansion of 0 in im
2.306 * [backup-simplify]: Simplify 0 into 0
2.306 * [backup-simplify]: Simplify 1 into 1
2.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.309 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.310 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.310 * [taylor]: Taking taylor expansion of 1/2 in im
2.310 * [backup-simplify]: Simplify 1/2 into 1/2
2.310 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.310 * [taylor]: Taking taylor expansion of im in im
2.310 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify 1 into 1
2.310 * [backup-simplify]: Simplify (* 1 1) into 1
2.311 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 0 into 0
2.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.315 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.315 * [backup-simplify]: Simplify (+ 0 0) into 0
2.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.316 * [taylor]: Taking taylor expansion of 0 in im
2.316 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.318 * [backup-simplify]: Simplify 0 into 0
2.318 * [backup-simplify]: Simplify 0 into 0
2.318 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.319 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
2.319 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
2.319 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
2.319 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
2.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.319 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.319 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.320 * [taylor]: Taking taylor expansion of im in im
2.320 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify 1 into 1
2.320 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.320 * [taylor]: Taking taylor expansion of re in im
2.320 * [backup-simplify]: Simplify re into re
2.320 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.320 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.320 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.320 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.321 * [backup-simplify]: Simplify (+ 0 0) into 0
2.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.321 * [taylor]: Taking taylor expansion of re in im
2.321 * [backup-simplify]: Simplify re into re
2.321 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
2.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.321 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.321 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.321 * [taylor]: Taking taylor expansion of im in re
2.321 * [backup-simplify]: Simplify im into im
2.321 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.321 * [taylor]: Taking taylor expansion of re in re
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.321 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.321 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.321 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.322 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.322 * [backup-simplify]: Simplify (+ 0 0) into 0
2.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.322 * [taylor]: Taking taylor expansion of re in re
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify 1 into 1
2.322 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
2.322 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.322 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.322 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.322 * [taylor]: Taking taylor expansion of im in re
2.322 * [backup-simplify]: Simplify im into im
2.322 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.322 * [taylor]: Taking taylor expansion of re in re
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify 1 into 1
2.323 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.323 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.323 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.323 * [backup-simplify]: Simplify (+ 0 0) into 0
2.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.323 * [taylor]: Taking taylor expansion of re in re
2.323 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify 1 into 1
2.324 * [backup-simplify]: Simplify (- 0) into 0
2.324 * [backup-simplify]: Simplify (+ im 0) into im
2.324 * [taylor]: Taking taylor expansion of im in im
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify 1 into 1
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify (- 1) into -1
2.325 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.325 * [taylor]: Taking taylor expansion of -1 in im
2.325 * [backup-simplify]: Simplify -1 into -1
2.325 * [backup-simplify]: Simplify -1 into -1
2.325 * [backup-simplify]: Simplify 1 into 1
2.326 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.326 * [backup-simplify]: Simplify (* 1 1) into 1
2.326 * [backup-simplify]: Simplify (+ 0 1) into 1
2.327 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.328 * [backup-simplify]: Simplify (- 0) into 0
2.328 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.328 * [taylor]: Taking taylor expansion of 1/2 in im
2.328 * [backup-simplify]: Simplify 1/2 into 1/2
2.328 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.328 * [taylor]: Taking taylor expansion of im in im
2.328 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify 1 into 1
2.328 * [backup-simplify]: Simplify (/ 1 1) into 1
2.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.332 * [backup-simplify]: Simplify (+ 0 0) into 0
2.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.332 * [backup-simplify]: Simplify (- 0) into 0
2.332 * [backup-simplify]: Simplify (+ 0 0) into 0
2.333 * [taylor]: Taking taylor expansion of 0 in im
2.333 * [backup-simplify]: Simplify 0 into 0
2.333 * [backup-simplify]: Simplify 0 into 0
2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.335 * [backup-simplify]: Simplify 0 into 0
2.335 * [backup-simplify]: Simplify 0 into 0
2.335 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
2.336 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
2.336 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
2.336 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.336 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.336 * [taylor]: Taking taylor expansion of re in im
2.336 * [backup-simplify]: Simplify re into re
2.336 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.336 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.337 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.337 * [taylor]: Taking taylor expansion of im in im
2.337 * [backup-simplify]: Simplify 0 into 0
2.337 * [backup-simplify]: Simplify 1 into 1
2.337 * [backup-simplify]: Simplify (* 1 1) into 1
2.338 * [backup-simplify]: Simplify (/ 1 1) into 1
2.338 * [backup-simplify]: Simplify (+ 0 1) into 1
2.338 * [backup-simplify]: Simplify (sqrt 1) into 1
2.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.340 * [backup-simplify]: Simplify (+ 0 0) into 0
2.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.341 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.341 * [taylor]: Taking taylor expansion of re in im
2.341 * [backup-simplify]: Simplify re into re
2.341 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.341 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.341 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.341 * [taylor]: Taking taylor expansion of re in re
2.341 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify 1 into 1
2.342 * [backup-simplify]: Simplify (* 1 1) into 1
2.342 * [backup-simplify]: Simplify (/ 1 1) into 1
2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.342 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.342 * [taylor]: Taking taylor expansion of im in re
2.342 * [backup-simplify]: Simplify im into im
2.342 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.342 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.343 * [backup-simplify]: Simplify (+ 1 0) into 1
2.343 * [backup-simplify]: Simplify (sqrt 1) into 1
2.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.345 * [backup-simplify]: Simplify (+ 0 0) into 0
2.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.346 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.346 * [taylor]: Taking taylor expansion of re in re
2.346 * [backup-simplify]: Simplify 0 into 0
2.346 * [backup-simplify]: Simplify 1 into 1
2.346 * [backup-simplify]: Simplify (/ 1 1) into 1
2.346 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.346 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.346 * [taylor]: Taking taylor expansion of re in re
2.346 * [backup-simplify]: Simplify 0 into 0
2.346 * [backup-simplify]: Simplify 1 into 1
2.347 * [backup-simplify]: Simplify (* 1 1) into 1
2.351 * [backup-simplify]: Simplify (/ 1 1) into 1
2.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.351 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.351 * [taylor]: Taking taylor expansion of im in re
2.351 * [backup-simplify]: Simplify im into im
2.351 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.352 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.352 * [backup-simplify]: Simplify (+ 1 0) into 1
2.353 * [backup-simplify]: Simplify (sqrt 1) into 1
2.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.355 * [backup-simplify]: Simplify (+ 0 0) into 0
2.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.355 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.355 * [taylor]: Taking taylor expansion of re in re
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [backup-simplify]: Simplify (/ 1 1) into 1
2.356 * [backup-simplify]: Simplify (- 1) into -1
2.357 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.357 * [taylor]: Taking taylor expansion of 0 in im
2.357 * [backup-simplify]: Simplify 0 into 0
2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.358 * [backup-simplify]: Simplify (- 0) into 0
2.358 * [backup-simplify]: Simplify (+ 0 0) into 0
2.358 * [taylor]: Taking taylor expansion of 0 in im
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.360 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.362 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.363 * [backup-simplify]: Simplify (- 0) into 0
2.363 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.363 * [taylor]: Taking taylor expansion of 1/2 in im
2.363 * [backup-simplify]: Simplify 1/2 into 1/2
2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.363 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.363 * [taylor]: Taking taylor expansion of im in im
2.363 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify 1 into 1
2.364 * [backup-simplify]: Simplify (* 1 1) into 1
2.364 * [backup-simplify]: Simplify (/ 1 1) into 1
2.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify 0 into 0
2.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.368 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.369 * [backup-simplify]: Simplify (+ 0 0) into 0
2.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.371 * [backup-simplify]: Simplify (- 0) into 0
2.371 * [backup-simplify]: Simplify (+ 0 0) into 0
2.371 * [taylor]: Taking taylor expansion of 0 in im
2.371 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.374 * [backup-simplify]: Simplify 0 into 0
2.374 * [backup-simplify]: Simplify 0 into 0
2.374 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
2.376 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
2.376 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.376 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.376 * [taylor]: Taking taylor expansion of re in im
2.376 * [backup-simplify]: Simplify re into re
2.376 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.376 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.376 * [taylor]: Taking taylor expansion of re in im
2.376 * [backup-simplify]: Simplify re into re
2.376 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.376 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.376 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.376 * [taylor]: Taking taylor expansion of im in im
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify 1 into 1
2.377 * [backup-simplify]: Simplify (* 1 1) into 1
2.377 * [backup-simplify]: Simplify (/ 1 1) into 1
2.378 * [backup-simplify]: Simplify (+ 0 1) into 1
2.378 * [backup-simplify]: Simplify (sqrt 1) into 1
2.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.380 * [backup-simplify]: Simplify (+ 0 0) into 0
2.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.381 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.381 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.381 * [taylor]: Taking taylor expansion of re in re
2.381 * [backup-simplify]: Simplify 0 into 0
2.381 * [backup-simplify]: Simplify 1 into 1
2.381 * [backup-simplify]: Simplify (/ 1 1) into 1
2.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.382 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.382 * [taylor]: Taking taylor expansion of re in re
2.382 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify 1 into 1
2.382 * [backup-simplify]: Simplify (* 1 1) into 1
2.382 * [backup-simplify]: Simplify (/ 1 1) into 1
2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.382 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.383 * [taylor]: Taking taylor expansion of im in re
2.383 * [backup-simplify]: Simplify im into im
2.383 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.383 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.383 * [backup-simplify]: Simplify (+ 1 0) into 1
2.384 * [backup-simplify]: Simplify (sqrt 1) into 1
2.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.386 * [backup-simplify]: Simplify (+ 0 0) into 0
2.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.387 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.387 * [taylor]: Taking taylor expansion of re in re
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.388 * [backup-simplify]: Simplify (/ 1 1) into 1
2.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.388 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.388 * [taylor]: Taking taylor expansion of re in re
2.388 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify 1 into 1
2.388 * [backup-simplify]: Simplify (* 1 1) into 1
2.389 * [backup-simplify]: Simplify (/ 1 1) into 1
2.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.389 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.389 * [taylor]: Taking taylor expansion of im in re
2.389 * [backup-simplify]: Simplify im into im
2.389 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.389 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.389 * [backup-simplify]: Simplify (+ 1 0) into 1
2.390 * [backup-simplify]: Simplify (sqrt 1) into 1
2.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.392 * [backup-simplify]: Simplify (+ 0 0) into 0
2.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.393 * [backup-simplify]: Simplify (+ 1 1) into 2
2.393 * [taylor]: Taking taylor expansion of 2 in im
2.393 * [backup-simplify]: Simplify 2 into 2
2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.394 * [backup-simplify]: Simplify (+ 0 0) into 0
2.394 * [taylor]: Taking taylor expansion of 0 in im
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 2 into 2
2.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.397 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.398 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.398 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.398 * [taylor]: Taking taylor expansion of 1/2 in im
2.398 * [backup-simplify]: Simplify 1/2 into 1/2
2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.398 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.398 * [taylor]: Taking taylor expansion of im in im
2.398 * [backup-simplify]: Simplify 0 into 0
2.398 * [backup-simplify]: Simplify 1 into 1
2.399 * [backup-simplify]: Simplify (* 1 1) into 1
2.399 * [backup-simplify]: Simplify (/ 1 1) into 1
2.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify 0 into 0
2.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.405 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.405 * [backup-simplify]: Simplify (+ 0 0) into 0
2.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.406 * [backup-simplify]: Simplify (+ 0 0) into 0
2.406 * [taylor]: Taking taylor expansion of 0 in im
2.406 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
2.409 * * * [progress]: simplifying candidates
2.409 * * * * [progress]: [ 1 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) 1/2))) re)))))>
2.410 * * * * [progress]: [ 2 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (sqrt (+ (* re re) (* im im))) 1))) re)))))>
2.410 * * * * [progress]: [ 3 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))>
2.410 * * * * [progress]: [ 4 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (log (exp (sqrt (+ (* re re) (* im im))))))) re)))))>
2.410 * * * * [progress]: [ 5 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
2.410 * * * * [progress]: [ 6 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))) re)))))>
2.410 * * * * [progress]: [ 7 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))>
2.410 * * * * [progress]: [ 8 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
2.410 * * * * [progress]: [ 9 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))) re)))))>
2.410 * * * * [progress]: [ 10 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
2.410 * * * * [progress]: [ 11 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re)))))>
2.410 * * * * [progress]: [ 12 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re)))))>
2.410 * * * * [progress]: [ 13 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
2.410 * * * * [progress]: [ 14 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) re)))))>
2.411 * * * * [progress]: [ 15 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) re)))))>
2.411 * * * * [progress]: [ 16 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))>
2.411 * * * * [progress]: [ 17 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) 1/2))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.411 * * * * [progress]: [ 18 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (sqrt (+ (* re re) (* im im))) 1))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.411 * * * * [progress]: [ 19 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.411 * * * * [progress]: [ 20 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (log (exp (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.411 * * * * [progress]: [ 21 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.411 * * * * [progress]: [ 22 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.411 * * * * [progress]: [ 23 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.411 * * * * [progress]: [ 24 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.411 * * * * [progress]: [ 25 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.411 * * * * [progress]: [ 26 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 27 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 28 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 29 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 30 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 31 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 32 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 33 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (pow (+ (* re re) (* im im)) 1/2)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 34 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (pow (sqrt (+ (* re re) (* im im))) 1)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 35 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 36 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (log (exp (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 37 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 38 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.412 * * * * [progress]: [ 39 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.413 * * * * [progress]: [ 40 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.413 * * * * [progress]: [ 41 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.413 * * * * [progress]: [ 42 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.413 * * * * [progress]: [ 43 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.413 * * * * [progress]: [ 44 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (pow (+ (* re re) (* im im)) (/ 1 2))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.413 * * * * [progress]: [ 45 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.413 * * * * [progress]: [ 46 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (fabs (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.413 * * * * [progress]: [ 47 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (* 1 (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.413 * * * * [progress]: [ 48 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.413 * * * * [progress]: [ 49 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (/ (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)))))))>
2.413 * * * * [progress]: [ 50 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 1)))))>
2.413 * * * * [progress]: [ 51 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
2.413 * * * * [progress]: [ 52 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
2.414 * * * * [progress]: [ 53 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
2.414 * * * * [progress]: [ 54 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
2.414 * * * * [progress]: [ 55 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
2.414 * * * * [progress]: [ 56 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))))>
2.414 * * * * [progress]: [ 57 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (- re))))))>
2.414 * * * * [progress]: [ 58 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))>
2.414 * * * * [progress]: [ 59 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))>
2.414 * * * * [progress]: [ 60 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (- re))))))>
2.414 * * * * [progress]: [ 61 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
2.414 * * * * [progress]: [ 62 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt im)) re)))))>
2.414 * * * * [progress]: [ 63 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt re)) re)))))>
2.414 * * * * [progress]: [ 64 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* -1 re))) re)))))>
2.414 * * * * [progress]: [ 65 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.415 * * * * [progress]: [ 66 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.415 * * * * [progress]: [ 67 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* -1 re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.415 * * * * [progress]: [ 68 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt im) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.415 * * * * [progress]: [ 69 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt re) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.415 * * * * [progress]: [ 70 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (* -1 re)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.415 * * * * [progress]: [ 71 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
2.415 * * * * [progress]: [ 72 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
2.415 * * * * [progress]: [ 73 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>
2.416 * [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))))
  (real->posit16 (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))))
  (real->posit16 (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))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (/ (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (- (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))
  (- re)
  (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)
  (- re)
  (real->posit16 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
2.418 * * [simplify]: iteration 1: (66 enodes)
2.435 * * [simplify]: iteration 2: (151 enodes)
2.477 * * [simplify]: iteration 3: (339 enodes)
2.669 * * [simplify]: iteration 4: (866 enodes)
3.212 * * [simplify]: Extracting #0: cost 33 inf + 0
3.212 * * [simplify]: Extracting #1: cost 190 inf + 47
3.215 * * [simplify]: Extracting #2: cost 459 inf + 1127
3.225 * * [simplify]: Extracting #3: cost 541 inf + 17850
3.268 * * [simplify]: Extracting #4: cost 227 inf + 124970
3.318 * * [simplify]: Extracting #5: cost 22 inf + 230109
3.358 * * [simplify]: Extracting #6: cost 0 inf + 243813
3.397 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (- (sqrt (+ (* re re) (* im im))) re) (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re))
  (+ (+ (* re re) (* im im)) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (+ (* im im) 0)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (real->posit16 (- (sqrt (+ (* re re) (* im im))) re))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
3.407 * * * [progress]: adding candidates to table
4.568 * * [progress]: iteration 3 / 4
4.568 * * * [progress]: picking best candidate
4.575 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))>
4.575 * * * [progress]: localizing error
4.616 * * * [progress]: generating rewritten candidates
4.616 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1)
4.629 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
4.691 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
4.723 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2)
4.769 * * * [progress]: generating series expansions
4.769 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1)
4.769 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
4.769 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
4.769 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.769 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.769 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.769 * [taylor]: Taking taylor expansion of im in im
4.770 * [backup-simplify]: Simplify 0 into 0
4.770 * [backup-simplify]: Simplify 1 into 1
4.770 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.770 * [taylor]: Taking taylor expansion of re in im
4.770 * [backup-simplify]: Simplify re into re
4.770 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.770 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.770 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.770 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.771 * [backup-simplify]: Simplify (+ 0 0) into 0
4.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.771 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.771 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.771 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.771 * [taylor]: Taking taylor expansion of im in re
4.771 * [backup-simplify]: Simplify im into im
4.771 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.771 * [taylor]: Taking taylor expansion of re in re
4.771 * [backup-simplify]: Simplify 0 into 0
4.771 * [backup-simplify]: Simplify 1 into 1
4.771 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.771 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.771 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.771 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.772 * [backup-simplify]: Simplify (+ 0 0) into 0
