5.524 * [progress]: [Phase 1 of 3] Setting up.
0.011 * * * [progress]: [1/2] Preparing points
0.241 * * * [progress]: [2/2] Setting up program.
0.249 * [progress]: [Phase 2 of 3] Improving.
0.253 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.254 * * [simplify]: iteration 0: 12 enodes
0.409 * * [simplify]: iteration 1: 17 enodes
0.416 * * [simplify]: iteration 2: 24 enodes
0.429 * * [simplify]: iteration 3: 30 enodes
0.441 * * [simplify]: iteration 4: 35 enodes
0.454 * * [simplify]: iteration complete: 35 enodes
0.455 * * [simplify]: Extracting #0: cost 1 inf + 0
0.455 * * [simplify]: Extracting #1: cost 3 inf + 0
0.455 * * [simplify]: Extracting #2: cost 3 inf + 1
0.455 * * [simplify]: Extracting #3: cost 8 inf + 1
0.456 * * [simplify]: Extracting #4: cost 11 inf + 2
0.456 * * [simplify]: Extracting #5: cost 10 inf + 44
0.456 * * [simplify]: Extracting #6: cost 9 inf + 209
0.456 * * [simplify]: Extracting #7: cost 9 inf + 250
0.456 * * [simplify]: Extracting #8: cost 7 inf + 292
0.457 * * [simplify]: Extracting #9: cost 4 inf + 779
0.457 * * [simplify]: Extracting #10: cost 2 inf + 1224
0.458 * * [simplify]: Extracting #11: cost 0 inf + 1831
0.458 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.470 * * [progress]: iteration 1 / 4
0.470 * * * [progress]: picking best candidate
0.477 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
0.478 * * * [progress]: localizing error
0.521 * * * [progress]: generating rewritten candidates
0.521 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.543 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.963 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
1.101 * * * [progress]: generating series expansions
1.112 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
1.341 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.341 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.351 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.351 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.351 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.351 * [taylor]: Taking taylor expansion of re in im
1.351 * [backup-simplify]: Simplify re into re
1.363 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.363 * [taylor]: Taking taylor expansion of im in im
1.364 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify 1 into 1
1.404 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.419 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.420 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.420 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.448 * [backup-simplify]: Simplify (+ 0 0) into 0
1.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.449 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.449 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.449 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.449 * [taylor]: Taking taylor expansion of re in re
1.449 * [backup-simplify]: Simplify 0 into 0
1.449 * [backup-simplify]: Simplify 1 into 1
1.449 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.449 * [taylor]: Taking taylor expansion of im in re
1.449 * [backup-simplify]: Simplify im into im
1.449 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.449 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.449 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.450 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.451 * [backup-simplify]: Simplify (+ 0 0) into 0
1.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.452 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.452 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.452 * [taylor]: Taking taylor expansion of re in re
1.452 * [backup-simplify]: Simplify 0 into 0
1.452 * [backup-simplify]: Simplify 1 into 1
1.452 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.452 * [taylor]: Taking taylor expansion of im in re
1.452 * [backup-simplify]: Simplify im into im
1.452 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.452 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.452 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.452 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.453 * [backup-simplify]: Simplify (+ 0 0) into 0
1.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.458 * [taylor]: Taking taylor expansion of im in im
1.458 * [backup-simplify]: Simplify 0 into 0
1.458 * [backup-simplify]: Simplify 1 into 1
1.458 * [backup-simplify]: Simplify 0 into 0
1.465 * [taylor]: Taking taylor expansion of 0 in im
1.465 * [backup-simplify]: Simplify 0 into 0
1.466 * [backup-simplify]: Simplify 0 into 0
1.466 * [backup-simplify]: Simplify 1 into 1
1.485 * [backup-simplify]: Simplify (* 1 1) into 1
1.485 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.486 * [backup-simplify]: Simplify (+ 1 0) into 1
1.487 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.487 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.487 * [taylor]: Taking taylor expansion of 1/2 in im
1.487 * [backup-simplify]: Simplify 1/2 into 1/2
1.487 * [taylor]: Taking taylor expansion of im in im
1.487 * [backup-simplify]: Simplify 0 into 0
1.488 * [backup-simplify]: Simplify 1 into 1
1.493 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.502 * [backup-simplify]: Simplify 0 into 0
1.502 * [backup-simplify]: Simplify 0 into 0
1.502 * [backup-simplify]: Simplify 0 into 0
1.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.649 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.650 * [backup-simplify]: Simplify (+ 0 0) into 0
1.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.650 * [taylor]: Taking taylor expansion of 0 in im
1.650 * [backup-simplify]: Simplify 0 into 0
1.650 * [backup-simplify]: Simplify 0 into 0
1.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.657 * [backup-simplify]: Simplify 0 into 0
1.657 * [backup-simplify]: Simplify 0 into 0
1.657 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.667 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.667 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.668 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.668 * [taylor]: Taking taylor expansion of im in im
1.668 * [backup-simplify]: Simplify 0 into 0
1.668 * [backup-simplify]: Simplify 1 into 1
1.669 * [backup-simplify]: Simplify (* 1 1) into 1
1.669 * [backup-simplify]: Simplify (/ 1 1) into 1
1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.669 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.669 * [taylor]: Taking taylor expansion of re in im
1.669 * [backup-simplify]: Simplify re into re
1.669 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.670 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.670 * [backup-simplify]: Simplify (+ 1 0) into 1
1.676 * [backup-simplify]: Simplify (sqrt 1) into 1
1.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.681 * [backup-simplify]: Simplify (+ 0 0) into 0
1.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.682 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.682 * [taylor]: Taking taylor expansion of im in re
1.682 * [backup-simplify]: Simplify im into im
1.682 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.682 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.682 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.682 * [taylor]: Taking taylor expansion of re in re
1.682 * [backup-simplify]: Simplify 0 into 0
1.682 * [backup-simplify]: Simplify 1 into 1
1.683 * [backup-simplify]: Simplify (* 1 1) into 1
1.683 * [backup-simplify]: Simplify (/ 1 1) into 1
1.683 * [backup-simplify]: Simplify (+ 0 1) into 1
1.684 * [backup-simplify]: Simplify (sqrt 1) into 1
1.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.686 * [backup-simplify]: Simplify (+ 0 0) into 0
1.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.687 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.687 * [taylor]: Taking taylor expansion of im in re
1.687 * [backup-simplify]: Simplify im into im
1.687 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.687 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.687 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.687 * [taylor]: Taking taylor expansion of re in re
1.687 * [backup-simplify]: Simplify 0 into 0
1.687 * [backup-simplify]: Simplify 1 into 1
1.687 * [backup-simplify]: Simplify (* 1 1) into 1
1.688 * [backup-simplify]: Simplify (/ 1 1) into 1
1.688 * [backup-simplify]: Simplify (+ 0 1) into 1
1.689 * [backup-simplify]: Simplify (sqrt 1) into 1
1.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.691 * [backup-simplify]: Simplify (+ 0 0) into 0
1.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.692 * [taylor]: Taking taylor expansion of 1 in im
1.692 * [backup-simplify]: Simplify 1 into 1
1.692 * [taylor]: Taking taylor expansion of 0 in im
1.692 * [backup-simplify]: Simplify 0 into 0
1.692 * [backup-simplify]: Simplify 1 into 1
1.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.695 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.706 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.706 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.706 * [taylor]: Taking taylor expansion of 1/2 in im
1.706 * [backup-simplify]: Simplify 1/2 into 1/2
1.706 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.706 * [taylor]: Taking taylor expansion of im in im
1.706 * [backup-simplify]: Simplify 0 into 0
1.706 * [backup-simplify]: Simplify 1 into 1
1.706 * [backup-simplify]: Simplify (* 1 1) into 1
1.707 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.713 * [backup-simplify]: Simplify (+ 0 0) into 0
1.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.713 * [taylor]: Taking taylor expansion of 0 in im
1.713 * [backup-simplify]: Simplify 0 into 0
1.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.719 * [backup-simplify]: Simplify 0 into 0
1.719 * [backup-simplify]: Simplify 0 into 0
1.719 * [backup-simplify]: Simplify 0 into 0
1.719 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.720 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.720 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.720 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.720 * [taylor]: Taking taylor expansion of im in im
1.720 * [backup-simplify]: Simplify 0 into 0
1.720 * [backup-simplify]: Simplify 1 into 1
1.721 * [backup-simplify]: Simplify (* 1 1) into 1
1.721 * [backup-simplify]: Simplify (/ 1 1) into 1
1.721 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.722 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.722 * [taylor]: Taking taylor expansion of re in im
1.722 * [backup-simplify]: Simplify re into re
1.722 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.722 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.723 * [backup-simplify]: Simplify (+ 1 0) into 1
1.723 * [backup-simplify]: Simplify (sqrt 1) into 1
1.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.725 * [backup-simplify]: Simplify (+ 0 0) into 0
1.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.725 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.725 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.725 * [taylor]: Taking taylor expansion of im in re
1.725 * [backup-simplify]: Simplify im into im
1.726 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.726 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.726 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.726 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.726 * [taylor]: Taking taylor expansion of re in re
1.726 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify 1 into 1
1.726 * [backup-simplify]: Simplify (* 1 1) into 1
1.726 * [backup-simplify]: Simplify (/ 1 1) into 1
1.727 * [backup-simplify]: Simplify (+ 0 1) into 1
1.727 * [backup-simplify]: Simplify (sqrt 1) into 1
1.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.728 * [backup-simplify]: Simplify (+ 0 0) into 0
1.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.729 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.729 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.729 * [taylor]: Taking taylor expansion of im in re
1.729 * [backup-simplify]: Simplify im into im
1.729 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.729 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.729 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.729 * [taylor]: Taking taylor expansion of re in re
1.729 * [backup-simplify]: Simplify 0 into 0
1.729 * [backup-simplify]: Simplify 1 into 1
1.730 * [backup-simplify]: Simplify (* 1 1) into 1
1.730 * [backup-simplify]: Simplify (/ 1 1) into 1
1.730 * [backup-simplify]: Simplify (+ 0 1) into 1
1.731 * [backup-simplify]: Simplify (sqrt 1) into 1
1.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.732 * [backup-simplify]: Simplify (+ 0 0) into 0
1.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.733 * [taylor]: Taking taylor expansion of 1 in im
1.733 * [backup-simplify]: Simplify 1 into 1
1.733 * [taylor]: Taking taylor expansion of 0 in im
1.733 * [backup-simplify]: Simplify 0 into 0
1.733 * [backup-simplify]: Simplify 1 into 1
1.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.735 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.736 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.736 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.736 * [taylor]: Taking taylor expansion of 1/2 in im
1.736 * [backup-simplify]: Simplify 1/2 into 1/2
1.736 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.736 * [taylor]: Taking taylor expansion of im in im
1.736 * [backup-simplify]: Simplify 0 into 0
1.736 * [backup-simplify]: Simplify 1 into 1
1.737 * [backup-simplify]: Simplify (* 1 1) into 1
1.737 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.738 * [backup-simplify]: Simplify 0 into 0
1.738 * [backup-simplify]: Simplify 0 into 0
1.738 * [backup-simplify]: Simplify 0 into 0
1.738 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.743 * [backup-simplify]: Simplify (+ 0 0) into 0
1.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.744 * [taylor]: Taking taylor expansion of 0 in im
1.744 * [backup-simplify]: Simplify 0 into 0
1.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.746 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.757 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
1.757 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
1.757 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
1.757 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
1.757 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.757 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.757 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.758 * [taylor]: Taking taylor expansion of re in im
1.758 * [backup-simplify]: Simplify re into re
1.758 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.758 * [taylor]: Taking taylor expansion of im in im
1.758 * [backup-simplify]: Simplify 0 into 0
1.758 * [backup-simplify]: Simplify 1 into 1
1.758 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.758 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.758 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.758 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.759 * [backup-simplify]: Simplify (+ 0 0) into 0
1.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.759 * [taylor]: Taking taylor expansion of re in im
1.759 * [backup-simplify]: Simplify re into re
1.759 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
1.759 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.759 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.759 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.759 * [taylor]: Taking taylor expansion of re in re
1.759 * [backup-simplify]: Simplify 0 into 0
1.759 * [backup-simplify]: Simplify 1 into 1
1.759 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.759 * [taylor]: Taking taylor expansion of im in re
1.759 * [backup-simplify]: Simplify im into im
1.759 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.760 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.760 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.760 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.760 * [backup-simplify]: Simplify (+ 0 0) into 0
1.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.761 * [taylor]: Taking taylor expansion of re in re
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 1 into 1
1.761 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
1.761 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.761 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.761 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.761 * [taylor]: Taking taylor expansion of re in re
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 1 into 1
1.761 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.761 * [taylor]: Taking taylor expansion of im in re
1.761 * [backup-simplify]: Simplify im into im
1.761 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.761 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.761 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.761 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.762 * [backup-simplify]: Simplify (+ 0 0) into 0
1.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.762 * [taylor]: Taking taylor expansion of re in re
1.762 * [backup-simplify]: Simplify 0 into 0
1.762 * [backup-simplify]: Simplify 1 into 1
1.793 * [backup-simplify]: Simplify (- 0) into 0
1.793 * [backup-simplify]: Simplify (+ im 0) into im
1.793 * [taylor]: Taking taylor expansion of im in im
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [backup-simplify]: Simplify 1 into 1
1.793 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify (- 1) into -1
1.794 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.794 * [taylor]: Taking taylor expansion of -1 in im
1.794 * [backup-simplify]: Simplify -1 into -1
1.794 * [backup-simplify]: Simplify -1 into -1
1.794 * [backup-simplify]: Simplify 1 into 1
1.795 * [backup-simplify]: Simplify (* 1 1) into 1
1.795 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.796 * [backup-simplify]: Simplify (+ 1 0) into 1
1.797 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.797 * [backup-simplify]: Simplify (- 0) into 0
1.797 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
1.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
1.798 * [taylor]: Taking taylor expansion of 1/2 in im
1.798 * [backup-simplify]: Simplify 1/2 into 1/2
1.798 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.798 * [taylor]: Taking taylor expansion of im in im
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify 1 into 1
1.798 * [backup-simplify]: Simplify (/ 1 1) into 1
1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.850 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.850 * [backup-simplify]: Simplify (+ 0 0) into 0
1.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.850 * [backup-simplify]: Simplify (- 0) into 0
1.851 * [backup-simplify]: Simplify (+ 0 0) into 0
1.851 * [taylor]: Taking taylor expansion of 0 in im
1.851 * [backup-simplify]: Simplify 0 into 0
1.851 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.863 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
1.872 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
1.873 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
1.873 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
1.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.873 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.873 * [taylor]: Taking taylor expansion of im in im
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 1 into 1
1.879 * [backup-simplify]: Simplify (* 1 1) into 1
1.879 * [backup-simplify]: Simplify (/ 1 1) into 1
1.879 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.879 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.879 * [taylor]: Taking taylor expansion of re in im
1.879 * [backup-simplify]: Simplify re into re
1.880 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.880 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.880 * [backup-simplify]: Simplify (+ 1 0) into 1
1.881 * [backup-simplify]: Simplify (sqrt 1) into 1
1.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.882 * [backup-simplify]: Simplify (+ 0 0) into 0
1.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.883 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.883 * [taylor]: Taking taylor expansion of re in im
1.883 * [backup-simplify]: Simplify re into re
1.883 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.883 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
1.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.883 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.883 * [taylor]: Taking taylor expansion of im in re
1.883 * [backup-simplify]: Simplify im into im
1.883 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.884 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.884 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.884 * [taylor]: Taking taylor expansion of re in re
1.884 * [backup-simplify]: Simplify 0 into 0
1.884 * [backup-simplify]: Simplify 1 into 1
1.912 * [backup-simplify]: Simplify (* 1 1) into 1
1.928 * [backup-simplify]: Simplify (/ 1 1) into 1
1.929 * [backup-simplify]: Simplify (+ 0 1) into 1
1.929 * [backup-simplify]: Simplify (sqrt 1) into 1
1.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.931 * [backup-simplify]: Simplify (+ 0 0) into 0
1.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.932 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.932 * [taylor]: Taking taylor expansion of re in re
1.932 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify 1 into 1
1.932 * [backup-simplify]: Simplify (/ 1 1) into 1
1.932 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
1.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.933 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.933 * [taylor]: Taking taylor expansion of im in re
1.933 * [backup-simplify]: Simplify im into im
1.933 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.933 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.933 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.933 * [taylor]: Taking taylor expansion of re in re
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 1 into 1
1.933 * [backup-simplify]: Simplify (* 1 1) into 1
1.934 * [backup-simplify]: Simplify (/ 1 1) into 1
1.934 * [backup-simplify]: Simplify (+ 0 1) into 1
1.934 * [backup-simplify]: Simplify (sqrt 1) into 1
1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.940 * [backup-simplify]: Simplify (+ 0 0) into 0
1.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.941 * [taylor]: Taking taylor expansion of re in re
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (/ 1 1) into 1
1.942 * [backup-simplify]: Simplify (- 1) into -1
1.943 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.943 * [taylor]: Taking taylor expansion of 0 in im
1.943 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.944 * [backup-simplify]: Simplify (- 0) into 0
1.948 * [backup-simplify]: Simplify (+ 0 0) into 0
1.949 * [taylor]: Taking taylor expansion of 0 in im
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.962 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.963 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.964 * [backup-simplify]: Simplify (- 0) into 0
1.964 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.964 * [taylor]: Taking taylor expansion of 1/2 in im
1.964 * [backup-simplify]: Simplify 1/2 into 1/2
1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.964 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.965 * [taylor]: Taking taylor expansion of im in im
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 1 into 1
1.965 * [backup-simplify]: Simplify (* 1 1) into 1
1.965 * [backup-simplify]: Simplify (/ 1 1) into 1
1.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.980 * [backup-simplify]: Simplify (+ 0 0) into 0
1.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.982 * [backup-simplify]: Simplify (- 0) into 0
1.982 * [backup-simplify]: Simplify (+ 0 0) into 0
1.983 * [taylor]: Taking taylor expansion of 0 in im
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
1.995 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
1.995 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.995 * [taylor]: Taking taylor expansion of re in im
1.995 * [backup-simplify]: Simplify re into re
1.995 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.995 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.995 * [taylor]: Taking taylor expansion of im in im
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify 1 into 1
1.996 * [backup-simplify]: Simplify (* 1 1) into 1
1.996 * [backup-simplify]: Simplify (/ 1 1) into 1
1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.996 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.996 * [taylor]: Taking taylor expansion of re in im
1.996 * [backup-simplify]: Simplify re into re
1.996 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.997 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.997 * [backup-simplify]: Simplify (+ 1 0) into 1
1.998 * [backup-simplify]: Simplify (sqrt 1) into 1
1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.999 * [backup-simplify]: Simplify (+ 0 0) into 0
2.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.008 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.009 * [taylor]: Taking taylor expansion of re in re
2.009 * [backup-simplify]: Simplify 0 into 0
2.009 * [backup-simplify]: Simplify 1 into 1
2.009 * [backup-simplify]: Simplify (/ 1 1) into 1
2.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.009 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.009 * [taylor]: Taking taylor expansion of im in re
2.009 * [backup-simplify]: Simplify im into im
2.009 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.010 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.010 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.010 * [taylor]: Taking taylor expansion of re in re
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 1 into 1
2.016 * [backup-simplify]: Simplify (* 1 1) into 1
2.017 * [backup-simplify]: Simplify (/ 1 1) into 1
2.018 * [backup-simplify]: Simplify (+ 0 1) into 1
2.018 * [backup-simplify]: Simplify (sqrt 1) into 1
2.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.027 * [backup-simplify]: Simplify (+ 0 0) into 0
2.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.028 * [taylor]: Taking taylor expansion of re in re
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 1 into 1
2.028 * [backup-simplify]: Simplify (/ 1 1) into 1
2.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.028 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.028 * [taylor]: Taking taylor expansion of im in re
2.028 * [backup-simplify]: Simplify im into im
2.029 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.029 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.029 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.029 * [taylor]: Taking taylor expansion of re in re
2.029 * [backup-simplify]: Simplify 0 into 0
2.029 * [backup-simplify]: Simplify 1 into 1
2.030 * [backup-simplify]: Simplify (* 1 1) into 1
2.030 * [backup-simplify]: Simplify (/ 1 1) into 1
2.031 * [backup-simplify]: Simplify (+ 0 1) into 1
2.031 * [backup-simplify]: Simplify (sqrt 1) into 1
2.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.033 * [backup-simplify]: Simplify (+ 0 0) into 0
2.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.034 * [backup-simplify]: Simplify (+ 1 1) into 2
2.034 * [taylor]: Taking taylor expansion of 2 in im
2.034 * [backup-simplify]: Simplify 2 into 2
2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.035 * [backup-simplify]: Simplify (+ 0 0) into 0
2.035 * [taylor]: Taking taylor expansion of 0 in im
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 2 into 2
2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.043 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.045 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.045 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.045 * [taylor]: Taking taylor expansion of 1/2 in im
2.045 * [backup-simplify]: Simplify 1/2 into 1/2
2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.045 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.045 * [taylor]: Taking taylor expansion of im in im
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 1 into 1
2.046 * [backup-simplify]: Simplify (* 1 1) into 1
2.046 * [backup-simplify]: Simplify (/ 1 1) into 1
2.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.056 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.064 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.067 * [backup-simplify]: Simplify (+ 0 0) into 0
2.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.069 * [backup-simplify]: Simplify (+ 0 0) into 0
2.069 * [taylor]: Taking taylor expansion of 0 in im
2.069 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
2.080 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
2.081 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)))
2.081 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0
2.081 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
2.081 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.081 * [taylor]: Taking taylor expansion of 2.0 in im
2.081 * [backup-simplify]: Simplify 2.0 into 2.0
2.082 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.082 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
2.082 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
2.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.082 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.082 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.082 * [taylor]: Taking taylor expansion of re in im
2.082 * [backup-simplify]: Simplify re into re
2.082 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.082 * [taylor]: Taking taylor expansion of im in im
2.082 * [backup-simplify]: Simplify 0 into 0
2.082 * [backup-simplify]: Simplify 1 into 1
2.082 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.083 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.083 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.083 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.083 * [backup-simplify]: Simplify (+ 0 0) into 0
2.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.083 * [taylor]: Taking taylor expansion of re in im
2.083 * [backup-simplify]: Simplify re into re
2.083 * [backup-simplify]: Simplify (- re) into (- re)
2.083 * [backup-simplify]: Simplify (+ re (- re)) into 0
2.084 * [backup-simplify]: Simplify (- 0) into 0
2.084 * [backup-simplify]: Simplify (+ 0 0) into 0
2.085 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.085 * [backup-simplify]: Simplify (* 1 1) into 1
2.086 * [backup-simplify]: Simplify (+ 0 1) into 1
2.086 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
2.087 * [backup-simplify]: Simplify (- 0) into 0
2.087 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
2.087 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
2.088 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
2.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.089 * [backup-simplify]: Simplify (+ 0 0) into 0
2.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
2.090 * [backup-simplify]: Simplify (- 0) into 0
2.090 * [backup-simplify]: Simplify (+ 0 0) into 0
2.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
2.090 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
2.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.090 * [taylor]: Taking taylor expansion of 2.0 in re
2.090 * [backup-simplify]: Simplify 2.0 into 2.0
2.191 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.211 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
2.211 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
2.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.211 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.212 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.212 * [taylor]: Taking taylor expansion of re in re
2.212 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify 1 into 1
2.212 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.212 * [taylor]: Taking taylor expansion of im in re
2.214 * [backup-simplify]: Simplify im into im
2.214 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.214 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.214 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.215 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.215 * [backup-simplify]: Simplify (+ 0 0) into 0
2.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.215 * [taylor]: Taking taylor expansion of re in re
2.215 * [backup-simplify]: Simplify 0 into 0
2.215 * [backup-simplify]: Simplify 1 into 1
2.216 * [backup-simplify]: Simplify (- 0) into 0
2.216 * [backup-simplify]: Simplify (+ im 0) into im
2.216 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.216 * [backup-simplify]: Simplify (- 1) into -1
2.216 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.216 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
2.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
2.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.216 * [taylor]: Taking taylor expansion of 2.0 in re
2.216 * [backup-simplify]: Simplify 2.0 into 2.0
2.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.217 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
2.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
2.217 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.217 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.217 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.217 * [taylor]: Taking taylor expansion of re in re
2.217 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify 1 into 1
2.217 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.217 * [taylor]: Taking taylor expansion of im in re
2.217 * [backup-simplify]: Simplify im into im
2.217 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.218 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.218 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.218 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.218 * [backup-simplify]: Simplify (+ 0 0) into 0
2.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.218 * [taylor]: Taking taylor expansion of re in re
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify 1 into 1
2.218 * [backup-simplify]: Simplify (- 0) into 0
2.218 * [backup-simplify]: Simplify (+ im 0) into im
2.219 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.219 * [backup-simplify]: Simplify (- 1) into -1
2.219 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.219 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
2.221 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
2.222 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
2.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.222 * [taylor]: Taking taylor expansion of 2.0 in im
2.222 * [backup-simplify]: Simplify 2.0 into 2.0
2.222 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.222 * [taylor]: Taking taylor expansion of (sqrt im) in im
2.222 * [taylor]: Taking taylor expansion of im in im
2.222 * [backup-simplify]: Simplify 0 into 0
2.222 * [backup-simplify]: Simplify 1 into 1
2.224 * [backup-simplify]: Simplify (sqrt 0) into 0
2.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.231 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.231 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.232 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
2.232 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
2.232 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
2.232 * [taylor]: Taking taylor expansion of 1/2 in im
2.232 * [backup-simplify]: Simplify 1/2 into 1/2
2.233 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
2.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.233 * [taylor]: Taking taylor expansion of 2.0 in im
2.233 * [backup-simplify]: Simplify 2.0 into 2.0
2.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.234 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
2.234 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.234 * [taylor]: Taking taylor expansion of im in im
2.234 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify 1 into 1
2.235 * [backup-simplify]: Simplify (/ 1 1) into 1
2.235 * [backup-simplify]: Simplify (sqrt 0) into 0
2.237 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.250 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.251 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.252 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.257 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.258 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.262 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.264 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
2.266 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.269 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.270 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.273 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.274 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.282 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re))))))))
2.283 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))
2.283 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0
2.283 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
2.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.283 * [taylor]: Taking taylor expansion of 2.0 in im
2.283 * [backup-simplify]: Simplify 2.0 into 2.0
2.284 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.284 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
2.284 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
2.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.285 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.285 * [taylor]: Taking taylor expansion of im in im
2.285 * [backup-simplify]: Simplify 0 into 0
2.285 * [backup-simplify]: Simplify 1 into 1
2.285 * [backup-simplify]: Simplify (* 1 1) into 1
2.285 * [backup-simplify]: Simplify (/ 1 1) into 1
2.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.285 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.285 * [taylor]: Taking taylor expansion of re in im
2.285 * [backup-simplify]: Simplify re into re
2.285 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.286 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.286 * [backup-simplify]: Simplify (+ 1 0) into 1
2.287 * [backup-simplify]: Simplify (sqrt 1) into 1
2.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.289 * [backup-simplify]: Simplify (+ 0 0) into 0
2.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.289 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.289 * [taylor]: Taking taylor expansion of re in im
2.289 * [backup-simplify]: Simplify re into re
2.289 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.290 * [backup-simplify]: Simplify (+ 1 0) into 1
2.290 * [backup-simplify]: Simplify (sqrt 0) into 0
2.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.292 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
2.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.292 * [taylor]: Taking taylor expansion of 2.0 in re
2.293 * [backup-simplify]: Simplify 2.0 into 2.0
2.293 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.294 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
2.294 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.294 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.294 * [taylor]: Taking taylor expansion of im in re
2.294 * [backup-simplify]: Simplify im into im
2.294 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.294 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.294 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.294 * [taylor]: Taking taylor expansion of re in re
2.294 * [backup-simplify]: Simplify 0 into 0
2.294 * [backup-simplify]: Simplify 1 into 1
2.295 * [backup-simplify]: Simplify (* 1 1) into 1
2.295 * [backup-simplify]: Simplify (/ 1 1) into 1
2.296 * [backup-simplify]: Simplify (+ 0 1) into 1
2.296 * [backup-simplify]: Simplify (sqrt 1) into 1
2.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.298 * [backup-simplify]: Simplify (+ 0 0) into 0
2.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.299 * [taylor]: Taking taylor expansion of re in re
2.299 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify 1 into 1
2.299 * [backup-simplify]: Simplify (/ 1 1) into 1
2.300 * [backup-simplify]: Simplify (- 1) into -1
2.300 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.301 * [backup-simplify]: Simplify (- 0) into 0
2.302 * [backup-simplify]: Simplify (+ 0 0) into 0
2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.304 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.305 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.306 * [backup-simplify]: Simplify (- 0) into 0
2.306 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.306 * [backup-simplify]: Simplify (sqrt 0) into 0
2.307 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
2.307 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
2.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.307 * [taylor]: Taking taylor expansion of 2.0 in re
2.307 * [backup-simplify]: Simplify 2.0 into 2.0
2.307 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.308 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
2.308 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.308 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.308 * [taylor]: Taking taylor expansion of im in re
2.308 * [backup-simplify]: Simplify im into im
2.308 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.308 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.308 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.308 * [taylor]: Taking taylor expansion of re in re
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify 1 into 1
2.308 * [backup-simplify]: Simplify (* 1 1) into 1
2.309 * [backup-simplify]: Simplify (/ 1 1) into 1
2.309 * [backup-simplify]: Simplify (+ 0 1) into 1
2.310 * [backup-simplify]: Simplify (sqrt 1) into 1
2.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.311 * [backup-simplify]: Simplify (+ 0 0) into 0
2.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.312 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.312 * [taylor]: Taking taylor expansion of re in re
2.312 * [backup-simplify]: Simplify 0 into 0
2.312 * [backup-simplify]: Simplify 1 into 1
2.313 * [backup-simplify]: Simplify (/ 1 1) into 1
2.313 * [backup-simplify]: Simplify (- 1) into -1
2.313 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.314 * [backup-simplify]: Simplify (- 0) into 0
2.315 * [backup-simplify]: Simplify (+ 0 0) into 0
2.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.317 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.318 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.319 * [backup-simplify]: Simplify (- 0) into 0
2.319 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.320 * [backup-simplify]: Simplify (sqrt 0) into 0
2.320 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
2.321 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.321 * [taylor]: Taking taylor expansion of 0 in im
2.321 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
2.322 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
2.322 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.322 * [taylor]: Taking taylor expansion of +nan.0 in im
2.322 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.322 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.322 * [taylor]: Taking taylor expansion of 2.0 in im
2.322 * [backup-simplify]: Simplify 2.0 into 2.0
2.323 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.323 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.323 * [taylor]: Taking taylor expansion of im in im
2.323 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify 1 into 1
2.324 * [backup-simplify]: Simplify (* 1 1) into 1
2.325 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.327 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.327 * [backup-simplify]: Simplify (- 0) into 0
2.327 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.331 * [backup-simplify]: Simplify (+ 0 0) into 0
2.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.333 * [backup-simplify]: Simplify (- 0) into 0
2.333 * [backup-simplify]: Simplify (+ 0 0) into 0
2.334 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
2.335 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.337 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
2.337 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
2.337 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
2.337 * [taylor]: Taking taylor expansion of +nan.0 in im
2.337 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.337 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
2.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.337 * [taylor]: Taking taylor expansion of 2.0 in im
2.338 * [backup-simplify]: Simplify 2.0 into 2.0
2.338 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.339 * [taylor]: Taking taylor expansion of (pow im 4) in im
2.339 * [taylor]: Taking taylor expansion of im in im
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify 1 into 1
2.345 * [backup-simplify]: Simplify (* 1 1) into 1
2.345 * [backup-simplify]: Simplify (* 1 1) into 1
2.345 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.361 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
2.362 * [backup-simplify]: Simplify (- 0) into 0
2.362 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
2.367 * [backup-simplify]: Simplify (- 0) into 0
2.367 * [backup-simplify]: Simplify 0 into 0
2.367 * [backup-simplify]: Simplify 0 into 0
2.367 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.371 * [backup-simplify]: Simplify (+ 0 0) into 0
2.372 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
2.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.379 * [backup-simplify]: Simplify (- 0) into 0
2.379 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
2.380 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
2.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.383 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
2.383 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
2.383 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
2.383 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
2.383 * [taylor]: Taking taylor expansion of +nan.0 in im
2.383 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.383 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
2.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.383 * [taylor]: Taking taylor expansion of 2.0 in im
2.383 * [backup-simplify]: Simplify 2.0 into 2.0
2.384 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.385 * [taylor]: Taking taylor expansion of (pow im 4) in im
2.385 * [taylor]: Taking taylor expansion of im in im
2.385 * [backup-simplify]: Simplify 0 into 0
2.385 * [backup-simplify]: Simplify 1 into 1
2.386 * [backup-simplify]: Simplify (* 1 1) into 1
2.386 * [backup-simplify]: Simplify (* 1 1) into 1
2.387 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.387 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
2.387 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
2.387 * [taylor]: Taking taylor expansion of +nan.0 in im
2.387 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.387 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
2.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.387 * [taylor]: Taking taylor expansion of 2.0 in im
2.387 * [backup-simplify]: Simplify 2.0 into 2.0
2.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.389 * [taylor]: Taking taylor expansion of (pow im 6) in im
2.389 * [taylor]: Taking taylor expansion of im in im
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify 1 into 1
2.390 * [backup-simplify]: Simplify (* 1 1) into 1
2.390 * [backup-simplify]: Simplify (* 1 1) into 1
2.391 * [backup-simplify]: Simplify (* 1 1) into 1
2.392 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.625 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.663 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
2.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.725 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
2.728 * [backup-simplify]: Simplify (- 0) into 0
2.728 * [backup-simplify]: Simplify (+ 0 0) into 0
2.728 * [backup-simplify]: Simplify (- 0) into 0
2.728 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))
2.735 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0
2.735 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
2.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.735 * [taylor]: Taking taylor expansion of 2.0 in im
2.735 * [backup-simplify]: Simplify 2.0 into 2.0
2.736 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
2.737 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
2.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.743 * [taylor]: Taking taylor expansion of re in im
2.743 * [backup-simplify]: Simplify re into re
2.743 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.743 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.743 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.743 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.743 * [taylor]: Taking taylor expansion of im in im
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (* 1 1) into 1
2.744 * [backup-simplify]: Simplify (/ 1 1) into 1
2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.744 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.744 * [taylor]: Taking taylor expansion of re in im
2.744 * [backup-simplify]: Simplify re into re
2.744 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.745 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.745 * [backup-simplify]: Simplify (+ 1 0) into 1
2.745 * [backup-simplify]: Simplify (sqrt 1) into 1
2.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.747 * [backup-simplify]: Simplify (+ 0 0) into 0
2.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.749 * [backup-simplify]: Simplify (+ 0 1) into 1
2.749 * [backup-simplify]: Simplify (sqrt 0) into 0
2.750 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.751 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
2.751 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.751 * [taylor]: Taking taylor expansion of 2.0 in re
2.751 * [backup-simplify]: Simplify 2.0 into 2.0
2.751 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
2.752 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.752 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.752 * [taylor]: Taking taylor expansion of re in re
2.752 * [backup-simplify]: Simplify 0 into 0
2.752 * [backup-simplify]: Simplify 1 into 1
2.752 * [backup-simplify]: Simplify (/ 1 1) into 1
2.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.752 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.753 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.753 * [taylor]: Taking taylor expansion of im in re
2.753 * [backup-simplify]: Simplify im into im
2.753 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.753 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.753 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.753 * [taylor]: Taking taylor expansion of re in re
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 1 into 1
2.753 * [backup-simplify]: Simplify (* 1 1) into 1
2.754 * [backup-simplify]: Simplify (/ 1 1) into 1
2.754 * [backup-simplify]: Simplify (+ 0 1) into 1
2.755 * [backup-simplify]: Simplify (sqrt 1) into 1
2.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.765 * [backup-simplify]: Simplify (+ 0 0) into 0
2.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.766 * [backup-simplify]: Simplify (+ 1 1) into 2
2.766 * [backup-simplify]: Simplify (sqrt 0) into 0
2.768 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.768 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
2.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.768 * [taylor]: Taking taylor expansion of 2.0 in re
2.768 * [backup-simplify]: Simplify 2.0 into 2.0
2.768 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
2.769 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.769 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.769 * [taylor]: Taking taylor expansion of re in re
2.769 * [backup-simplify]: Simplify 0 into 0
2.769 * [backup-simplify]: Simplify 1 into 1
2.769 * [backup-simplify]: Simplify (/ 1 1) into 1
2.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.770 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.770 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.770 * [taylor]: Taking taylor expansion of im in re
2.770 * [backup-simplify]: Simplify im into im
2.770 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.770 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.770 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.770 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.770 * [taylor]: Taking taylor expansion of re in re
2.770 * [backup-simplify]: Simplify 0 into 0
2.770 * [backup-simplify]: Simplify 1 into 1
2.771 * [backup-simplify]: Simplify (* 1 1) into 1
2.772 * [backup-simplify]: Simplify (/ 1 1) into 1
2.773 * [backup-simplify]: Simplify (+ 0 1) into 1
2.773 * [backup-simplify]: Simplify (sqrt 1) into 1
2.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.775 * [backup-simplify]: Simplify (+ 0 0) into 0
2.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.776 * [backup-simplify]: Simplify (+ 1 1) into 2
2.777 * [backup-simplify]: Simplify (sqrt 0) into 0
2.778 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.791 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.791 * [taylor]: Taking taylor expansion of 0 in im
2.791 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.795 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.795 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.795 * [taylor]: Taking taylor expansion of +nan.0 in im
2.795 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.795 * [taylor]: Taking taylor expansion of 2.0 in im
2.795 * [backup-simplify]: Simplify 2.0 into 2.0
2.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.797 * [backup-simplify]: Simplify 0 into 0
2.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.798 * [backup-simplify]: Simplify (+ 0 0) into 0
2.825 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.826 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.844 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.844 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.844 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.844 * [taylor]: Taking taylor expansion of +nan.0 in im
2.844 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.844 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.844 * [taylor]: Taking taylor expansion of 2.0 in im
2.844 * [backup-simplify]: Simplify 2.0 into 2.0
2.844 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.847 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.848 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.850 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.850 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.867 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.870 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.871 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.873 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
2.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.877 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
2.877 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
2.877 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
2.877 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.877 * [taylor]: Taking taylor expansion of +nan.0 in im
2.877 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.877 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.877 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.877 * [taylor]: Taking taylor expansion of 2.0 in im
2.877 * [backup-simplify]: Simplify 2.0 into 2.0
2.877 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.878 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.878 * [taylor]: Taking taylor expansion of im in im
2.878 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 1 into 1
2.879 * [backup-simplify]: Simplify (* 1 1) into 1
2.880 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.880 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.880 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.880 * [taylor]: Taking taylor expansion of +nan.0 in im
2.880 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.880 * [taylor]: Taking taylor expansion of 2.0 in im
2.880 * [backup-simplify]: Simplify 2.0 into 2.0
2.881 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.884 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.884 * [backup-simplify]: Simplify (+ 0 0) into 0
2.889 * [backup-simplify]: Simplify (- 0) into 0
2.889 * [backup-simplify]: Simplify 0 into 0
2.890 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.892 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.893 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.899 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.899 * [backup-simplify]: Simplify (- 0) into 0
2.899 * [backup-simplify]: Simplify 0 into 0
2.899 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.946 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.949 * [backup-simplify]: Simplify (+ 0 0) into 0
2.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.950 * [backup-simplify]: Simplify (+ 0 0) into 0
2.951 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
2.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.955 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
2.955 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
2.955 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
2.955 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.955 * [taylor]: Taking taylor expansion of +nan.0 in im
2.955 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.955 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.955 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.955 * [taylor]: Taking taylor expansion of 2.0 in im
2.955 * [backup-simplify]: Simplify 2.0 into 2.0
2.955 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.956 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.956 * [taylor]: Taking taylor expansion of im in im
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [backup-simplify]: Simplify 1 into 1
2.957 * [backup-simplify]: Simplify (* 1 1) into 1
2.957 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.958 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.958 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.958 * [taylor]: Taking taylor expansion of +nan.0 in im
2.958 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.958 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.958 * [taylor]: Taking taylor expansion of 2.0 in im
2.958 * [backup-simplify]: Simplify 2.0 into 2.0
2.958 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.969 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.970 * [backup-simplify]: Simplify (+ 0 0) into 0
2.970 * [backup-simplify]: Simplify (- 0) into 0
2.970 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.977 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
2.978 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.979 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.981 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
2.984 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
2.985 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.991 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
2.992 * * * [progress]: simplifying candidates
3.035 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re))))))))
  0
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
3.039 * * [simplify]: iteration 0: 106 enodes
3.226 * * [simplify]: iteration 1: 227 enodes
3.417 * * [simplify]: iteration 2: 615 enodes
5.009 * * [simplify]: iteration 3: 2172 enodes
8.759 * * [simplify]: iteration complete: 5003 enodes
8.760 * * [simplify]: Extracting #0: cost 47 inf + 0
8.760 * * [simplify]: Extracting #1: cost 165 inf + 5
8.771 * * [simplify]: Extracting #2: cost 715 inf + 675
8.785 * * [simplify]: Extracting #3: cost 1348 inf + 21016
8.854 * * [simplify]: Extracting #4: cost 686 inf + 161088
9.259 * * [simplify]: Extracting #5: cost 122 inf + 264415
9.532 * * [simplify]: Extracting #6: cost 64 inf + 282973
9.774 * * [simplify]: Extracting #7: cost 16 inf + 289307
10.055 * * [simplify]: Extracting #8: cost 0 inf + 293995
10.255 * [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))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* re (* re re)) (* re (* re re)))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (log (- (sqrt (+ (* im im) (* re re))) re))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (- (sqrt (+ (* im im) (* re re))) re))
  (* (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)) (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* re (* re re)))
  (+ (+ (+ (* im im) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) (* re re))
  (- re)
  (+ 0 (* im im))
  (+ (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)
  (log (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (exp (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))))
  (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)) (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))
  (sqrt 2.0)
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* 2.0 (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* re (* re re)))))
  (sqrt (+ (+ (+ (* im im) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) (* re re)))
  (sqrt (* 2.0 (+ 0 (* im im))))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (sqrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)))
  im
  re
  (- re)
  (- im re)
  0
  (* re -2)
  (* (* +nan.0 (sqrt 2.0)) (+ (- (* im im)) (- im (* re im))))
  0
  (+ (- (* (sqrt 2.0) +nan.0)) (* +nan.0 (- (/ (sqrt 2.0) (* re re)) (/ (sqrt 2.0) re))))
10.292 * * * [progress]: adding candidates to table
11.544 * * [progress]: iteration 2 / 4
11.544 * * * [progress]: picking best candidate
11.743 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
11.751 * * * [progress]: localizing error
12.095 * * * [progress]: generating rewritten candidates
12.095 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
12.113 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
12.137 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
12.506 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
12.678 * * * [progress]: generating series expansions
12.681 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
12.683 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
12.683 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
12.683 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
12.683 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
12.683 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.683 * [taylor]: Taking taylor expansion of re in im
12.683 * [backup-simplify]: Simplify re into re
12.683 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.683 * [taylor]: Taking taylor expansion of im in im
12.683 * [backup-simplify]: Simplify 0 into 0
12.683 * [backup-simplify]: Simplify 1 into 1
12.683 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.683 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.683 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.684 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.713 * [backup-simplify]: Simplify (+ 0 0) into 0
12.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.714 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.714 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.714 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.714 * [taylor]: Taking taylor expansion of re in re
12.714 * [backup-simplify]: Simplify 0 into 0
12.714 * [backup-simplify]: Simplify 1 into 1
12.714 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.714 * [taylor]: Taking taylor expansion of im in re
12.714 * [backup-simplify]: Simplify im into im
12.714 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.714 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.714 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.714 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.716 * [backup-simplify]: Simplify (+ 0 0) into 0