4.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.772 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.772 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.772 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.772 * [taylor]: Taking taylor expansion of im in re
4.772 * [backup-simplify]: Simplify im into im
4.772 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.772 * [taylor]: Taking taylor expansion of re in re
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify 1 into 1
4.772 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.773 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.773 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.773 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.773 * [backup-simplify]: Simplify (+ 0 0) into 0
4.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.773 * [taylor]: Taking taylor expansion of im in im
4.773 * [backup-simplify]: Simplify 0 into 0
4.774 * [backup-simplify]: Simplify 1 into 1
4.774 * [backup-simplify]: Simplify 0 into 0
4.774 * [taylor]: Taking taylor expansion of 0 in im
4.774 * [backup-simplify]: Simplify 0 into 0
4.774 * [backup-simplify]: Simplify 0 into 0
4.774 * [backup-simplify]: Simplify 1 into 1
4.774 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.775 * [backup-simplify]: Simplify (* 1 1) into 1
4.775 * [backup-simplify]: Simplify (+ 0 1) into 1
4.776 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.776 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.776 * [taylor]: Taking taylor expansion of 1/2 in im
4.776 * [backup-simplify]: Simplify 1/2 into 1/2
4.776 * [taylor]: Taking taylor expansion of im in im
4.776 * [backup-simplify]: Simplify 0 into 0
4.777 * [backup-simplify]: Simplify 1 into 1
4.777 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.778 * [backup-simplify]: Simplify 0 into 0
4.778 * [backup-simplify]: Simplify 0 into 0
4.778 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.780 * [backup-simplify]: Simplify (+ 0 0) into 0
4.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.780 * [taylor]: Taking taylor expansion of 0 in im
4.780 * [backup-simplify]: Simplify 0 into 0
4.780 * [backup-simplify]: Simplify 0 into 0
4.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.781 * [backup-simplify]: Simplify 0 into 0
4.781 * [backup-simplify]: Simplify 0 into 0
4.781 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.782 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
4.782 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.782 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.782 * [taylor]: Taking taylor expansion of re in im
4.782 * [backup-simplify]: Simplify re into re
4.782 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.782 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.782 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.782 * [taylor]: Taking taylor expansion of im in im
4.782 * [backup-simplify]: Simplify 0 into 0
4.782 * [backup-simplify]: Simplify 1 into 1
4.783 * [backup-simplify]: Simplify (* 1 1) into 1
4.783 * [backup-simplify]: Simplify (/ 1 1) into 1
4.783 * [backup-simplify]: Simplify (+ 0 1) into 1
4.784 * [backup-simplify]: Simplify (sqrt 1) into 1
4.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.786 * [backup-simplify]: Simplify (+ 0 0) into 0
4.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.786 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.786 * [taylor]: Taking taylor expansion of re in re
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 1 into 1
4.787 * [backup-simplify]: Simplify (* 1 1) into 1
4.787 * [backup-simplify]: Simplify (/ 1 1) into 1
4.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.787 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.787 * [taylor]: Taking taylor expansion of im in re
4.787 * [backup-simplify]: Simplify im into im
4.787 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.788 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.788 * [backup-simplify]: Simplify (+ 1 0) into 1
4.788 * [backup-simplify]: Simplify (sqrt 1) into 1
4.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.790 * [backup-simplify]: Simplify (+ 0 0) into 0
4.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.791 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.791 * [taylor]: Taking taylor expansion of re in re
4.791 * [backup-simplify]: Simplify 0 into 0
4.791 * [backup-simplify]: Simplify 1 into 1
4.791 * [backup-simplify]: Simplify (* 1 1) into 1
4.792 * [backup-simplify]: Simplify (/ 1 1) into 1
4.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.792 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.792 * [taylor]: Taking taylor expansion of im in re
4.792 * [backup-simplify]: Simplify im into im
4.792 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.792 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.793 * [backup-simplify]: Simplify (+ 1 0) into 1
4.793 * [backup-simplify]: Simplify (sqrt 1) into 1
4.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.795 * [backup-simplify]: Simplify (+ 0 0) into 0
4.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.796 * [taylor]: Taking taylor expansion of 1 in im
4.796 * [backup-simplify]: Simplify 1 into 1
4.796 * [taylor]: Taking taylor expansion of 0 in im
4.796 * [backup-simplify]: Simplify 0 into 0
4.796 * [backup-simplify]: Simplify 1 into 1
4.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.798 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.799 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.799 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.799 * [taylor]: Taking taylor expansion of 1/2 in im
4.799 * [backup-simplify]: Simplify 1/2 into 1/2
4.799 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.799 * [taylor]: Taking taylor expansion of im in im
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify 1 into 1
4.800 * [backup-simplify]: Simplify (* 1 1) into 1
4.800 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.802 * [backup-simplify]: Simplify 0 into 0
4.802 * [backup-simplify]: Simplify 0 into 0
4.802 * [backup-simplify]: Simplify 0 into 0
4.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.805 * [backup-simplify]: Simplify (+ 0 0) into 0
4.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.805 * [taylor]: Taking taylor expansion of 0 in im
4.805 * [backup-simplify]: Simplify 0 into 0
4.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.807 * [backup-simplify]: Simplify 0 into 0
4.807 * [backup-simplify]: Simplify 0 into 0
4.807 * [backup-simplify]: Simplify 0 into 0
4.807 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.808 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
4.808 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.808 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.808 * [taylor]: Taking taylor expansion of re in im
4.808 * [backup-simplify]: Simplify re into re
4.808 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.808 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.808 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.808 * [taylor]: Taking taylor expansion of im in im
4.808 * [backup-simplify]: Simplify 0 into 0
4.808 * [backup-simplify]: Simplify 1 into 1
4.809 * [backup-simplify]: Simplify (* 1 1) into 1
4.809 * [backup-simplify]: Simplify (/ 1 1) into 1
4.809 * [backup-simplify]: Simplify (+ 0 1) into 1
4.810 * [backup-simplify]: Simplify (sqrt 1) into 1
4.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.812 * [backup-simplify]: Simplify (+ 0 0) into 0
4.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.812 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.813 * [taylor]: Taking taylor expansion of re in re
4.813 * [backup-simplify]: Simplify 0 into 0
4.813 * [backup-simplify]: Simplify 1 into 1
4.813 * [backup-simplify]: Simplify (* 1 1) into 1
4.814 * [backup-simplify]: Simplify (/ 1 1) into 1
4.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.814 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.814 * [taylor]: Taking taylor expansion of im in re
4.814 * [backup-simplify]: Simplify im into im
4.814 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.814 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.814 * [backup-simplify]: Simplify (+ 1 0) into 1
4.815 * [backup-simplify]: Simplify (sqrt 1) into 1
4.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.817 * [backup-simplify]: Simplify (+ 0 0) into 0
4.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.817 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.817 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.817 * [taylor]: Taking taylor expansion of re in re
4.817 * [backup-simplify]: Simplify 0 into 0
4.817 * [backup-simplify]: Simplify 1 into 1
4.818 * [backup-simplify]: Simplify (* 1 1) into 1
4.818 * [backup-simplify]: Simplify (/ 1 1) into 1
4.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.818 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.818 * [taylor]: Taking taylor expansion of im in re
4.818 * [backup-simplify]: Simplify im into im
4.818 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.818 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.819 * [backup-simplify]: Simplify (+ 1 0) into 1
4.819 * [backup-simplify]: Simplify (sqrt 1) into 1
4.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.824 * [backup-simplify]: Simplify (+ 0 0) into 0
4.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.825 * [taylor]: Taking taylor expansion of 1 in im
4.825 * [backup-simplify]: Simplify 1 into 1
4.825 * [taylor]: Taking taylor expansion of 0 in im
4.825 * [backup-simplify]: Simplify 0 into 0
4.825 * [backup-simplify]: Simplify 1 into 1
4.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.827 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.829 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.829 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.829 * [taylor]: Taking taylor expansion of 1/2 in im
4.829 * [backup-simplify]: Simplify 1/2 into 1/2
4.829 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.829 * [taylor]: Taking taylor expansion of im in im
4.829 * [backup-simplify]: Simplify 0 into 0
4.829 * [backup-simplify]: Simplify 1 into 1
4.829 * [backup-simplify]: Simplify (* 1 1) into 1
4.830 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.831 * [backup-simplify]: Simplify 0 into 0
4.831 * [backup-simplify]: Simplify 0 into 0
4.831 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.834 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.834 * [backup-simplify]: Simplify (+ 0 0) into 0
4.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.835 * [taylor]: Taking taylor expansion of 0 in im
4.835 * [backup-simplify]: Simplify 0 into 0
4.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.837 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
4.837 * [backup-simplify]: Simplify (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2)))))
4.837 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (im re) around 0
4.838 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
4.838 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.838 * [taylor]: Taking taylor expansion of im in re
4.838 * [backup-simplify]: Simplify im into im
4.838 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
4.838 * [taylor]: Taking taylor expansion of re in re
4.838 * [backup-simplify]: Simplify 0 into 0
4.838 * [backup-simplify]: Simplify 1 into 1
4.838 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.838 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.838 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.838 * [taylor]: Taking taylor expansion of im in re
4.838 * [backup-simplify]: Simplify im into im
4.838 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.838 * [taylor]: Taking taylor expansion of re in re
4.838 * [backup-simplify]: Simplify 0 into 0
4.838 * [backup-simplify]: Simplify 1 into 1
4.838 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.838 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.838 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.838 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.839 * [backup-simplify]: Simplify (+ 0 0) into 0
4.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.839 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.839 * [backup-simplify]: Simplify (+ 0 im) into im
4.839 * [backup-simplify]: Simplify (/ (pow im 2) im) into im
4.839 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
4.839 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.839 * [taylor]: Taking taylor expansion of im in im
4.839 * [backup-simplify]: Simplify 0 into 0
4.839 * [backup-simplify]: Simplify 1 into 1
4.839 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
4.839 * [taylor]: Taking taylor expansion of re in im
4.839 * [backup-simplify]: Simplify re into re
4.839 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.839 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.839 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.839 * [taylor]: Taking taylor expansion of im in im
4.839 * [backup-simplify]: Simplify 0 into 0
4.839 * [backup-simplify]: Simplify 1 into 1
4.840 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.840 * [taylor]: Taking taylor expansion of re in im
4.840 * [backup-simplify]: Simplify re into re
4.840 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.840 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.840 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.840 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.840 * [backup-simplify]: Simplify (+ 0 0) into 0
4.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.841 * [backup-simplify]: Simplify (* 1 1) into 1
4.841 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
4.841 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
4.841 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
4.841 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.841 * [taylor]: Taking taylor expansion of im in im
4.841 * [backup-simplify]: Simplify 0 into 0
4.841 * [backup-simplify]: Simplify 1 into 1
4.841 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
4.841 * [taylor]: Taking taylor expansion of re in im
4.841 * [backup-simplify]: Simplify re into re
4.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.841 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.841 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.841 * [taylor]: Taking taylor expansion of im in im
4.841 * [backup-simplify]: Simplify 0 into 0
4.841 * [backup-simplify]: Simplify 1 into 1
4.841 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.841 * [taylor]: Taking taylor expansion of re in im
4.841 * [backup-simplify]: Simplify re into re
4.842 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.842 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.842 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.842 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.842 * [backup-simplify]: Simplify (+ 0 0) into 0
4.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.843 * [backup-simplify]: Simplify (* 1 1) into 1
4.843 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
4.843 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
4.843 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
4.843 * [taylor]: Taking taylor expansion of 1/2 in re
4.843 * [backup-simplify]: Simplify 1/2 into 1/2
4.843 * [taylor]: Taking taylor expansion of re in re
4.843 * [backup-simplify]: Simplify 0 into 0
4.843 * [backup-simplify]: Simplify 1 into 1
4.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.844 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.846 * [backup-simplify]: Simplify (+ 0 0) into 0
4.846 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
4.846 * [taylor]: Taking taylor expansion of 0 in re
4.846 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify 0 into 0
4.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.847 * [backup-simplify]: Simplify 0 into 0
4.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.848 * [backup-simplify]: Simplify (* 1 1) into 1
4.849 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.849 * [backup-simplify]: Simplify (+ 1 0) into 1
4.850 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
4.850 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
4.850 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3))))
4.850 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re
4.850 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re
4.850 * [taylor]: Taking taylor expansion of 1/8 in re
4.851 * [backup-simplify]: Simplify 1/8 into 1/8
4.851 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
4.851 * [taylor]: Taking taylor expansion of (pow re 3) in re
4.851 * [taylor]: Taking taylor expansion of re in re
4.851 * [backup-simplify]: Simplify 0 into 0
4.851 * [backup-simplify]: Simplify 1 into 1
4.851 * [backup-simplify]: Simplify (* 1 1) into 1
4.852 * [backup-simplify]: Simplify (* 1 1) into 1
4.852 * [backup-simplify]: Simplify (/ 1 1) into 1
4.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.862 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.862 * [backup-simplify]: Simplify (- 0) into 0
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify 0 into 0
4.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.863 * [backup-simplify]: Simplify 0 into 0
4.864 * [backup-simplify]: Simplify 0 into 0
4.864 * [backup-simplify]: Simplify (/ (+ (* (/ 1 im) (/ 1 im)) 0) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)))
4.864 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in (im re) around 0
4.864 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re
4.864 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re
4.864 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.864 * [taylor]: Taking taylor expansion of re in re
4.864 * [backup-simplify]: Simplify 0 into 0
4.864 * [backup-simplify]: Simplify 1 into 1
4.865 * [backup-simplify]: Simplify (/ 1 1) into 1
4.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.865 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.865 * [taylor]: Taking taylor expansion of re in re
4.865 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify 1 into 1
4.865 * [backup-simplify]: Simplify (* 1 1) into 1
4.866 * [backup-simplify]: Simplify (/ 1 1) into 1
4.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.866 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.866 * [taylor]: Taking taylor expansion of im in re
4.866 * [backup-simplify]: Simplify im into im
4.866 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.866 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.866 * [backup-simplify]: Simplify (+ 1 0) into 1
4.867 * [backup-simplify]: Simplify (sqrt 1) into 1
4.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.869 * [backup-simplify]: Simplify (+ 0 0) into 0
4.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.869 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.869 * [taylor]: Taking taylor expansion of im in re
4.869 * [backup-simplify]: Simplify im into im
4.870 * [backup-simplify]: Simplify (+ 1 1) into 2
4.870 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.871 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2))
4.871 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2))
4.871 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im
4.871 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im
4.871 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
4.871 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.871 * [taylor]: Taking taylor expansion of re in im
4.871 * [backup-simplify]: Simplify re into re
4.871 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.871 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.871 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.871 * [taylor]: Taking taylor expansion of re in im
4.871 * [backup-simplify]: Simplify re into re
4.871 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.871 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.871 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.871 * [taylor]: Taking taylor expansion of im in im
4.871 * [backup-simplify]: Simplify 0 into 0
4.871 * [backup-simplify]: Simplify 1 into 1
4.872 * [backup-simplify]: Simplify (* 1 1) into 1
4.872 * [backup-simplify]: Simplify (/ 1 1) into 1
4.873 * [backup-simplify]: Simplify (+ 0 1) into 1
4.873 * [backup-simplify]: Simplify (sqrt 1) into 1
4.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.875 * [backup-simplify]: Simplify (+ 0 0) into 0
4.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.876 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.876 * [taylor]: Taking taylor expansion of im in im
4.876 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify 1 into 1
4.876 * [backup-simplify]: Simplify (+ 0 1) into 1
4.876 * [backup-simplify]: Simplify (* 1 1) into 1
4.877 * [backup-simplify]: Simplify (* 1 1) into 1
4.877 * [backup-simplify]: Simplify (/ 1 1) into 1
4.877 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im
4.877 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im
4.877 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
4.877 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.877 * [taylor]: Taking taylor expansion of re in im
4.877 * [backup-simplify]: Simplify re into re
4.878 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.878 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.878 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.878 * [taylor]: Taking taylor expansion of re in im
4.878 * [backup-simplify]: Simplify re into re
4.878 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.878 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.878 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.878 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.878 * [taylor]: Taking taylor expansion of im in im
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify 1 into 1
4.878 * [backup-simplify]: Simplify (* 1 1) into 1
4.879 * [backup-simplify]: Simplify (/ 1 1) into 1
4.879 * [backup-simplify]: Simplify (+ 0 1) into 1
4.880 * [backup-simplify]: Simplify (sqrt 1) into 1
4.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.881 * [backup-simplify]: Simplify (+ 0 0) into 0
4.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.882 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.882 * [taylor]: Taking taylor expansion of im in im
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 1 into 1
4.883 * [backup-simplify]: Simplify (+ 0 1) into 1
4.883 * [backup-simplify]: Simplify (* 1 1) into 1
4.883 * [backup-simplify]: Simplify (* 1 1) into 1
4.884 * [backup-simplify]: Simplify (/ 1 1) into 1
4.884 * [taylor]: Taking taylor expansion of 1 in re
4.884 * [backup-simplify]: Simplify 1 into 1
4.884 * [backup-simplify]: Simplify 0 into 0
4.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.885 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
4.885 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re)
4.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
4.885 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
4.885 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.885 * [taylor]: Taking taylor expansion of re in re
4.885 * [backup-simplify]: Simplify 0 into 0
4.885 * [backup-simplify]: Simplify 1 into 1
4.886 * [backup-simplify]: Simplify (/ 1 1) into 1
4.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.888 * [backup-simplify]: Simplify (- 0) into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.891 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
4.892 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
4.893 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
4.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2)))
4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
4.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
4.894 * [taylor]: Taking taylor expansion of 1/2 in re
4.894 * [backup-simplify]: Simplify 1/2 into 1/2
4.894 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.894 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.894 * [taylor]: Taking taylor expansion of re in re
4.894 * [backup-simplify]: Simplify 0 into 0
4.894 * [backup-simplify]: Simplify 1 into 1
4.894 * [backup-simplify]: Simplify (* 1 1) into 1
4.895 * [backup-simplify]: Simplify (/ 1 1) into 1
4.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.901 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.902 * [backup-simplify]: Simplify (- 0) into 0
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
4.902 * [approximate]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (im re) around 0
4.902 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
4.903 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
4.903 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.903 * [taylor]: Taking taylor expansion of im in re
4.903 * [backup-simplify]: Simplify im into im
4.903 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
4.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.903 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.903 * [taylor]: Taking taylor expansion of re in re
4.903 * [backup-simplify]: Simplify 0 into 0
4.903 * [backup-simplify]: Simplify 1 into 1
4.903 * [backup-simplify]: Simplify (* 1 1) into 1
4.903 * [backup-simplify]: Simplify (/ 1 1) into 1
4.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.903 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.903 * [taylor]: Taking taylor expansion of im in re
4.903 * [backup-simplify]: Simplify im into im
4.903 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.904 * [backup-simplify]: Simplify (+ 1 0) into 1
4.904 * [backup-simplify]: Simplify (sqrt 1) into 1
4.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.905 * [backup-simplify]: Simplify (+ 0 0) into 0
4.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.905 * [taylor]: Taking taylor expansion of re in re
4.905 * [backup-simplify]: Simplify 0 into 0
4.905 * [backup-simplify]: Simplify 1 into 1
4.906 * [backup-simplify]: Simplify (/ 1 1) into 1
4.906 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.906 * [backup-simplify]: Simplify (- 1) into -1
4.906 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.906 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0
4.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.907 * [backup-simplify]: Simplify (- 0) into 0
4.907 * [backup-simplify]: Simplify (+ 0 0) into 0
4.907 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.908 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0
4.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.909 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.910 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.910 * [backup-simplify]: Simplify (- 0) into 0
4.910 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.911 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.911 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2
4.911 * [backup-simplify]: Simplify (/ 1 1/2) into 2
4.911 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
4.911 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
4.911 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.912 * [taylor]: Taking taylor expansion of im in im
4.912 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify 1 into 1
4.912 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
4.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.912 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.912 * [taylor]: Taking taylor expansion of re in im
4.912 * [backup-simplify]: Simplify re into re
4.912 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.912 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.912 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.912 * [taylor]: Taking taylor expansion of im in im
4.912 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify 1 into 1
4.912 * [backup-simplify]: Simplify (* 1 1) into 1
4.912 * [backup-simplify]: Simplify (/ 1 1) into 1
4.913 * [backup-simplify]: Simplify (+ 0 1) into 1
4.913 * [backup-simplify]: Simplify (sqrt 1) into 1
4.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.914 * [backup-simplify]: Simplify (+ 0 0) into 0
4.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.914 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.914 * [taylor]: Taking taylor expansion of re in im
4.914 * [backup-simplify]: Simplify re into re
4.914 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.915 * [backup-simplify]: Simplify (* 1 1) into 1
4.915 * [backup-simplify]: Simplify (+ 1 0) into 1
4.915 * [backup-simplify]: Simplify (* 1 1) into 1
4.916 * [backup-simplify]: Simplify (/ 1 1) into 1
4.916 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
4.916 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
4.916 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.916 * [taylor]: Taking taylor expansion of im in im
4.916 * [backup-simplify]: Simplify 0 into 0
4.916 * [backup-simplify]: Simplify 1 into 1
4.916 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
4.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.916 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.916 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.916 * [taylor]: Taking taylor expansion of re in im
4.916 * [backup-simplify]: Simplify re into re
4.916 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.916 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.916 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.916 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.916 * [taylor]: Taking taylor expansion of im in im
4.916 * [backup-simplify]: Simplify 0 into 0
4.916 * [backup-simplify]: Simplify 1 into 1
4.916 * [backup-simplify]: Simplify (* 1 1) into 1
4.917 * [backup-simplify]: Simplify (/ 1 1) into 1
4.917 * [backup-simplify]: Simplify (+ 0 1) into 1
4.917 * [backup-simplify]: Simplify (sqrt 1) into 1
4.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.918 * [backup-simplify]: Simplify (+ 0 0) into 0
4.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.919 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.919 * [taylor]: Taking taylor expansion of re in im
4.919 * [backup-simplify]: Simplify re into re
4.919 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.919 * [backup-simplify]: Simplify (* 1 1) into 1
4.919 * [backup-simplify]: Simplify (+ 1 0) into 1
4.919 * [backup-simplify]: Simplify (* 1 1) into 1
4.920 * [backup-simplify]: Simplify (/ 1 1) into 1
4.920 * [taylor]: Taking taylor expansion of 1 in re
4.920 * [backup-simplify]: Simplify 1 into 1
4.920 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
4.920 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
4.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.921 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re))
4.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
4.921 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.921 * [taylor]: Taking taylor expansion of re in re
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify 1 into 1
4.921 * [backup-simplify]: Simplify (/ 1 1) into 1
4.921 * [backup-simplify]: Simplify 1 into 1
4.921 * [backup-simplify]: Simplify 1 into 1
4.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.922 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
4.923 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
4.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.923 * [backup-simplify]: Simplify (- 0) into 0
4.924 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
4.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.924 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2)))
4.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
4.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
4.925 * [taylor]: Taking taylor expansion of 1/2 in re
4.925 * [backup-simplify]: Simplify 1/2 into 1/2
4.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.925 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.925 * [taylor]: Taking taylor expansion of re in re
4.925 * [backup-simplify]: Simplify 0 into 0
4.925 * [backup-simplify]: Simplify 1 into 1
4.925 * [backup-simplify]: Simplify (* 1 1) into 1
4.925 * [backup-simplify]: Simplify (/ 1 1) into 1
4.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
4.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.929 * [backup-simplify]: Simplify (+ 0 0) into 0
4.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
4.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.929 * [backup-simplify]: Simplify (- 0) into 0
4.930 * [backup-simplify]: Simplify (+ 0 0) into 0
4.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0
4.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0
4.933 * [taylor]: Taking taylor expansion of 0 in re
4.933 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im))
4.937 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
4.937 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))))
4.937 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in (im re) around 0
4.938 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in re
4.938 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
4.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.938 * [taylor]: Taking taylor expansion of 2.0 in re
4.938 * [backup-simplify]: Simplify 2.0 into 2.0
4.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.939 * [taylor]: Taking taylor expansion of im in re
4.939 * [backup-simplify]: Simplify im into im
4.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
4.939 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
4.939 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
4.939 * [taylor]: Taking taylor expansion of re in re
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 1 into 1
4.939 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.939 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.939 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.939 * [taylor]: Taking taylor expansion of im in re
4.939 * [backup-simplify]: Simplify im into im
4.939 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.939 * [taylor]: Taking taylor expansion of re in re
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 1 into 1
4.939 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.939 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.940 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.940 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.940 * [backup-simplify]: Simplify (+ 0 0) into 0
4.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.940 * [backup-simplify]: Simplify (+ 0 im) into im
4.940 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.940 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
4.941 * [backup-simplify]: Simplify (+ 1 0) into 1
4.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2)))
4.941 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3))))
4.941 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im
4.941 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.941 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.941 * [taylor]: Taking taylor expansion of 2.0 in im
4.941 * [backup-simplify]: Simplify 2.0 into 2.0
4.942 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.943 * [taylor]: Taking taylor expansion of im in im
4.943 * [backup-simplify]: Simplify 0 into 0
4.943 * [backup-simplify]: Simplify 1 into 1
4.943 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
4.943 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
4.943 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
4.943 * [taylor]: Taking taylor expansion of re in im
4.943 * [backup-simplify]: Simplify re into re
4.943 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.943 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.943 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.943 * [taylor]: Taking taylor expansion of im in im
4.943 * [backup-simplify]: Simplify 0 into 0
4.943 * [backup-simplify]: Simplify 1 into 1
4.943 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.943 * [taylor]: Taking taylor expansion of re in im
4.943 * [backup-simplify]: Simplify re into re
4.943 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.943 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.943 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.944 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.944 * [backup-simplify]: Simplify (+ 0 0) into 0
4.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.944 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
4.944 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
4.944 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2))
4.945 * [backup-simplify]: Simplify (+ 0 0) into 0
4.945 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
4.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0
4.945 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im
4.945 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.945 * [taylor]: Taking taylor expansion of 2.0 in im
4.945 * [backup-simplify]: Simplify 2.0 into 2.0
4.946 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.946 * [taylor]: Taking taylor expansion of im in im
4.946 * [backup-simplify]: Simplify 0 into 0
4.946 * [backup-simplify]: Simplify 1 into 1
4.946 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
4.946 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
4.946 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
4.946 * [taylor]: Taking taylor expansion of re in im
4.946 * [backup-simplify]: Simplify re into re
4.947 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.947 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.947 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.947 * [taylor]: Taking taylor expansion of im in im
4.947 * [backup-simplify]: Simplify 0 into 0
4.947 * [backup-simplify]: Simplify 1 into 1
4.947 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.947 * [taylor]: Taking taylor expansion of re in im
4.947 * [backup-simplify]: Simplify re into re
4.947 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.947 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.947 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.947 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.947 * [backup-simplify]: Simplify (+ 0 0) into 0
4.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.948 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
4.948 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
4.948 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2))
4.948 * [backup-simplify]: Simplify (+ 0 0) into 0
4.948 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
4.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0
4.949 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.950 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0
4.950 * [taylor]: Taking taylor expansion of 0 in re
4.950 * [backup-simplify]: Simplify 0 into 0
4.950 * [backup-simplify]: Simplify 0 into 0
4.952 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
4.953 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re)))
4.953 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re
4.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re
4.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.953 * [taylor]: Taking taylor expansion of 2.0 in re
4.953 * [backup-simplify]: Simplify 2.0 into 2.0
4.954 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.959 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
4.959 * [taylor]: Taking taylor expansion of 1/2 in re
4.959 * [backup-simplify]: Simplify 1/2 into 1/2
4.960 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
4.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
4.960 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re
4.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.960 * [taylor]: Taking taylor expansion of re in re
4.960 * [backup-simplify]: Simplify 0 into 0
4.960 * [backup-simplify]: Simplify 1 into 1
4.961 * [backup-simplify]: Simplify (/ 1 1) into 1
4.961 * [backup-simplify]: Simplify (sqrt 0) into 0
4.963 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.965 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2))
4.966 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0
4.969 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
4.973 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
4.974 * [backup-simplify]: Simplify 0 into 0
4.974 * [backup-simplify]: Simplify (* 1 1) into 1
4.975 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.975 * [backup-simplify]: Simplify (+ 1 0) into 1
4.976 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
4.976 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
4.976 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3))))
4.978 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))
4.979 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.980 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
4.982 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0
4.983 * [taylor]: Taking taylor expansion of 0 in re
4.983 * [backup-simplify]: Simplify 0 into 0
4.983 * [backup-simplify]: Simplify 0 into 0
4.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.987 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.988 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
4.990 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.991 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
4.995 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
4.999 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
4.999 * [backup-simplify]: Simplify 0 into 0
5.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.000 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.002 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0
5.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0
5.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.006 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))))
5.009 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re
5.009 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re
5.009 * [taylor]: Taking taylor expansion of 1/16 in re
5.009 * [backup-simplify]: Simplify 1/16 into 1/16
5.009 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re
5.009 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re
5.009 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.009 * [taylor]: Taking taylor expansion of 2.0 in re
5.009 * [backup-simplify]: Simplify 2.0 into 2.0
5.009 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.010 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
5.010 * [taylor]: Taking taylor expansion of 1/2 in re
5.010 * [backup-simplify]: Simplify 1/2 into 1/2
5.010 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
5.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
5.012 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2))
5.012 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re
5.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re
5.012 * [taylor]: Taking taylor expansion of (pow re 5) in re
5.012 * [taylor]: Taking taylor expansion of re in re
5.012 * [backup-simplify]: Simplify 0 into 0
5.012 * [backup-simplify]: Simplify 1 into 1
5.013 * [backup-simplify]: Simplify (* 1 1) into 1
5.013 * [backup-simplify]: Simplify (* 1 1) into 1
5.014 * [backup-simplify]: Simplify (* 1 1) into 1
5.014 * [backup-simplify]: Simplify (/ 1 1) into 1
5.014 * [backup-simplify]: Simplify (sqrt 0) into 0
5.015 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.021 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.024 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0
5.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
5.026 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
5.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
5.028 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
5.031 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
5.033 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
5.036 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
5.036 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0
5.041 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
5.045 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
5.048 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
5.059 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2)))))))))
5.060 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* (/ 1 im) (/ 1 im)) 0) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
5.060 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0
5.060 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
5.060 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
5.060 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.060 * [taylor]: Taking taylor expansion of 2.0 in re
5.060 * [backup-simplify]: Simplify 2.0 into 2.0
5.061 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.062 * [taylor]: Taking taylor expansion of im in re
5.062 * [backup-simplify]: Simplify im into im
5.062 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
5.062 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
5.062 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
5.062 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.062 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.062 * [taylor]: Taking taylor expansion of re in re
5.062 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify 1 into 1
5.063 * [backup-simplify]: Simplify (/ 1 1) into 1
5.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.063 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.063 * [taylor]: Taking taylor expansion of re in re
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify 1 into 1
5.064 * [backup-simplify]: Simplify (* 1 1) into 1
5.064 * [backup-simplify]: Simplify (/ 1 1) into 1
5.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.064 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.064 * [taylor]: Taking taylor expansion of im in re
5.064 * [backup-simplify]: Simplify im into im
5.064 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.065 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.065 * [backup-simplify]: Simplify (+ 1 0) into 1
5.066 * [backup-simplify]: Simplify (sqrt 1) into 1
5.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.068 * [backup-simplify]: Simplify (+ 0 0) into 0
5.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.069 * [backup-simplify]: Simplify (+ 1 1) into 2
5.069 * [backup-simplify]: Simplify (/ 1 2) into 1/2
5.070 * [backup-simplify]: Simplify (sqrt 0) into 0
5.071 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
5.071 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
5.071 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.072 * [taylor]: Taking taylor expansion of 2.0 in im
5.072 * [backup-simplify]: Simplify 2.0 into 2.0
5.072 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.073 * [taylor]: Taking taylor expansion of im in im
5.073 * [backup-simplify]: Simplify 0 into 0
5.073 * [backup-simplify]: Simplify 1 into 1
5.074 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
5.074 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
5.074 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.074 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.074 * [taylor]: Taking taylor expansion of re in im
5.074 * [backup-simplify]: Simplify re into re
5.074 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.074 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.074 * [taylor]: Taking taylor expansion of re in im
5.074 * [backup-simplify]: Simplify re into re
5.074 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.074 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.075 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.075 * [taylor]: Taking taylor expansion of im in im
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [backup-simplify]: Simplify 1 into 1
5.075 * [backup-simplify]: Simplify (* 1 1) into 1
5.075 * [backup-simplify]: Simplify (/ 1 1) into 1
5.076 * [backup-simplify]: Simplify (+ 0 1) into 1
5.076 * [backup-simplify]: Simplify (sqrt 1) into 1
5.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.078 * [backup-simplify]: Simplify (+ 0 0) into 0
5.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.079 * [backup-simplify]: Simplify (+ 0 1) into 1
5.080 * [backup-simplify]: Simplify (/ 1 1) into 1
5.080 * [backup-simplify]: Simplify (sqrt 0) into 0
5.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.082 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
5.082 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.082 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.082 * [taylor]: Taking taylor expansion of 2.0 in im
5.082 * [backup-simplify]: Simplify 2.0 into 2.0
5.088 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.089 * [taylor]: Taking taylor expansion of im in im
5.089 * [backup-simplify]: Simplify 0 into 0
5.089 * [backup-simplify]: Simplify 1 into 1
5.090 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
5.090 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
5.090 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.090 * [taylor]: Taking taylor expansion of re in im
5.090 * [backup-simplify]: Simplify re into re
5.090 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.090 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.090 * [taylor]: Taking taylor expansion of re in im
5.090 * [backup-simplify]: Simplify re into re
5.090 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.090 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.090 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.090 * [taylor]: Taking taylor expansion of im in im
5.090 * [backup-simplify]: Simplify 0 into 0
5.091 * [backup-simplify]: Simplify 1 into 1
5.091 * [backup-simplify]: Simplify (* 1 1) into 1
5.092 * [backup-simplify]: Simplify (/ 1 1) into 1
5.092 * [backup-simplify]: Simplify (+ 0 1) into 1
5.093 * [backup-simplify]: Simplify (sqrt 1) into 1
5.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.094 * [backup-simplify]: Simplify (+ 0 0) into 0
5.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.096 * [backup-simplify]: Simplify (+ 0 1) into 1
5.096 * [backup-simplify]: Simplify (/ 1 1) into 1
5.096 * [backup-simplify]: Simplify (sqrt 0) into 0
5.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.098 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.099 * [taylor]: Taking taylor expansion of 0 in re
5.099 * [backup-simplify]: Simplify 0 into 0
5.099 * [backup-simplify]: Simplify 0 into 0
5.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.102 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.102 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
5.102 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.102 * [taylor]: Taking taylor expansion of +nan.0 in re
5.102 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.102 * [taylor]: Taking taylor expansion of 2.0 in re
5.102 * [backup-simplify]: Simplify 2.0 into 2.0
5.102 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.104 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.106 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.107 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.107 * [backup-simplify]: Simplify 0 into 0
5.108 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
5.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
5.109 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
5.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.113 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.113 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.113 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.113 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.113 * [taylor]: Taking taylor expansion of +nan.0 in re
5.113 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.113 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.113 * [taylor]: Taking taylor expansion of 2.0 in re
5.113 * [backup-simplify]: Simplify 2.0 into 2.0
5.114 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.115 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.115 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.115 * [taylor]: Taking taylor expansion of +nan.0 in re
5.115 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.115 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.115 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.115 * [taylor]: Taking taylor expansion of 2.0 in re
5.115 * [backup-simplify]: Simplify 2.0 into 2.0
5.115 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.116 * [taylor]: Taking taylor expansion of re in re
5.116 * [backup-simplify]: Simplify 0 into 0
5.116 * [backup-simplify]: Simplify 1 into 1
5.117 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.118 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.120 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.120 * [backup-simplify]: Simplify (- 0) into 0
5.122 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
5.124 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.126 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.127 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.127 * [backup-simplify]: Simplify (- 0) into 0
5.127 * [backup-simplify]: Simplify 0 into 0
5.127 * [backup-simplify]: Simplify 0 into 0
5.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.129 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.131 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.131 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
5.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
5.132 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
5.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.137 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
5.137 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
5.138 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
5.138 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.138 * [taylor]: Taking taylor expansion of +nan.0 in re
5.138 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.138 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.138 * [taylor]: Taking taylor expansion of 2.0 in re
5.138 * [backup-simplify]: Simplify 2.0 into 2.0
5.138 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.139 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
5.139 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
5.139 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.139 * [taylor]: Taking taylor expansion of +nan.0 in re
5.139 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.139 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.139 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.139 * [taylor]: Taking taylor expansion of 2.0 in re
5.139 * [backup-simplify]: Simplify 2.0 into 2.0
5.140 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.140 * [taylor]: Taking taylor expansion of re in re