12.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.717 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.717 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.717 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.717 * [taylor]: Taking taylor expansion of re in re
12.717 * [backup-simplify]: Simplify 0 into 0
12.717 * [backup-simplify]: Simplify 1 into 1
12.717 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.717 * [taylor]: Taking taylor expansion of im in re
12.717 * [backup-simplify]: Simplify im into im
12.717 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.717 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.717 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.717 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.718 * [backup-simplify]: Simplify (+ 0 0) into 0
12.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.719 * [taylor]: Taking taylor expansion of im in im
12.719 * [backup-simplify]: Simplify 0 into 0
12.719 * [backup-simplify]: Simplify 1 into 1
12.719 * [backup-simplify]: Simplify 0 into 0
12.719 * [taylor]: Taking taylor expansion of 0 in im
12.719 * [backup-simplify]: Simplify 0 into 0
12.719 * [backup-simplify]: Simplify 0 into 0
12.719 * [backup-simplify]: Simplify 1 into 1
12.720 * [backup-simplify]: Simplify (* 1 1) into 1
12.724 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.725 * [backup-simplify]: Simplify (+ 1 0) into 1
12.726 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.726 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
12.726 * [taylor]: Taking taylor expansion of 1/2 in im
12.726 * [backup-simplify]: Simplify 1/2 into 1/2
12.726 * [taylor]: Taking taylor expansion of im in im
12.726 * [backup-simplify]: Simplify 0 into 0
12.726 * [backup-simplify]: Simplify 1 into 1
12.726 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.727 * [backup-simplify]: Simplify 0 into 0
12.727 * [backup-simplify]: Simplify 0 into 0
12.727 * [backup-simplify]: Simplify 0 into 0
12.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.749 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.749 * [backup-simplify]: Simplify (+ 0 0) into 0
12.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.749 * [taylor]: Taking taylor expansion of 0 in im
12.749 * [backup-simplify]: Simplify 0 into 0
12.749 * [backup-simplify]: Simplify 0 into 0
12.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.750 * [backup-simplify]: Simplify 0 into 0
12.750 * [backup-simplify]: Simplify 0 into 0
12.751 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
12.751 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.751 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.751 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.751 * [taylor]: Taking taylor expansion of im in im
12.751 * [backup-simplify]: Simplify 0 into 0
12.751 * [backup-simplify]: Simplify 1 into 1
12.752 * [backup-simplify]: Simplify (* 1 1) into 1
12.752 * [backup-simplify]: Simplify (/ 1 1) into 1
12.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.752 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.752 * [taylor]: Taking taylor expansion of re in im
12.753 * [backup-simplify]: Simplify re into re
12.753 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.753 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.753 * [backup-simplify]: Simplify (+ 1 0) into 1
12.757 * [backup-simplify]: Simplify (sqrt 1) into 1
12.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.759 * [backup-simplify]: Simplify (+ 0 0) into 0
12.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.759 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.760 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.760 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.760 * [taylor]: Taking taylor expansion of im in re
12.760 * [backup-simplify]: Simplify im into im
12.760 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.760 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.760 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.760 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.760 * [taylor]: Taking taylor expansion of re in re
12.760 * [backup-simplify]: Simplify 0 into 0
12.760 * [backup-simplify]: Simplify 1 into 1
12.761 * [backup-simplify]: Simplify (* 1 1) into 1
12.761 * [backup-simplify]: Simplify (/ 1 1) into 1
12.761 * [backup-simplify]: Simplify (+ 0 1) into 1
12.762 * [backup-simplify]: Simplify (sqrt 1) into 1
12.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.763 * [backup-simplify]: Simplify (+ 0 0) into 0
12.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.765 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.765 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.765 * [taylor]: Taking taylor expansion of im in re
12.765 * [backup-simplify]: Simplify im into im
12.765 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.766 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.766 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.766 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.766 * [taylor]: Taking taylor expansion of re in re
12.766 * [backup-simplify]: Simplify 0 into 0
12.766 * [backup-simplify]: Simplify 1 into 1
12.768 * [backup-simplify]: Simplify (* 1 1) into 1
12.768 * [backup-simplify]: Simplify (/ 1 1) into 1
12.769 * [backup-simplify]: Simplify (+ 0 1) into 1
12.769 * [backup-simplify]: Simplify (sqrt 1) into 1
12.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.783 * [backup-simplify]: Simplify (+ 0 0) into 0
12.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.784 * [taylor]: Taking taylor expansion of 1 in im
12.784 * [backup-simplify]: Simplify 1 into 1
12.784 * [taylor]: Taking taylor expansion of 0 in im
12.784 * [backup-simplify]: Simplify 0 into 0
12.784 * [backup-simplify]: Simplify 1 into 1
12.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.793 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.795 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.795 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.795 * [taylor]: Taking taylor expansion of 1/2 in im
12.795 * [backup-simplify]: Simplify 1/2 into 1/2
12.795 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.795 * [taylor]: Taking taylor expansion of im in im
12.795 * [backup-simplify]: Simplify 0 into 0
12.795 * [backup-simplify]: Simplify 1 into 1
12.795 * [backup-simplify]: Simplify (* 1 1) into 1
12.796 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.816 * [backup-simplify]: Simplify 0 into 0
12.816 * [backup-simplify]: Simplify 0 into 0
12.816 * [backup-simplify]: Simplify 0 into 0
12.816 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.823 * [backup-simplify]: Simplify (+ 0 0) into 0
12.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.824 * [taylor]: Taking taylor expansion of 0 in im
12.824 * [backup-simplify]: Simplify 0 into 0
12.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.826 * [backup-simplify]: Simplify 0 into 0
12.826 * [backup-simplify]: Simplify 0 into 0
12.826 * [backup-simplify]: Simplify 0 into 0
12.826 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
12.827 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.827 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.827 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.827 * [taylor]: Taking taylor expansion of im in im
12.827 * [backup-simplify]: Simplify 0 into 0
12.827 * [backup-simplify]: Simplify 1 into 1
12.833 * [backup-simplify]: Simplify (* 1 1) into 1
12.834 * [backup-simplify]: Simplify (/ 1 1) into 1
12.834 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.834 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.834 * [taylor]: Taking taylor expansion of re in im
12.834 * [backup-simplify]: Simplify re into re
12.834 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.834 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.834 * [backup-simplify]: Simplify (+ 1 0) into 1
12.835 * [backup-simplify]: Simplify (sqrt 1) into 1
12.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.838 * [backup-simplify]: Simplify (+ 0 0) into 0
12.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.839 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.839 * [taylor]: Taking taylor expansion of im in re
12.839 * [backup-simplify]: Simplify im into im
12.840 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.840 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.840 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.840 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.840 * [taylor]: Taking taylor expansion of re in re
12.840 * [backup-simplify]: Simplify 0 into 0
12.840 * [backup-simplify]: Simplify 1 into 1
12.840 * [backup-simplify]: Simplify (* 1 1) into 1
12.841 * [backup-simplify]: Simplify (/ 1 1) into 1
12.841 * [backup-simplify]: Simplify (+ 0 1) into 1
12.842 * [backup-simplify]: Simplify (sqrt 1) into 1
12.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.843 * [backup-simplify]: Simplify (+ 0 0) into 0
12.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.844 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.844 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.844 * [taylor]: Taking taylor expansion of im in re
12.844 * [backup-simplify]: Simplify im into im
12.845 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.845 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.845 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.845 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.845 * [taylor]: Taking taylor expansion of re in re
12.845 * [backup-simplify]: Simplify 0 into 0
12.845 * [backup-simplify]: Simplify 1 into 1
12.845 * [backup-simplify]: Simplify (* 1 1) into 1
12.850 * [backup-simplify]: Simplify (/ 1 1) into 1
12.851 * [backup-simplify]: Simplify (+ 0 1) into 1
12.851 * [backup-simplify]: Simplify (sqrt 1) into 1
12.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.853 * [backup-simplify]: Simplify (+ 0 0) into 0
12.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.854 * [taylor]: Taking taylor expansion of 1 in im
12.854 * [backup-simplify]: Simplify 1 into 1
12.854 * [taylor]: Taking taylor expansion of 0 in im
12.854 * [backup-simplify]: Simplify 0 into 0
12.854 * [backup-simplify]: Simplify 1 into 1
12.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.856 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.857 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.857 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.857 * [taylor]: Taking taylor expansion of 1/2 in im
12.857 * [backup-simplify]: Simplify 1/2 into 1/2
12.857 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.858 * [taylor]: Taking taylor expansion of im in im
12.858 * [backup-simplify]: Simplify 0 into 0
12.858 * [backup-simplify]: Simplify 1 into 1
12.858 * [backup-simplify]: Simplify (* 1 1) into 1
12.858 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.860 * [backup-simplify]: Simplify 0 into 0
12.860 * [backup-simplify]: Simplify 0 into 0
12.860 * [backup-simplify]: Simplify 0 into 0
12.860 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.863 * [backup-simplify]: Simplify (+ 0 0) into 0
12.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.864 * [taylor]: Taking taylor expansion of 0 in im
12.864 * [backup-simplify]: Simplify 0 into 0
12.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.866 * [backup-simplify]: Simplify 0 into 0
12.866 * [backup-simplify]: Simplify 0 into 0
12.866 * [backup-simplify]: Simplify 0 into 0
12.866 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
12.866 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
12.867 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
12.867 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
12.867 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
12.867 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
12.867 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.867 * [taylor]: Taking taylor expansion of re in im
12.867 * [backup-simplify]: Simplify re into re
12.867 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.867 * [taylor]: Taking taylor expansion of im in im
12.867 * [backup-simplify]: Simplify 0 into 0
12.867 * [backup-simplify]: Simplify 1 into 1
12.867 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.867 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.867 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.867 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.868 * [backup-simplify]: Simplify (+ 0 0) into 0
12.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.868 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.868 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.868 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.868 * [taylor]: Taking taylor expansion of re in re
12.868 * [backup-simplify]: Simplify 0 into 0
12.868 * [backup-simplify]: Simplify 1 into 1
12.868 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.868 * [taylor]: Taking taylor expansion of im in re
12.868 * [backup-simplify]: Simplify im into im
12.868 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.868 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.869 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.869 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.869 * [backup-simplify]: Simplify (+ 0 0) into 0
12.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.869 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.869 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.870 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.870 * [taylor]: Taking taylor expansion of re in re
12.870 * [backup-simplify]: Simplify 0 into 0
12.870 * [backup-simplify]: Simplify 1 into 1
12.870 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.870 * [taylor]: Taking taylor expansion of im in re
12.870 * [backup-simplify]: Simplify im into im
12.870 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.870 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.870 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.870 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.871 * [backup-simplify]: Simplify (+ 0 0) into 0
12.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.871 * [taylor]: Taking taylor expansion of im in im
12.871 * [backup-simplify]: Simplify 0 into 0
12.871 * [backup-simplify]: Simplify 1 into 1
12.871 * [backup-simplify]: Simplify 0 into 0
12.871 * [taylor]: Taking taylor expansion of 0 in im
12.871 * [backup-simplify]: Simplify 0 into 0
12.871 * [backup-simplify]: Simplify 0 into 0
12.871 * [backup-simplify]: Simplify 1 into 1
12.872 * [backup-simplify]: Simplify (* 1 1) into 1
12.872 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.873 * [backup-simplify]: Simplify (+ 1 0) into 1
12.873 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.873 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
12.873 * [taylor]: Taking taylor expansion of 1/2 in im
12.873 * [backup-simplify]: Simplify 1/2 into 1/2
12.873 * [taylor]: Taking taylor expansion of im in im
12.874 * [backup-simplify]: Simplify 0 into 0
12.874 * [backup-simplify]: Simplify 1 into 1
12.874 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.875 * [backup-simplify]: Simplify 0 into 0
12.875 * [backup-simplify]: Simplify 0 into 0
12.875 * [backup-simplify]: Simplify 0 into 0
12.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.879 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.879 * [backup-simplify]: Simplify (+ 0 0) into 0
12.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.879 * [taylor]: Taking taylor expansion of 0 in im
12.879 * [backup-simplify]: Simplify 0 into 0
12.879 * [backup-simplify]: Simplify 0 into 0
12.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.880 * [backup-simplify]: Simplify 0 into 0
12.881 * [backup-simplify]: Simplify 0 into 0
12.881 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
12.881 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.881 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.881 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.881 * [taylor]: Taking taylor expansion of im in im
12.881 * [backup-simplify]: Simplify 0 into 0
12.881 * [backup-simplify]: Simplify 1 into 1
12.882 * [backup-simplify]: Simplify (* 1 1) into 1
12.882 * [backup-simplify]: Simplify (/ 1 1) into 1
12.882 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.882 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.882 * [taylor]: Taking taylor expansion of re in im
12.882 * [backup-simplify]: Simplify re into re
12.882 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.883 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.883 * [backup-simplify]: Simplify (+ 1 0) into 1
12.883 * [backup-simplify]: Simplify (sqrt 1) into 1
12.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.885 * [backup-simplify]: Simplify (+ 0 0) into 0
12.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.886 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.886 * [taylor]: Taking taylor expansion of im in re
12.886 * [backup-simplify]: Simplify im into im
12.886 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.886 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.886 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.886 * [taylor]: Taking taylor expansion of re in re
12.886 * [backup-simplify]: Simplify 0 into 0
12.886 * [backup-simplify]: Simplify 1 into 1
12.887 * [backup-simplify]: Simplify (* 1 1) into 1
12.887 * [backup-simplify]: Simplify (/ 1 1) into 1
12.887 * [backup-simplify]: Simplify (+ 0 1) into 1
12.887 * [backup-simplify]: Simplify (sqrt 1) into 1
12.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.889 * [backup-simplify]: Simplify (+ 0 0) into 0
12.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.890 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.890 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.890 * [taylor]: Taking taylor expansion of im in re
12.890 * [backup-simplify]: Simplify im into im
12.890 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.890 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.890 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.890 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.890 * [taylor]: Taking taylor expansion of re in re
12.890 * [backup-simplify]: Simplify 0 into 0
12.890 * [backup-simplify]: Simplify 1 into 1
12.891 * [backup-simplify]: Simplify (* 1 1) into 1
12.891 * [backup-simplify]: Simplify (/ 1 1) into 1
12.892 * [backup-simplify]: Simplify (+ 0 1) into 1
12.892 * [backup-simplify]: Simplify (sqrt 1) into 1
12.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.894 * [backup-simplify]: Simplify (+ 0 0) into 0
12.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.895 * [taylor]: Taking taylor expansion of 1 in im
12.895 * [backup-simplify]: Simplify 1 into 1
12.895 * [taylor]: Taking taylor expansion of 0 in im
12.895 * [backup-simplify]: Simplify 0 into 0
12.895 * [backup-simplify]: Simplify 1 into 1
12.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.897 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.898 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.898 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.898 * [taylor]: Taking taylor expansion of 1/2 in im
12.898 * [backup-simplify]: Simplify 1/2 into 1/2
12.898 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.898 * [taylor]: Taking taylor expansion of im in im
12.898 * [backup-simplify]: Simplify 0 into 0
12.898 * [backup-simplify]: Simplify 1 into 1
12.899 * [backup-simplify]: Simplify (* 1 1) into 1
12.899 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.901 * [backup-simplify]: Simplify 0 into 0
12.901 * [backup-simplify]: Simplify 0 into 0
12.901 * [backup-simplify]: Simplify 0 into 0
12.901 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.904 * [backup-simplify]: Simplify (+ 0 0) into 0
12.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.905 * [taylor]: Taking taylor expansion of 0 in im
12.905 * [backup-simplify]: Simplify 0 into 0
12.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.907 * [backup-simplify]: Simplify 0 into 0
12.907 * [backup-simplify]: Simplify 0 into 0
12.907 * [backup-simplify]: Simplify 0 into 0
12.907 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
12.907 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
12.907 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
12.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.908 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.908 * [taylor]: Taking taylor expansion of im in im
12.908 * [backup-simplify]: Simplify 0 into 0
12.908 * [backup-simplify]: Simplify 1 into 1
12.908 * [backup-simplify]: Simplify (* 1 1) into 1
12.909 * [backup-simplify]: Simplify (/ 1 1) into 1
12.909 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.909 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.909 * [taylor]: Taking taylor expansion of re in im
12.909 * [backup-simplify]: Simplify re into re
12.909 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.909 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.909 * [backup-simplify]: Simplify (+ 1 0) into 1
12.910 * [backup-simplify]: Simplify (sqrt 1) into 1
12.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.911 * [backup-simplify]: Simplify (+ 0 0) into 0
12.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.912 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.912 * [taylor]: Taking taylor expansion of im in re
12.912 * [backup-simplify]: Simplify im into im
12.912 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.913 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.913 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.913 * [taylor]: Taking taylor expansion of re in re
12.913 * [backup-simplify]: Simplify 0 into 0
12.913 * [backup-simplify]: Simplify 1 into 1
12.913 * [backup-simplify]: Simplify (* 1 1) into 1
12.913 * [backup-simplify]: Simplify (/ 1 1) into 1
12.914 * [backup-simplify]: Simplify (+ 0 1) into 1
12.914 * [backup-simplify]: Simplify (sqrt 1) into 1
12.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.916 * [backup-simplify]: Simplify (+ 0 0) into 0
12.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.917 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.917 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.917 * [taylor]: Taking taylor expansion of im in re
12.917 * [backup-simplify]: Simplify im into im
12.917 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.917 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.917 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.917 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.917 * [taylor]: Taking taylor expansion of re in re
12.917 * [backup-simplify]: Simplify 0 into 0
12.917 * [backup-simplify]: Simplify 1 into 1
12.918 * [backup-simplify]: Simplify (* 1 1) into 1
12.918 * [backup-simplify]: Simplify (/ 1 1) into 1
12.918 * [backup-simplify]: Simplify (+ 0 1) into 1
12.919 * [backup-simplify]: Simplify (sqrt 1) into 1
12.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.920 * [backup-simplify]: Simplify (+ 0 0) into 0
12.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.921 * [taylor]: Taking taylor expansion of 1 in im
12.921 * [backup-simplify]: Simplify 1 into 1
12.921 * [taylor]: Taking taylor expansion of 0 in im
12.921 * [backup-simplify]: Simplify 0 into 0
12.921 * [backup-simplify]: Simplify 1 into 1
12.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.923 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.925 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.925 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.925 * [taylor]: Taking taylor expansion of 1/2 in im
12.925 * [backup-simplify]: Simplify 1/2 into 1/2
12.925 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.925 * [taylor]: Taking taylor expansion of im in im
12.925 * [backup-simplify]: Simplify 0 into 0
12.925 * [backup-simplify]: Simplify 1 into 1
12.925 * [backup-simplify]: Simplify (* 1 1) into 1
12.926 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.934 * [backup-simplify]: Simplify 0 into 0
12.934 * [backup-simplify]: Simplify 0 into 0
12.935 * [backup-simplify]: Simplify 0 into 0
12.935 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.936 * [backup-simplify]: Simplify (+ 0 0) into 0
12.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.937 * [taylor]: Taking taylor expansion of 0 in im
12.937 * [backup-simplify]: Simplify 0 into 0
12.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.940 * [backup-simplify]: Simplify 0 into 0
12.940 * [backup-simplify]: Simplify 0 into 0
12.940 * [backup-simplify]: Simplify 0 into 0
12.940 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
12.940 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
12.941 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
12.941 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
12.941 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
12.941 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
12.941 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
12.941 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.941 * [taylor]: Taking taylor expansion of re in im
12.941 * [backup-simplify]: Simplify re into re
12.941 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.941 * [taylor]: Taking taylor expansion of im in im
12.941 * [backup-simplify]: Simplify 0 into 0
12.941 * [backup-simplify]: Simplify 1 into 1
12.941 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.941 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.942 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.942 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.942 * [backup-simplify]: Simplify (+ 0 0) into 0
12.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.942 * [taylor]: Taking taylor expansion of re in im
12.942 * [backup-simplify]: Simplify re into re
12.942 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
12.942 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.942 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.942 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.943 * [taylor]: Taking taylor expansion of re in re
12.943 * [backup-simplify]: Simplify 0 into 0
12.943 * [backup-simplify]: Simplify 1 into 1
12.943 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.943 * [taylor]: Taking taylor expansion of im in re
12.943 * [backup-simplify]: Simplify im into im
12.943 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.943 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.943 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.943 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.944 * [backup-simplify]: Simplify (+ 0 0) into 0
12.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.944 * [taylor]: Taking taylor expansion of re in re
12.944 * [backup-simplify]: Simplify 0 into 0
12.944 * [backup-simplify]: Simplify 1 into 1
12.944 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
12.944 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
12.944 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
12.944 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.944 * [taylor]: Taking taylor expansion of re in re
12.944 * [backup-simplify]: Simplify 0 into 0
12.944 * [backup-simplify]: Simplify 1 into 1
12.944 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.944 * [taylor]: Taking taylor expansion of im in re
12.944 * [backup-simplify]: Simplify im into im
12.944 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.944 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.945 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.945 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.945 * [backup-simplify]: Simplify (+ 0 0) into 0
12.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.945 * [taylor]: Taking taylor expansion of re in re
12.945 * [backup-simplify]: Simplify 0 into 0
12.945 * [backup-simplify]: Simplify 1 into 1
12.946 * [backup-simplify]: Simplify (- 0) into 0
12.946 * [backup-simplify]: Simplify (+ im 0) into im
12.946 * [taylor]: Taking taylor expansion of im in im
12.946 * [backup-simplify]: Simplify 0 into 0
12.946 * [backup-simplify]: Simplify 1 into 1
12.946 * [backup-simplify]: Simplify 0 into 0
12.947 * [backup-simplify]: Simplify (- 1) into -1
12.947 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.947 * [taylor]: Taking taylor expansion of -1 in im
12.947 * [backup-simplify]: Simplify -1 into -1
12.947 * [backup-simplify]: Simplify -1 into -1
12.947 * [backup-simplify]: Simplify 1 into 1
12.948 * [backup-simplify]: Simplify (* 1 1) into 1
12.948 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.949 * [backup-simplify]: Simplify (+ 1 0) into 1
12.950 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.950 * [backup-simplify]: Simplify (- 0) into 0
12.950 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
12.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
12.950 * [taylor]: Taking taylor expansion of 1/2 in im
12.950 * [backup-simplify]: Simplify 1/2 into 1/2
12.950 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.950 * [taylor]: Taking taylor expansion of im in im
12.950 * [backup-simplify]: Simplify 0 into 0
12.950 * [backup-simplify]: Simplify 1 into 1
12.951 * [backup-simplify]: Simplify (/ 1 1) into 1
12.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.952 * [backup-simplify]: Simplify 0 into 0
12.952 * [backup-simplify]: Simplify 0 into 0
12.952 * [backup-simplify]: Simplify 0 into 0
12.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.953 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.954 * [backup-simplify]: Simplify (+ 0 0) into 0
12.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.954 * [backup-simplify]: Simplify (- 0) into 0
12.954 * [backup-simplify]: Simplify (+ 0 0) into 0
12.954 * [taylor]: Taking taylor expansion of 0 in im
12.955 * [backup-simplify]: Simplify 0 into 0
12.955 * [backup-simplify]: Simplify 0 into 0
12.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.956 * [backup-simplify]: Simplify 0 into 0
12.956 * [backup-simplify]: Simplify 0 into 0
12.957 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
12.957 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
12.957 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
12.957 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
12.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.958 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.958 * [taylor]: Taking taylor expansion of im in im
12.958 * [backup-simplify]: Simplify 0 into 0
12.958 * [backup-simplify]: Simplify 1 into 1
12.958 * [backup-simplify]: Simplify (* 1 1) into 1
12.959 * [backup-simplify]: Simplify (/ 1 1) into 1
12.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.959 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.959 * [taylor]: Taking taylor expansion of re in im
12.959 * [backup-simplify]: Simplify re into re
12.959 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.960 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.961 * [backup-simplify]: Simplify (+ 1 0) into 1
12.961 * [backup-simplify]: Simplify (sqrt 1) into 1
12.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.964 * [backup-simplify]: Simplify (+ 0 0) into 0
12.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.964 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.964 * [taylor]: Taking taylor expansion of re in im
12.964 * [backup-simplify]: Simplify re into re
12.965 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.965 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
12.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.965 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.965 * [taylor]: Taking taylor expansion of im in re
12.965 * [backup-simplify]: Simplify im into im
12.965 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.965 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.965 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.965 * [taylor]: Taking taylor expansion of re in re
12.965 * [backup-simplify]: Simplify 0 into 0
12.965 * [backup-simplify]: Simplify 1 into 1
12.966 * [backup-simplify]: Simplify (* 1 1) into 1
12.966 * [backup-simplify]: Simplify (/ 1 1) into 1
12.967 * [backup-simplify]: Simplify (+ 0 1) into 1
12.967 * [backup-simplify]: Simplify (sqrt 1) into 1
12.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.969 * [backup-simplify]: Simplify (+ 0 0) into 0
12.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.970 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.970 * [taylor]: Taking taylor expansion of re in re
12.970 * [backup-simplify]: Simplify 0 into 0
12.970 * [backup-simplify]: Simplify 1 into 1
12.970 * [backup-simplify]: Simplify (/ 1 1) into 1
12.970 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
12.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.970 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.970 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.970 * [taylor]: Taking taylor expansion of im in re
12.970 * [backup-simplify]: Simplify im into im
12.970 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.971 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.971 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.971 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.971 * [taylor]: Taking taylor expansion of re in re
12.971 * [backup-simplify]: Simplify 0 into 0
12.971 * [backup-simplify]: Simplify 1 into 1
12.971 * [backup-simplify]: Simplify (* 1 1) into 1
12.972 * [backup-simplify]: Simplify (/ 1 1) into 1
12.972 * [backup-simplify]: Simplify (+ 0 1) into 1
12.972 * [backup-simplify]: Simplify (sqrt 1) into 1
12.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.974 * [backup-simplify]: Simplify (+ 0 0) into 0
12.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.974 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.974 * [taylor]: Taking taylor expansion of re in re
12.974 * [backup-simplify]: Simplify 0 into 0
12.974 * [backup-simplify]: Simplify 1 into 1
12.974 * [backup-simplify]: Simplify (/ 1 1) into 1
12.975 * [backup-simplify]: Simplify (- 1) into -1
12.975 * [backup-simplify]: Simplify (+ 1 -1) into 0
12.975 * [taylor]: Taking taylor expansion of 0 in im
12.975 * [backup-simplify]: Simplify 0 into 0
12.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.976 * [backup-simplify]: Simplify (- 0) into 0
12.976 * [backup-simplify]: Simplify (+ 0 0) into 0
12.976 * [taylor]: Taking taylor expansion of 0 in im
12.976 * [backup-simplify]: Simplify 0 into 0
12.976 * [backup-simplify]: Simplify 0 into 0
12.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.978 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
12.979 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.980 * [backup-simplify]: Simplify (- 0) into 0
12.980 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
12.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
12.980 * [taylor]: Taking taylor expansion of 1/2 in im
12.980 * [backup-simplify]: Simplify 1/2 into 1/2
12.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.980 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.980 * [taylor]: Taking taylor expansion of im in im
12.980 * [backup-simplify]: Simplify 0 into 0
12.980 * [backup-simplify]: Simplify 1 into 1
12.981 * [backup-simplify]: Simplify (* 1 1) into 1
12.981 * [backup-simplify]: Simplify (/ 1 1) into 1
12.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.983 * [backup-simplify]: Simplify 0 into 0
12.983 * [backup-simplify]: Simplify 0 into 0
12.983 * [backup-simplify]: Simplify 0 into 0
12.983 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
12.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.986 * [backup-simplify]: Simplify (+ 0 0) into 0
12.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.988 * [backup-simplify]: Simplify (- 0) into 0
12.988 * [backup-simplify]: Simplify (+ 0 0) into 0
12.988 * [taylor]: Taking taylor expansion of 0 in im
12.988 * [backup-simplify]: Simplify 0 into 0
12.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.990 * [backup-simplify]: Simplify 0 into 0
12.990 * [backup-simplify]: Simplify 0 into 0
12.990 * [backup-simplify]: Simplify 0 into 0
12.991 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
12.991 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
12.991 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
12.991 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.991 * [taylor]: Taking taylor expansion of re in im
12.991 * [backup-simplify]: Simplify re into re
12.991 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
12.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
12.991 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.991 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.991 * [taylor]: Taking taylor expansion of im in im
12.991 * [backup-simplify]: Simplify 0 into 0
12.991 * [backup-simplify]: Simplify 1 into 1
12.991 * [backup-simplify]: Simplify (* 1 1) into 1
12.992 * [backup-simplify]: Simplify (/ 1 1) into 1
12.992 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.992 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.992 * [taylor]: Taking taylor expansion of re in im
12.992 * [backup-simplify]: Simplify re into re
12.992 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.992 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.992 * [backup-simplify]: Simplify (+ 1 0) into 1
12.992 * [backup-simplify]: Simplify (sqrt 1) into 1
12.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.994 * [backup-simplify]: Simplify (+ 0 0) into 0
12.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.994 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
12.994 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.994 * [taylor]: Taking taylor expansion of re in re
12.994 * [backup-simplify]: Simplify 0 into 0
12.994 * [backup-simplify]: Simplify 1 into 1
12.995 * [backup-simplify]: Simplify (/ 1 1) into 1
12.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
12.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
12.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
12.995 * [taylor]: Taking taylor expansion of (pow im 2) in re
12.995 * [taylor]: Taking taylor expansion of im in re
12.995 * [backup-simplify]: Simplify im into im
12.995 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.995 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
12.995 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
12.995 * [taylor]: Taking taylor expansion of (pow re 2) in re
12.995 * [taylor]: Taking taylor expansion of re in re
12.995 * [backup-simplify]: Simplify 0 into 0
12.995 * [backup-simplify]: Simplify 1 into 1
12.996 * [backup-simplify]: Simplify (* 1 1) into 1
12.996 * [backup-simplify]: Simplify (/ 1 1) into 1
12.996 * [backup-simplify]: Simplify (+ 0 1) into 1
12.997 * [backup-simplify]: Simplify (sqrt 1) into 1
12.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.998 * [backup-simplify]: Simplify (+ 0 0) into 0
12.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.999 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
12.999 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.999 * [taylor]: Taking taylor expansion of re in re
12.999 * [backup-simplify]: Simplify 0 into 0
12.999 * [backup-simplify]: Simplify 1 into 1
13.000 * [backup-simplify]: Simplify (/ 1 1) into 1
13.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
13.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
13.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.000 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.000 * [taylor]: Taking taylor expansion of im in re
13.000 * [backup-simplify]: Simplify im into im
13.000 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.000 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.000 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.000 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.000 * [taylor]: Taking taylor expansion of re in re
13.000 * [backup-simplify]: Simplify 0 into 0
13.000 * [backup-simplify]: Simplify 1 into 1
13.001 * [backup-simplify]: Simplify (* 1 1) into 1
13.001 * [backup-simplify]: Simplify (/ 1 1) into 1
13.001 * [backup-simplify]: Simplify (+ 0 1) into 1
13.002 * [backup-simplify]: Simplify (sqrt 1) into 1
13.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.004 * [backup-simplify]: Simplify (+ 0 0) into 0
13.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.005 * [backup-simplify]: Simplify (+ 1 1) into 2
13.005 * [taylor]: Taking taylor expansion of 2 in im
13.005 * [backup-simplify]: Simplify 2 into 2
13.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.006 * [backup-simplify]: Simplify (+ 0 0) into 0
13.006 * [taylor]: Taking taylor expansion of 0 in im
13.006 * [backup-simplify]: Simplify 0 into 0
13.006 * [backup-simplify]: Simplify 2 into 2
13.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.009 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
13.010 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.010 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
13.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
13.011 * [taylor]: Taking taylor expansion of 1/2 in im
13.011 * [backup-simplify]: Simplify 1/2 into 1/2
13.011 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.011 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.011 * [taylor]: Taking taylor expansion of im in im
13.011 * [backup-simplify]: Simplify 0 into 0
13.011 * [backup-simplify]: Simplify 1 into 1
13.011 * [backup-simplify]: Simplify (* 1 1) into 1
13.011 * [backup-simplify]: Simplify (/ 1 1) into 1
13.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.014 * [backup-simplify]: Simplify 0 into 0
13.014 * [backup-simplify]: Simplify 0 into 0
13.014 * [backup-simplify]: Simplify 0 into 0
13.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.016 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
13.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.019 * [backup-simplify]: Simplify (+ 0 0) into 0
13.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.020 * [backup-simplify]: Simplify (+ 0 0) into 0
13.021 * [taylor]: Taking taylor expansion of 0 in im
13.021 * [backup-simplify]: Simplify 0 into 0
13.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.024 * [backup-simplify]: Simplify 0 into 0
13.024 * [backup-simplify]: Simplify 0 into 0
13.024 * [backup-simplify]: Simplify 0 into 0
13.024 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
13.024 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
13.025 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
13.025 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
13.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
13.025 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
13.025 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.025 * [taylor]: Taking taylor expansion of re in im
13.025 * [backup-simplify]: Simplify re into re
13.025 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.025 * [taylor]: Taking taylor expansion of im in im
13.025 * [backup-simplify]: Simplify 0 into 0
13.025 * [backup-simplify]: Simplify 1 into 1
13.025 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.026 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
13.026 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
13.026 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
13.026 * [backup-simplify]: Simplify (+ 0 0) into 0
13.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
13.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
13.027 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
13.027 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.027 * [taylor]: Taking taylor expansion of re in re
13.027 * [backup-simplify]: Simplify 0 into 0
13.027 * [backup-simplify]: Simplify 1 into 1
13.027 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.027 * [taylor]: Taking taylor expansion of im in re
13.027 * [backup-simplify]: Simplify im into im
13.027 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.027 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
13.027 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.027 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.028 * [backup-simplify]: Simplify (+ 0 0) into 0
13.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
13.028 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
13.029 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.029 * [taylor]: Taking taylor expansion of re in re
13.029 * [backup-simplify]: Simplify 0 into 0
13.029 * [backup-simplify]: Simplify 1 into 1
13.029 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.029 * [taylor]: Taking taylor expansion of im in re
13.029 * [backup-simplify]: Simplify im into im
13.029 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.029 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
13.029 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.029 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.030 * [backup-simplify]: Simplify (+ 0 0) into 0
13.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.031 * [taylor]: Taking taylor expansion of im in im
13.031 * [backup-simplify]: Simplify 0 into 0
13.031 * [backup-simplify]: Simplify 1 into 1
13.031 * [backup-simplify]: Simplify 0 into 0
13.031 * [taylor]: Taking taylor expansion of 0 in im
13.031 * [backup-simplify]: Simplify 0 into 0
13.031 * [backup-simplify]: Simplify 0 into 0
13.031 * [backup-simplify]: Simplify 1 into 1
13.032 * [backup-simplify]: Simplify (* 1 1) into 1
13.033 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
13.033 * [backup-simplify]: Simplify (+ 1 0) into 1
13.034 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
13.034 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
13.034 * [taylor]: Taking taylor expansion of 1/2 in im
13.034 * [backup-simplify]: Simplify 1/2 into 1/2
13.034 * [taylor]: Taking taylor expansion of im in im
13.034 * [backup-simplify]: Simplify 0 into 0
13.034 * [backup-simplify]: Simplify 1 into 1
13.034 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.035 * [backup-simplify]: Simplify 0 into 0
13.035 * [backup-simplify]: Simplify 0 into 0
13.035 * [backup-simplify]: Simplify 0 into 0
13.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.037 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
13.037 * [backup-simplify]: Simplify (+ 0 0) into 0
13.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
13.038 * [taylor]: Taking taylor expansion of 0 in im
13.038 * [backup-simplify]: Simplify 0 into 0
13.038 * [backup-simplify]: Simplify 0 into 0
13.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.039 * [backup-simplify]: Simplify 0 into 0
13.039 * [backup-simplify]: Simplify 0 into 0
13.039 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
13.040 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
13.040 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
13.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
13.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
13.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.040 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.040 * [taylor]: Taking taylor expansion of im in im
13.040 * [backup-simplify]: Simplify 0 into 0
13.040 * [backup-simplify]: Simplify 1 into 1
13.041 * [backup-simplify]: Simplify (* 1 1) into 1
13.041 * [backup-simplify]: Simplify (/ 1 1) into 1
13.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
13.041 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.041 * [taylor]: Taking taylor expansion of re in im
13.041 * [backup-simplify]: Simplify re into re
13.041 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.041 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
13.042 * [backup-simplify]: Simplify (+ 1 0) into 1
13.042 * [backup-simplify]: Simplify (sqrt 1) into 1
13.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.044 * [backup-simplify]: Simplify (+ 0 0) into 0
13.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
13.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
13.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.045 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.045 * [taylor]: Taking taylor expansion of im in re
13.045 * [backup-simplify]: Simplify im into im
13.045 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.045 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.046 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.046 * [taylor]: Taking taylor expansion of re in re
13.046 * [backup-simplify]: Simplify 0 into 0
13.046 * [backup-simplify]: Simplify 1 into 1
13.046 * [backup-simplify]: Simplify (* 1 1) into 1
13.046 * [backup-simplify]: Simplify (/ 1 1) into 1
13.047 * [backup-simplify]: Simplify (+ 0 1) into 1
13.047 * [backup-simplify]: Simplify (sqrt 1) into 1
13.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.049 * [backup-simplify]: Simplify (+ 0 0) into 0
13.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
13.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
13.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.050 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.050 * [taylor]: Taking taylor expansion of im in re
13.050 * [backup-simplify]: Simplify im into im
13.050 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.050 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.050 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.050 * [taylor]: Taking taylor expansion of re in re
13.051 * [backup-simplify]: Simplify 0 into 0
13.051 * [backup-simplify]: Simplify 1 into 1
13.051 * [backup-simplify]: Simplify (* 1 1) into 1
13.051 * [backup-simplify]: Simplify (/ 1 1) into 1
13.052 * [backup-simplify]: Simplify (+ 0 1) into 1
13.052 * [backup-simplify]: Simplify (sqrt 1) into 1
13.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.054 * [backup-simplify]: Simplify (+ 0 0) into 0
13.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.055 * [taylor]: Taking taylor expansion of 1 in im
13.055 * [backup-simplify]: Simplify 1 into 1
13.055 * [taylor]: Taking taylor expansion of 0 in im
13.055 * [backup-simplify]: Simplify 0 into 0
13.055 * [backup-simplify]: Simplify 1 into 1
13.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.057 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
13.058 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.058 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
13.058 * [taylor]: Taking taylor expansion of 1/2 in im
13.058 * [backup-simplify]: Simplify 1/2 into 1/2
13.058 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.058 * [taylor]: Taking taylor expansion of im in im
13.059 * [backup-simplify]: Simplify 0 into 0
13.059 * [backup-simplify]: Simplify 1 into 1
13.059 * [backup-simplify]: Simplify (* 1 1) into 1
13.059 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.061 * [backup-simplify]: Simplify 0 into 0
13.061 * [backup-simplify]: Simplify 0 into 0
13.061 * [backup-simplify]: Simplify 0 into 0
13.061 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
13.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.064 * [backup-simplify]: Simplify (+ 0 0) into 0
13.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.065 * [taylor]: Taking taylor expansion of 0 in im
13.065 * [backup-simplify]: Simplify 0 into 0
13.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.067 * [backup-simplify]: Simplify 0 into 0
13.067 * [backup-simplify]: Simplify 0 into 0
13.067 * [backup-simplify]: Simplify 0 into 0
13.067 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
13.068 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
13.068 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
13.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
13.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
13.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.068 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.068 * [taylor]: Taking taylor expansion of im in im
13.068 * [backup-simplify]: Simplify 0 into 0
13.068 * [backup-simplify]: Simplify 1 into 1
13.068 * [backup-simplify]: Simplify (* 1 1) into 1
13.069 * [backup-simplify]: Simplify (/ 1 1) into 1
13.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
13.069 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.069 * [taylor]: Taking taylor expansion of re in im
13.069 * [backup-simplify]: Simplify re into re
13.069 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.069 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
13.070 * [backup-simplify]: Simplify (+ 1 0) into 1
13.070 * [backup-simplify]: Simplify (sqrt 1) into 1
13.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.072 * [backup-simplify]: Simplify (+ 0 0) into 0
13.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
13.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
13.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.073 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.073 * [taylor]: Taking taylor expansion of im in re
13.073 * [backup-simplify]: Simplify im into im
13.073 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.073 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.073 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.073 * [taylor]: Taking taylor expansion of re in re
13.073 * [backup-simplify]: Simplify 0 into 0
13.073 * [backup-simplify]: Simplify 1 into 1
13.074 * [backup-simplify]: Simplify (* 1 1) into 1
13.074 * [backup-simplify]: Simplify (/ 1 1) into 1
13.074 * [backup-simplify]: Simplify (+ 0 1) into 1
13.075 * [backup-simplify]: Simplify (sqrt 1) into 1
13.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.077 * [backup-simplify]: Simplify (+ 0 0) into 0
13.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
13.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
13.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.077 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.077 * [taylor]: Taking taylor expansion of im in re
13.077 * [backup-simplify]: Simplify im into im
13.078 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.078 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.078 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.078 * [taylor]: Taking taylor expansion of re in re
13.078 * [backup-simplify]: Simplify 0 into 0
13.078 * [backup-simplify]: Simplify 1 into 1
13.078 * [backup-simplify]: Simplify (* 1 1) into 1
13.079 * [backup-simplify]: Simplify (/ 1 1) into 1
13.079 * [backup-simplify]: Simplify (+ 0 1) into 1
13.079 * [backup-simplify]: Simplify (sqrt 1) into 1
13.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.081 * [backup-simplify]: Simplify (+ 0 0) into 0
13.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.082 * [taylor]: Taking taylor expansion of 1 in im
13.082 * [backup-simplify]: Simplify 1 into 1
13.082 * [taylor]: Taking taylor expansion of 0 in im
13.082 * [backup-simplify]: Simplify 0 into 0
13.082 * [backup-simplify]: Simplify 1 into 1
13.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.084 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
13.085 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.085 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
13.086 * [taylor]: Taking taylor expansion of 1/2 in im
13.086 * [backup-simplify]: Simplify 1/2 into 1/2
13.086 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.086 * [taylor]: Taking taylor expansion of im in im
13.086 * [backup-simplify]: Simplify 0 into 0
13.086 * [backup-simplify]: Simplify 1 into 1
13.086 * [backup-simplify]: Simplify (* 1 1) into 1
13.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.094 * [backup-simplify]: Simplify 0 into 0
13.094 * [backup-simplify]: Simplify 0 into 0
13.094 * [backup-simplify]: Simplify 0 into 0
13.094 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
13.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.098 * [backup-simplify]: Simplify (+ 0 0) into 0
13.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.099 * [taylor]: Taking taylor expansion of 0 in im
13.099 * [backup-simplify]: Simplify 0 into 0
13.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.101 * [backup-simplify]: Simplify 0 into 0
13.101 * [backup-simplify]: Simplify 0 into 0
13.101 * [backup-simplify]: Simplify 0 into 0
13.101 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
13.102 * * * [progress]: simplifying candidates
13.106 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- re)
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- re)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  im
  re
  (* -1 re)
13.113 * * [simplify]: iteration 0: 138 enodes
13.191 * * [simplify]: iteration 1: 286 enodes
13.571 * * [simplify]: iteration 2: 605 enodes
14.912 * * [simplify]: iteration 3: 1504 enodes
19.595 * * [simplify]: iteration complete: 5000 enodes
19.616 * * [simplify]: Extracting #0: cost 48 inf + 0
19.618 * * [simplify]: Extracting #1: cost 301 inf + 6
19.625 * * [simplify]: Extracting #2: cost 885 inf + 2505
19.647 * * [simplify]: Extracting #3: cost 1323 inf + 50193
19.768 * * [simplify]: Extracting #4: cost 538 inf + 303082
20.032 * * [simplify]: Extracting #5: cost 67 inf + 459870
20.214 * * [simplify]: Extracting #6: cost 11 inf + 472729
20.633 * * [simplify]: Extracting #7: cost 0 inf + 476102
21.156 * [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 (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) re) (* (* re re) re))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (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 (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) re) (* (* re re) re))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (log (- (sqrt (+ (* im im) (* re re))) re))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (- (sqrt (+ (* im im) (* re re))) re))
  (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (+ (+ (* im im) (* re re)) (+ (* re re) (* re (sqrt (+ (* im im) (* re re))))))
  (- re)
  (* im im)
  (+ re (sqrt (+ (* im im) (* re re))))
  (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- re)
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* im im) (* re re))
  (sqrt (+ (* im im) (* re re)))
  (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))
  (+ (* im im) (* re re))
  (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))
  2
  (log (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* 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)))
  (+ (* im im) (* re re))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) re) (* (* re re) re))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) re) (* (* re re) re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) re) (* (* re re) re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  2
  1/2
  1
  1/2
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))))
  (* (fabs (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (cbrt (sqrt (+ (* im im) (* re re))))))
  (* (sqrt (sqrt (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) re) (* (* re re) re))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) re) (* (* re re) re))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  im
  re
  (- re)
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
  im
  re
  (- re)
21.275 * * * [progress]: adding candidates to table
24.985 * * [progress]: iteration 3 / 4
24.985 * * * [progress]: picking best candidate
25.182 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
25.192 * * * [progress]: localizing error
25.452 * * * [progress]: generating rewritten candidates
25.464 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
25.526 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
25.564 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
26.080 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
26.441 * * * [progress]: generating series expansions
26.441 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
26.441 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
26.441 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
26.441 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
26.441 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
26.441 * [taylor]: Taking taylor expansion of (pow re 2) in im
26.441 * [taylor]: Taking taylor expansion of re in im
26.441 * [backup-simplify]: Simplify re into re
26.441 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.441 * [taylor]: Taking taylor expansion of im in im
26.441 * [backup-simplify]: Simplify 0 into 0
26.441 * [backup-simplify]: Simplify 1 into 1
26.442 * [backup-simplify]: Simplify (* re re) into (pow re 2)
26.442 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
26.442 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
26.442 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
26.443 * [backup-simplify]: Simplify (+ 0 0) into 0
26.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
26.443 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
26.443 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
26.443 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.443 * [taylor]: Taking taylor expansion of re in re
26.443 * [backup-simplify]: Simplify 0 into 0
26.443 * [backup-simplify]: Simplify 1 into 1
26.443 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.443 * [taylor]: Taking taylor expansion of im in re
26.443 * [backup-simplify]: Simplify im into im
26.443 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.443 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
26.444 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
26.444 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
26.450 * [backup-simplify]: Simplify (+ 0 0) into 0
26.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
26.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
26.451 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
26.451 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.451 * [taylor]: Taking taylor expansion of re in re
26.451 * [backup-simplify]: Simplify 0 into 0
26.451 * [backup-simplify]: Simplify 1 into 1
26.451 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.451 * [taylor]: Taking taylor expansion of im in re
26.451 * [backup-simplify]: Simplify im into im
26.451 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.451 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
26.451 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
26.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
26.452 * [backup-simplify]: Simplify (+ 0 0) into 0
26.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
26.452 * [taylor]: Taking taylor expansion of im in im
26.452 * [backup-simplify]: Simplify 0 into 0
26.452 * [backup-simplify]: Simplify 1 into 1
26.452 * [backup-simplify]: Simplify 0 into 0
26.452 * [taylor]: Taking taylor expansion of 0 in im
26.452 * [backup-simplify]: Simplify 0 into 0
26.452 * [backup-simplify]: Simplify 0 into 0
26.452 * [backup-simplify]: Simplify 1 into 1
26.453 * [backup-simplify]: Simplify (* 1 1) into 1
26.453 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
26.454 * [backup-simplify]: Simplify (+ 1 0) into 1
26.455 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
26.455 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
26.455 * [taylor]: Taking taylor expansion of 1/2 in im
26.455 * [backup-simplify]: Simplify 1/2 into 1/2
26.455 * [taylor]: Taking taylor expansion of im in im
26.455 * [backup-simplify]: Simplify 0 into 0
26.455 * [backup-simplify]: Simplify 1 into 1
26.455 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
26.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
26.460 * [backup-simplify]: Simplify 0 into 0
26.460 * [backup-simplify]: Simplify 0 into 0
26.460 * [backup-simplify]: Simplify 0 into 0
26.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.462 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
26.462 * [backup-simplify]: Simplify (+ 0 0) into 0
26.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
26.462 * [taylor]: Taking taylor expansion of 0 in im
26.463 * [backup-simplify]: Simplify 0 into 0
26.463 * [backup-simplify]: Simplify 0 into 0
26.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.464 * [backup-simplify]: Simplify 0 into 0
26.464 * [backup-simplify]: Simplify 0 into 0
26.464 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
26.468 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
26.468 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