5.140 * [backup-simplify]: Simplify 0 into 0
5.140 * [backup-simplify]: Simplify 1 into 1
5.141 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.141 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
5.141 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
5.141 * [taylor]: Taking taylor expansion of +nan.0 in re
5.141 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.141 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
5.141 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.142 * [taylor]: Taking taylor expansion of 2.0 in re
5.142 * [backup-simplify]: Simplify 2.0 into 2.0
5.142 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.143 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.143 * [taylor]: Taking taylor expansion of re in re
5.143 * [backup-simplify]: Simplify 0 into 0
5.143 * [backup-simplify]: Simplify 1 into 1
5.143 * [backup-simplify]: Simplify (* 1 1) into 1
5.144 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.145 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.147 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.148 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.154 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.154 * [backup-simplify]: Simplify (- 0) into 0
5.155 * [backup-simplify]: Simplify (+ 0 0) into 0
5.155 * [backup-simplify]: Simplify (- 0) into 0
5.157 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
5.159 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.161 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.166 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
5.166 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
5.166 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0
5.166 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
5.166 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
5.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.167 * [taylor]: Taking taylor expansion of 2.0 in re
5.167 * [backup-simplify]: Simplify 2.0 into 2.0
5.167 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.168 * [taylor]: Taking taylor expansion of im in re
5.168 * [backup-simplify]: Simplify im into im
5.168 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
5.168 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
5.168 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
5.168 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
5.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.169 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.169 * [taylor]: Taking taylor expansion of re in re
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 1 into 1
5.169 * [backup-simplify]: Simplify (* 1 1) into 1
5.169 * [backup-simplify]: Simplify (/ 1 1) into 1
5.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.169 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.169 * [taylor]: Taking taylor expansion of im in re
5.170 * [backup-simplify]: Simplify im into im
5.170 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.170 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.170 * [backup-simplify]: Simplify (+ 1 0) into 1
5.171 * [backup-simplify]: Simplify (sqrt 1) into 1
5.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.172 * [backup-simplify]: Simplify (+ 0 0) into 0
5.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.173 * [taylor]: Taking taylor expansion of re in re
5.173 * [backup-simplify]: Simplify 0 into 0
5.173 * [backup-simplify]: Simplify 1 into 1
5.174 * [backup-simplify]: Simplify (/ 1 1) into 1
5.174 * [backup-simplify]: Simplify (- 1) into -1
5.174 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.176 * [backup-simplify]: Simplify (- 0) into 0
5.176 * [backup-simplify]: Simplify (+ 0 0) into 0
5.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.178 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.179 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.181 * [backup-simplify]: Simplify (- 0) into 0
5.181 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.181 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
5.181 * [backup-simplify]: Simplify (sqrt 0) into 0
5.182 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
5.182 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
5.182 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.182 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.182 * [taylor]: Taking taylor expansion of 2.0 in im
5.182 * [backup-simplify]: Simplify 2.0 into 2.0
5.183 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.184 * [taylor]: Taking taylor expansion of im in im
5.184 * [backup-simplify]: Simplify 0 into 0
5.184 * [backup-simplify]: Simplify 1 into 1
5.185 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
5.185 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
5.185 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
5.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.185 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.185 * [taylor]: Taking taylor expansion of re in im
5.185 * [backup-simplify]: Simplify re into re
5.185 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.185 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.185 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.185 * [taylor]: Taking taylor expansion of im in im
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 1 into 1
5.186 * [backup-simplify]: Simplify (* 1 1) into 1
5.186 * [backup-simplify]: Simplify (/ 1 1) into 1
5.186 * [backup-simplify]: Simplify (+ 0 1) into 1
5.187 * [backup-simplify]: Simplify (sqrt 1) into 1
5.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.189 * [backup-simplify]: Simplify (+ 0 0) into 0
5.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.189 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.189 * [taylor]: Taking taylor expansion of re in im
5.189 * [backup-simplify]: Simplify re into re
5.190 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.190 * [backup-simplify]: Simplify (+ 1 0) into 1
5.190 * [backup-simplify]: Simplify (/ 1 1) into 1
5.191 * [backup-simplify]: Simplify (sqrt 0) into 0
5.192 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.192 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
5.192 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.192 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.192 * [taylor]: Taking taylor expansion of 2.0 in im
5.192 * [backup-simplify]: Simplify 2.0 into 2.0
5.193 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.194 * [taylor]: Taking taylor expansion of im in im
5.194 * [backup-simplify]: Simplify 0 into 0
5.194 * [backup-simplify]: Simplify 1 into 1
5.195 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
5.195 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
5.195 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
5.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.195 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.195 * [taylor]: Taking taylor expansion of re in im
5.195 * [backup-simplify]: Simplify re into re
5.195 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.195 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.195 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.195 * [taylor]: Taking taylor expansion of im in im
5.195 * [backup-simplify]: Simplify 0 into 0
5.195 * [backup-simplify]: Simplify 1 into 1
5.196 * [backup-simplify]: Simplify (* 1 1) into 1
5.196 * [backup-simplify]: Simplify (/ 1 1) into 1
5.197 * [backup-simplify]: Simplify (+ 0 1) into 1
5.197 * [backup-simplify]: Simplify (sqrt 1) into 1
5.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.199 * [backup-simplify]: Simplify (+ 0 0) into 0
5.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.200 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.200 * [taylor]: Taking taylor expansion of re in im
5.200 * [backup-simplify]: Simplify re into re
5.200 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.201 * [backup-simplify]: Simplify (+ 1 0) into 1
5.201 * [backup-simplify]: Simplify (/ 1 1) into 1
5.202 * [backup-simplify]: Simplify (sqrt 0) into 0
5.203 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.204 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.204 * [taylor]: Taking taylor expansion of 0 in re
5.204 * [backup-simplify]: Simplify 0 into 0
5.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.208 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.208 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
5.208 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.208 * [taylor]: Taking taylor expansion of +nan.0 in re
5.208 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.208 * [taylor]: Taking taylor expansion of 2.0 in re
5.208 * [backup-simplify]: Simplify 2.0 into 2.0
5.208 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.209 * [backup-simplify]: Simplify 0 into 0
5.209 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
5.209 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
5.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
5.211 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
5.212 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.214 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.215 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.215 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.215 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.215 * [taylor]: Taking taylor expansion of +nan.0 in re
5.215 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.215 * [taylor]: Taking taylor expansion of 2.0 in re
5.215 * [backup-simplify]: Simplify 2.0 into 2.0
5.215 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.216 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.216 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.216 * [taylor]: Taking taylor expansion of +nan.0 in re
5.216 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.216 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.216 * [taylor]: Taking taylor expansion of 2.0 in re
5.216 * [backup-simplify]: Simplify 2.0 into 2.0
5.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.217 * [taylor]: Taking taylor expansion of re in re
5.217 * [backup-simplify]: Simplify 0 into 0
5.217 * [backup-simplify]: Simplify 1 into 1
5.218 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.219 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.221 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.223 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.225 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.226 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.227 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.229 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.230 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.230 * [backup-simplify]: Simplify 0 into 0
5.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.232 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.233 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.234 * [backup-simplify]: Simplify (- 0) into 0
5.234 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
5.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
5.240 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
5.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.244 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
5.244 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
5.245 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
5.245 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.245 * [taylor]: Taking taylor expansion of +nan.0 in re
5.245 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.245 * [taylor]: Taking taylor expansion of 2.0 in re
5.245 * [backup-simplify]: Simplify 2.0 into 2.0
5.245 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.246 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
5.246 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
5.246 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.246 * [taylor]: Taking taylor expansion of +nan.0 in re
5.246 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.246 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.246 * [taylor]: Taking taylor expansion of 2.0 in re
5.246 * [backup-simplify]: Simplify 2.0 into 2.0
5.246 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.247 * [taylor]: Taking taylor expansion of re in re
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify 1 into 1
5.248 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.248 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
5.248 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
5.248 * [taylor]: Taking taylor expansion of +nan.0 in re
5.248 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.248 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
5.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.248 * [taylor]: Taking taylor expansion of 2.0 in re
5.248 * [backup-simplify]: Simplify 2.0 into 2.0
5.249 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.249 * [taylor]: Taking taylor expansion of re in re
5.250 * [backup-simplify]: Simplify 0 into 0
5.250 * [backup-simplify]: Simplify 1 into 1
5.250 * [backup-simplify]: Simplify (* 1 1) into 1
5.251 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.252 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.255 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.255 * [backup-simplify]: Simplify (- 0) into 0
5.256 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
5.259 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.261 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.263 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.264 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.270 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
5.270 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2)
5.270 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
5.270 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
5.270 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
5.270 * [taylor]: Taking taylor expansion of re in im
5.270 * [backup-simplify]: Simplify re into re
5.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.270 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.270 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.270 * [taylor]: Taking taylor expansion of im in im
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 1 into 1
5.270 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.270 * [taylor]: Taking taylor expansion of re in im
5.270 * [backup-simplify]: Simplify re into re
5.270 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.270 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.271 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.271 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.271 * [backup-simplify]: Simplify (+ 0 0) into 0
5.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.271 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
5.271 * [taylor]: Taking taylor expansion of re in re
5.271 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify 1 into 1
5.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.271 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.271 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.271 * [taylor]: Taking taylor expansion of im in re
5.271 * [backup-simplify]: Simplify im into im
5.271 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.271 * [taylor]: Taking taylor expansion of re in re
5.271 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify 1 into 1
5.272 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.272 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.272 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.272 * [backup-simplify]: Simplify (+ 0 0) into 0
5.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.272 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
5.272 * [taylor]: Taking taylor expansion of re in re
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify 1 into 1
5.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.272 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.272 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.272 * [taylor]: Taking taylor expansion of im in re
5.273 * [backup-simplify]: Simplify im into im
5.273 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.273 * [taylor]: Taking taylor expansion of re in re
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify 1 into 1
5.273 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.273 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.273 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.273 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.273 * [backup-simplify]: Simplify (+ 0 0) into 0
5.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.274 * [backup-simplify]: Simplify (+ 0 im) into im
5.274 * [taylor]: Taking taylor expansion of im in im
5.274 * [backup-simplify]: Simplify 0 into 0
5.274 * [backup-simplify]: Simplify 1 into 1
5.274 * [backup-simplify]: Simplify 0 into 0
5.274 * [backup-simplify]: Simplify (+ 1 0) into 1
5.274 * [taylor]: Taking taylor expansion of 1 in im
5.274 * [backup-simplify]: Simplify 1 into 1
5.274 * [backup-simplify]: Simplify 1 into 1
5.274 * [backup-simplify]: Simplify 1 into 1
5.275 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.275 * [backup-simplify]: Simplify (* 1 1) into 1
5.275 * [backup-simplify]: Simplify (+ 0 1) into 1
5.276 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.276 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
5.276 * [taylor]: Taking taylor expansion of 1/2 in im
5.276 * [backup-simplify]: Simplify 1/2 into 1/2
5.276 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.276 * [taylor]: Taking taylor expansion of im in im
5.276 * [backup-simplify]: Simplify 0 into 0
5.276 * [backup-simplify]: Simplify 1 into 1
5.277 * [backup-simplify]: Simplify (/ 1 1) into 1
5.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.278 * [backup-simplify]: Simplify 0 into 0
5.278 * [backup-simplify]: Simplify 0 into 0
5.278 * [backup-simplify]: Simplify 0 into 0
5.279 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.280 * [backup-simplify]: Simplify (+ 0 0) into 0
5.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.281 * [backup-simplify]: Simplify (+ 0 0) into 0
5.281 * [taylor]: Taking taylor expansion of 0 in im
5.281 * [backup-simplify]: Simplify 0 into 0
5.281 * [backup-simplify]: Simplify 0 into 0
5.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.283 * [backup-simplify]: Simplify 0 into 0
5.283 * [backup-simplify]: Simplify 0 into 0
5.283 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
5.283 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
5.283 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
5.283 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.283 * [taylor]: Taking taylor expansion of re in im
5.283 * [backup-simplify]: Simplify re into re
5.283 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.284 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.284 * [taylor]: Taking taylor expansion of re in im
5.284 * [backup-simplify]: Simplify re into re
5.284 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.284 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.284 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.284 * [taylor]: Taking taylor expansion of im in im
5.284 * [backup-simplify]: Simplify 0 into 0
5.284 * [backup-simplify]: Simplify 1 into 1
5.284 * [backup-simplify]: Simplify (* 1 1) into 1
5.285 * [backup-simplify]: Simplify (/ 1 1) into 1
5.285 * [backup-simplify]: Simplify (+ 0 1) into 1
5.285 * [backup-simplify]: Simplify (sqrt 1) into 1
5.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.287 * [backup-simplify]: Simplify (+ 0 0) into 0
5.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.288 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.288 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.288 * [taylor]: Taking taylor expansion of re in re
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 1 into 1
5.288 * [backup-simplify]: Simplify (/ 1 1) into 1
5.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.289 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.289 * [taylor]: Taking taylor expansion of re in re
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 1 into 1
5.289 * [backup-simplify]: Simplify (* 1 1) into 1
5.289 * [backup-simplify]: Simplify (/ 1 1) into 1
5.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.289 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.289 * [taylor]: Taking taylor expansion of im in re
5.289 * [backup-simplify]: Simplify im into im
5.290 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.290 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.290 * [backup-simplify]: Simplify (+ 1 0) into 1
5.290 * [backup-simplify]: Simplify (sqrt 1) into 1
5.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.292 * [backup-simplify]: Simplify (+ 0 0) into 0
5.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.293 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.293 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.293 * [taylor]: Taking taylor expansion of re in re
5.293 * [backup-simplify]: Simplify 0 into 0
5.293 * [backup-simplify]: Simplify 1 into 1
5.294 * [backup-simplify]: Simplify (/ 1 1) into 1
5.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.294 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.294 * [taylor]: Taking taylor expansion of re in re
5.294 * [backup-simplify]: Simplify 0 into 0
5.294 * [backup-simplify]: Simplify 1 into 1
5.294 * [backup-simplify]: Simplify (* 1 1) into 1
5.295 * [backup-simplify]: Simplify (/ 1 1) into 1
5.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.295 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.295 * [taylor]: Taking taylor expansion of im in re
5.295 * [backup-simplify]: Simplify im into im
5.295 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.295 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.296 * [backup-simplify]: Simplify (+ 1 0) into 1
5.296 * [backup-simplify]: Simplify (sqrt 1) into 1
5.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.298 * [backup-simplify]: Simplify (+ 0 0) into 0
5.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.299 * [backup-simplify]: Simplify (+ 1 1) into 2
5.299 * [taylor]: Taking taylor expansion of 2 in im
5.299 * [backup-simplify]: Simplify 2 into 2
5.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.300 * [backup-simplify]: Simplify (+ 0 0) into 0
5.300 * [taylor]: Taking taylor expansion of 0 in im
5.300 * [backup-simplify]: Simplify 0 into 0
5.300 * [backup-simplify]: Simplify 2 into 2
5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.303 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.305 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.305 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
5.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.305 * [taylor]: Taking taylor expansion of 1/2 in im
5.305 * [backup-simplify]: Simplify 1/2 into 1/2
5.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.305 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.305 * [taylor]: Taking taylor expansion of im in im
5.305 * [backup-simplify]: Simplify 0 into 0
5.305 * [backup-simplify]: Simplify 1 into 1
5.306 * [backup-simplify]: Simplify (* 1 1) into 1
5.306 * [backup-simplify]: Simplify (/ 1 1) into 1
5.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.308 * [backup-simplify]: Simplify 0 into 0
5.308 * [backup-simplify]: Simplify 0 into 0
5.308 * [backup-simplify]: Simplify 0 into 0
5.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.312 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.313 * [backup-simplify]: Simplify (+ 0 0) into 0
5.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.314 * [backup-simplify]: Simplify (+ 0 0) into 0
5.314 * [taylor]: Taking taylor expansion of 0 in im
5.314 * [backup-simplify]: Simplify 0 into 0
5.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.317 * [backup-simplify]: Simplify 0 into 0
5.317 * [backup-simplify]: Simplify 0 into 0
5.317 * [backup-simplify]: Simplify 0 into 0
5.318 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
5.318 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
5.318 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
5.318 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
5.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.318 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.318 * [taylor]: Taking taylor expansion of re in im
5.318 * [backup-simplify]: Simplify re into re
5.318 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.318 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.318 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.318 * [taylor]: Taking taylor expansion of im in im
5.318 * [backup-simplify]: Simplify 0 into 0
5.318 * [backup-simplify]: Simplify 1 into 1
5.319 * [backup-simplify]: Simplify (* 1 1) into 1
5.319 * [backup-simplify]: Simplify (/ 1 1) into 1
5.320 * [backup-simplify]: Simplify (+ 0 1) into 1
5.320 * [backup-simplify]: Simplify (sqrt 1) into 1
5.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.322 * [backup-simplify]: Simplify (+ 0 0) into 0
5.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.323 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.323 * [taylor]: Taking taylor expansion of re in im
5.323 * [backup-simplify]: Simplify re into re
5.323 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.323 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
5.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.323 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.323 * [taylor]: Taking taylor expansion of re in re
5.323 * [backup-simplify]: Simplify 0 into 0
5.323 * [backup-simplify]: Simplify 1 into 1
5.324 * [backup-simplify]: Simplify (* 1 1) into 1
5.324 * [backup-simplify]: Simplify (/ 1 1) into 1
5.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.324 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.324 * [taylor]: Taking taylor expansion of im in re
5.324 * [backup-simplify]: Simplify im into im
5.324 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.324 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.325 * [backup-simplify]: Simplify (+ 1 0) into 1
5.325 * [backup-simplify]: Simplify (sqrt 1) into 1
5.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.327 * [backup-simplify]: Simplify (+ 0 0) into 0
5.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.328 * [taylor]: Taking taylor expansion of re in re
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [backup-simplify]: Simplify 1 into 1
5.328 * [backup-simplify]: Simplify (/ 1 1) into 1
5.328 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
5.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.328 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.328 * [taylor]: Taking taylor expansion of re in re
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [backup-simplify]: Simplify 1 into 1
5.329 * [backup-simplify]: Simplify (* 1 1) into 1
5.329 * [backup-simplify]: Simplify (/ 1 1) into 1
5.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.329 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.329 * [taylor]: Taking taylor expansion of im in re
5.329 * [backup-simplify]: Simplify im into im
5.329 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.330 * [backup-simplify]: Simplify (+ 1 0) into 1
5.330 * [backup-simplify]: Simplify (sqrt 1) into 1