26.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
26.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
26.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
26.468 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.468 * [taylor]: Taking taylor expansion of im in im
26.468 * [backup-simplify]: Simplify 0 into 0
26.469 * [backup-simplify]: Simplify 1 into 1
26.469 * [backup-simplify]: Simplify (* 1 1) into 1
26.474 * [backup-simplify]: Simplify (/ 1 1) into 1
26.475 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
26.475 * [taylor]: Taking taylor expansion of (pow re 2) in im
26.475 * [taylor]: Taking taylor expansion of re in im
26.475 * [backup-simplify]: Simplify re into re
26.475 * [backup-simplify]: Simplify (* re re) into (pow re 2)
26.475 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
26.476 * [backup-simplify]: Simplify (+ 1 0) into 1
26.476 * [backup-simplify]: Simplify (sqrt 1) into 1
26.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.478 * [backup-simplify]: Simplify (+ 0 0) into 0
26.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.479 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.479 * [taylor]: Taking taylor expansion of im in re
26.479 * [backup-simplify]: Simplify im into im
26.479 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.479 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.479 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.479 * [taylor]: Taking taylor expansion of re in re
26.479 * [backup-simplify]: Simplify 0 into 0
26.479 * [backup-simplify]: Simplify 1 into 1
26.479 * [backup-simplify]: Simplify (* 1 1) into 1
26.480 * [backup-simplify]: Simplify (/ 1 1) into 1
26.484 * [backup-simplify]: Simplify (+ 0 1) into 1
26.485 * [backup-simplify]: Simplify (sqrt 1) into 1
26.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.487 * [backup-simplify]: Simplify (+ 0 0) into 0
26.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.487 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.488 * [taylor]: Taking taylor expansion of im in re
26.488 * [backup-simplify]: Simplify im into im
26.488 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.488 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.488 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.488 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.492 * [taylor]: Taking taylor expansion of re in re
26.492 * [backup-simplify]: Simplify 0 into 0
26.492 * [backup-simplify]: Simplify 1 into 1
26.493 * [backup-simplify]: Simplify (* 1 1) into 1
26.493 * [backup-simplify]: Simplify (/ 1 1) into 1
26.493 * [backup-simplify]: Simplify (+ 0 1) into 1
26.494 * [backup-simplify]: Simplify (sqrt 1) into 1
26.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.496 * [backup-simplify]: Simplify (+ 0 0) into 0
26.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.501 * [taylor]: Taking taylor expansion of 1 in im
26.501 * [backup-simplify]: Simplify 1 into 1
26.501 * [taylor]: Taking taylor expansion of 0 in im
26.501 * [backup-simplify]: Simplify 0 into 0
26.501 * [backup-simplify]: Simplify 1 into 1
26.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.503 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
26.509 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
26.509 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
26.509 * [taylor]: Taking taylor expansion of 1/2 in im
26.509 * [backup-simplify]: Simplify 1/2 into 1/2
26.509 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.509 * [taylor]: Taking taylor expansion of im in im
26.509 * [backup-simplify]: Simplify 0 into 0
26.509 * [backup-simplify]: Simplify 1 into 1
26.510 * [backup-simplify]: Simplify (* 1 1) into 1
26.510 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
26.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
26.512 * [backup-simplify]: Simplify 0 into 0
26.512 * [backup-simplify]: Simplify 0 into 0
26.512 * [backup-simplify]: Simplify 0 into 0
26.512 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
26.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
26.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.519 * [backup-simplify]: Simplify (+ 0 0) into 0
26.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
26.524 * [taylor]: Taking taylor expansion of 0 in im
26.524 * [backup-simplify]: Simplify 0 into 0
26.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.527 * [backup-simplify]: Simplify 0 into 0
26.527 * [backup-simplify]: Simplify 0 into 0
26.527 * [backup-simplify]: Simplify 0 into 0
26.527 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
26.527 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
26.527 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
26.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
26.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
26.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
26.527 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.527 * [taylor]: Taking taylor expansion of im in im
26.527 * [backup-simplify]: Simplify 0 into 0
26.527 * [backup-simplify]: Simplify 1 into 1
26.528 * [backup-simplify]: Simplify (* 1 1) into 1
26.533 * [backup-simplify]: Simplify (/ 1 1) into 1
26.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
26.533 * [taylor]: Taking taylor expansion of (pow re 2) in im
26.533 * [taylor]: Taking taylor expansion of re in im
26.533 * [backup-simplify]: Simplify re into re
26.533 * [backup-simplify]: Simplify (* re re) into (pow re 2)
26.533 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
26.534 * [backup-simplify]: Simplify (+ 1 0) into 1
26.534 * [backup-simplify]: Simplify (sqrt 1) into 1
26.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.536 * [backup-simplify]: Simplify (+ 0 0) into 0
26.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.541 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.541 * [taylor]: Taking taylor expansion of im in re
26.541 * [backup-simplify]: Simplify im into im
26.541 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.541 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.541 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.541 * [taylor]: Taking taylor expansion of re in re
26.541 * [backup-simplify]: Simplify 0 into 0
26.541 * [backup-simplify]: Simplify 1 into 1
26.542 * [backup-simplify]: Simplify (* 1 1) into 1
26.542 * [backup-simplify]: Simplify (/ 1 1) into 1
26.543 * [backup-simplify]: Simplify (+ 0 1) into 1
26.543 * [backup-simplify]: Simplify (sqrt 1) into 1
26.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.549 * [backup-simplify]: Simplify (+ 0 0) into 0
26.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.550 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.550 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.550 * [taylor]: Taking taylor expansion of im in re
26.550 * [backup-simplify]: Simplify im into im
26.550 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.551 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.551 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.551 * [taylor]: Taking taylor expansion of re in re
26.551 * [backup-simplify]: Simplify 0 into 0
26.551 * [backup-simplify]: Simplify 1 into 1
26.551 * [backup-simplify]: Simplify (* 1 1) into 1
26.551 * [backup-simplify]: Simplify (/ 1 1) into 1
26.552 * [backup-simplify]: Simplify (+ 0 1) into 1
26.552 * [backup-simplify]: Simplify (sqrt 1) into 1
26.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.554 * [backup-simplify]: Simplify (+ 0 0) into 0
26.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.555 * [taylor]: Taking taylor expansion of 1 in im
26.555 * [backup-simplify]: Simplify 1 into 1
26.555 * [taylor]: Taking taylor expansion of 0 in im
26.555 * [backup-simplify]: Simplify 0 into 0
26.555 * [backup-simplify]: Simplify 1 into 1
26.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.566 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
26.567 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
26.567 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
26.567 * [taylor]: Taking taylor expansion of 1/2 in im
26.567 * [backup-simplify]: Simplify 1/2 into 1/2
26.567 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.567 * [taylor]: Taking taylor expansion of im in im
26.567 * [backup-simplify]: Simplify 0 into 0
26.567 * [backup-simplify]: Simplify 1 into 1
26.568 * [backup-simplify]: Simplify (* 1 1) into 1
26.570 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
26.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
26.571 * [backup-simplify]: Simplify 0 into 0
26.571 * [backup-simplify]: Simplify 0 into 0
26.571 * [backup-simplify]: Simplify 0 into 0
26.571 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
26.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
26.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.574 * [backup-simplify]: Simplify (+ 0 0) into 0
26.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
26.575 * [taylor]: Taking taylor expansion of 0 in im
26.575 * [backup-simplify]: Simplify 0 into 0
26.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.585 * [backup-simplify]: Simplify 0 into 0
26.586 * [backup-simplify]: Simplify 0 into 0
26.586 * [backup-simplify]: Simplify 0 into 0
26.586 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
26.586 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1)
26.586 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
26.586 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
26.586 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
26.586 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
26.586 * [taylor]: Taking taylor expansion of (pow re 2) in im
26.586 * [taylor]: Taking taylor expansion of re in im
26.586 * [backup-simplify]: Simplify re into re
26.586 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.586 * [taylor]: Taking taylor expansion of im in im
26.586 * [backup-simplify]: Simplify 0 into 0
26.586 * [backup-simplify]: Simplify 1 into 1
26.586 * [backup-simplify]: Simplify (* re re) into (pow re 2)
26.587 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
26.587 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
26.587 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
26.587 * [backup-simplify]: Simplify (+ 0 0) into 0
26.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
26.588 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
26.588 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
26.588 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.588 * [taylor]: Taking taylor expansion of re in re
26.588 * [backup-simplify]: Simplify 0 into 0
26.588 * [backup-simplify]: Simplify 1 into 1
26.588 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.588 * [taylor]: Taking taylor expansion of im in re
26.588 * [backup-simplify]: Simplify im into im
26.588 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.588 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
26.588 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
26.588 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
26.589 * [backup-simplify]: Simplify (+ 0 0) into 0
26.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
26.589 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
26.589 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
26.589 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.589 * [taylor]: Taking taylor expansion of re in re
26.589 * [backup-simplify]: Simplify 0 into 0
26.589 * [backup-simplify]: Simplify 1 into 1
26.589 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.589 * [taylor]: Taking taylor expansion of im in re
26.589 * [backup-simplify]: Simplify im into im
26.589 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.589 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
26.589 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
26.590 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
26.590 * [backup-simplify]: Simplify (+ 0 0) into 0
26.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
26.590 * [taylor]: Taking taylor expansion of im in im
26.590 * [backup-simplify]: Simplify 0 into 0
26.590 * [backup-simplify]: Simplify 1 into 1
26.590 * [backup-simplify]: Simplify 0 into 0
26.590 * [taylor]: Taking taylor expansion of 0 in im
26.590 * [backup-simplify]: Simplify 0 into 0
26.590 * [backup-simplify]: Simplify 0 into 0
26.591 * [backup-simplify]: Simplify 1 into 1
26.591 * [backup-simplify]: Simplify (* 1 1) into 1
26.591 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
26.592 * [backup-simplify]: Simplify (+ 1 0) into 1
26.601 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
26.601 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
26.601 * [taylor]: Taking taylor expansion of 1/2 in im
26.601 * [backup-simplify]: Simplify 1/2 into 1/2
26.601 * [taylor]: Taking taylor expansion of im in im
26.601 * [backup-simplify]: Simplify 0 into 0
26.601 * [backup-simplify]: Simplify 1 into 1
26.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
26.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
26.603 * [backup-simplify]: Simplify 0 into 0
26.603 * [backup-simplify]: Simplify 0 into 0
26.603 * [backup-simplify]: Simplify 0 into 0
26.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.604 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
26.605 * [backup-simplify]: Simplify (+ 0 0) into 0
26.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
26.605 * [taylor]: Taking taylor expansion of 0 in im
26.605 * [backup-simplify]: Simplify 0 into 0
26.605 * [backup-simplify]: Simplify 0 into 0
26.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.606 * [backup-simplify]: Simplify 0 into 0
26.606 * [backup-simplify]: Simplify 0 into 0
26.606 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
26.606 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
26.607 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
26.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
26.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
26.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
26.607 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.607 * [taylor]: Taking taylor expansion of im in im
26.607 * [backup-simplify]: Simplify 0 into 0
26.607 * [backup-simplify]: Simplify 1 into 1
26.607 * [backup-simplify]: Simplify (* 1 1) into 1
26.608 * [backup-simplify]: Simplify (/ 1 1) into 1
26.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
26.608 * [taylor]: Taking taylor expansion of (pow re 2) in im
26.608 * [taylor]: Taking taylor expansion of re in im
26.608 * [backup-simplify]: Simplify re into re
26.608 * [backup-simplify]: Simplify (* re re) into (pow re 2)
26.616 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
26.617 * [backup-simplify]: Simplify (+ 1 0) into 1
26.617 * [backup-simplify]: Simplify (sqrt 1) into 1
26.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.619 * [backup-simplify]: Simplify (+ 0 0) into 0
26.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.625 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.625 * [taylor]: Taking taylor expansion of im in re
26.625 * [backup-simplify]: Simplify im into im
26.625 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.625 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.625 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.625 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.625 * [taylor]: Taking taylor expansion of re in re
26.625 * [backup-simplify]: Simplify 0 into 0
26.625 * [backup-simplify]: Simplify 1 into 1
26.626 * [backup-simplify]: Simplify (* 1 1) into 1
26.626 * [backup-simplify]: Simplify (/ 1 1) into 1
26.626 * [backup-simplify]: Simplify (+ 0 1) into 1
26.627 * [backup-simplify]: Simplify (sqrt 1) into 1
26.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.629 * [backup-simplify]: Simplify (+ 0 0) into 0
26.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.630 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.630 * [taylor]: Taking taylor expansion of im in re
26.630 * [backup-simplify]: Simplify im into im
26.630 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.630 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.630 * [taylor]: Taking taylor expansion of re in re
26.630 * [backup-simplify]: Simplify 0 into 0
26.630 * [backup-simplify]: Simplify 1 into 1
26.630 * [backup-simplify]: Simplify (* 1 1) into 1
26.631 * [backup-simplify]: Simplify (/ 1 1) into 1
26.631 * [backup-simplify]: Simplify (+ 0 1) into 1
26.632 * [backup-simplify]: Simplify (sqrt 1) into 1
26.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.633 * [backup-simplify]: Simplify (+ 0 0) into 0
26.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.634 * [taylor]: Taking taylor expansion of 1 in im
26.634 * [backup-simplify]: Simplify 1 into 1
26.634 * [taylor]: Taking taylor expansion of 0 in im
26.634 * [backup-simplify]: Simplify 0 into 0
26.634 * [backup-simplify]: Simplify 1 into 1
26.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.636 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
26.638 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
26.638 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
26.638 * [taylor]: Taking taylor expansion of 1/2 in im
26.638 * [backup-simplify]: Simplify 1/2 into 1/2
26.638 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.638 * [taylor]: Taking taylor expansion of im in im
26.638 * [backup-simplify]: Simplify 0 into 0
26.638 * [backup-simplify]: Simplify 1 into 1
26.639 * [backup-simplify]: Simplify (* 1 1) into 1
26.639 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
26.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
26.641 * [backup-simplify]: Simplify 0 into 0
26.641 * [backup-simplify]: Simplify 0 into 0
26.641 * [backup-simplify]: Simplify 0 into 0
26.641 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
26.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
26.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.644 * [backup-simplify]: Simplify (+ 0 0) into 0
26.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
26.644 * [taylor]: Taking taylor expansion of 0 in im
26.645 * [backup-simplify]: Simplify 0 into 0
26.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.647 * [backup-simplify]: Simplify 0 into 0
26.647 * [backup-simplify]: Simplify 0 into 0
26.647 * [backup-simplify]: Simplify 0 into 0
26.647 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
26.647 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
26.647 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
26.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
26.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
26.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
26.647 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.647 * [taylor]: Taking taylor expansion of im in im
26.648 * [backup-simplify]: Simplify 0 into 0
26.648 * [backup-simplify]: Simplify 1 into 1
26.648 * [backup-simplify]: Simplify (* 1 1) into 1
26.648 * [backup-simplify]: Simplify (/ 1 1) into 1
26.648 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
26.648 * [taylor]: Taking taylor expansion of (pow re 2) in im
26.648 * [taylor]: Taking taylor expansion of re in im
26.649 * [backup-simplify]: Simplify re into re
26.649 * [backup-simplify]: Simplify (* re re) into (pow re 2)
26.649 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
26.649 * [backup-simplify]: Simplify (+ 1 0) into 1
26.650 * [backup-simplify]: Simplify (sqrt 1) into 1
26.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.651 * [backup-simplify]: Simplify (+ 0 0) into 0
26.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.652 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.652 * [taylor]: Taking taylor expansion of im in re
26.652 * [backup-simplify]: Simplify im into im
26.652 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.652 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.653 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.653 * [taylor]: Taking taylor expansion of re in re
26.653 * [backup-simplify]: Simplify 0 into 0
26.653 * [backup-simplify]: Simplify 1 into 1
26.653 * [backup-simplify]: Simplify (* 1 1) into 1
26.653 * [backup-simplify]: Simplify (/ 1 1) into 1
26.654 * [backup-simplify]: Simplify (+ 0 1) into 1
26.654 * [backup-simplify]: Simplify (sqrt 1) into 1
26.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.656 * [backup-simplify]: Simplify (+ 0 0) into 0
26.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.657 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.657 * [taylor]: Taking taylor expansion of im in re
26.657 * [backup-simplify]: Simplify im into im
26.657 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.657 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.657 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.657 * [taylor]: Taking taylor expansion of re in re
26.657 * [backup-simplify]: Simplify 0 into 0
26.657 * [backup-simplify]: Simplify 1 into 1
26.658 * [backup-simplify]: Simplify (* 1 1) into 1
26.658 * [backup-simplify]: Simplify (/ 1 1) into 1
26.659 * [backup-simplify]: Simplify (+ 0 1) into 1
26.659 * [backup-simplify]: Simplify (sqrt 1) into 1
26.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.669 * [backup-simplify]: Simplify (+ 0 0) into 0
26.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.670 * [taylor]: Taking taylor expansion of 1 in im
26.670 * [backup-simplify]: Simplify 1 into 1
26.670 * [taylor]: Taking taylor expansion of 0 in im
26.670 * [backup-simplify]: Simplify 0 into 0
26.670 * [backup-simplify]: Simplify 1 into 1
26.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.672 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
26.700 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
26.700 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
26.700 * [taylor]: Taking taylor expansion of 1/2 in im
26.700 * [backup-simplify]: Simplify 1/2 into 1/2
26.700 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.700 * [taylor]: Taking taylor expansion of im in im
26.700 * [backup-simplify]: Simplify 0 into 0
26.700 * [backup-simplify]: Simplify 1 into 1
26.707 * [backup-simplify]: Simplify (* 1 1) into 1
26.708 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
26.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
26.710 * [backup-simplify]: Simplify 0 into 0
26.710 * [backup-simplify]: Simplify 0 into 0
26.710 * [backup-simplify]: Simplify 0 into 0
26.710 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
26.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
26.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.713 * [backup-simplify]: Simplify (+ 0 0) into 0
26.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
26.714 * [taylor]: Taking taylor expansion of 0 in im
26.714 * [backup-simplify]: Simplify 0 into 0
26.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.716 * [backup-simplify]: Simplify 0 into 0
26.716 * [backup-simplify]: Simplify 0 into 0
26.716 * [backup-simplify]: Simplify 0 into 0
26.716 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
26.716 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
26.717 * [backup-simplify]: Simplify (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
26.717 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
26.717 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
26.717 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
26.717 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
26.717 * [taylor]: Taking taylor expansion of (pow re 2) in im
26.717 * [taylor]: Taking taylor expansion of re in im
26.717 * [backup-simplify]: Simplify re into re
26.717 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.717 * [taylor]: Taking taylor expansion of im in im
26.717 * [backup-simplify]: Simplify 0 into 0
26.717 * [backup-simplify]: Simplify 1 into 1
26.718 * [backup-simplify]: Simplify (* re re) into (pow re 2)
26.718 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
26.718 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
26.718 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
26.718 * [backup-simplify]: Simplify (+ 0 0) into 0
26.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
26.719 * [taylor]: Taking taylor expansion of re in im
26.719 * [backup-simplify]: Simplify re into re
26.719 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
26.719 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
26.719 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
26.719 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.719 * [taylor]: Taking taylor expansion of re in re
26.719 * [backup-simplify]: Simplify 0 into 0
26.719 * [backup-simplify]: Simplify 1 into 1
26.719 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.719 * [taylor]: Taking taylor expansion of im in re
26.719 * [backup-simplify]: Simplify im into im
26.719 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.719 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
26.719 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
26.719 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
26.720 * [backup-simplify]: Simplify (+ 0 0) into 0
26.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
26.720 * [taylor]: Taking taylor expansion of re in re
26.720 * [backup-simplify]: Simplify 0 into 0
26.720 * [backup-simplify]: Simplify 1 into 1
26.720 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
26.720 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
26.720 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
26.720 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.721 * [taylor]: Taking taylor expansion of re in re
26.721 * [backup-simplify]: Simplify 0 into 0
26.721 * [backup-simplify]: Simplify 1 into 1
26.721 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.721 * [taylor]: Taking taylor expansion of im in re
26.721 * [backup-simplify]: Simplify im into im
26.721 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.721 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
26.721 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
26.721 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
26.722 * [backup-simplify]: Simplify (+ 0 0) into 0
26.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
26.722 * [taylor]: Taking taylor expansion of re in re
26.722 * [backup-simplify]: Simplify 0 into 0
26.722 * [backup-simplify]: Simplify 1 into 1
26.722 * [backup-simplify]: Simplify (- 0) into 0
26.722 * [backup-simplify]: Simplify (+ im 0) into im
26.723 * [taylor]: Taking taylor expansion of im in im
26.723 * [backup-simplify]: Simplify 0 into 0
26.723 * [backup-simplify]: Simplify 1 into 1
26.723 * [backup-simplify]: Simplify 0 into 0
26.723 * [backup-simplify]: Simplify (- 1) into -1
26.724 * [backup-simplify]: Simplify (+ 0 -1) into -1
26.724 * [taylor]: Taking taylor expansion of -1 in im
26.724 * [backup-simplify]: Simplify -1 into -1
26.724 * [backup-simplify]: Simplify -1 into -1
26.724 * [backup-simplify]: Simplify 1 into 1
26.725 * [backup-simplify]: Simplify (* 1 1) into 1
26.736 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
26.737 * [backup-simplify]: Simplify (+ 1 0) into 1
26.744 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
26.746 * [backup-simplify]: Simplify (- 0) into 0
26.746 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
26.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
26.746 * [taylor]: Taking taylor expansion of 1/2 in im
26.746 * [backup-simplify]: Simplify 1/2 into 1/2
26.746 * [taylor]: Taking taylor expansion of (/ 1 im) in im
26.746 * [taylor]: Taking taylor expansion of im in im
26.746 * [backup-simplify]: Simplify 0 into 0
26.746 * [backup-simplify]: Simplify 1 into 1
26.747 * [backup-simplify]: Simplify (/ 1 1) into 1
26.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
26.756 * [backup-simplify]: Simplify 0 into 0
26.756 * [backup-simplify]: Simplify 0 into 0
26.756 * [backup-simplify]: Simplify 0 into 0
26.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.764 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
26.764 * [backup-simplify]: Simplify (+ 0 0) into 0
26.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
26.765 * [backup-simplify]: Simplify (- 0) into 0
26.765 * [backup-simplify]: Simplify (+ 0 0) into 0
26.765 * [taylor]: Taking taylor expansion of 0 in im
26.765 * [backup-simplify]: Simplify 0 into 0
26.765 * [backup-simplify]: Simplify 0 into 0
26.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
26.767 * [backup-simplify]: Simplify 0 into 0
26.767 * [backup-simplify]: Simplify 0 into 0
26.768 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
26.773 * [backup-simplify]: Simplify (- (* (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) 1) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
26.773 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
26.773 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
26.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
26.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
26.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
26.773 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.773 * [taylor]: Taking taylor expansion of im in im
26.773 * [backup-simplify]: Simplify 0 into 0
26.773 * [backup-simplify]: Simplify 1 into 1
26.855 * [backup-simplify]: Simplify (* 1 1) into 1
26.881 * [backup-simplify]: Simplify (/ 1 1) into 1
26.881 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
26.881 * [taylor]: Taking taylor expansion of (pow re 2) in im
26.881 * [taylor]: Taking taylor expansion of re in im
26.882 * [backup-simplify]: Simplify re into re
26.882 * [backup-simplify]: Simplify (* re re) into (pow re 2)
26.882 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
26.882 * [backup-simplify]: Simplify (+ 1 0) into 1
26.883 * [backup-simplify]: Simplify (sqrt 1) into 1
26.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.884 * [backup-simplify]: Simplify (+ 0 0) into 0
26.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.885 * [taylor]: Taking taylor expansion of (/ 1 re) in im
26.885 * [taylor]: Taking taylor expansion of re in im
26.885 * [backup-simplify]: Simplify re into re
26.885 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
26.885 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
26.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.885 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.885 * [taylor]: Taking taylor expansion of im in re
26.885 * [backup-simplify]: Simplify im into im
26.886 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.886 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.886 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.886 * [taylor]: Taking taylor expansion of re in re
26.886 * [backup-simplify]: Simplify 0 into 0
26.886 * [backup-simplify]: Simplify 1 into 1
26.900 * [backup-simplify]: Simplify (* 1 1) into 1
26.901 * [backup-simplify]: Simplify (/ 1 1) into 1
26.901 * [backup-simplify]: Simplify (+ 0 1) into 1
26.902 * [backup-simplify]: Simplify (sqrt 1) into 1
26.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.904 * [backup-simplify]: Simplify (+ 0 0) into 0
26.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.913 * [taylor]: Taking taylor expansion of (/ 1 re) in re
26.913 * [taylor]: Taking taylor expansion of re in re
26.913 * [backup-simplify]: Simplify 0 into 0
26.913 * [backup-simplify]: Simplify 1 into 1
26.913 * [backup-simplify]: Simplify (/ 1 1) into 1
26.913 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
26.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.913 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.914 * [taylor]: Taking taylor expansion of im in re
26.914 * [backup-simplify]: Simplify im into im
26.914 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.914 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.914 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.914 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.914 * [taylor]: Taking taylor expansion of re in re
26.914 * [backup-simplify]: Simplify 0 into 0
26.914 * [backup-simplify]: Simplify 1 into 1
26.914 * [backup-simplify]: Simplify (* 1 1) into 1
26.915 * [backup-simplify]: Simplify (/ 1 1) into 1
26.915 * [backup-simplify]: Simplify (+ 0 1) into 1
26.916 * [backup-simplify]: Simplify (sqrt 1) into 1
26.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.920 * [backup-simplify]: Simplify (+ 0 0) into 0
26.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.921 * [taylor]: Taking taylor expansion of (/ 1 re) in re
26.921 * [taylor]: Taking taylor expansion of re in re
26.921 * [backup-simplify]: Simplify 0 into 0
26.921 * [backup-simplify]: Simplify 1 into 1
26.921 * [backup-simplify]: Simplify (/ 1 1) into 1
26.922 * [backup-simplify]: Simplify (- 1) into -1
26.922 * [backup-simplify]: Simplify (+ 1 -1) into 0
26.922 * [taylor]: Taking taylor expansion of 0 in im
26.922 * [backup-simplify]: Simplify 0 into 0
26.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.923 * [backup-simplify]: Simplify (- 0) into 0
26.924 * [backup-simplify]: Simplify (+ 0 0) into 0
26.924 * [taylor]: Taking taylor expansion of 0 in im
26.934 * [backup-simplify]: Simplify 0 into 0
26.934 * [backup-simplify]: Simplify 0 into 0
26.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.937 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
26.940 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
26.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.942 * [backup-simplify]: Simplify (- 0) into 0
26.942 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
26.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
26.942 * [taylor]: Taking taylor expansion of 1/2 in im
26.942 * [backup-simplify]: Simplify 1/2 into 1/2
26.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
26.942 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.942 * [taylor]: Taking taylor expansion of im in im
26.942 * [backup-simplify]: Simplify 0 into 0
26.942 * [backup-simplify]: Simplify 1 into 1
26.943 * [backup-simplify]: Simplify (* 1 1) into 1
26.943 * [backup-simplify]: Simplify (/ 1 1) into 1
26.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
26.946 * [backup-simplify]: Simplify 0 into 0
26.946 * [backup-simplify]: Simplify 0 into 0
26.946 * [backup-simplify]: Simplify 0 into 0
26.946 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
26.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
26.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.949 * [backup-simplify]: Simplify (+ 0 0) into 0
26.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
26.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.951 * [backup-simplify]: Simplify (- 0) into 0
26.952 * [backup-simplify]: Simplify (+ 0 0) into 0
26.952 * [taylor]: Taking taylor expansion of 0 in im
26.952 * [backup-simplify]: Simplify 0 into 0
26.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
26.955 * [backup-simplify]: Simplify 0 into 0
26.956 * [backup-simplify]: Simplify 0 into 0
26.956 * [backup-simplify]: Simplify 0 into 0
26.961 * [backup-simplify]: Simplify (- (* (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) 1) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
26.961 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
26.961 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
26.962 * [taylor]: Taking taylor expansion of (/ 1 re) in im
26.962 * [taylor]: Taking taylor expansion of re in im
26.962 * [backup-simplify]: Simplify re into re
26.962 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
26.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
26.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
26.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
26.962 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.962 * [taylor]: Taking taylor expansion of im in im
26.962 * [backup-simplify]: Simplify 0 into 0
26.962 * [backup-simplify]: Simplify 1 into 1
26.962 * [backup-simplify]: Simplify (* 1 1) into 1
26.963 * [backup-simplify]: Simplify (/ 1 1) into 1
26.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
26.963 * [taylor]: Taking taylor expansion of (pow re 2) in im
26.963 * [taylor]: Taking taylor expansion of re in im
26.963 * [backup-simplify]: Simplify re into re
26.963 * [backup-simplify]: Simplify (* re re) into (pow re 2)
26.963 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
26.964 * [backup-simplify]: Simplify (+ 1 0) into 1
26.964 * [backup-simplify]: Simplify (sqrt 1) into 1
26.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.966 * [backup-simplify]: Simplify (+ 0 0) into 0
26.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.967 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
26.967 * [taylor]: Taking taylor expansion of (/ 1 re) in re
26.967 * [taylor]: Taking taylor expansion of re in re
26.967 * [backup-simplify]: Simplify 0 into 0
26.967 * [backup-simplify]: Simplify 1 into 1
26.967 * [backup-simplify]: Simplify (/ 1 1) into 1
26.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.967 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.967 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.967 * [taylor]: Taking taylor expansion of im in re
26.967 * [backup-simplify]: Simplify im into im
26.968 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.968 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.968 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.968 * [taylor]: Taking taylor expansion of re in re
26.968 * [backup-simplify]: Simplify 0 into 0
26.968 * [backup-simplify]: Simplify 1 into 1
26.968 * [backup-simplify]: Simplify (* 1 1) into 1
26.969 * [backup-simplify]: Simplify (/ 1 1) into 1
26.969 * [backup-simplify]: Simplify (+ 0 1) into 1
26.970 * [backup-simplify]: Simplify (sqrt 1) into 1
26.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.971 * [backup-simplify]: Simplify (+ 0 0) into 0
26.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.972 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
26.972 * [taylor]: Taking taylor expansion of (/ 1 re) in re
26.972 * [taylor]: Taking taylor expansion of re in re
26.972 * [backup-simplify]: Simplify 0 into 0
26.972 * [backup-simplify]: Simplify 1 into 1
26.973 * [backup-simplify]: Simplify (/ 1 1) into 1
26.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
26.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
26.973 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
26.973 * [taylor]: Taking taylor expansion of (pow im 2) in re
26.973 * [taylor]: Taking taylor expansion of im in re
26.973 * [backup-simplify]: Simplify im into im
26.973 * [backup-simplify]: Simplify (* im im) into (pow im 2)
26.973 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
26.973 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
26.973 * [taylor]: Taking taylor expansion of (pow re 2) in re
26.973 * [taylor]: Taking taylor expansion of re in re
26.973 * [backup-simplify]: Simplify 0 into 0
26.973 * [backup-simplify]: Simplify 1 into 1
26.974 * [backup-simplify]: Simplify (* 1 1) into 1
26.974 * [backup-simplify]: Simplify (/ 1 1) into 1
26.978 * [backup-simplify]: Simplify (+ 0 1) into 1
26.978 * [backup-simplify]: Simplify (sqrt 1) into 1
26.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.980 * [backup-simplify]: Simplify (+ 0 0) into 0
26.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
26.989 * [backup-simplify]: Simplify (+ 1 1) into 2
26.989 * [taylor]: Taking taylor expansion of 2 in im
26.989 * [backup-simplify]: Simplify 2 into 2
26.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.990 * [backup-simplify]: Simplify (+ 0 0) into 0
26.990 * [taylor]: Taking taylor expansion of 0 in im
26.990 * [backup-simplify]: Simplify 0 into 0
26.990 * [backup-simplify]: Simplify 2 into 2
26.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.997 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
26.998 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
26.999 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
26.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
26.999 * [taylor]: Taking taylor expansion of 1/2 in im
26.999 * [backup-simplify]: Simplify 1/2 into 1/2
26.999 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
26.999 * [taylor]: Taking taylor expansion of (pow im 2) in im
26.999 * [taylor]: Taking taylor expansion of im in im
26.999 * [backup-simplify]: Simplify 0 into 0
26.999 * [backup-simplify]: Simplify 1 into 1
26.999 * [backup-simplify]: Simplify (* 1 1) into 1
27.000 * [backup-simplify]: Simplify (/ 1 1) into 1
27.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
27.006 * [backup-simplify]: Simplify 0 into 0
27.006 * [backup-simplify]: Simplify 0 into 0
27.006 * [backup-simplify]: Simplify 0 into 0
27.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.007 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
27.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
27.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
27.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.014 * [backup-simplify]: Simplify (+ 0 0) into 0
27.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
27.016 * [backup-simplify]: Simplify (+ 0 0) into 0
27.016 * [taylor]: Taking taylor expansion of 0 in im
27.016 * [backup-simplify]: Simplify 0 into 0
27.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
27.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
27.019 * [backup-simplify]: Simplify 0 into 0
27.019 * [backup-simplify]: Simplify 0 into 0
27.019 * [backup-simplify]: Simplify 0 into 0
27.019 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
27.028 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
27.029 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
27.029 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
27.029 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
27.029 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
27.029 * [taylor]: Taking taylor expansion of (pow re 2) in im
27.029 * [taylor]: Taking taylor expansion of re in im
27.029 * [backup-simplify]: Simplify re into re
27.029 * [taylor]: Taking taylor expansion of (pow im 2) in im
27.029 * [taylor]: Taking taylor expansion of im in im
27.029 * [backup-simplify]: Simplify 0 into 0
27.029 * [backup-simplify]: Simplify 1 into 1
27.029 * [backup-simplify]: Simplify (* re re) into (pow re 2)
27.029 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
27.029 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
27.029 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
27.030 * [backup-simplify]: Simplify (+ 0 0) into 0
27.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
27.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
27.030 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
27.030 * [taylor]: Taking taylor expansion of (pow re 2) in re
27.030 * [taylor]: Taking taylor expansion of re in re
27.030 * [backup-simplify]: Simplify 0 into 0
27.030 * [backup-simplify]: Simplify 1 into 1
27.030 * [taylor]: Taking taylor expansion of (pow im 2) in re
27.030 * [taylor]: Taking taylor expansion of im in re
27.030 * [backup-simplify]: Simplify im into im
27.030 * [backup-simplify]: Simplify (* im im) into (pow im 2)
27.031 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
27.031 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
27.031 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
27.031 * [backup-simplify]: Simplify (+ 0 0) into 0
27.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
27.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
27.031 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
27.031 * [taylor]: Taking taylor expansion of (pow re 2) in re
27.031 * [taylor]: Taking taylor expansion of re in re
27.032 * [backup-simplify]: Simplify 0 into 0
27.032 * [backup-simplify]: Simplify 1 into 1
27.032 * [taylor]: Taking taylor expansion of (pow im 2) in re
27.032 * [taylor]: Taking taylor expansion of im in re
27.032 * [backup-simplify]: Simplify im into im
27.032 * [backup-simplify]: Simplify (* im im) into (pow im 2)
27.032 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
27.032 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
27.032 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
27.033 * [backup-simplify]: Simplify (+ 0 0) into 0
27.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
27.033 * [taylor]: Taking taylor expansion of im in im
27.033 * [backup-simplify]: Simplify 0 into 0
27.033 * [backup-simplify]: Simplify 1 into 1
27.033 * [backup-simplify]: Simplify 0 into 0
27.033 * [taylor]: Taking taylor expansion of 0 in im
27.033 * [backup-simplify]: Simplify 0 into 0
27.033 * [backup-simplify]: Simplify 0 into 0
27.033 * [backup-simplify]: Simplify 1 into 1
27.034 * [backup-simplify]: Simplify (* 1 1) into 1
27.034 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
27.034 * [backup-simplify]: Simplify (+ 1 0) into 1
27.035 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
27.035 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
27.035 * [taylor]: Taking taylor expansion of 1/2 in im
27.035 * [backup-simplify]: Simplify 1/2 into 1/2
27.035 * [taylor]: Taking taylor expansion of im in im
27.035 * [backup-simplify]: Simplify 0 into 0
27.035 * [backup-simplify]: Simplify 1 into 1
27.036 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
27.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
27.041 * [backup-simplify]: Simplify 0 into 0
27.041 * [backup-simplify]: Simplify 0 into 0
27.041 * [backup-simplify]: Simplify 0 into 0
27.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.042 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
27.043 * [backup-simplify]: Simplify (+ 0 0) into 0
27.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
27.043 * [taylor]: Taking taylor expansion of 0 in im
27.043 * [backup-simplify]: Simplify 0 into 0
27.043 * [backup-simplify]: Simplify 0 into 0
27.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.048 * [backup-simplify]: Simplify 0 into 0
27.048 * [backup-simplify]: Simplify 0 into 0
27.048 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
27.049 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) 1) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
27.049 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
27.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
27.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
27.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
27.049 * [taylor]: Taking taylor expansion of (pow im 2) in im
27.049 * [taylor]: Taking taylor expansion of im in im
27.049 * [backup-simplify]: Simplify 0 into 0
27.049 * [backup-simplify]: Simplify 1 into 1
27.050 * [backup-simplify]: Simplify (* 1 1) into 1
27.050 * [backup-simplify]: Simplify (/ 1 1) into 1
27.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
27.050 * [taylor]: Taking taylor expansion of (pow re 2) in im
27.050 * [taylor]: Taking taylor expansion of re in im
27.050 * [backup-simplify]: Simplify re into re
27.050 * [backup-simplify]: Simplify (* re re) into (pow re 2)
27.051 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
27.051 * [backup-simplify]: Simplify (+ 1 0) into 1
27.051 * [backup-simplify]: Simplify (sqrt 1) into 1
27.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.058 * [backup-simplify]: Simplify (+ 0 0) into 0
27.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
27.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
27.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
27.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
27.058 * [taylor]: Taking taylor expansion of (pow im 2) in re
27.058 * [taylor]: Taking taylor expansion of im in re
27.058 * [backup-simplify]: Simplify im into im
27.059 * [backup-simplify]: Simplify (* im im) into (pow im 2)
27.059 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
27.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
27.059 * [taylor]: Taking taylor expansion of (pow re 2) in re
27.059 * [taylor]: Taking taylor expansion of re in re
27.059 * [backup-simplify]: Simplify 0 into 0
27.059 * [backup-simplify]: Simplify 1 into 1
27.059 * [backup-simplify]: Simplify (* 1 1) into 1
27.060 * [backup-simplify]: Simplify (/ 1 1) into 1
27.061 * [backup-simplify]: Simplify (+ 0 1) into 1
27.061 * [backup-simplify]: Simplify (sqrt 1) into 1
27.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.063 * [backup-simplify]: Simplify (+ 0 0) into 0
27.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
27.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
27.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
27.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
27.064 * [taylor]: Taking taylor expansion of (pow im 2) in re
27.064 * [taylor]: Taking taylor expansion of im in re
27.064 * [backup-simplify]: Simplify im into im
27.064 * [backup-simplify]: Simplify (* im im) into (pow im 2)
27.064 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
27.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
27.064 * [taylor]: Taking taylor expansion of (pow re 2) in re
27.064 * [taylor]: Taking taylor expansion of re in re
27.064 * [backup-simplify]: Simplify 0 into 0
27.064 * [backup-simplify]: Simplify 1 into 1
27.065 * [backup-simplify]: Simplify (* 1 1) into 1
27.065 * [backup-simplify]: Simplify (/ 1 1) into 1
27.070 * [backup-simplify]: Simplify (+ 0 1) into 1
27.070 * [backup-simplify]: Simplify (sqrt 1) into 1
27.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.072 * [backup-simplify]: Simplify (+ 0 0) into 0
27.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
27.073 * [taylor]: Taking taylor expansion of 1 in im
27.073 * [backup-simplify]: Simplify 1 into 1
27.073 * [taylor]: Taking taylor expansion of 0 in im
27.073 * [backup-simplify]: Simplify 0 into 0
27.073 * [backup-simplify]: Simplify 1 into 1
27.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
27.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.075 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
27.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
27.081 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
27.081 * [taylor]: Taking taylor expansion of 1/2 in im
27.081 * [backup-simplify]: Simplify 1/2 into 1/2
27.081 * [taylor]: Taking taylor expansion of (pow im 2) in im
27.081 * [taylor]: Taking taylor expansion of im in im
27.081 * [backup-simplify]: Simplify 0 into 0
27.081 * [backup-simplify]: Simplify 1 into 1
27.081 * [backup-simplify]: Simplify (* 1 1) into 1
27.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
27.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
27.083 * [backup-simplify]: Simplify 0 into 0
27.083 * [backup-simplify]: Simplify 0 into 0
27.083 * [backup-simplify]: Simplify 0 into 0
27.083 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
27.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
27.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
27.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.093 * [backup-simplify]: Simplify (+ 0 0) into 0
27.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
27.094 * [taylor]: Taking taylor expansion of 0 in im
27.094 * [backup-simplify]: Simplify 0 into 0
27.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
27.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.102 * [backup-simplify]: Simplify 0 into 0
27.102 * [backup-simplify]: Simplify 0 into 0
27.102 * [backup-simplify]: Simplify 0 into 0
27.102 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
27.103 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) 1) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
27.103 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
27.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
27.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
27.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
27.103 * [taylor]: Taking taylor expansion of (pow im 2) in im
27.104 * [taylor]: Taking taylor expansion of im in im
27.104 * [backup-simplify]: Simplify 0 into 0
27.104 * [backup-simplify]: Simplify 1 into 1
27.108 * [backup-simplify]: Simplify (* 1 1) into 1
27.109 * [backup-simplify]: Simplify (/ 1 1) into 1
27.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
27.109 * [taylor]: Taking taylor expansion of (pow re 2) in im
27.109 * [taylor]: Taking taylor expansion of re in im
27.109 * [backup-simplify]: Simplify re into re
27.109 * [backup-simplify]: Simplify (* re re) into (pow re 2)
27.109 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
27.110 * [backup-simplify]: Simplify (+ 1 0) into 1
27.110 * [backup-simplify]: Simplify (sqrt 1) into 1
27.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.112 * [backup-simplify]: Simplify (+ 0 0) into 0
27.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
27.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
27.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
27.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
27.113 * [taylor]: Taking taylor expansion of (pow im 2) in re
27.113 * [taylor]: Taking taylor expansion of im in re
27.113 * [backup-simplify]: Simplify im into im
27.113 * [backup-simplify]: Simplify (* im im) into (pow im 2)
27.114 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
27.114 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
27.114 * [taylor]: Taking taylor expansion of (pow re 2) in re
27.114 * [taylor]: Taking taylor expansion of re in re
27.114 * [backup-simplify]: Simplify 0 into 0
27.114 * [backup-simplify]: Simplify 1 into 1
27.114 * [backup-simplify]: Simplify (* 1 1) into 1
27.115 * [backup-simplify]: Simplify (/ 1 1) into 1
27.115 * [backup-simplify]: Simplify (+ 0 1) into 1
27.124 * [backup-simplify]: Simplify (sqrt 1) into 1
27.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.126 * [backup-simplify]: Simplify (+ 0 0) into 0
27.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
27.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
27.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
27.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
27.127 * [taylor]: Taking taylor expansion of (pow im 2) in re
27.127 * [taylor]: Taking taylor expansion of im in re
27.127 * [backup-simplify]: Simplify im into im
27.127 * [backup-simplify]: Simplify (* im im) into (pow im 2)
27.127 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
27.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
27.128 * [taylor]: Taking taylor expansion of (pow re 2) in re
27.128 * [taylor]: Taking taylor expansion of re in re
27.128 * [backup-simplify]: Simplify 0 into 0
27.128 * [backup-simplify]: Simplify 1 into 1
27.128 * [backup-simplify]: Simplify (* 1 1) into 1
27.129 * [backup-simplify]: Simplify (/ 1 1) into 1
27.129 * [backup-simplify]: Simplify (+ 0 1) into 1
27.130 * [backup-simplify]: Simplify (sqrt 1) into 1
27.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.131 * [backup-simplify]: Simplify (+ 0 0) into 0
27.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
27.132 * [taylor]: Taking taylor expansion of 1 in im
27.132 * [backup-simplify]: Simplify 1 into 1
27.132 * [taylor]: Taking taylor expansion of 0 in im
27.132 * [backup-simplify]: Simplify 0 into 0
27.132 * [backup-simplify]: Simplify 1 into 1
27.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
27.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.135 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
27.136 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
27.136 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
27.136 * [taylor]: Taking taylor expansion of 1/2 in im
27.136 * [backup-simplify]: Simplify 1/2 into 1/2
27.136 * [taylor]: Taking taylor expansion of (pow im 2) in im
27.136 * [taylor]: Taking taylor expansion of im in im
27.136 * [backup-simplify]: Simplify 0 into 0
27.136 * [backup-simplify]: Simplify 1 into 1
27.137 * [backup-simplify]: Simplify (* 1 1) into 1
27.137 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
27.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
27.151 * [backup-simplify]: Simplify 0 into 0
27.151 * [backup-simplify]: Simplify 0 into 0
27.151 * [backup-simplify]: Simplify 0 into 0
27.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
27.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
27.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
27.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.154 * [backup-simplify]: Simplify (+ 0 0) into 0
27.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
27.166 * [taylor]: Taking taylor expansion of 0 in im
27.166 * [backup-simplify]: Simplify 0 into 0
27.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
27.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.183 * [backup-simplify]: Simplify 0 into 0
27.184 * [backup-simplify]: Simplify 0 into 0
27.184 * [backup-simplify]: Simplify 0 into 0
27.184 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
27.192 * * * [progress]: simplifying candidates
27.209 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (/ (exp (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (- (pow (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- re)
  (- (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (- re)
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im)))))
  (+ (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) 0) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (+ (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log 1)) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (+ (log (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* 1 1) 1)) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) 1) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) 1) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) 1) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) 1) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt 1)))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt 1))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) 1)
  (* 1 (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) 1) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) 1) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  im
  re
  (* -1 re)
27.234 * * [simplify]: iteration 0: 119 enodes
27.661 * * [simplify]: iteration 1: 280 enodes
28.204 * * [simplify]: iteration 2: 672 enodes
30.415 * * [simplify]: iteration 3: 1403 enodes
37.297 * * [simplify]: iteration 4: 4226 enodes
46.339 * * [simplify]: iteration complete: 5006 enodes
46.339 * * [simplify]: Extracting #0: cost 39 inf + 0
46.339 * * [simplify]: Extracting #1: cost 146 inf + 5
46.342 * * [simplify]: Extracting #2: cost 516 inf + 1079
46.366 * * [simplify]: Extracting #3: cost 873 inf + 36802
46.420 * * [simplify]: Extracting #4: cost 416 inf + 174289
46.520 * * [simplify]: Extracting #5: cost 135 inf + 263505
46.826 * * [simplify]: Extracting #6: cost 58 inf + 298267
46.956 * * [simplify]: Extracting #7: cost 36 inf + 305234
47.214 * * [simplify]: Extracting #8: cost 3 inf + 310887
47.409 * * [simplify]: Extracting #9: cost 0 inf + 311766
47.531 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* re re) (* (* re re) (* re re)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* re re) (* (* re re) (* re re)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re)))
  (+ (* re (sqrt (+ (* re re) (* im im)))) (+ (* re re) (+ (* re re) (* im im))))
  (- re)
  (* im im)
  (+ re (sqrt (+ (* re re) (* im im))))
  (- re)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* re re) (* (* re re) (* re re)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* re re) (* (* re re) (* re re)))))))
  (* (sqrt (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* re re) (* (* re re) (* re re)))))))
  (* (sqrt (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* re re) (* (* re re) (* re re)))))))
  (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* re re) (* (* re re) (* re re)))))))
  (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (- re)
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
  im
  re
  (- re)
47.550 * * * [progress]: adding candidates to table
48.860 * * [progress]: iteration 4 / 4
48.861 * * * [progress]: picking best candidate
48.915 * * * * [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)))))>
48.915 * * * [progress]: localizing error
49.010 * * * [progress]: generating rewritten candidates
49.019 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
49.063 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
49.093 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
49.132 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
49.465 * * * [progress]: generating series expansions
49.465 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
49.466 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
49.466 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
49.466 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
49.466 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
49.466 * [taylor]: Taking taylor expansion of (pow re 2) in im
49.466 * [taylor]: Taking taylor expansion of re in im
49.466 * [backup-simplify]: Simplify re into re
49.466 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.466 * [taylor]: Taking taylor expansion of im in im
49.466 * [backup-simplify]: Simplify 0 into 0
49.466 * [backup-simplify]: Simplify 1 into 1
49.466 * [backup-simplify]: Simplify (* re re) into (pow re 2)
49.466 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
49.466 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
49.467 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
49.480 * [backup-simplify]: Simplify (+ 0 0) into 0
49.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
49.481 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
49.481 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
49.481 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.481 * [taylor]: Taking taylor expansion of re in re
49.481 * [backup-simplify]: Simplify 0 into 0
49.481 * [backup-simplify]: Simplify 1 into 1
49.481 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.481 * [taylor]: Taking taylor expansion of im in re
49.481 * [backup-simplify]: Simplify im into im
49.481 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.481 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
49.481 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
49.482 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.482 * [backup-simplify]: Simplify (+ 0 0) into 0
49.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
49.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
49.482 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
49.482 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.483 * [taylor]: Taking taylor expansion of re in re
49.483 * [backup-simplify]: Simplify 0 into 0
49.483 * [backup-simplify]: Simplify 1 into 1
49.483 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.483 * [taylor]: Taking taylor expansion of im in re
49.483 * [backup-simplify]: Simplify im into im
49.483 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.483 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
49.483 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
49.483 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.484 * [backup-simplify]: Simplify (+ 0 0) into 0
49.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
49.488 * [taylor]: Taking taylor expansion of im in im
49.488 * [backup-simplify]: Simplify 0 into 0
49.489 * [backup-simplify]: Simplify 1 into 1
49.489 * [backup-simplify]: Simplify 0 into 0
49.489 * [taylor]: Taking taylor expansion of 0 in im
49.489 * [backup-simplify]: Simplify 0 into 0
49.489 * [backup-simplify]: Simplify 0 into 0
49.489 * [backup-simplify]: Simplify 1 into 1
49.489 * [backup-simplify]: Simplify (* 1 1) into 1
49.490 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
49.491 * [backup-simplify]: Simplify (+ 1 0) into 1
49.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
49.492 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
49.492 * [taylor]: Taking taylor expansion of 1/2 in im
49.492 * [backup-simplify]: Simplify 1/2 into 1/2
49.492 * [taylor]: Taking taylor expansion of im in im
49.492 * [backup-simplify]: Simplify 0 into 0
49.492 * [backup-simplify]: Simplify 1 into 1
49.492 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
49.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
49.493 * [backup-simplify]: Simplify 0 into 0
49.493 * [backup-simplify]: Simplify 0 into 0
49.493 * [backup-simplify]: Simplify 0 into 0