5.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.332 * [backup-simplify]: Simplify (+ 0 0) into 0
5.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.333 * [taylor]: Taking taylor expansion of re in re
5.333 * [backup-simplify]: Simplify 0 into 0
5.333 * [backup-simplify]: Simplify 1 into 1
5.334 * [backup-simplify]: Simplify (/ 1 1) into 1
5.334 * [backup-simplify]: Simplify (- 1) into -1
5.334 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.335 * [taylor]: Taking taylor expansion of 0 in im
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.336 * [backup-simplify]: Simplify (- 0) into 0
5.336 * [backup-simplify]: Simplify (+ 0 0) into 0
5.336 * [taylor]: Taking taylor expansion of 0 in im
5.336 * [backup-simplify]: Simplify 0 into 0
5.336 * [backup-simplify]: Simplify 0 into 0
5.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.338 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.340 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.341 * [backup-simplify]: Simplify (- 0) into 0
5.341 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.341 * [taylor]: Taking taylor expansion of 1/2 in im
5.341 * [backup-simplify]: Simplify 1/2 into 1/2
5.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.341 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.341 * [taylor]: Taking taylor expansion of im in im
5.341 * [backup-simplify]: Simplify 0 into 0
5.341 * [backup-simplify]: Simplify 1 into 1
5.342 * [backup-simplify]: Simplify (* 1 1) into 1
5.342 * [backup-simplify]: Simplify (/ 1 1) into 1
5.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.344 * [backup-simplify]: Simplify 0 into 0
5.345 * [backup-simplify]: Simplify 0 into 0
5.345 * [backup-simplify]: Simplify 0 into 0
5.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.347 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.348 * [backup-simplify]: Simplify (+ 0 0) into 0
5.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.349 * [backup-simplify]: Simplify (- 0) into 0
5.350 * [backup-simplify]: Simplify (+ 0 0) into 0
5.350 * [taylor]: Taking taylor expansion of 0 in im
5.350 * [backup-simplify]: Simplify 0 into 0
5.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.353 * [backup-simplify]: Simplify 0 into 0
5.353 * [backup-simplify]: Simplify 0 into 0
5.353 * [backup-simplify]: Simplify 0 into 0
5.353 * * * [progress]: simplifying candidates
5.353 * * * * [progress]: [ 1 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (pow (+ (* re re) (* im im)) 1/2) re))))))>
5.353 * * * * [progress]: [ 2 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (pow (sqrt (+ (* re re) (* im im))) 1) re))))))>
5.353 * * * * [progress]: [ 3 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))))>
5.353 * * * * [progress]: [ 4 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (log (exp (sqrt (+ (* re re) (* im im))))) re))))))>
5.353 * * * * [progress]: [ 5 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))>
5.354 * * * * [progress]: [ 6 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re))))))>
5.354 * * * * [progress]: [ 7 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))))>
5.354 * * * * [progress]: [ 8 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))>
5.354 * * * * [progress]: [ 9 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re))))))>
5.354 * * * * [progress]: [ 10 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))))>
5.354 * * * * [progress]: [ 11 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))))>
5.354 * * * * [progress]: [ 12 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re))))))>
5.354 * * * * [progress]: [ 13 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))>
5.354 * * * * [progress]: [ 14 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))))>
5.354 * * * * [progress]: [ 15 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))))>
5.354 * * * * [progress]: [ 16 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))))>
5.354 * * * * [progress]: [ 17 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)) 1)))))>
5.355 * * * * [progress]: [ 18 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (- (log (+ (* im im) 0)) (log (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.355 * * * * [progress]: [ 19 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.355 * * * * [progress]: [ 20 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.355 * * * * [progress]: [ 21 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (/ (* (* (+ (* im im) 0) (+ (* im im) 0)) (+ (* im im) 0)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.355 * * * * [progress]: [ 22 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.355 * * * * [progress]: [ 23 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.355 * * * * [progress]: [ 24 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.355 * * * * [progress]: [ 25 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (+ (* im im) 0)) (- (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.355 * * * * [progress]: [ 26 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (+ (* im im) 0)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.355 * * * * [progress]: [ 27 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (+ (* im im) 0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.355 * * * * [progress]: [ 28 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) 1) (/ (cbrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.355 * * * * [progress]: [ 29 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) 1) (/ (cbrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.355 * * * * [progress]: [ 30 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (sqrt (+ (* im im) 0)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (+ (* im im) 0)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.356 * * * * [progress]: [ 31 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (sqrt (+ (* im im) 0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (* im im) 0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.356 * * * * [progress]: [ 32 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (sqrt (+ (* im im) 0)) 1) (/ (sqrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.356 * * * * [progress]: [ 33 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (sqrt (+ (* im im) 0)) 1) (/ (sqrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.356 * * * * [progress]: [ 34 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (+ (* im im) 0) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.356 * * * * [progress]: [ 35 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (+ (* im im) 0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.356 * * * * [progress]: [ 36 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ 1 1) (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.356 * * * * [progress]: [ 37 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ 1 1) (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.356 * * * * [progress]: [ 38 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.356 * * * * [progress]: [ 39 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (* im im) 0) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.356 * * * * [progress]: [ 40 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ 1 (/ (+ (sqrt (+ (* re re) (* im im))) re) (+ (* im im) 0)))))))>
5.356 * * * * [progress]: [ 41 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (/ (+ (* im im) 0) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.356 * * * * [progress]: [ 42 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (/ (+ (* im im) 0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.357 * * * * [progress]: [ 43 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (/ (+ (* im im) 0) 1) (+ (sqrt (+ (* re re) (* im im))) re))))))>
5.357 * * * * [progress]: [ 44 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (/ (+ (* im im) 0) 1) (+ (sqrt (+ (* re re) (* im im))) re))))))>
5.357 * * * * [progress]: [ 45 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (+ (* im im) 0))))))))>
5.357 * * * * [progress]: [ 46 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (sqrt (+ (* im im) 0)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* im im) 0))))))))>
5.357 * * * * [progress]: [ 47 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ 1 (/ (+ (sqrt (+ (* re re) (* im im))) re) (+ (* im im) 0)))))))>
5.357 * * * * [progress]: [ 48 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (+ (* im im) 0) (+ (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))))))))>
5.357 * * * * [progress]: [ 49 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (+ (* im im) 0) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (- (sqrt (+ (* re re) (* im im))) re))))))>
5.357 * * * * [progress]: [ 50 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow (* im im) 3) (pow 0 3)) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0)))))))))>
5.357 * * * * [progress]: [ 51 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* im im) (* im im)) (* 0 0)) (* (+ (sqrt (+ (* re re) (* im im))) re) (- (* im im) 0)))))))>
5.357 * * * * [progress]: [ 52 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.357 * * * * [progress]: [ 53 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))) 1/2)))>
5.357 * * * * [progress]: [ 54 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))) 1)))>
5.357 * * * * [progress]: [ 55 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.358 * * * * [progress]: [ 56 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.358 * * * * [progress]: [ 57 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.358 * * * * [progress]: [ 58 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.358 * * * * [progress]: [ 59 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))>
5.358 * * * * [progress]: [ 60 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
5.358 * * * * [progress]: [ 61 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 2))))>
5.358 * * * * [progress]: [ 62 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 2))))>
5.358 * * * * [progress]: [ 63 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.358 * * * * [progress]: [ 64 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.358 * * * * [progress]: [ 65 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.358 * * * * [progress]: [ 66 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (log (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))))))))>
5.358 * * * * [progress]: [ 67 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (pow (+ (sqrt (+ (* re re) (* im im))) re) 1))))))>
5.359 * * * * [progress]: [ 68 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (exp (log (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.359 * * * * [progress]: [ 69 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.359 * * * * [progress]: [ 70 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.359 * * * * [progress]: [ 71 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (cbrt (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.359 * * * * [progress]: [ 72 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.359 * * * * [progress]: [ 73 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (/ (+ (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)))))))))>
5.359 * * * * [progress]: [ 74 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (* 1 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.359 * * * * [progress]: [ 75 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (/ (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re)))))))>
5.359 * * * * [progress]: [ 76 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (* 1 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.359 * * * * [progress]: [ 77 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.359 * * * * [progress]: [ 78 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))))))))>
5.359 * * * * [progress]: [ 79 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ im re))))))>
5.360 * * * * [progress]: [ 80 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))>
5.360 * * * * [progress]: [ 81 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (* -1 re) re))))))>
5.360 * * * * [progress]: [ 82 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
5.360 * * * * [progress]: [ 83 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
5.360 * * * * [progress]: [ 84 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))>
5.360 * * * * [progress]: [ 85 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2)))))))))))>
5.360 * * * * [progress]: [ 86 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))))>
5.360 * * * * [progress]: [ 87 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))))>
5.360 * * * * [progress]: [ 88 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re im))))))>
5.360 * * * * [progress]: [ 89 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (* 2 re))))))>
5.360 * * * * [progress]: [ 90 / 90 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) 0)))))>
5.362 * [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))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (- (log (+ (* im im) 0)) (log (+ (sqrt (+ (* re re) (* im im))) re)))
  (log (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (exp (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (* (+ (* im im) 0) (+ (* im im) 0)) (+ (* im im) 0)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (- (+ (* im im) 0))
  (- (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (+ (* im im) 0)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (cbrt (+ (* im im) 0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) 1)
  (/ (cbrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) 1)
  (/ (cbrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (sqrt (+ (* im im) 0)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (+ (* im im) 0)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (+ (* im im) 0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (+ (* im im) 0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (+ (* im im) 0)) 1)
  (/ (sqrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (sqrt (+ (* im im) 0)) 1)
  (/ (sqrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (+ (* im im) 0) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (+ (* im im) 0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 1)
  (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 1)
  (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (+ (* im im) 0))
  (/ (+ (* im im) 0) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (+ (* im im) 0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (+ (* im im) 0) 1)
  (/ (+ (* im im) 0) 1)
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (+ (* im im) 0)))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* im im) 0)))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (+ (* im im) 0))
  (/ (+ (* im im) 0) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))
  (/ (+ (* im im) 0) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))
  (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0))))
  (* (+ (sqrt (+ (* re re) (* im im))) re) (- (* im im) 0))
  (real->posit16 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (log (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (exp (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (* (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))
  (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (* (* (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt 2.0)
  (sqrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* 2.0 (+ (* im im) 0)))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (real->posit16 (sqrt (* 2.0 (/ (+ (* im im) 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)
  (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re))
  im
  re
  (* -1 re)
  0
  0
  (- (+ re im))
  (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2)))))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
  (+ re im)
  (* 2 re)
  0
5.364 * * [simplify]: iteration 1: (166 enodes)
5.418 * * [simplify]: iteration 2: (392 enodes)
5.593 * * [simplify]: iteration 3: (1056 enodes)
6.297 * * [simplify]: Extracting #0: cost 81 inf + 0
6.297 * * [simplify]: Extracting #1: cost 332 inf + 87
6.300 * * [simplify]: Extracting #2: cost 625 inf + 5492
6.309 * * [simplify]: Extracting #3: cost 561 inf + 40571
6.337 * * [simplify]: Extracting #4: cost 203 inf + 127126
6.392 * * [simplify]: Extracting #5: cost 9 inf + 190001
6.475 * * [simplify]: Extracting #6: cost 0 inf + 193706
6.539 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) im) (* (* im im) im))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (log (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (log (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (exp (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)) (* (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)) (* (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (- (* im im))
  (- (- (sqrt (+ (* re re) (* im im)))) re)
  (* (/ (cbrt (* im im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (* im im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (* im im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (cbrt (* im im)) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (* im im))))
  (/ (cbrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (* im im)) (cbrt (* im im)))
  (/ (cbrt (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (* im im)) (cbrt (* im im)))
  (/ (cbrt (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (/ (fabs im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (fabs im)
  (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))
  (fabs im)
  (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (* im im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* im im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  1
  (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))
  1
  (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (* im im))
  (/ (/ (* im im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* im im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* im im)
  (* im im)
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (* im im)))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (fabs im))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (* im im))
  (/ (* im im) (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))))
  (/ (* im im) (* im im))
  (* (* (* im im) (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* im im) (+ (sqrt (+ (* re re) (* im im))) re))
  (real->posit16 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (log (sqrt (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt 2.0)
  (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* 2.0 (* im im)))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  1/2
  1/2
  (sqrt (sqrt (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))
  (real->posit16 (sqrt (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (+ (sqrt (+ (* re re) (* im im))) re) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re)))
  (- (* re re) (* (sqrt (+ (* re re) (* im im))) (- re (sqrt (+ (* re re) (* im im))))))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re))
  im
  re
  (- re)
  0
  0
  (- (- re) im)
  (- (+ (- (* re (* (* (* (sqrt 2.0) im) +nan.0) (sqrt 1/2))) (/ (* (* (* (* im im) im) +nan.0) (sqrt 2.0)) (sqrt 1/2))) (* (* (* (sqrt 2.0) im) +nan.0) (sqrt 1/2))))
  (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) im) (/ (sqrt 2.0) (* im im)))))
  (- (* +nan.0 (- (* (/ (sqrt 2.0) im) (/ re im)) (- (sqrt 2.0) (* re (/ (sqrt 2.0) im))))))
  (+ re im)
  (* re 2)
  0
6.549 * * * [progress]: adding candidates to table
7.609 * * [progress]: iteration 4 / 4
7.609 * * * [progress]: picking best candidate
7.628 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
7.628 * * * [progress]: localizing error
7.659 * * * [progress]: generating rewritten candidates
7.659 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
7.665 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
7.674 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
7.741 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
7.788 * * * [progress]: generating series expansions
7.788 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
7.788 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.788 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.788 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.788 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.788 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.788 * [taylor]: Taking taylor expansion of im in im
7.788 * [backup-simplify]: Simplify 0 into 0
7.788 * [backup-simplify]: Simplify 1 into 1
7.789 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.789 * [taylor]: Taking taylor expansion of re in im
7.789 * [backup-simplify]: Simplify re into re
7.789 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.789 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.789 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.789 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.790 * [backup-simplify]: Simplify (+ 0 0) into 0
7.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.790 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.790 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.790 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.790 * [taylor]: Taking taylor expansion of im in re
7.790 * [backup-simplify]: Simplify im into im
7.790 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.790 * [taylor]: Taking taylor expansion of re in re
7.790 * [backup-simplify]: Simplify 0 into 0
7.790 * [backup-simplify]: Simplify 1 into 1
7.790 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.790 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.790 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.790 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.791 * [backup-simplify]: Simplify (+ 0 0) into 0
7.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.791 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.791 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.791 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.791 * [taylor]: Taking taylor expansion of im in re
7.791 * [backup-simplify]: Simplify im into im
7.791 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.791 * [taylor]: Taking taylor expansion of re in re
7.791 * [backup-simplify]: Simplify 0 into 0
7.791 * [backup-simplify]: Simplify 1 into 1
7.791 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.791 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.791 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.791 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.792 * [backup-simplify]: Simplify (+ 0 0) into 0
7.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.792 * [taylor]: Taking taylor expansion of im in im
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [backup-simplify]: Simplify 1 into 1
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [taylor]: Taking taylor expansion of 0 in im
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [backup-simplify]: Simplify 1 into 1
7.793 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.793 * [backup-simplify]: Simplify (* 1 1) into 1
7.794 * [backup-simplify]: Simplify (+ 0 1) into 1
7.794 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.794 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.795 * [taylor]: Taking taylor expansion of 1/2 in im
7.795 * [backup-simplify]: Simplify 1/2 into 1/2
7.795 * [taylor]: Taking taylor expansion of im in im
7.795 * [backup-simplify]: Simplify 0 into 0
7.795 * [backup-simplify]: Simplify 1 into 1
7.795 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.796 * [backup-simplify]: Simplify 0 into 0
7.796 * [backup-simplify]: Simplify 0 into 0
7.796 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.798 * [backup-simplify]: Simplify (+ 0 0) into 0
7.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.799 * [taylor]: Taking taylor expansion of 0 in im
7.799 * [backup-simplify]: Simplify 0 into 0
7.799 * [backup-simplify]: Simplify 0 into 0
7.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.800 * [backup-simplify]: Simplify 0 into 0
7.800 * [backup-simplify]: Simplify 0 into 0
7.800 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.800 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.800 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.800 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.800 * [taylor]: Taking taylor expansion of re in im
7.800 * [backup-simplify]: Simplify re into re
7.800 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.800 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.800 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.801 * [taylor]: Taking taylor expansion of im in im
7.801 * [backup-simplify]: Simplify 0 into 0
7.801 * [backup-simplify]: Simplify 1 into 1
7.801 * [backup-simplify]: Simplify (* 1 1) into 1
7.801 * [backup-simplify]: Simplify (/ 1 1) into 1
7.802 * [backup-simplify]: Simplify (+ 0 1) into 1
7.802 * [backup-simplify]: Simplify (sqrt 1) into 1
7.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.804 * [backup-simplify]: Simplify (+ 0 0) into 0
7.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.805 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.805 * [taylor]: Taking taylor expansion of re in re
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify 1 into 1
7.805 * [backup-simplify]: Simplify (* 1 1) into 1
7.806 * [backup-simplify]: Simplify (/ 1 1) into 1
7.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.806 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.806 * [taylor]: Taking taylor expansion of im in re
7.806 * [backup-simplify]: Simplify im into im
7.806 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.806 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.806 * [backup-simplify]: Simplify (+ 1 0) into 1
7.807 * [backup-simplify]: Simplify (sqrt 1) into 1
7.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.809 * [backup-simplify]: Simplify (+ 0 0) into 0
7.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.809 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.809 * [taylor]: Taking taylor expansion of re in re
7.809 * [backup-simplify]: Simplify 0 into 0
7.809 * [backup-simplify]: Simplify 1 into 1
7.810 * [backup-simplify]: Simplify (* 1 1) into 1
7.810 * [backup-simplify]: Simplify (/ 1 1) into 1
7.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.810 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.810 * [taylor]: Taking taylor expansion of im in re
7.810 * [backup-simplify]: Simplify im into im
7.810 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.810 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.811 * [backup-simplify]: Simplify (+ 1 0) into 1
7.811 * [backup-simplify]: Simplify (sqrt 1) into 1
7.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.813 * [backup-simplify]: Simplify (+ 0 0) into 0
7.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.814 * [taylor]: Taking taylor expansion of 1 in im
7.814 * [backup-simplify]: Simplify 1 into 1
7.814 * [taylor]: Taking taylor expansion of 0 in im
7.814 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify 1 into 1