49.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.496 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
49.497 * [backup-simplify]: Simplify (+ 0 0) into 0
49.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
49.497 * [taylor]: Taking taylor expansion of 0 in im
49.497 * [backup-simplify]: Simplify 0 into 0
49.497 * [backup-simplify]: Simplify 0 into 0
49.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.498 * [backup-simplify]: Simplify 0 into 0
49.498 * [backup-simplify]: Simplify 0 into 0
49.498 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
49.498 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
49.498 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
49.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
49.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
49.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
49.499 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.499 * [taylor]: Taking taylor expansion of im in im
49.499 * [backup-simplify]: Simplify 0 into 0
49.499 * [backup-simplify]: Simplify 1 into 1
49.499 * [backup-simplify]: Simplify (* 1 1) into 1
49.499 * [backup-simplify]: Simplify (/ 1 1) into 1
49.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
49.500 * [taylor]: Taking taylor expansion of (pow re 2) in im
49.500 * [taylor]: Taking taylor expansion of re in im
49.500 * [backup-simplify]: Simplify re into re
49.500 * [backup-simplify]: Simplify (* re re) into (pow re 2)
49.500 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
49.501 * [backup-simplify]: Simplify (+ 1 0) into 1
49.502 * [backup-simplify]: Simplify (sqrt 1) into 1
49.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.504 * [backup-simplify]: Simplify (+ 0 0) into 0
49.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.505 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.505 * [taylor]: Taking taylor expansion of im in re
49.505 * [backup-simplify]: Simplify im into im
49.505 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.505 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.505 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.505 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.505 * [taylor]: Taking taylor expansion of re in re
49.505 * [backup-simplify]: Simplify 0 into 0
49.505 * [backup-simplify]: Simplify 1 into 1
49.506 * [backup-simplify]: Simplify (* 1 1) into 1
49.506 * [backup-simplify]: Simplify (/ 1 1) into 1
49.507 * [backup-simplify]: Simplify (+ 0 1) into 1
49.507 * [backup-simplify]: Simplify (sqrt 1) into 1
49.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.529 * [backup-simplify]: Simplify (+ 0 0) into 0
49.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.530 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.530 * [taylor]: Taking taylor expansion of im in re
49.530 * [backup-simplify]: Simplify im into im
49.530 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.530 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.530 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.530 * [taylor]: Taking taylor expansion of re in re
49.530 * [backup-simplify]: Simplify 0 into 0
49.530 * [backup-simplify]: Simplify 1 into 1
49.540 * [backup-simplify]: Simplify (* 1 1) into 1
49.540 * [backup-simplify]: Simplify (/ 1 1) into 1
49.541 * [backup-simplify]: Simplify (+ 0 1) into 1
49.541 * [backup-simplify]: Simplify (sqrt 1) into 1
49.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.543 * [backup-simplify]: Simplify (+ 0 0) into 0
49.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.544 * [taylor]: Taking taylor expansion of 1 in im
49.544 * [backup-simplify]: Simplify 1 into 1
49.544 * [taylor]: Taking taylor expansion of 0 in im
49.544 * [backup-simplify]: Simplify 0 into 0
49.573 * [backup-simplify]: Simplify 1 into 1
49.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
49.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.577 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
49.598 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
49.598 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
49.598 * [taylor]: Taking taylor expansion of 1/2 in im
49.598 * [backup-simplify]: Simplify 1/2 into 1/2
49.598 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.598 * [taylor]: Taking taylor expansion of im in im
49.598 * [backup-simplify]: Simplify 0 into 0
49.598 * [backup-simplify]: Simplify 1 into 1
49.598 * [backup-simplify]: Simplify (* 1 1) into 1
49.599 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
49.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
49.612 * [backup-simplify]: Simplify 0 into 0
49.613 * [backup-simplify]: Simplify 0 into 0
49.613 * [backup-simplify]: Simplify 0 into 0
49.613 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
49.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
49.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.616 * [backup-simplify]: Simplify (+ 0 0) into 0
49.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
49.621 * [taylor]: Taking taylor expansion of 0 in im
49.621 * [backup-simplify]: Simplify 0 into 0
49.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
49.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.623 * [backup-simplify]: Simplify 0 into 0
49.623 * [backup-simplify]: Simplify 0 into 0
49.623 * [backup-simplify]: Simplify 0 into 0
49.623 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
49.623 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
49.623 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
49.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
49.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
49.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
49.624 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.624 * [taylor]: Taking taylor expansion of im in im
49.624 * [backup-simplify]: Simplify 0 into 0
49.624 * [backup-simplify]: Simplify 1 into 1
49.628 * [backup-simplify]: Simplify (* 1 1) into 1
49.629 * [backup-simplify]: Simplify (/ 1 1) into 1
49.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
49.629 * [taylor]: Taking taylor expansion of (pow re 2) in im
49.629 * [taylor]: Taking taylor expansion of re in im
49.629 * [backup-simplify]: Simplify re into re
49.629 * [backup-simplify]: Simplify (* re re) into (pow re 2)
49.629 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
49.630 * [backup-simplify]: Simplify (+ 1 0) into 1
49.630 * [backup-simplify]: Simplify (sqrt 1) into 1
49.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.632 * [backup-simplify]: Simplify (+ 0 0) into 0
49.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.637 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.637 * [taylor]: Taking taylor expansion of im in re
49.637 * [backup-simplify]: Simplify im into im
49.637 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.638 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.638 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.638 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.638 * [taylor]: Taking taylor expansion of re in re
49.638 * [backup-simplify]: Simplify 0 into 0
49.638 * [backup-simplify]: Simplify 1 into 1
49.638 * [backup-simplify]: Simplify (* 1 1) into 1
49.639 * [backup-simplify]: Simplify (/ 1 1) into 1
49.639 * [backup-simplify]: Simplify (+ 0 1) into 1
49.639 * [backup-simplify]: Simplify (sqrt 1) into 1
49.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.646 * [backup-simplify]: Simplify (+ 0 0) into 0
49.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.646 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.646 * [taylor]: Taking taylor expansion of im in re
49.647 * [backup-simplify]: Simplify im into im
49.647 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.647 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.647 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.647 * [taylor]: Taking taylor expansion of re in re
49.647 * [backup-simplify]: Simplify 0 into 0
49.647 * [backup-simplify]: Simplify 1 into 1
49.647 * [backup-simplify]: Simplify (* 1 1) into 1
49.648 * [backup-simplify]: Simplify (/ 1 1) into 1
49.653 * [backup-simplify]: Simplify (+ 0 1) into 1
49.653 * [backup-simplify]: Simplify (sqrt 1) into 1
49.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.655 * [backup-simplify]: Simplify (+ 0 0) into 0
49.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.656 * [taylor]: Taking taylor expansion of 1 in im
49.656 * [backup-simplify]: Simplify 1 into 1
49.656 * [taylor]: Taking taylor expansion of 0 in im
49.656 * [backup-simplify]: Simplify 0 into 0
49.660 * [backup-simplify]: Simplify 1 into 1
49.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
49.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.662 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
49.664 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
49.664 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
49.664 * [taylor]: Taking taylor expansion of 1/2 in im
49.668 * [backup-simplify]: Simplify 1/2 into 1/2
49.668 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.668 * [taylor]: Taking taylor expansion of im in im
49.668 * [backup-simplify]: Simplify 0 into 0
49.668 * [backup-simplify]: Simplify 1 into 1
49.669 * [backup-simplify]: Simplify (* 1 1) into 1
49.669 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
49.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
49.671 * [backup-simplify]: Simplify 0 into 0
49.671 * [backup-simplify]: Simplify 0 into 0
49.671 * [backup-simplify]: Simplify 0 into 0
49.671 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
49.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
49.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.678 * [backup-simplify]: Simplify (+ 0 0) into 0
49.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
49.679 * [taylor]: Taking taylor expansion of 0 in im
49.679 * [backup-simplify]: Simplify 0 into 0
49.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
49.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.772 * [backup-simplify]: Simplify 0 into 0
49.772 * [backup-simplify]: Simplify 0 into 0
49.772 * [backup-simplify]: Simplify 0 into 0
49.772 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
49.773 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1)
49.773 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
49.773 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
49.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
49.773 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
49.773 * [taylor]: Taking taylor expansion of (pow re 2) in im
49.773 * [taylor]: Taking taylor expansion of re in im
49.773 * [backup-simplify]: Simplify re into re
49.774 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.774 * [taylor]: Taking taylor expansion of im in im
49.774 * [backup-simplify]: Simplify 0 into 0
49.774 * [backup-simplify]: Simplify 1 into 1
49.774 * [backup-simplify]: Simplify (* re re) into (pow re 2)
49.775 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
49.775 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
49.775 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
49.803 * [backup-simplify]: Simplify (+ 0 0) into 0
49.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
49.803 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
49.803 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
49.803 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.803 * [taylor]: Taking taylor expansion of re in re
49.803 * [backup-simplify]: Simplify 0 into 0
49.803 * [backup-simplify]: Simplify 1 into 1
49.803 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.803 * [taylor]: Taking taylor expansion of im in re
49.803 * [backup-simplify]: Simplify im into im
49.803 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.804 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
49.804 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
49.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.804 * [backup-simplify]: Simplify (+ 0 0) into 0
49.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
49.805 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
49.805 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
49.805 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.805 * [taylor]: Taking taylor expansion of re in re
49.805 * [backup-simplify]: Simplify 0 into 0
49.805 * [backup-simplify]: Simplify 1 into 1
49.805 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.805 * [taylor]: Taking taylor expansion of im in re
49.805 * [backup-simplify]: Simplify im into im
49.805 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.805 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
49.805 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
49.805 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.806 * [backup-simplify]: Simplify (+ 0 0) into 0
49.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
49.806 * [taylor]: Taking taylor expansion of im in im
49.806 * [backup-simplify]: Simplify 0 into 0
49.806 * [backup-simplify]: Simplify 1 into 1
49.806 * [backup-simplify]: Simplify 0 into 0
49.806 * [taylor]: Taking taylor expansion of 0 in im
49.806 * [backup-simplify]: Simplify 0 into 0
49.806 * [backup-simplify]: Simplify 0 into 0
49.806 * [backup-simplify]: Simplify 1 into 1
49.809 * [backup-simplify]: Simplify (* 1 1) into 1
49.809 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
49.810 * [backup-simplify]: Simplify (+ 1 0) into 1
49.810 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
49.810 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
49.810 * [taylor]: Taking taylor expansion of 1/2 in im
49.811 * [backup-simplify]: Simplify 1/2 into 1/2
49.811 * [taylor]: Taking taylor expansion of im in im
49.811 * [backup-simplify]: Simplify 0 into 0
49.811 * [backup-simplify]: Simplify 1 into 1
49.811 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
49.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
49.812 * [backup-simplify]: Simplify 0 into 0
49.812 * [backup-simplify]: Simplify 0 into 0
49.812 * [backup-simplify]: Simplify 0 into 0
49.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.814 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
49.814 * [backup-simplify]: Simplify (+ 0 0) into 0
49.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
49.814 * [taylor]: Taking taylor expansion of 0 in im
49.814 * [backup-simplify]: Simplify 0 into 0
49.814 * [backup-simplify]: Simplify 0 into 0
49.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.816 * [backup-simplify]: Simplify 0 into 0
49.816 * [backup-simplify]: Simplify 0 into 0
49.816 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
49.822 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
49.822 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
49.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
49.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
49.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
49.823 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.823 * [taylor]: Taking taylor expansion of im in im
49.823 * [backup-simplify]: Simplify 0 into 0
49.823 * [backup-simplify]: Simplify 1 into 1
49.823 * [backup-simplify]: Simplify (* 1 1) into 1
49.824 * [backup-simplify]: Simplify (/ 1 1) into 1
49.824 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
49.824 * [taylor]: Taking taylor expansion of (pow re 2) in im
49.824 * [taylor]: Taking taylor expansion of re in im
49.824 * [backup-simplify]: Simplify re into re
49.824 * [backup-simplify]: Simplify (* re re) into (pow re 2)
49.824 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
49.824 * [backup-simplify]: Simplify (+ 1 0) into 1
49.825 * [backup-simplify]: Simplify (sqrt 1) into 1
49.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.827 * [backup-simplify]: Simplify (+ 0 0) into 0
49.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.827 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.827 * [taylor]: Taking taylor expansion of im in re
49.827 * [backup-simplify]: Simplify im into im
49.828 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.828 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.828 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.828 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.828 * [taylor]: Taking taylor expansion of re in re
49.828 * [backup-simplify]: Simplify 0 into 0
49.828 * [backup-simplify]: Simplify 1 into 1
49.828 * [backup-simplify]: Simplify (* 1 1) into 1
49.829 * [backup-simplify]: Simplify (/ 1 1) into 1
49.829 * [backup-simplify]: Simplify (+ 0 1) into 1
49.829 * [backup-simplify]: Simplify (sqrt 1) into 1
49.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.831 * [backup-simplify]: Simplify (+ 0 0) into 0
49.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.832 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.832 * [taylor]: Taking taylor expansion of im in re
49.832 * [backup-simplify]: Simplify im into im
49.832 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.832 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.832 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.832 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.832 * [taylor]: Taking taylor expansion of re in re
49.832 * [backup-simplify]: Simplify 0 into 0
49.832 * [backup-simplify]: Simplify 1 into 1
49.833 * [backup-simplify]: Simplify (* 1 1) into 1
49.833 * [backup-simplify]: Simplify (/ 1 1) into 1
49.833 * [backup-simplify]: Simplify (+ 0 1) into 1
49.834 * [backup-simplify]: Simplify (sqrt 1) into 1
49.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.835 * [backup-simplify]: Simplify (+ 0 0) into 0
49.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.835 * [taylor]: Taking taylor expansion of 1 in im
49.835 * [backup-simplify]: Simplify 1 into 1
49.835 * [taylor]: Taking taylor expansion of 0 in im
49.835 * [backup-simplify]: Simplify 0 into 0
49.835 * [backup-simplify]: Simplify 1 into 1
49.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
49.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.837 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
49.838 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
49.838 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
49.838 * [taylor]: Taking taylor expansion of 1/2 in im
49.838 * [backup-simplify]: Simplify 1/2 into 1/2
49.838 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.838 * [taylor]: Taking taylor expansion of im in im
49.838 * [backup-simplify]: Simplify 0 into 0
49.838 * [backup-simplify]: Simplify 1 into 1
49.839 * [backup-simplify]: Simplify (* 1 1) into 1
49.839 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
49.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
49.840 * [backup-simplify]: Simplify 0 into 0
49.840 * [backup-simplify]: Simplify 0 into 0
49.840 * [backup-simplify]: Simplify 0 into 0
49.840 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
49.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
49.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.843 * [backup-simplify]: Simplify (+ 0 0) into 0
49.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
49.844 * [taylor]: Taking taylor expansion of 0 in im
49.844 * [backup-simplify]: Simplify 0 into 0
49.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
49.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.846 * [backup-simplify]: Simplify 0 into 0
49.846 * [backup-simplify]: Simplify 0 into 0
49.846 * [backup-simplify]: Simplify 0 into 0
49.846 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
49.847 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
49.847 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
49.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
49.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
49.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
49.847 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.847 * [taylor]: Taking taylor expansion of im in im
49.847 * [backup-simplify]: Simplify 0 into 0
49.847 * [backup-simplify]: Simplify 1 into 1
49.847 * [backup-simplify]: Simplify (* 1 1) into 1
49.848 * [backup-simplify]: Simplify (/ 1 1) into 1
49.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
49.848 * [taylor]: Taking taylor expansion of (pow re 2) in im
49.848 * [taylor]: Taking taylor expansion of re in im
49.848 * [backup-simplify]: Simplify re into re
49.848 * [backup-simplify]: Simplify (* re re) into (pow re 2)
49.848 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
49.849 * [backup-simplify]: Simplify (+ 1 0) into 1
49.849 * [backup-simplify]: Simplify (sqrt 1) into 1
49.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.851 * [backup-simplify]: Simplify (+ 0 0) into 0
49.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.851 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.851 * [taylor]: Taking taylor expansion of im in re
49.852 * [backup-simplify]: Simplify im into im
49.852 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.852 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.852 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.852 * [taylor]: Taking taylor expansion of re in re
49.852 * [backup-simplify]: Simplify 0 into 0
49.852 * [backup-simplify]: Simplify 1 into 1
49.852 * [backup-simplify]: Simplify (* 1 1) into 1
49.853 * [backup-simplify]: Simplify (/ 1 1) into 1
49.853 * [backup-simplify]: Simplify (+ 0 1) into 1
49.854 * [backup-simplify]: Simplify (sqrt 1) into 1
49.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.855 * [backup-simplify]: Simplify (+ 0 0) into 0
49.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.856 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.856 * [taylor]: Taking taylor expansion of im in re
49.857 * [backup-simplify]: Simplify im into im
49.857 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.857 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.857 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.857 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.857 * [taylor]: Taking taylor expansion of re in re
49.857 * [backup-simplify]: Simplify 0 into 0
49.857 * [backup-simplify]: Simplify 1 into 1
49.857 * [backup-simplify]: Simplify (* 1 1) into 1
49.862 * [backup-simplify]: Simplify (/ 1 1) into 1
49.863 * [backup-simplify]: Simplify (+ 0 1) into 1
49.863 * [backup-simplify]: Simplify (sqrt 1) into 1
49.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.865 * [backup-simplify]: Simplify (+ 0 0) into 0
49.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.866 * [taylor]: Taking taylor expansion of 1 in im
49.866 * [backup-simplify]: Simplify 1 into 1
49.866 * [taylor]: Taking taylor expansion of 0 in im
49.866 * [backup-simplify]: Simplify 0 into 0
49.866 * [backup-simplify]: Simplify 1 into 1
49.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
49.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.868 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
49.870 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
49.870 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
49.870 * [taylor]: Taking taylor expansion of 1/2 in im
49.870 * [backup-simplify]: Simplify 1/2 into 1/2
49.870 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.870 * [taylor]: Taking taylor expansion of im in im
49.870 * [backup-simplify]: Simplify 0 into 0
49.870 * [backup-simplify]: Simplify 1 into 1
49.870 * [backup-simplify]: Simplify (* 1 1) into 1
49.871 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
49.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
49.873 * [backup-simplify]: Simplify 0 into 0
49.873 * [backup-simplify]: Simplify 0 into 0
49.873 * [backup-simplify]: Simplify 0 into 0
49.873 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
49.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
49.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.876 * [backup-simplify]: Simplify (+ 0 0) into 0
49.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
49.877 * [taylor]: Taking taylor expansion of 0 in im
49.877 * [backup-simplify]: Simplify 0 into 0
49.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
49.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.879 * [backup-simplify]: Simplify 0 into 0
49.879 * [backup-simplify]: Simplify 0 into 0
49.880 * [backup-simplify]: Simplify 0 into 0
49.880 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
49.880 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1)
49.889 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
49.889 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
49.889 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
49.889 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
49.889 * [taylor]: Taking taylor expansion of (pow re 2) in im
49.889 * [taylor]: Taking taylor expansion of re in im
49.889 * [backup-simplify]: Simplify re into re
49.889 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.889 * [taylor]: Taking taylor expansion of im in im
49.889 * [backup-simplify]: Simplify 0 into 0
49.889 * [backup-simplify]: Simplify 1 into 1
49.889 * [backup-simplify]: Simplify (* re re) into (pow re 2)
49.889 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
49.890 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
49.890 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
49.890 * [backup-simplify]: Simplify (+ 0 0) into 0
49.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
49.891 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
49.891 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
49.891 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.891 * [taylor]: Taking taylor expansion of re in re
49.891 * [backup-simplify]: Simplify 0 into 0
49.891 * [backup-simplify]: Simplify 1 into 1
49.891 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.891 * [taylor]: Taking taylor expansion of im in re
49.891 * [backup-simplify]: Simplify im into im
49.891 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.891 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
49.891 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
49.891 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.902 * [backup-simplify]: Simplify (+ 0 0) into 0
49.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
49.902 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
49.902 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
49.902 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.902 * [taylor]: Taking taylor expansion of re in re
49.902 * [backup-simplify]: Simplify 0 into 0
49.902 * [backup-simplify]: Simplify 1 into 1
49.902 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.902 * [taylor]: Taking taylor expansion of im in re
49.902 * [backup-simplify]: Simplify im into im
49.902 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.903 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
49.903 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
49.903 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.903 * [backup-simplify]: Simplify (+ 0 0) into 0
49.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
49.904 * [taylor]: Taking taylor expansion of im in im
49.904 * [backup-simplify]: Simplify 0 into 0
49.904 * [backup-simplify]: Simplify 1 into 1
49.904 * [backup-simplify]: Simplify 0 into 0
49.904 * [taylor]: Taking taylor expansion of 0 in im
49.904 * [backup-simplify]: Simplify 0 into 0
49.904 * [backup-simplify]: Simplify 0 into 0
49.904 * [backup-simplify]: Simplify 1 into 1
49.904 * [backup-simplify]: Simplify (* 1 1) into 1
49.905 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
49.905 * [backup-simplify]: Simplify (+ 1 0) into 1
49.906 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
49.906 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
49.906 * [taylor]: Taking taylor expansion of 1/2 in im
49.906 * [backup-simplify]: Simplify 1/2 into 1/2
49.906 * [taylor]: Taking taylor expansion of im in im
49.906 * [backup-simplify]: Simplify 0 into 0
49.906 * [backup-simplify]: Simplify 1 into 1
49.907 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
49.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
49.917 * [backup-simplify]: Simplify 0 into 0
49.917 * [backup-simplify]: Simplify 0 into 0
49.917 * [backup-simplify]: Simplify 0 into 0
49.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.922 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
49.922 * [backup-simplify]: Simplify (+ 0 0) into 0
49.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
49.922 * [taylor]: Taking taylor expansion of 0 in im
49.922 * [backup-simplify]: Simplify 0 into 0
49.922 * [backup-simplify]: Simplify 0 into 0
49.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.930 * [backup-simplify]: Simplify 0 into 0
49.930 * [backup-simplify]: Simplify 0 into 0
49.930 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
49.930 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
49.930 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
49.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
49.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
49.931 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
49.931 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.931 * [taylor]: Taking taylor expansion of im in im
49.931 * [backup-simplify]: Simplify 0 into 0
49.931 * [backup-simplify]: Simplify 1 into 1
49.931 * [backup-simplify]: Simplify (* 1 1) into 1
49.932 * [backup-simplify]: Simplify (/ 1 1) into 1
49.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
49.932 * [taylor]: Taking taylor expansion of (pow re 2) in im
49.932 * [taylor]: Taking taylor expansion of re in im
49.932 * [backup-simplify]: Simplify re into re
49.932 * [backup-simplify]: Simplify (* re re) into (pow re 2)
49.932 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
49.933 * [backup-simplify]: Simplify (+ 1 0) into 1
49.933 * [backup-simplify]: Simplify (sqrt 1) into 1
49.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.936 * [backup-simplify]: Simplify (+ 0 0) into 0
49.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.937 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.937 * [taylor]: Taking taylor expansion of im in re
49.937 * [backup-simplify]: Simplify im into im
49.938 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.938 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.938 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.938 * [taylor]: Taking taylor expansion of re in re
49.938 * [backup-simplify]: Simplify 0 into 0
49.938 * [backup-simplify]: Simplify 1 into 1
49.939 * [backup-simplify]: Simplify (* 1 1) into 1
49.940 * [backup-simplify]: Simplify (/ 1 1) into 1
49.941 * [backup-simplify]: Simplify (+ 0 1) into 1
49.941 * [backup-simplify]: Simplify (sqrt 1) into 1
49.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.943 * [backup-simplify]: Simplify (+ 0 0) into 0
49.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.946 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.946 * [taylor]: Taking taylor expansion of im in re
49.946 * [backup-simplify]: Simplify im into im
49.946 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.946 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.946 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.946 * [taylor]: Taking taylor expansion of re in re
49.947 * [backup-simplify]: Simplify 0 into 0
49.947 * [backup-simplify]: Simplify 1 into 1
49.947 * [backup-simplify]: Simplify (* 1 1) into 1
49.947 * [backup-simplify]: Simplify (/ 1 1) into 1
49.948 * [backup-simplify]: Simplify (+ 0 1) into 1
49.948 * [backup-simplify]: Simplify (sqrt 1) into 1
49.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.951 * [backup-simplify]: Simplify (+ 0 0) into 0
49.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.952 * [taylor]: Taking taylor expansion of 1 in im
49.952 * [backup-simplify]: Simplify 1 into 1
49.952 * [taylor]: Taking taylor expansion of 0 in im
49.952 * [backup-simplify]: Simplify 0 into 0
49.952 * [backup-simplify]: Simplify 1 into 1
49.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
49.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.955 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
49.957 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
49.957 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