7.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.816 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.818 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.818 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.818 * [taylor]: Taking taylor expansion of 1/2 in im
7.818 * [backup-simplify]: Simplify 1/2 into 1/2
7.818 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.818 * [taylor]: Taking taylor expansion of im in im
7.818 * [backup-simplify]: Simplify 0 into 0
7.818 * [backup-simplify]: Simplify 1 into 1
7.818 * [backup-simplify]: Simplify (* 1 1) into 1
7.819 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.820 * [backup-simplify]: Simplify 0 into 0
7.821 * [backup-simplify]: Simplify 0 into 0
7.821 * [backup-simplify]: Simplify 0 into 0
7.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.823 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.823 * [backup-simplify]: Simplify (+ 0 0) into 0
7.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.824 * [taylor]: Taking taylor expansion of 0 in im
7.824 * [backup-simplify]: Simplify 0 into 0
7.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.826 * [backup-simplify]: Simplify 0 into 0
7.826 * [backup-simplify]: Simplify 0 into 0
7.826 * [backup-simplify]: Simplify 0 into 0
7.826 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.826 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.826 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.827 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.827 * [taylor]: Taking taylor expansion of re in im
7.827 * [backup-simplify]: Simplify re into re
7.827 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.827 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.827 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.827 * [taylor]: Taking taylor expansion of im in im
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [backup-simplify]: Simplify (* 1 1) into 1
7.828 * [backup-simplify]: Simplify (/ 1 1) into 1
7.828 * [backup-simplify]: Simplify (+ 0 1) into 1
7.828 * [backup-simplify]: Simplify (sqrt 1) into 1
7.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.830 * [backup-simplify]: Simplify (+ 0 0) into 0
7.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.831 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.831 * [taylor]: Taking taylor expansion of re in re
7.831 * [backup-simplify]: Simplify 0 into 0
7.831 * [backup-simplify]: Simplify 1 into 1
7.832 * [backup-simplify]: Simplify (* 1 1) into 1
7.832 * [backup-simplify]: Simplify (/ 1 1) into 1
7.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.832 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.832 * [taylor]: Taking taylor expansion of im in re
7.832 * [backup-simplify]: Simplify im into im
7.832 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.832 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.833 * [backup-simplify]: Simplify (+ 1 0) into 1
7.833 * [backup-simplify]: Simplify (sqrt 1) into 1
7.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.835 * [backup-simplify]: Simplify (+ 0 0) into 0
7.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.836 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.836 * [taylor]: Taking taylor expansion of re in re
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [backup-simplify]: Simplify 1 into 1
7.836 * [backup-simplify]: Simplify (* 1 1) into 1
7.837 * [backup-simplify]: Simplify (/ 1 1) into 1
7.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.837 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.837 * [taylor]: Taking taylor expansion of im in re
7.837 * [backup-simplify]: Simplify im into im
7.837 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.837 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.837 * [backup-simplify]: Simplify (+ 1 0) into 1
7.838 * [backup-simplify]: Simplify (sqrt 1) into 1
7.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.840 * [backup-simplify]: Simplify (+ 0 0) into 0
7.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.840 * [taylor]: Taking taylor expansion of 1 in im
7.840 * [backup-simplify]: Simplify 1 into 1
7.840 * [taylor]: Taking taylor expansion of 0 in im
7.840 * [backup-simplify]: Simplify 0 into 0
7.840 * [backup-simplify]: Simplify 1 into 1
7.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.842 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.844 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.844 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.844 * [taylor]: Taking taylor expansion of 1/2 in im
7.844 * [backup-simplify]: Simplify 1/2 into 1/2
7.844 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.844 * [taylor]: Taking taylor expansion of im in im
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [backup-simplify]: Simplify 1 into 1
7.844 * [backup-simplify]: Simplify (* 1 1) into 1
7.845 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.846 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify 0 into 0
7.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.849 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.849 * [backup-simplify]: Simplify (+ 0 0) into 0
7.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.850 * [taylor]: Taking taylor expansion of 0 in im
7.850 * [backup-simplify]: Simplify 0 into 0
7.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.852 * [backup-simplify]: Simplify 0 into 0
7.852 * [backup-simplify]: Simplify 0 into 0
7.852 * [backup-simplify]: Simplify 0 into 0
7.852 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.852 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
7.852 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im)
7.852 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0
7.852 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.852 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.852 * [taylor]: Taking taylor expansion of 2.0 in im
7.852 * [backup-simplify]: Simplify 2.0 into 2.0
7.853 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.854 * [taylor]: Taking taylor expansion of im in im
7.854 * [backup-simplify]: Simplify 0 into 0
7.854 * [backup-simplify]: Simplify 1 into 1
7.854 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.854 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.854 * [taylor]: Taking taylor expansion of 2.0 in im
7.854 * [backup-simplify]: Simplify 2.0 into 2.0
7.854 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.855 * [taylor]: Taking taylor expansion of im in im
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [backup-simplify]: Simplify 1 into 1
7.855 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.856 * [backup-simplify]: Simplify 0 into 0
7.858 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
7.858 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.861 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
7.861 * [backup-simplify]: Simplify 0 into 0
7.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.863 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.863 * [backup-simplify]: Simplify 0 into 0
7.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.867 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.867 * [backup-simplify]: Simplify 0 into 0
7.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.870 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
7.870 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.873 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
7.873 * [backup-simplify]: Simplify 0 into 0
7.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.877 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
7.877 * [backup-simplify]: Simplify 0 into 0
7.877 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
7.877 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im)
7.877 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
7.877 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.878 * [taylor]: Taking taylor expansion of 2.0 in im
7.878 * [backup-simplify]: Simplify 2.0 into 2.0
7.878 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.879 * [taylor]: Taking taylor expansion of im in im
7.879 * [backup-simplify]: Simplify 0 into 0
7.879 * [backup-simplify]: Simplify 1 into 1
7.880 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.880 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.880 * [taylor]: Taking taylor expansion of 2.0 in im
7.880 * [backup-simplify]: Simplify 2.0 into 2.0
7.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.881 * [taylor]: Taking taylor expansion of im in im
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 1 into 1
7.882 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.883 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.884 * [backup-simplify]: Simplify 0 into 0
7.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.886 * [backup-simplify]: Simplify 0 into 0
7.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.893 * [backup-simplify]: Simplify 0 into 0
7.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.896 * [backup-simplify]: Simplify 0 into 0
7.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.899 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
7.903 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im)
7.903 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
7.903 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.903 * [taylor]: Taking taylor expansion of 2.0 in im
7.903 * [backup-simplify]: Simplify 2.0 into 2.0
7.903 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.904 * [taylor]: Taking taylor expansion of im in im
7.904 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify 1 into 1
7.905 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.905 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.905 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.905 * [taylor]: Taking taylor expansion of 2.0 in im
7.905 * [backup-simplify]: Simplify 2.0 into 2.0
7.905 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.906 * [taylor]: Taking taylor expansion of im in im
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify 1 into 1
7.907 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.907 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.909 * [backup-simplify]: Simplify 0 into 0
7.910 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.911 * [backup-simplify]: Simplify 0 into 0
7.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.914 * [backup-simplify]: Simplify 0 into 0
7.915 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.916 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.919 * [backup-simplify]: Simplify 0 into 0
7.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.922 * [backup-simplify]: Simplify 0 into 0
7.922 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
7.922 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
7.923 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))))
7.923 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in (im re) around 0
7.923 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in re
7.923 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
7.923 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.923 * [taylor]: Taking taylor expansion of 2.0 in re
7.923 * [backup-simplify]: Simplify 2.0 into 2.0
7.923 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.924 * [taylor]: Taking taylor expansion of im in re
7.924 * [backup-simplify]: Simplify im into im
7.924 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
7.924 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
7.924 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
7.924 * [taylor]: Taking taylor expansion of re in re
7.924 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify 1 into 1
7.924 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.924 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.924 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.924 * [taylor]: Taking taylor expansion of im in re
7.924 * [backup-simplify]: Simplify im into im
7.924 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.925 * [taylor]: Taking taylor expansion of re in re
7.925 * [backup-simplify]: Simplify 0 into 0
7.925 * [backup-simplify]: Simplify 1 into 1
7.925 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.925 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.925 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.925 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.925 * [backup-simplify]: Simplify (+ 0 0) into 0
7.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.925 * [backup-simplify]: Simplify (+ 0 im) into im
7.926 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.926 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
7.926 * [backup-simplify]: Simplify (+ 1 0) into 1
7.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2)))
7.927 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3))))
7.927 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im
7.927 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.927 * [taylor]: Taking taylor expansion of 2.0 in im
7.927 * [backup-simplify]: Simplify 2.0 into 2.0
7.927 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.928 * [taylor]: Taking taylor expansion of im in im
7.928 * [backup-simplify]: Simplify 0 into 0
7.928 * [backup-simplify]: Simplify 1 into 1
7.928 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
7.928 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
7.928 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
7.928 * [taylor]: Taking taylor expansion of re in im
7.928 * [backup-simplify]: Simplify re into re
7.928 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.928 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.928 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.929 * [taylor]: Taking taylor expansion of im in im
7.929 * [backup-simplify]: Simplify 0 into 0
7.929 * [backup-simplify]: Simplify 1 into 1
7.929 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.929 * [taylor]: Taking taylor expansion of re in im
7.929 * [backup-simplify]: Simplify re into re
7.929 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.929 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.929 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.929 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.929 * [backup-simplify]: Simplify (+ 0 0) into 0
7.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.930 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
7.930 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
7.930 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2))
7.930 * [backup-simplify]: Simplify (+ 0 0) into 0
7.930 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
7.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0
7.931 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im
7.931 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.931 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.931 * [taylor]: Taking taylor expansion of 2.0 in im
7.931 * [backup-simplify]: Simplify 2.0 into 2.0
7.931 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.932 * [taylor]: Taking taylor expansion of im in im
7.932 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify 1 into 1
7.932 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
7.932 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
7.932 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
7.932 * [taylor]: Taking taylor expansion of re in im
7.932 * [backup-simplify]: Simplify re into re
7.932 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.932 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.932 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.932 * [taylor]: Taking taylor expansion of im in im
7.932 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify 1 into 1
7.932 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.932 * [taylor]: Taking taylor expansion of re in im
7.932 * [backup-simplify]: Simplify re into re
7.933 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.933 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.933 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.933 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.933 * [backup-simplify]: Simplify (+ 0 0) into 0
7.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.933 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
7.934 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
7.934 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2))
7.934 * [backup-simplify]: Simplify (+ 0 0) into 0
7.934 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
7.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0
7.935 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.936 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0
7.936 * [taylor]: Taking taylor expansion of 0 in re
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify 0 into 0
7.938 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
7.939 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re)))
7.939 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re
7.939 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re
7.939 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.939 * [taylor]: Taking taylor expansion of 2.0 in re
7.939 * [backup-simplify]: Simplify 2.0 into 2.0
7.940 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.940 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
7.941 * [taylor]: Taking taylor expansion of 1/2 in re
7.941 * [backup-simplify]: Simplify 1/2 into 1/2
7.941 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.942 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re
7.942 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.942 * [taylor]: Taking taylor expansion of re in re
7.942 * [backup-simplify]: Simplify 0 into 0
7.942 * [backup-simplify]: Simplify 1 into 1
7.942 * [backup-simplify]: Simplify (/ 1 1) into 1
7.942 * [backup-simplify]: Simplify (sqrt 0) into 0
7.944 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.945 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2))
7.946 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0
7.950 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
7.953 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify (* 1 1) into 1
7.955 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.955 * [backup-simplify]: Simplify (+ 1 0) into 1
7.956 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.956 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
7.956 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3))))
7.957 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))
7.959 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.960 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
7.962 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0
7.962 * [taylor]: Taking taylor expansion of 0 in re
7.962 * [backup-simplify]: Simplify 0 into 0
7.962 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.966 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.967 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.970 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
7.975 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
7.978 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
7.978 * [backup-simplify]: Simplify 0 into 0
7.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.979 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.980 * [backup-simplify]: Simplify (+ 0 0) into 0
7.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.980 * [backup-simplify]: Simplify (+ 0 0) into 0
7.981 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0
7.982 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0
7.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.985 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))))
7.988 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re
7.988 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re
7.988 * [taylor]: Taking taylor expansion of 1/16 in re
7.988 * [backup-simplify]: Simplify 1/16 into 1/16
7.988 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re
7.988 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re
7.988 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.988 * [taylor]: Taking taylor expansion of 2.0 in re
7.988 * [backup-simplify]: Simplify 2.0 into 2.0
7.989 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.989 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
7.989 * [taylor]: Taking taylor expansion of 1/2 in re
7.989 * [backup-simplify]: Simplify 1/2 into 1/2
7.990 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.992 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2))
7.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re
7.992 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re
7.992 * [taylor]: Taking taylor expansion of (pow re 5) in re
7.992 * [taylor]: Taking taylor expansion of re in re
7.992 * [backup-simplify]: Simplify 0 into 0
7.992 * [backup-simplify]: Simplify 1 into 1
7.992 * [backup-simplify]: Simplify (* 1 1) into 1
7.993 * [backup-simplify]: Simplify (* 1 1) into 1
7.993 * [backup-simplify]: Simplify (* 1 1) into 1
7.994 * [backup-simplify]: Simplify (/ 1 1) into 1
7.994 * [backup-simplify]: Simplify (sqrt 0) into 0
7.996 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.006 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.011 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0
8.012 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.013 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.015 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
8.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.020 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
8.024 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
8.029 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
8.032 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
8.033 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0
8.047 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
8.052 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
8.055 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
8.065 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2)))))))))
8.066 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
8.066 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0
8.066 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
8.066 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
8.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.066 * [taylor]: Taking taylor expansion of 2.0 in re
8.066 * [backup-simplify]: Simplify 2.0 into 2.0
8.067 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.067 * [taylor]: Taking taylor expansion of im in re
8.067 * [backup-simplify]: Simplify im into im
8.068 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
8.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
8.068 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
8.068 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.068 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.068 * [taylor]: Taking taylor expansion of re in re
8.068 * [backup-simplify]: Simplify 0 into 0
8.068 * [backup-simplify]: Simplify 1 into 1
8.068 * [backup-simplify]: Simplify (/ 1 1) into 1
8.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.068 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.069 * [taylor]: Taking taylor expansion of re in re
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 1 into 1
8.069 * [backup-simplify]: Simplify (* 1 1) into 1
8.070 * [backup-simplify]: Simplify (/ 1 1) into 1
8.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.070 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.070 * [taylor]: Taking taylor expansion of im in re
8.070 * [backup-simplify]: Simplify im into im
8.070 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.070 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.070 * [backup-simplify]: Simplify (+ 1 0) into 1
8.071 * [backup-simplify]: Simplify (sqrt 1) into 1
8.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.073 * [backup-simplify]: Simplify (+ 0 0) into 0
8.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.074 * [backup-simplify]: Simplify (+ 1 1) into 2
8.074 * [backup-simplify]: Simplify (/ 1 2) into 1/2
8.075 * [backup-simplify]: Simplify (sqrt 0) into 0
8.076 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
8.076 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
8.076 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
8.076 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.076 * [taylor]: Taking taylor expansion of 2.0 in im
8.076 * [backup-simplify]: Simplify 2.0 into 2.0
8.077 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.078 * [taylor]: Taking taylor expansion of im in im
8.078 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify 1 into 1
8.078 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
8.079 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
8.079 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
8.079 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.079 * [taylor]: Taking taylor expansion of re in im
8.079 * [backup-simplify]: Simplify re into re
8.079 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.079 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.079 * [taylor]: Taking taylor expansion of re in im
8.079 * [backup-simplify]: Simplify re into re
8.079 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.079 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.079 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.079 * [taylor]: Taking taylor expansion of im in im
8.079 * [backup-simplify]: Simplify 0 into 0
8.079 * [backup-simplify]: Simplify 1 into 1
8.080 * [backup-simplify]: Simplify (* 1 1) into 1
8.080 * [backup-simplify]: Simplify (/ 1 1) into 1
8.080 * [backup-simplify]: Simplify (+ 0 1) into 1
8.081 * [backup-simplify]: Simplify (sqrt 1) into 1
8.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.082 * [backup-simplify]: Simplify (+ 0 0) into 0
8.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.083 * [backup-simplify]: Simplify (+ 0 1) into 1
8.084 * [backup-simplify]: Simplify (/ 1 1) into 1
8.084 * [backup-simplify]: Simplify (sqrt 0) into 0
8.085 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.085 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
8.086 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
8.086 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.086 * [taylor]: Taking taylor expansion of 2.0 in im
8.086 * [backup-simplify]: Simplify 2.0 into 2.0
8.086 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.087 * [taylor]: Taking taylor expansion of im in im
8.087 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify 1 into 1
8.088 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
8.088 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
8.088 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
8.088 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.088 * [taylor]: Taking taylor expansion of re in im
8.088 * [backup-simplify]: Simplify re into re
8.088 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.088 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.088 * [taylor]: Taking taylor expansion of re in im
8.088 * [backup-simplify]: Simplify re into re
8.088 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.088 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.088 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.088 * [taylor]: Taking taylor expansion of im in im
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify 1 into 1
8.089 * [backup-simplify]: Simplify (* 1 1) into 1
8.089 * [backup-simplify]: Simplify (/ 1 1) into 1
8.090 * [backup-simplify]: Simplify (+ 0 1) into 1
8.090 * [backup-simplify]: Simplify (sqrt 1) into 1
8.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.092 * [backup-simplify]: Simplify (+ 0 0) into 0
8.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.093 * [backup-simplify]: Simplify (+ 0 1) into 1
8.093 * [backup-simplify]: Simplify (/ 1 1) into 1
8.094 * [backup-simplify]: Simplify (sqrt 0) into 0
8.095 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.096 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
8.096 * [taylor]: Taking taylor expansion of 0 in re
8.096 * [backup-simplify]: Simplify 0 into 0
8.096 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
8.099 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
8.099 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
8.099 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
8.099 * [taylor]: Taking taylor expansion of +nan.0 in re
8.099 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.099 * [taylor]: Taking taylor expansion of 2.0 in re
8.099 * [backup-simplify]: Simplify 2.0 into 2.0
8.100 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.101 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
8.103 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.105 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
8.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
8.106 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
8.108 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.110 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
8.111 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
8.111 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
8.111 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
8.111 * [taylor]: Taking taylor expansion of +nan.0 in re
8.111 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.111 * [taylor]: Taking taylor expansion of 2.0 in re
8.111 * [backup-simplify]: Simplify 2.0 into 2.0
8.111 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.112 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
8.112 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
8.112 * [taylor]: Taking taylor expansion of +nan.0 in re
8.112 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.112 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
8.112 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.112 * [taylor]: Taking taylor expansion of 2.0 in re
8.112 * [backup-simplify]: Simplify 2.0 into 2.0
8.113 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.114 * [taylor]: Taking taylor expansion of re in re
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify 1 into 1
8.115 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.116 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
8.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
8.118 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
8.118 * [backup-simplify]: Simplify (- 0) into 0
8.120 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
8.123 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
8.124 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.125 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
8.125 * [backup-simplify]: Simplify (- 0) into 0
8.125 * [backup-simplify]: Simplify 0 into 0
8.125 * [backup-simplify]: Simplify 0 into 0
8.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.128 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
8.129 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
8.129 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
8.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
8.130 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
8.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.136 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
8.136 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
8.136 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
8.136 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
8.136 * [taylor]: Taking taylor expansion of +nan.0 in re
8.136 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.136 * [taylor]: Taking taylor expansion of 2.0 in re
8.136 * [backup-simplify]: Simplify 2.0 into 2.0
8.136 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.137 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
8.137 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
8.137 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
8.137 * [taylor]: Taking taylor expansion of +nan.0 in re
8.137 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.137 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
8.137 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.137 * [taylor]: Taking taylor expansion of 2.0 in re
8.137 * [backup-simplify]: Simplify 2.0 into 2.0
8.138 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.139 * [taylor]: Taking taylor expansion of re in re
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify 1 into 1
8.140 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.140 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
8.140 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
8.140 * [taylor]: Taking taylor expansion of +nan.0 in re
8.140 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.140 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
8.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.140 * [taylor]: Taking taylor expansion of 2.0 in re
8.140 * [backup-simplify]: Simplify 2.0 into 2.0
8.140 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.141 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.141 * [taylor]: Taking taylor expansion of re in re
8.141 * [backup-simplify]: Simplify 0 into 0
8.141 * [backup-simplify]: Simplify 1 into 1
8.142 * [backup-simplify]: Simplify (* 1 1) into 1
8.143 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.144 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
8.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
8.146 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
8.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
8.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.153 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.153 * [backup-simplify]: Simplify (- 0) into 0
8.153 * [backup-simplify]: Simplify (+ 0 0) into 0
8.154 * [backup-simplify]: Simplify (- 0) into 0
8.155 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
8.158 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
8.159 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.164 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
8.165 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
8.165 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0
8.165 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
8.165 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
8.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.165 * [taylor]: Taking taylor expansion of 2.0 in re
8.165 * [backup-simplify]: Simplify 2.0 into 2.0
8.165 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.166 * [taylor]: Taking taylor expansion of im in re
8.166 * [backup-simplify]: Simplify im into im
8.167 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
8.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
8.167 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
8.167 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.167 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.167 * [taylor]: Taking taylor expansion of re in re
8.167 * [backup-simplify]: Simplify 0 into 0
8.167 * [backup-simplify]: Simplify 1 into 1
8.167 * [backup-simplify]: Simplify (* 1 1) into 1
8.168 * [backup-simplify]: Simplify (/ 1 1) into 1
8.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.168 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.168 * [taylor]: Taking taylor expansion of im in re
8.168 * [backup-simplify]: Simplify im into im
8.168 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.168 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.168 * [backup-simplify]: Simplify (+ 1 0) into 1
8.169 * [backup-simplify]: Simplify (sqrt 1) into 1
8.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.171 * [backup-simplify]: Simplify (+ 0 0) into 0
8.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.172 * [taylor]: Taking taylor expansion of re in re
8.172 * [backup-simplify]: Simplify 0 into 0
8.172 * [backup-simplify]: Simplify 1 into 1
8.172 * [backup-simplify]: Simplify (/ 1 1) into 1
8.173 * [backup-simplify]: Simplify (- 1) into -1
8.173 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.174 * [backup-simplify]: Simplify (- 0) into 0
8.175 * [backup-simplify]: Simplify (+ 0 0) into 0
8.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.177 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.178 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.179 * [backup-simplify]: Simplify (- 0) into 0
8.179 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.180 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
8.180 * [backup-simplify]: Simplify (sqrt 0) into 0
8.181 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
8.181 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
8.181 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
8.181 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.181 * [taylor]: Taking taylor expansion of 2.0 in im
8.181 * [backup-simplify]: Simplify 2.0 into 2.0
8.181 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.182 * [taylor]: Taking taylor expansion of im in im
8.182 * [backup-simplify]: Simplify 0 into 0
8.182 * [backup-simplify]: Simplify 1 into 1
8.183 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
8.183 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
8.183 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.183 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.183 * [taylor]: Taking taylor expansion of re in im
8.183 * [backup-simplify]: Simplify re into re
8.183 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.184 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.184 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.184 * [taylor]: Taking taylor expansion of im in im
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 1 into 1
8.184 * [backup-simplify]: Simplify (* 1 1) into 1
8.184 * [backup-simplify]: Simplify (/ 1 1) into 1
8.185 * [backup-simplify]: Simplify (+ 0 1) into 1
8.185 * [backup-simplify]: Simplify (sqrt 1) into 1
8.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.187 * [backup-simplify]: Simplify (+ 0 0) into 0
8.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.188 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.188 * [taylor]: Taking taylor expansion of re in im
8.188 * [backup-simplify]: Simplify re into re
8.188 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.189 * [backup-simplify]: Simplify (+ 1 0) into 1
8.189 * [backup-simplify]: Simplify (/ 1 1) into 1
8.189 * [backup-simplify]: Simplify (sqrt 0) into 0
8.191 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.191 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
8.191 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
8.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.191 * [taylor]: Taking taylor expansion of 2.0 in im
8.191 * [backup-simplify]: Simplify 2.0 into 2.0
8.197 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.198 * [taylor]: Taking taylor expansion of im in im
8.198 * [backup-simplify]: Simplify 0 into 0
8.198 * [backup-simplify]: Simplify 1 into 1
8.199 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
8.199 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
8.199 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.199 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.199 * [taylor]: Taking taylor expansion of re in im
8.199 * [backup-simplify]: Simplify re into re
8.199 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.199 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.199 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.199 * [taylor]: Taking taylor expansion of im in im
8.199 * [backup-simplify]: Simplify 0 into 0
8.199 * [backup-simplify]: Simplify 1 into 1
8.200 * [backup-simplify]: Simplify (* 1 1) into 1
8.200 * [backup-simplify]: Simplify (/ 1 1) into 1
8.201 * [backup-simplify]: Simplify (+ 0 1) into 1
8.201 * [backup-simplify]: Simplify (sqrt 1) into 1
8.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.203 * [backup-simplify]: Simplify (+ 0 0) into 0
8.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.203 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.203 * [taylor]: Taking taylor expansion of re in im
8.203 * [backup-simplify]: Simplify re into re
8.203 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.204 * [backup-simplify]: Simplify (+ 1 0) into 1
8.204 * [backup-simplify]: Simplify (/ 1 1) into 1
8.204 * [backup-simplify]: Simplify (sqrt 0) into 0
8.205 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.205 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
8.205 * [taylor]: Taking taylor expansion of 0 in re
8.205 * [backup-simplify]: Simplify 0 into 0
8.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
8.207 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
8.207 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
8.207 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
8.207 * [taylor]: Taking taylor expansion of +nan.0 in re
8.207 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.207 * [taylor]: Taking taylor expansion of 2.0 in re
8.207 * [backup-simplify]: Simplify 2.0 into 2.0
8.207 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.208 * [backup-simplify]: Simplify 0 into 0
8.208 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
8.208 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
8.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
8.209 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
8.210 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.211 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
8.211 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
8.211 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
8.211 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
8.211 * [taylor]: Taking taylor expansion of +nan.0 in re
8.211 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.211 * [taylor]: Taking taylor expansion of 2.0 in re
8.211 * [backup-simplify]: Simplify 2.0 into 2.0
8.211 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.212 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
8.212 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
8.212 * [taylor]: Taking taylor expansion of +nan.0 in re
8.212 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.212 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
8.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.212 * [taylor]: Taking taylor expansion of 2.0 in re
8.212 * [backup-simplify]: Simplify 2.0 into 2.0
8.212 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.213 * [taylor]: Taking taylor expansion of re in re
8.213 * [backup-simplify]: Simplify 0 into 0
8.213 * [backup-simplify]: Simplify 1 into 1
8.213 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.214 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
8.215 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.217 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
8.218 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
8.219 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.220 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
8.221 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.222 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.222 * [backup-simplify]: Simplify 0 into 0
8.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.223 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
8.224 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
8.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.224 * [backup-simplify]: Simplify (- 0) into 0
8.224 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
8.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
8.225 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
8.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.227 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
8.227 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
8.227 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
8.227 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
8.227 * [taylor]: Taking taylor expansion of +nan.0 in re
8.227 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.228 * [taylor]: Taking taylor expansion of 2.0 in re
8.228 * [backup-simplify]: Simplify 2.0 into 2.0
8.228 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.228 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
8.228 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
8.228 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
8.228 * [taylor]: Taking taylor expansion of +nan.0 in re
8.228 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.228 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
8.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.228 * [taylor]: Taking taylor expansion of 2.0 in re
8.228 * [backup-simplify]: Simplify 2.0 into 2.0
8.229 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.229 * [taylor]: Taking taylor expansion of re in re
8.229 * [backup-simplify]: Simplify 0 into 0
8.229 * [backup-simplify]: Simplify 1 into 1
8.230 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.230 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
8.230 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
8.230 * [taylor]: Taking taylor expansion of +nan.0 in re
8.230 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.230 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
8.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.230 * [taylor]: Taking taylor expansion of 2.0 in re
8.230 * [backup-simplify]: Simplify 2.0 into 2.0
8.230 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.231 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.231 * [taylor]: Taking taylor expansion of re in re
8.231 * [backup-simplify]: Simplify 0 into 0
8.231 * [backup-simplify]: Simplify 1 into 1
8.231 * [backup-simplify]: Simplify (* 1 1) into 1
8.231 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.232 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
8.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
8.234 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
8.234 * [backup-simplify]: Simplify (- 0) into 0
8.235 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
8.236 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
8.238 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
8.239 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
8.240 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.243 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
8.243 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
8.243 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
8.243 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
8.243 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
8.243 * [taylor]: Taking taylor expansion of re in im
8.243 * [backup-simplify]: Simplify re into re
8.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.243 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.243 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.243 * [taylor]: Taking taylor expansion of im in im
8.243 * [backup-simplify]: Simplify 0 into 0
8.243 * [backup-simplify]: Simplify 1 into 1
8.243 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.243 * [taylor]: Taking taylor expansion of re in im
8.243 * [backup-simplify]: Simplify re into re
8.243 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.243 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.243 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.243 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.244 * [backup-simplify]: Simplify (+ 0 0) into 0
8.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.244 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
8.244 * [taylor]: Taking taylor expansion of re in re
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify 1 into 1
8.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.244 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.244 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.244 * [taylor]: Taking taylor expansion of im in re
8.244 * [backup-simplify]: Simplify im into im
8.244 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.244 * [taylor]: Taking taylor expansion of re in re
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify 1 into 1
8.244 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.244 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.244 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.244 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.244 * [backup-simplify]: Simplify (+ 0 0) into 0
8.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.245 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
8.245 * [taylor]: Taking taylor expansion of re in re
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify 1 into 1
8.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.245 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.245 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.245 * [taylor]: Taking taylor expansion of im in re
8.245 * [backup-simplify]: Simplify im into im
8.245 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.245 * [taylor]: Taking taylor expansion of re in re
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify 1 into 1
8.245 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.245 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.245 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.245 * [backup-simplify]: Simplify (+ 0 0) into 0
8.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.245 * [backup-simplify]: Simplify (+ 0 im) into im
8.245 * [taylor]: Taking taylor expansion of im in im
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify 1 into 1
8.245 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify (+ 1 0) into 1
8.246 * [taylor]: Taking taylor expansion of 1 in im
8.246 * [backup-simplify]: Simplify 1 into 1
8.246 * [backup-simplify]: Simplify 1 into 1
8.246 * [backup-simplify]: Simplify 1 into 1
8.246 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.246 * [backup-simplify]: Simplify (* 1 1) into 1
8.247 * [backup-simplify]: Simplify (+ 0 1) into 1
8.247 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.247 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
8.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.247 * [taylor]: Taking taylor expansion of 1/2 in im
8.247 * [backup-simplify]: Simplify 1/2 into 1/2
8.247 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.247 * [taylor]: Taking taylor expansion of im in im
8.247 * [backup-simplify]: Simplify 0 into 0
8.247 * [backup-simplify]: Simplify 1 into 1
8.248 * [backup-simplify]: Simplify (/ 1 1) into 1
8.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.248 * [backup-simplify]: Simplify 0 into 0
8.249 * [backup-simplify]: Simplify 0 into 0
8.249 * [backup-simplify]: Simplify 0 into 0
8.249 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.250 * [backup-simplify]: Simplify (+ 0 0) into 0
8.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.250 * [backup-simplify]: Simplify (+ 0 0) into 0
8.250 * [taylor]: Taking taylor expansion of 0 in im
8.250 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.251 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
8.252 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
8.252 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
8.252 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
8.252 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.252 * [taylor]: Taking taylor expansion of re in im
8.252 * [backup-simplify]: Simplify re into re
8.252 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.252 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.252 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.252 * [taylor]: Taking taylor expansion of re in im
8.252 * [backup-simplify]: Simplify re into re
8.252 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.252 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.252 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.252 * [taylor]: Taking taylor expansion of im in im
8.252 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify 1 into 1
8.252 * [backup-simplify]: Simplify (* 1 1) into 1
8.252 * [backup-simplify]: Simplify (/ 1 1) into 1
8.253 * [backup-simplify]: Simplify (+ 0 1) into 1
8.253 * [backup-simplify]: Simplify (sqrt 1) into 1
8.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.254 * [backup-simplify]: Simplify (+ 0 0) into 0
8.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.254 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.255 * [taylor]: Taking taylor expansion of re in re
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify 1 into 1
8.255 * [backup-simplify]: Simplify (/ 1 1) into 1
8.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.255 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.255 * [taylor]: Taking taylor expansion of re in re
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify 1 into 1
8.255 * [backup-simplify]: Simplify (* 1 1) into 1
8.255 * [backup-simplify]: Simplify (/ 1 1) into 1
8.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.255 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.255 * [taylor]: Taking taylor expansion of im in re
8.255 * [backup-simplify]: Simplify im into im
8.256 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.256 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.256 * [backup-simplify]: Simplify (+ 1 0) into 1
8.256 * [backup-simplify]: Simplify (sqrt 1) into 1
8.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.257 * [backup-simplify]: Simplify (+ 0 0) into 0
8.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.258 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.258 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.258 * [taylor]: Taking taylor expansion of re in re
8.258 * [backup-simplify]: Simplify 0 into 0
8.258 * [backup-simplify]: Simplify 1 into 1
8.258 * [backup-simplify]: Simplify (/ 1 1) into 1
8.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.258 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.258 * [taylor]: Taking taylor expansion of re in re
8.258 * [backup-simplify]: Simplify 0 into 0
8.258 * [backup-simplify]: Simplify 1 into 1
8.258 * [backup-simplify]: Simplify (* 1 1) into 1
8.259 * [backup-simplify]: Simplify (/ 1 1) into 1
8.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.259 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.259 * [taylor]: Taking taylor expansion of im in re
8.259 * [backup-simplify]: Simplify im into im
8.259 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.259 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.259 * [backup-simplify]: Simplify (+ 1 0) into 1
8.259 * [backup-simplify]: Simplify (sqrt 1) into 1
8.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.260 * [backup-simplify]: Simplify (+ 0 0) into 0