49.957 * [taylor]: Taking taylor expansion of 1/2 in im
49.957 * [backup-simplify]: Simplify 1/2 into 1/2
49.957 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.957 * [taylor]: Taking taylor expansion of im in im
49.957 * [backup-simplify]: Simplify 0 into 0
49.957 * [backup-simplify]: Simplify 1 into 1
49.958 * [backup-simplify]: Simplify (* 1 1) into 1
49.958 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
49.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
49.960 * [backup-simplify]: Simplify 0 into 0
49.963 * [backup-simplify]: Simplify 0 into 0
49.963 * [backup-simplify]: Simplify 0 into 0
49.963 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
49.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
49.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.966 * [backup-simplify]: Simplify (+ 0 0) into 0
49.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
49.967 * [taylor]: Taking taylor expansion of 0 in im
49.967 * [backup-simplify]: Simplify 0 into 0
49.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
49.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.973 * [backup-simplify]: Simplify 0 into 0
49.973 * [backup-simplify]: Simplify 0 into 0
49.973 * [backup-simplify]: Simplify 0 into 0
49.973 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
49.973 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
49.974 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
49.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
49.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
49.974 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
49.974 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.974 * [taylor]: Taking taylor expansion of im in im
49.974 * [backup-simplify]: Simplify 0 into 0
49.974 * [backup-simplify]: Simplify 1 into 1
49.974 * [backup-simplify]: Simplify (* 1 1) into 1
49.975 * [backup-simplify]: Simplify (/ 1 1) into 1
49.975 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
49.975 * [taylor]: Taking taylor expansion of (pow re 2) in im
49.975 * [taylor]: Taking taylor expansion of re in im
49.975 * [backup-simplify]: Simplify re into re
49.975 * [backup-simplify]: Simplify (* re re) into (pow re 2)
49.975 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
49.976 * [backup-simplify]: Simplify (+ 1 0) into 1
49.976 * [backup-simplify]: Simplify (sqrt 1) into 1
49.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.978 * [backup-simplify]: Simplify (+ 0 0) into 0
49.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.979 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.979 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.979 * [taylor]: Taking taylor expansion of im in re
49.979 * [backup-simplify]: Simplify im into im
49.979 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.979 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.979 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.979 * [taylor]: Taking taylor expansion of re in re
49.979 * [backup-simplify]: Simplify 0 into 0
49.979 * [backup-simplify]: Simplify 1 into 1
49.980 * [backup-simplify]: Simplify (* 1 1) into 1
49.981 * [backup-simplify]: Simplify (/ 1 1) into 1
49.981 * [backup-simplify]: Simplify (+ 0 1) into 1
49.982 * [backup-simplify]: Simplify (sqrt 1) into 1
49.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.984 * [backup-simplify]: Simplify (+ 0 0) into 0
49.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
49.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
49.985 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
49.985 * [taylor]: Taking taylor expansion of (pow im 2) in re
49.985 * [taylor]: Taking taylor expansion of im in re
49.985 * [backup-simplify]: Simplify im into im
49.985 * [backup-simplify]: Simplify (* im im) into (pow im 2)
49.985 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
49.985 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
49.985 * [taylor]: Taking taylor expansion of (pow re 2) in re
49.985 * [taylor]: Taking taylor expansion of re in re
49.985 * [backup-simplify]: Simplify 0 into 0
49.985 * [backup-simplify]: Simplify 1 into 1
49.986 * [backup-simplify]: Simplify (* 1 1) into 1
49.986 * [backup-simplify]: Simplify (/ 1 1) into 1
49.988 * [backup-simplify]: Simplify (+ 0 1) into 1
49.989 * [backup-simplify]: Simplify (sqrt 1) into 1
49.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
49.991 * [backup-simplify]: Simplify (+ 0 0) into 0
49.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
49.992 * [taylor]: Taking taylor expansion of 1 in im
49.992 * [backup-simplify]: Simplify 1 into 1
49.992 * [taylor]: Taking taylor expansion of 0 in im
49.992 * [backup-simplify]: Simplify 0 into 0
49.992 * [backup-simplify]: Simplify 1 into 1
49.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
49.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.994 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
49.996 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
49.996 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
49.996 * [taylor]: Taking taylor expansion of 1/2 in im
49.996 * [backup-simplify]: Simplify 1/2 into 1/2
49.996 * [taylor]: Taking taylor expansion of (pow im 2) in im
49.996 * [taylor]: Taking taylor expansion of im in im
49.996 * [backup-simplify]: Simplify 0 into 0
49.996 * [backup-simplify]: Simplify 1 into 1
49.996 * [backup-simplify]: Simplify (* 1 1) into 1
49.997 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
49.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
49.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
49.999 * [backup-simplify]: Simplify 0 into 0
49.999 * [backup-simplify]: Simplify 0 into 0
49.999 * [backup-simplify]: Simplify 0 into 0
49.999 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
49.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
50.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
50.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.002 * [backup-simplify]: Simplify (+ 0 0) into 0
50.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
50.003 * [taylor]: Taking taylor expansion of 0 in im
50.003 * [backup-simplify]: Simplify 0 into 0
50.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
50.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.037 * [backup-simplify]: Simplify 0 into 0
50.037 * [backup-simplify]: Simplify 0 into 0
50.037 * [backup-simplify]: Simplify 0 into 0
50.037 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
50.037 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
50.038 * [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 re 2) (pow im 2))) re)
50.038 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
50.038 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
50.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
50.038 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
50.038 * [taylor]: Taking taylor expansion of (pow re 2) in im
50.038 * [taylor]: Taking taylor expansion of re in im
50.038 * [backup-simplify]: Simplify re into re
50.038 * [taylor]: Taking taylor expansion of (pow im 2) in im
50.038 * [taylor]: Taking taylor expansion of im in im
50.038 * [backup-simplify]: Simplify 0 into 0
50.038 * [backup-simplify]: Simplify 1 into 1
50.038 * [backup-simplify]: Simplify (* re re) into (pow re 2)
50.039 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
50.039 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
50.039 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
50.040 * [backup-simplify]: Simplify (+ 0 0) into 0
50.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
50.044 * [taylor]: Taking taylor expansion of re in im
50.044 * [backup-simplify]: Simplify re into re
50.044 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
50.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
50.045 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
50.045 * [taylor]: Taking taylor expansion of (pow re 2) in re
50.045 * [taylor]: Taking taylor expansion of re in re
50.045 * [backup-simplify]: Simplify 0 into 0
50.045 * [backup-simplify]: Simplify 1 into 1
50.045 * [taylor]: Taking taylor expansion of (pow im 2) in re
50.045 * [taylor]: Taking taylor expansion of im in re
50.045 * [backup-simplify]: Simplify im into im
50.045 * [backup-simplify]: Simplify (* im im) into (pow im 2)
50.045 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
50.045 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
50.045 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
50.046 * [backup-simplify]: Simplify (+ 0 0) into 0
50.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
50.046 * [taylor]: Taking taylor expansion of re in re
50.047 * [backup-simplify]: Simplify 0 into 0
50.047 * [backup-simplify]: Simplify 1 into 1
50.047 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
50.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
50.047 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
50.047 * [taylor]: Taking taylor expansion of (pow re 2) in re
50.047 * [taylor]: Taking taylor expansion of re in re
50.047 * [backup-simplify]: Simplify 0 into 0
50.047 * [backup-simplify]: Simplify 1 into 1
50.047 * [taylor]: Taking taylor expansion of (pow im 2) in re
50.047 * [taylor]: Taking taylor expansion of im in re
50.047 * [backup-simplify]: Simplify im into im
50.047 * [backup-simplify]: Simplify (* im im) into (pow im 2)
50.047 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
50.047 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
50.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
50.053 * [backup-simplify]: Simplify (+ 0 0) into 0
50.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
50.053 * [taylor]: Taking taylor expansion of re in re
50.053 * [backup-simplify]: Simplify 0 into 0
50.053 * [backup-simplify]: Simplify 1 into 1
50.053 * [backup-simplify]: Simplify (- 0) into 0
50.054 * [backup-simplify]: Simplify (+ im 0) into im
50.054 * [taylor]: Taking taylor expansion of im in im
50.054 * [backup-simplify]: Simplify 0 into 0
50.054 * [backup-simplify]: Simplify 1 into 1
50.054 * [backup-simplify]: Simplify 0 into 0
50.054 * [backup-simplify]: Simplify (- 1) into -1
50.054 * [backup-simplify]: Simplify (+ 0 -1) into -1
50.054 * [taylor]: Taking taylor expansion of -1 in im
50.054 * [backup-simplify]: Simplify -1 into -1
50.054 * [backup-simplify]: Simplify -1 into -1
50.054 * [backup-simplify]: Simplify 1 into 1
50.055 * [backup-simplify]: Simplify (* 1 1) into 1
50.055 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
50.056 * [backup-simplify]: Simplify (+ 1 0) into 1
50.061 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
50.068 * [backup-simplify]: Simplify (- 0) into 0
50.068 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
50.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
50.068 * [taylor]: Taking taylor expansion of 1/2 in im
50.068 * [backup-simplify]: Simplify 1/2 into 1/2
50.068 * [taylor]: Taking taylor expansion of (/ 1 im) in im
50.068 * [taylor]: Taking taylor expansion of im in im
50.068 * [backup-simplify]: Simplify 0 into 0
50.068 * [backup-simplify]: Simplify 1 into 1
50.069 * [backup-simplify]: Simplify (/ 1 1) into 1
50.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
50.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
50.071 * [backup-simplify]: Simplify 0 into 0
50.071 * [backup-simplify]: Simplify 0 into 0
50.071 * [backup-simplify]: Simplify 0 into 0
50.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
50.073 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
50.073 * [backup-simplify]: Simplify (+ 0 0) into 0
50.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
50.074 * [backup-simplify]: Simplify (- 0) into 0
50.074 * [backup-simplify]: Simplify (+ 0 0) into 0
50.074 * [taylor]: Taking taylor expansion of 0 in im
50.074 * [backup-simplify]: Simplify 0 into 0
50.075 * [backup-simplify]: Simplify 0 into 0
50.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
50.081 * [backup-simplify]: Simplify 0 into 0
50.081 * [backup-simplify]: Simplify 0 into 0
50.081 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
50.082 * [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 im 2)) (/ 1 (pow re 2)))) (/ 1 re))
50.082 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
50.082 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
50.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
50.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
50.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
50.082 * [taylor]: Taking taylor expansion of (pow im 2) in im
50.083 * [taylor]: Taking taylor expansion of im in im
50.083 * [backup-simplify]: Simplify 0 into 0
50.083 * [backup-simplify]: Simplify 1 into 1
50.083 * [backup-simplify]: Simplify (* 1 1) into 1
50.083 * [backup-simplify]: Simplify (/ 1 1) into 1
50.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
50.084 * [taylor]: Taking taylor expansion of (pow re 2) in im
50.084 * [taylor]: Taking taylor expansion of re in im
50.084 * [backup-simplify]: Simplify re into re
50.084 * [backup-simplify]: Simplify (* re re) into (pow re 2)
50.084 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
50.089 * [backup-simplify]: Simplify (+ 1 0) into 1
50.089 * [backup-simplify]: Simplify (sqrt 1) into 1
50.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
50.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
50.091 * [backup-simplify]: Simplify (+ 0 0) into 0
50.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
50.214 * [taylor]: Taking taylor expansion of (/ 1 re) in im
50.214 * [taylor]: Taking taylor expansion of re in im
50.215 * [backup-simplify]: Simplify re into re
50.215 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
50.215 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
50.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
50.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
50.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
50.215 * [taylor]: Taking taylor expansion of (pow im 2) in re
50.215 * [taylor]: Taking taylor expansion of im in re
50.215 * [backup-simplify]: Simplify im into im
50.215 * [backup-simplify]: Simplify (* im im) into (pow im 2)
50.215 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
50.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
50.215 * [taylor]: Taking taylor expansion of (pow re 2) in re
50.215 * [taylor]: Taking taylor expansion of re in re
50.215 * [backup-simplify]: Simplify 0 into 0
50.215 * [backup-simplify]: Simplify 1 into 1
50.237 * [backup-simplify]: Simplify (* 1 1) into 1
50.237 * [backup-simplify]: Simplify (/ 1 1) into 1
50.238 * [backup-simplify]: Simplify (+ 0 1) into 1
50.238 * [backup-simplify]: Simplify (sqrt 1) into 1
50.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
50.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
50.240 * [backup-simplify]: Simplify (+ 0 0) into 0
50.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
50.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re
50.252 * [taylor]: Taking taylor expansion of re in re
50.252 * [backup-simplify]: Simplify 0 into 0
50.252 * [backup-simplify]: Simplify 1 into 1
50.252 * [backup-simplify]: Simplify (/ 1 1) into 1
50.252 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
50.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
50.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
50.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
50.252 * [taylor]: Taking taylor expansion of (pow im 2) in re
50.252 * [taylor]: Taking taylor expansion of im in re
50.252 * [backup-simplify]: Simplify im into im
50.252 * [backup-simplify]: Simplify (* im im) into (pow im 2)
50.253 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
50.253 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
50.253 * [taylor]: Taking taylor expansion of (pow re 2) in re
50.253 * [taylor]: Taking taylor expansion of re in re
50.253 * [backup-simplify]: Simplify 0 into 0
50.253 * [backup-simplify]: Simplify 1 into 1
50.253 * [backup-simplify]: Simplify (* 1 1) into 1
50.254 * [backup-simplify]: Simplify (/ 1 1) into 1
50.254 * [backup-simplify]: Simplify (+ 0 1) into 1
50.254 * [backup-simplify]: Simplify (sqrt 1) into 1
50.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
50.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
50.279 * [backup-simplify]: Simplify (+ 0 0) into 0
50.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
50.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re
50.280 * [taylor]: Taking taylor expansion of re in re
50.280 * [backup-simplify]: Simplify 0 into 0
50.280 * [backup-simplify]: Simplify 1 into 1
50.280 * [backup-simplify]: Simplify (/ 1 1) into 1
50.291 * [backup-simplify]: Simplify (- 1) into -1
50.291 * [backup-simplify]: Simplify (+ 1 -1) into 0
50.291 * [taylor]: Taking taylor expansion of 0 in im
50.291 * [backup-simplify]: Simplify 0 into 0
50.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
50.292 * [backup-simplify]: Simplify (- 0) into 0
50.293 * [backup-simplify]: Simplify (+ 0 0) into 0
50.293 * [taylor]: Taking taylor expansion of 0 in im
50.293 * [backup-simplify]: Simplify 0 into 0
50.293 * [backup-simplify]: Simplify 0 into 0
50.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
50.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.295 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
50.305 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
50.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.306 * [backup-simplify]: Simplify (- 0) into 0
50.306 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
50.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
50.306 * [taylor]: Taking taylor expansion of 1/2 in im
50.306 * [backup-simplify]: Simplify 1/2 into 1/2
50.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
50.307 * [taylor]: Taking taylor expansion of (pow im 2) in im
50.307 * [taylor]: Taking taylor expansion of im in im
50.307 * [backup-simplify]: Simplify 0 into 0
50.307 * [backup-simplify]: Simplify 1 into 1
50.307 * [backup-simplify]: Simplify (* 1 1) into 1
50.307 * [backup-simplify]: Simplify (/ 1 1) into 1
50.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
50.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
50.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
50.314 * [backup-simplify]: Simplify 0 into 0
50.314 * [backup-simplify]: Simplify 0 into 0
50.314 * [backup-simplify]: Simplify 0 into 0
50.314 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
50.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
50.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
50.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.331 * [backup-simplify]: Simplify (+ 0 0) into 0
50.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
50.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.333 * [backup-simplify]: Simplify (- 0) into 0
50.333 * [backup-simplify]: Simplify (+ 0 0) into 0
50.333 * [taylor]: Taking taylor expansion of 0 in im
50.333 * [backup-simplify]: Simplify 0 into 0
50.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
50.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
50.337 * [backup-simplify]: Simplify 0 into 0
50.337 * [backup-simplify]: Simplify 0 into 0
50.337 * [backup-simplify]: Simplify 0 into 0
50.343 * [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 im 2)) (/ 1 (pow re 2)))))
50.343 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
50.343 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
50.343 * [taylor]: Taking taylor expansion of (/ 1 re) in im
50.343 * [taylor]: Taking taylor expansion of re in im
50.343 * [backup-simplify]: Simplify re into re
50.343 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
50.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
50.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
50.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
50.343 * [taylor]: Taking taylor expansion of (pow im 2) in im
50.343 * [taylor]: Taking taylor expansion of im in im
50.343 * [backup-simplify]: Simplify 0 into 0
50.343 * [backup-simplify]: Simplify 1 into 1
50.344 * [backup-simplify]: Simplify (* 1 1) into 1
50.344 * [backup-simplify]: Simplify (/ 1 1) into 1
50.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
50.345 * [taylor]: Taking taylor expansion of (pow re 2) in im
50.345 * [taylor]: Taking taylor expansion of re in im
50.345 * [backup-simplify]: Simplify re into re
50.345 * [backup-simplify]: Simplify (* re re) into (pow re 2)
50.345 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
50.345 * [backup-simplify]: Simplify (+ 1 0) into 1
50.346 * [backup-simplify]: Simplify (sqrt 1) into 1
50.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
50.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
50.348 * [backup-simplify]: Simplify (+ 0 0) into 0
50.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
50.368 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
50.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re
50.368 * [taylor]: Taking taylor expansion of re in re
50.368 * [backup-simplify]: Simplify 0 into 0
50.368 * [backup-simplify]: Simplify 1 into 1
50.368 * [backup-simplify]: Simplify (/ 1 1) into 1
50.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
50.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
50.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
50.368 * [taylor]: Taking taylor expansion of (pow im 2) in re
50.368 * [taylor]: Taking taylor expansion of im in re
50.368 * [backup-simplify]: Simplify im into im
50.369 * [backup-simplify]: Simplify (* im im) into (pow im 2)
50.369 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
50.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
50.369 * [taylor]: Taking taylor expansion of (pow re 2) in re
50.369 * [taylor]: Taking taylor expansion of re in re
50.369 * [backup-simplify]: Simplify 0 into 0
50.369 * [backup-simplify]: Simplify 1 into 1
50.369 * [backup-simplify]: Simplify (* 1 1) into 1
50.370 * [backup-simplify]: Simplify (/ 1 1) into 1
50.370 * [backup-simplify]: Simplify (+ 0 1) into 1
50.371 * [backup-simplify]: Simplify (sqrt 1) into 1
50.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
50.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
50.388 * [backup-simplify]: Simplify (+ 0 0) into 0
50.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
50.389 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
50.389 * [taylor]: Taking taylor expansion of (/ 1 re) in re
50.389 * [taylor]: Taking taylor expansion of re in re
50.389 * [backup-simplify]: Simplify 0 into 0
50.389 * [backup-simplify]: Simplify 1 into 1
50.389 * [backup-simplify]: Simplify (/ 1 1) into 1
50.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
50.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
50.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
50.390 * [taylor]: Taking taylor expansion of (pow im 2) in re
50.390 * [taylor]: Taking taylor expansion of im in re
50.390 * [backup-simplify]: Simplify im into im
50.390 * [backup-simplify]: Simplify (* im im) into (pow im 2)
50.390 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
50.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
50.390 * [taylor]: Taking taylor expansion of (pow re 2) in re
50.390 * [taylor]: Taking taylor expansion of re in re
50.390 * [backup-simplify]: Simplify 0 into 0
50.390 * [backup-simplify]: Simplify 1 into 1
50.391 * [backup-simplify]: Simplify (* 1 1) into 1
50.391 * [backup-simplify]: Simplify (/ 1 1) into 1
50.391 * [backup-simplify]: Simplify (+ 0 1) into 1
50.392 * [backup-simplify]: Simplify (sqrt 1) into 1
50.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
50.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
50.404 * [backup-simplify]: Simplify (+ 0 0) into 0
50.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
50.405 * [backup-simplify]: Simplify (+ 1 1) into 2
50.405 * [taylor]: Taking taylor expansion of 2 in im
50.405 * [backup-simplify]: Simplify 2 into 2
50.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
50.407 * [backup-simplify]: Simplify (+ 0 0) into 0
50.407 * [taylor]: Taking taylor expansion of 0 in im
50.407 * [backup-simplify]: Simplify 0 into 0
50.407 * [backup-simplify]: Simplify 2 into 2
50.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
50.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.414 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
50.415 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
50.415 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
50.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
50.415 * [taylor]: Taking taylor expansion of 1/2 in im
50.415 * [backup-simplify]: Simplify 1/2 into 1/2
50.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
50.416 * [taylor]: Taking taylor expansion of (pow im 2) in im
50.416 * [taylor]: Taking taylor expansion of im in im
50.416 * [backup-simplify]: Simplify 0 into 0
50.416 * [backup-simplify]: Simplify 1 into 1
50.437 * [backup-simplify]: Simplify (* 1 1) into 1
50.438 * [backup-simplify]: Simplify (/ 1 1) into 1
50.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
50.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
50.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
50.449 * [backup-simplify]: Simplify 0 into 0
50.449 * [backup-simplify]: Simplify 0 into 0
50.449 * [backup-simplify]: Simplify 0 into 0
50.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.450 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
50.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
50.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
50.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.469 * [backup-simplify]: Simplify (+ 0 0) into 0
50.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
50.470 * [backup-simplify]: Simplify (+ 0 0) into 0
50.470 * [taylor]: Taking taylor expansion of 0 in im
50.470 * [backup-simplify]: Simplify 0 into 0
50.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
50.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
50.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
50.475 * [backup-simplify]: Simplify 0 into 0
50.475 * [backup-simplify]: Simplify 0 into 0
50.475 * [backup-simplify]: Simplify 0 into 0
50.475 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
50.482 * * * [progress]: simplifying candidates
50.570 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (/ (exp (* (* (cbrt (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)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
50.572 * * [simplify]: iteration 0: 64 enodes
50.621 * * [simplify]: iteration 1: 150 enodes
50.960 * * [simplify]: iteration 2: 338 enodes
51.620 * * [simplify]: iteration 3: 839 enodes
54.892 * * [simplify]: iteration 4: 2483 enodes
61.283 * * [simplify]: iteration complete: 5000 enodes
61.290 * * [simplify]: Extracting #0: cost 31 inf + 0
61.291 * * [simplify]: Extracting #1: cost 253 inf + 46
61.327 * * [simplify]: Extracting #2: cost 772 inf + 1450
61.362 * * [simplify]: Extracting #3: cost 1216 inf + 31386
61.473 * * [simplify]: Extracting #4: cost 712 inf + 308229
61.651 * * [simplify]: Extracting #5: cost 142 inf + 593978
61.837 * * [simplify]: Extracting #6: cost 89 inf + 644343
62.162 * * [simplify]: Extracting #7: cost 20 inf + 660872
62.586 * * [simplify]: Extracting #8: cost 0 inf + 666572
62.814 * [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 (+ (* (* im (* im im)) (* im (* im im))) (* (* re (* re re)) (* re (* re re)))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (cbrt (+ (* 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 (+ (* (* im (* im im)) (* im (* im im))) (* (* re (* re re)) (* re (* re re)))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (cbrt (+ (* 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 (+ (* (* im (* im im)) (* im (* im im))) (* (* re (* re re)) (* re (* re re)))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (- (sqrt (+ (* re re) (* im im))) 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)))
  (+ (* (sqrt (+ (* re re) (* im im))) re) (+ (* re re) (+ (* re re) (* im im))))
  (- re)
  (* im im)
  (+ re (sqrt (+ (* re re) (* im im))))
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
62.845 * * * [progress]: adding candidates to table
63.848 * [progress]: [Phase 3 of 3] Extracting.
63.853 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<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)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ 0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>)
63.931 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
63.932 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<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)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ 0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>)
64.240 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<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)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ 0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>)
64.880 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<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)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ 0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>)
65.243 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<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)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ 0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>)
65.499 * * * [regime]: Found split indices: #<option (#s(si 5 41) #s(si 1 120) #s(si 0 157) #s(si 4 255))>
65.502 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<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)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ 0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>)
66.146 * [regimes]: Found splitpoints: (#s(sp 5 re -8.039547558546272e+104) #s(sp 1 re -3.240034389533804e-262) #s(sp 0 re 5.7124459548238595e-130) #s(sp 4 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<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)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ 0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>)
66.147 * [simplify]: Simplifying:
  (if (<= re -8.039547558546272e+104) (* 0.5 (sqrt (* 2.0 (* -2 re)))) (if (<= re -3.240034389533804e-262) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (if (<= re 5.7124459548238595e-130) (* 0.5 (sqrt (* 2.0 (- im re)))) (* 0.5 (/ (sqrt (* 2.0 (+ 0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))
66.148 * * [simplify]: iteration 0: 42 enodes
66.153 * * [simplify]: iteration 1: 57 enodes
66.157 * * [simplify]: iteration complete: 57 enodes
66.158 * * [simplify]: Extracting #0: cost 1 inf + 0
66.158 * * [simplify]: Extracting #1: cost 4 inf + 0
66.158 * * [simplify]: Extracting #2: cost 11 inf + 0
66.158 * * [simplify]: Extracting #3: cost 14 inf + 3
66.158 * * [simplify]: Extracting #4: cost 17 inf + 138
66.158 * * [simplify]: Extracting #5: cost 19 inf + 207
66.158 * * [simplify]: Extracting #6: cost 22 inf + 208
66.159 * * [simplify]: Extracting #7: cost 22 inf + 620
66.159 * * [simplify]: Extracting #8: cost 23 inf + 662
66.159 * * [simplify]: Extracting #9: cost 18 inf + 993
66.160 * * [simplify]: Extracting #10: cost 16 inf + 1157
66.160 * * [simplify]: Extracting #11: cost 12 inf + 1807
66.161 * * [simplify]: Extracting #12: cost 6 inf + 3955
66.162 * * [simplify]: Extracting #13: cost 5 inf + 4237
66.164 * * [simplify]: Extracting #14: cost 4 inf + 4560
66.165 * * [simplify]: Extracting #15: cost 2 inf + 5327
66.167 * * [simplify]: Extracting #16: cost 0 inf + 7751
66.169 * [simplify]: Simplified to:
  (if (<= re -8.039547558546272e+104) (* (sqrt (* (* -2 re) 2.0)) 0.5) (if (<= re -3.240034389533804e-262) (* 0.5 (sqrt (* (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) 2.0))) (if (<= re 5.7124459548238595e-130) (* 0.5 (sqrt (* 2.0 (- im re)))) (* (/ (sqrt (* (* im im) 2.0)) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 0.5))))
83.180 * [regime-testing]: Baseline error score: 39.14387690940194
83.192 * [regime-testing]: Oracle error score: 17.67455896590939
83.233 * [regime-testing]: End program error score: 26.993874885655632