8.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.261 * [backup-simplify]: Simplify (+ 1 1) into 2
8.261 * [taylor]: Taking taylor expansion of 2 in im
8.261 * [backup-simplify]: Simplify 2 into 2
8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.262 * [backup-simplify]: Simplify (+ 0 0) into 0
8.262 * [taylor]: Taking taylor expansion of 0 in im
8.262 * [backup-simplify]: Simplify 0 into 0
8.262 * [backup-simplify]: Simplify 2 into 2
8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.264 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.265 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.265 * [taylor]: Taking taylor expansion of 1/2 in im
8.265 * [backup-simplify]: Simplify 1/2 into 1/2
8.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.265 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.265 * [taylor]: Taking taylor expansion of im in im
8.265 * [backup-simplify]: Simplify 0 into 0
8.265 * [backup-simplify]: Simplify 1 into 1
8.265 * [backup-simplify]: Simplify (* 1 1) into 1
8.265 * [backup-simplify]: Simplify (/ 1 1) into 1
8.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.267 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.269 * [backup-simplify]: Simplify (+ 0 0) into 0
8.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.270 * [backup-simplify]: Simplify (+ 0 0) into 0
8.270 * [taylor]: Taking taylor expansion of 0 in im
8.270 * [backup-simplify]: Simplify 0 into 0
8.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.272 * [backup-simplify]: Simplify 0 into 0
8.272 * [backup-simplify]: Simplify 0 into 0
8.272 * [backup-simplify]: Simplify 0 into 0
8.272 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
8.272 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
8.272 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
8.272 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.272 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.272 * [taylor]: Taking taylor expansion of re in im
8.272 * [backup-simplify]: Simplify re into re
8.272 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.272 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.272 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.272 * [taylor]: Taking taylor expansion of im in im
8.272 * [backup-simplify]: Simplify 0 into 0
8.272 * [backup-simplify]: Simplify 1 into 1
8.273 * [backup-simplify]: Simplify (* 1 1) into 1
8.273 * [backup-simplify]: Simplify (/ 1 1) into 1
8.273 * [backup-simplify]: Simplify (+ 0 1) into 1
8.273 * [backup-simplify]: Simplify (sqrt 1) into 1
8.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.274 * [backup-simplify]: Simplify (+ 0 0) into 0
8.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.275 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.275 * [taylor]: Taking taylor expansion of re in im
8.275 * [backup-simplify]: Simplify re into re
8.275 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.275 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.275 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.275 * [taylor]: Taking taylor expansion of re in re
8.275 * [backup-simplify]: Simplify 0 into 0
8.275 * [backup-simplify]: Simplify 1 into 1
8.276 * [backup-simplify]: Simplify (* 1 1) into 1
8.276 * [backup-simplify]: Simplify (/ 1 1) into 1
8.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.276 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.276 * [taylor]: Taking taylor expansion of im in re
8.276 * [backup-simplify]: Simplify im into im
8.276 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.277 * [backup-simplify]: Simplify (+ 1 0) into 1
8.277 * [backup-simplify]: Simplify (sqrt 1) into 1
8.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.279 * [backup-simplify]: Simplify (+ 0 0) into 0
8.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.279 * [taylor]: Taking taylor expansion of re in re
8.279 * [backup-simplify]: Simplify 0 into 0
8.279 * [backup-simplify]: Simplify 1 into 1
8.280 * [backup-simplify]: Simplify (/ 1 1) into 1
8.280 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.280 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.280 * [taylor]: Taking taylor expansion of re in re
8.280 * [backup-simplify]: Simplify 0 into 0
8.280 * [backup-simplify]: Simplify 1 into 1
8.281 * [backup-simplify]: Simplify (* 1 1) into 1
8.281 * [backup-simplify]: Simplify (/ 1 1) into 1
8.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.281 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.281 * [taylor]: Taking taylor expansion of im in re
8.281 * [backup-simplify]: Simplify im into im
8.281 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.281 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.282 * [backup-simplify]: Simplify (+ 1 0) into 1
8.283 * [backup-simplify]: Simplify (sqrt 1) into 1
8.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.285 * [backup-simplify]: Simplify (+ 0 0) into 0
8.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.285 * [taylor]: Taking taylor expansion of re in re
8.285 * [backup-simplify]: Simplify 0 into 0
8.285 * [backup-simplify]: Simplify 1 into 1
8.286 * [backup-simplify]: Simplify (/ 1 1) into 1
8.286 * [backup-simplify]: Simplify (- 1) into -1
8.287 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.287 * [taylor]: Taking taylor expansion of 0 in im
8.287 * [backup-simplify]: Simplify 0 into 0
8.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.288 * [backup-simplify]: Simplify (- 0) into 0
8.288 * [backup-simplify]: Simplify (+ 0 0) into 0
8.288 * [taylor]: Taking taylor expansion of 0 in im
8.288 * [backup-simplify]: Simplify 0 into 0
8.288 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.291 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.292 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.293 * [backup-simplify]: Simplify (- 0) into 0
8.293 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.293 * [taylor]: Taking taylor expansion of 1/2 in im
8.293 * [backup-simplify]: Simplify 1/2 into 1/2
8.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.294 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.294 * [taylor]: Taking taylor expansion of im in im
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify 1 into 1
8.294 * [backup-simplify]: Simplify (* 1 1) into 1
8.294 * [backup-simplify]: Simplify (/ 1 1) into 1
8.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.303 * [backup-simplify]: Simplify 0 into 0
8.303 * [backup-simplify]: Simplify 0 into 0
8.303 * [backup-simplify]: Simplify 0 into 0
8.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.305 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.306 * [backup-simplify]: Simplify (+ 0 0) into 0
8.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.307 * [backup-simplify]: Simplify (- 0) into 0
8.308 * [backup-simplify]: Simplify (+ 0 0) into 0
8.308 * [taylor]: Taking taylor expansion of 0 in im
8.308 * [backup-simplify]: Simplify 0 into 0
8.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * * * [progress]: simplifying candidates
8.311 * * * * [progress]: [ 1 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (+ (* re re) (* im im)) 1/2) re)))))>
8.311 * * * * [progress]: [ 2 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 1) re)))))>
8.311 * * * * [progress]: [ 3 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
8.312 * * * * [progress]: [ 4 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (log (exp (sqrt (+ (* re re) (* im im))))) re)))))>
8.312 * * * * [progress]: [ 5 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.312 * * * * [progress]: [ 6 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re)))))>
8.312 * * * * [progress]: [ 7 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))>
8.312 * * * * [progress]: [ 8 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.312 * * * * [progress]: [ 9 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))>
8.312 * * * * [progress]: [ 10 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))>
8.312 * * * * [progress]: [ 11 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))>
8.312 * * * * [progress]: [ 12 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))>
8.312 * * * * [progress]: [ 13 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.312 * * * * [progress]: [ 14 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))))>
8.312 * * * * [progress]: [ 15 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))))>
8.313 * * * * [progress]: [ 16 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))>
8.313 * * * * [progress]: [ 17 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) 1/2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 18 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (pow (sqrt (* 2.0 (* im im))) 1) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 19 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (exp (log (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 20 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (log (exp (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 21 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 22 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (cbrt (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 23 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 24 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 25 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 26 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 27 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 28 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* 1 (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.313 * * * * [progress]: [ 29 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (posit16->real (real->posit16 (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.314 * * * * [progress]: [ 30 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1)))>
8.314 * * * * [progress]: [ 31 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.314 * * * * [progress]: [ 32 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.314 * * * * [progress]: [ 33 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.314 * * * * [progress]: [ 34 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (/ (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.314 * * * * [progress]: [ 35 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.314 * * * * [progress]: [ 36 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.314 * * * * [progress]: [ 37 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.314 * * * * [progress]: [ 38 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.314 * * * * [progress]: [ 39 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (- (sqrt (* 2.0 (* im im)))) (- (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.314 * * * * [progress]: [ 40 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.314 * * * * [progress]: [ 41 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.314 * * * * [progress]: [ 42 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.315 * * * * [progress]: [ 43 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.315 * * * * [progress]: [ 44 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.315 * * * * [progress]: [ 45 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.315 * * * * [progress]: [ 46 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 1) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.315 * * * * [progress]: [ 47 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* im im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.315 * * * * [progress]: [ 48 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* im im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.315 * * * * [progress]: [ 49 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.315 * * * * [progress]: [ 50 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt 1)) (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.315 * * * * [progress]: [ 51 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt 1)) (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.315 * * * * [progress]: [ 52 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.315 * * * * [progress]: [ 53 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) 1) (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.315 * * * * [progress]: [ 54 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.316 * * * * [progress]: [ 55 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.316 * * * * [progress]: [ 56 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.316 * * * * [progress]: [ 57 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.316 * * * * [progress]: [ 58 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.316 * * * * [progress]: [ 59 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.316 * * * * [progress]: [ 60 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) 1) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.316 * * * * [progress]: [ 61 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.316 * * * * [progress]: [ 62 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.316 * * * * [progress]: [ 63 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.316 * * * * [progress]: [ 64 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ 1 (sqrt 1)) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.316 * * * * [progress]: [ 65 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ 1 (sqrt 1)) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.316 * * * * [progress]: [ 66 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.316 * * * * [progress]: [ 67 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ 1 1) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.317 * * * * [progress]: [ 68 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.317 * * * * [progress]: [ 69 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (* 2.0 (* im im))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.317 * * * * [progress]: [ 70 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ 1 (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))))))>
8.317 * * * * [progress]: [ 71 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.317 * * * * [progress]: [ 72 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.317 * * * * [progress]: [ 73 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.317 * * * * [progress]: [ 74 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.317 * * * * [progress]: [ 75 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.317 * * * * [progress]: [ 76 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.317 * * * * [progress]: [ 77 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) 1) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.317 * * * * [progress]: [ 78 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im))))))))>
8.317 * * * * [progress]: [ 79 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im))))))>
8.317 * * * * [progress]: [ 80 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))))))>
8.318 * * * * [progress]: [ 81 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ 1 (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))))))>
8.318 * * * * [progress]: [ 82 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (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)))))))>
8.318 * * * * [progress]: [ 83 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
8.318 * * * * [progress]: [ 84 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.318 * * * * [progress]: [ 85 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (log (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)))))))>
8.318 * * * * [progress]: [ 86 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (pow (+ (sqrt (+ (* re re) (* im im))) re) 1)))))>
8.318 * * * * [progress]: [ 87 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.318 * * * * [progress]: [ 88 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (log (exp (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.318 * * * * [progress]: [ 89 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.318 * * * * [progress]: [ 90 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.318 * * * * [progress]: [ 91 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.318 * * * * [progress]: [ 92 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (/ (+ (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))))))))>
8.318 * * * * [progress]: [ 93 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.319 * * * * [progress]: [ 94 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (/ (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))))))>
8.319 * * * * [progress]: [ 95 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
8.319 * * * * [progress]: [ 96 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
8.319 * * * * [progress]: [ 97 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>
8.319 * * * * [progress]: [ 98 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ im re)))))>
8.319 * * * * [progress]: [ 99 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))>
8.319 * * * * [progress]: [ 100 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* -1 re) re)))))>
8.319 * * * * [progress]: [ 101 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.319 * * * * [progress]: [ 102 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.319 * * * * [progress]: [ 103 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* -1 (* (sqrt 2.0) im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.319 * * * * [progress]: [ 104 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2)))))))))))>
8.319 * * * * [progress]: [ 105 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))))>
8.319 * * * * [progress]: [ 106 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))))>
8.319 * * * * [progress]: [ 107 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re im)))))>
8.319 * * * * [progress]: [ 108 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* 2 re)))))>
8.320 * * * * [progress]: [ 109 / 109 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt 0))))>
8.322 * [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))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (log (sqrt (* 2.0 (* im im))))
  (exp (sqrt (* 2.0 (* im im))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (cbrt (sqrt (* 2.0 (* im im))))
  (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im))))
  (sqrt 2.0)
  (sqrt (* im im))
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (* im im))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (real->posit16 (sqrt (* 2.0 (* im im))))
  (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt (* 2.0 (* im im))))
  (- (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 1)
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* im im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* im im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt 1))
  (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt 2.0) (sqrt 1))
  (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) 1)
  (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) 1)
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt 1))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 1)
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im))))
  (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt 1))
  (/ (sqrt (* 2.0 (* im im))) (sqrt 1))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (* im im))) 1)
  (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im)))
  (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))
  (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (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)
  (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re))
  im
  re
  (* -1 re)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (* -1 (* (sqrt 2.0) im))
  (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2)))))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
  (+ re im)
  (* 2 re)
  0
8.327 * * [simplify]: iteration 1: (184 enodes)
8.387 * * [simplify]: iteration 2: (400 enodes)
8.530 * * [simplify]: iteration 3: (1077 enodes)
9.315 * * [simplify]: Extracting #0: cost 95 inf + 0
9.316 * * [simplify]: Extracting #1: cost 319 inf + 46
9.321 * * [simplify]: Extracting #2: cost 617 inf + 1829
9.335 * * [simplify]: Extracting #3: cost 714 inf + 24486
9.355 * * [simplify]: Extracting #4: cost 324 inf + 100684
9.423 * * [simplify]: Extracting #5: cost 81 inf + 178954
9.487 * * [simplify]: Extracting #6: cost 1 inf + 214706
9.551 * * [simplify]: Extracting #7: cost 0 inf + 215269
9.606 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (real->posit16 (sqrt (+ (* im im) (* re re))))
  (log (sqrt (* 2.0 (* im im))))
  (exp (sqrt (* 2.0 (* im im))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (cbrt (sqrt (* 2.0 (* im im))))
  (* (* 2.0 (* im im)) (sqrt (* 2.0 (* im im))))
  (sqrt 2.0)
  (fabs im)
  1/2
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (* im im))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (real->posit16 (sqrt (* 2.0 (* im im))))
  (log (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (log (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (/ (sqrt (* 2.0 (* im im))) (/ (+ (sqrt (+ (* im im) (* re re))) re) (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (/ (sqrt (* 2.0 (* im im))) (/ (+ (sqrt (+ (* im im) (* re re))) re) (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (* im im) (/ 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (- (sqrt (* 2.0 (* im im))))
  (- (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (fabs (cbrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (cbrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt 2.0)
  (/ (fabs im) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt 2.0)
  (/ (fabs im) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt 2.0)
  (/ (fabs im) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (sqrt (* 2.0 (* im im))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 (fabs (cbrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  1
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  1
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  1
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (* im im))))
  (/ (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (fabs (cbrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (* 2.0 (* im im)))
  (sqrt (* 2.0 (* im im)))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (* 2.0 (* im im)))
  (/ (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (fabs im))
  (/ (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (sqrt (* 2.0 (* im im)))))
  (/ (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (* im im))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (* im im) 0)))
  (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))
  (+ (+ (* im im) (* re re)) (- (* re re) (* (sqrt (+ (* im im) (* re re))) re)))
  (+ (* im im) 0)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re))
  im
  re
  (- re)
  (* im (sqrt 2.0))
  (* im (sqrt 2.0))
  (* im (- (sqrt 2.0)))
  (- (- (* (sqrt 2.0) (- (* (* (sqrt 1/2) (* im +nan.0)) re) (- (* (sqrt 1/2) (* im +nan.0))))) (/ (* +nan.0 (sqrt 2.0)) (/ (sqrt 1/2) (* im (* im im))))))
  (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) im) (/ (sqrt 2.0) (* im im)))))
  (- (* +nan.0 (- (/ (* re (sqrt 2.0)) (* im im)) (- (sqrt 2.0) (/ (* re (sqrt 2.0)) im)))))
  (+ re im)
  (* re 2)
  0
9.617 * * * [progress]: adding candidates to table
10.831 * [progress]: [Phase 3 of 3] Extracting.
10.831 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* im (- (sqrt 2.0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
10.833 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re)
10.833 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* im (- (sqrt 2.0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
10.914 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
10.982 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* im (- (sqrt 2.0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
11.045 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* im (- (sqrt 2.0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
11.117 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* im (- (sqrt 2.0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
11.200 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* im (- (sqrt 2.0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
11.312 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* im (- (sqrt 2.0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
11.499 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* im (- (sqrt 2.0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
11.675 * * * [regime]: Found split indices: #<option (#s(si 10 40) #s(si 8 112) #s(si 1 137) #s(si 7 205) #s(si 6 255))>
11.677 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* im (- (sqrt 2.0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
12.002 * [regimes]: Found splitpoints: (#s(sp 10 re -2.327249381423175e+109) #s(sp 8 re -3.4252119942142297e-274) #s(sp 1 re 8.662274821086832e-253) #s(sp 7 re 9.360599483700231e+128) #s(sp 6 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (/ (* (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (* im (- (sqrt 2.0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
12.003 * [simplify]: Simplifying:
  (if (<= re -2.327249381423175e+109) (* 0.5 (sqrt (* 2.0 (* -2 re)))) (if (<= re -3.4252119942142297e-274) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 8.662274821086832e-253) (* 0.5 (sqrt (* 2.0 (- (+ re im))))) (if (<= re 9.360599483700231e+128) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re re))))))))
12.004 * * [simplify]: iteration 1: (47 enodes)
12.008 * * [simplify]: iteration 2: (67 enodes)
12.012 * * [simplify]: iteration 3: (72 enodes)
12.017 * * [simplify]: iteration 4: (73 enodes)
12.022 * * [simplify]: Extracting #0: cost 1 inf + 0
12.022 * * [simplify]: Extracting #1: cost 4 inf + 0
12.022 * * [simplify]: Extracting #2: cost 11 inf + 0
12.022 * * [simplify]: Extracting #3: cost 14 inf + 3
12.022 * * [simplify]: Extracting #4: cost 19 inf + 138
12.023 * * [simplify]: Extracting #5: cost 23 inf + 140
12.023 * * [simplify]: Extracting #6: cost 28 inf + 209
12.023 * * [simplify]: Extracting #7: cost 29 inf + 729
12.023 * * [simplify]: Extracting #8: cost 30 inf + 812
12.024 * * [simplify]: Extracting #9: cost 20 inf + 1670
12.025 * * [simplify]: Extracting #10: cost 14 inf + 2724
12.026 * * [simplify]: Extracting #11: cost 7 inf + 4786
12.028 * * [simplify]: Extracting #12: cost 3 inf + 6652
12.030 * * [simplify]: Extracting #13: cost 1 inf + 9235
12.033 * * [simplify]: Extracting #14: cost 0 inf + 10964
12.036 * [simplify]: Simplified to:
  (if (<= re -2.327249381423175e+109) (* (sqrt (* (* -2 re) 2.0)) 0.5) (if (<= re -3.4252119942142297e-274) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* im im) (* re re))) re)))) (if (<= re 8.662274821086832e-253) (* 0.5 (sqrt (* (+ im re) (- 2.0)))) (if (<= re 9.360599483700231e+128) (* 0.5 (sqrt (* (* (/ (fabs im) (+ (sqrt (+ (* im im) (* re re))) re)) (fabs im)) 2.0))) (* (/ (sqrt (* (* im im) 2.0)) (sqrt (+ re re))) 0.5)))))
16.246 * [regime-testing]: Baseline error score: 37.47851605844344
16.251 * [regime-testing]: Oracle error score: 2.6785719128022145
16.261 * [regime-testing]: End program error score: 21.86551536741705