0.643 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.130 * * * [progress]: [2/2] Setting up program. 0.137 * [progress]: [Phase 2 of 3] Improving. 0.140 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.141 * [simplify]: Sending expressions to egg_math: (* h2 (sqrt (* 2.0 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.225 * * [progress]: iteration 1 / 4 0.226 * * * [progress]: picking best candidate 0.235 * * * * [pick]: Picked # 0.235 * * * [progress]: localizing error 0.407 * * * [progress]: generating rewritten candidates 0.407 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.424 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.559 * * * [progress]: generating series expansions 0.559 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.570 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.571 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.572 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.572 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.572 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.572 * [taylor]: Taking taylor expansion of re in im 0.572 * [backup-simplify]: Simplify re into re 0.572 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.575 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.575 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.575 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.577 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.577 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.577 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.577 * [taylor]: Taking taylor expansion of re in re 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.577 * [taylor]: Taking taylor expansion of im in re 0.577 * [backup-simplify]: Simplify im into im 0.577 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.577 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.577 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.577 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.579 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.579 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.579 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.579 * [taylor]: Taking taylor expansion of re in re 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.579 * [taylor]: Taking taylor expansion of im in re 0.579 * [backup-simplify]: Simplify im into im 0.579 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.579 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.579 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.580 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.581 * [taylor]: Taking taylor expansion of im in im 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [taylor]: Taking taylor expansion of 0 in im 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (* 1 1) into 1 0.584 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.584 * [backup-simplify]: Simplify (+ 1 0) into 1 0.585 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.585 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.585 * [taylor]: Taking taylor expansion of 1/2 in im 0.585 * [backup-simplify]: Simplify 1/2 into 1/2 0.585 * [taylor]: Taking taylor expansion of im in im 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.590 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.591 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.591 * [taylor]: Taking taylor expansion of 0 in im 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.593 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.593 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.593 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.593 * [taylor]: Taking taylor expansion of im in im 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (* 1 1) into 1 0.594 * [backup-simplify]: Simplify (/ 1 1) into 1 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.594 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.595 * [taylor]: Taking taylor expansion of re in im 0.595 * [backup-simplify]: Simplify re into re 0.595 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.595 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.595 * [backup-simplify]: Simplify (+ 1 0) into 1 0.596 * [backup-simplify]: Simplify (sqrt 1) into 1 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.599 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.599 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.599 * [taylor]: Taking taylor expansion of im in re 0.599 * [backup-simplify]: Simplify im into im 0.599 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.599 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.599 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.599 * [taylor]: Taking taylor expansion of re in re 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (* 1 1) into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [backup-simplify]: Simplify (+ 0 1) into 1 0.601 * [backup-simplify]: Simplify (sqrt 1) into 1 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ 0 0) into 0 0.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.604 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.604 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.604 * [taylor]: Taking taylor expansion of im in re 0.604 * [backup-simplify]: Simplify im into im 0.604 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.604 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.604 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.604 * [taylor]: Taking taylor expansion of re in re 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (/ 1 1) into 1 0.606 * [backup-simplify]: Simplify (+ 0 1) into 1 0.606 * [backup-simplify]: Simplify (sqrt 1) into 1 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.609 * [taylor]: Taking taylor expansion of 1 in im 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [taylor]: Taking taylor expansion of 0 in im 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.644 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.644 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.645 * [taylor]: Taking taylor expansion of 1/2 in im 0.645 * [backup-simplify]: Simplify 1/2 into 1/2 0.645 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (* 1 1) into 1 0.646 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.651 * [taylor]: Taking taylor expansion of 0 in im 0.651 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.654 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.654 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.654 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.654 * [taylor]: Taking taylor expansion of im in im 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (* 1 1) into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.655 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.655 * [taylor]: Taking taylor expansion of re in im 0.655 * [backup-simplify]: Simplify re into re 0.655 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.655 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.656 * [backup-simplify]: Simplify (+ 1 0) into 1 0.656 * [backup-simplify]: Simplify (sqrt 1) into 1 0.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.659 * [taylor]: Taking taylor expansion of im in re 0.659 * [backup-simplify]: Simplify im into im 0.659 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.659 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.659 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (* 1 1) into 1 0.660 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [backup-simplify]: Simplify (+ 0 1) into 1 0.661 * [backup-simplify]: Simplify (sqrt 1) into 1 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.664 * [taylor]: Taking taylor expansion of im in re 0.664 * [backup-simplify]: Simplify im into im 0.664 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.664 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (* 1 1) into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [backup-simplify]: Simplify (+ 0 1) into 1 0.666 * [backup-simplify]: Simplify (sqrt 1) into 1 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.668 * [taylor]: Taking taylor expansion of 1 in im 0.668 * [backup-simplify]: Simplify 1 into 1 0.669 * [taylor]: Taking taylor expansion of 0 in im 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.673 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.673 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.673 * [taylor]: Taking taylor expansion of 1/2 in im 0.673 * [backup-simplify]: Simplify 1/2 into 1/2 0.673 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.673 * [taylor]: Taking taylor expansion of im in im 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (* 1 1) into 1 0.674 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.680 * [taylor]: Taking taylor expansion of 0 in im 0.680 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.686 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.686 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.686 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.686 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.686 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.686 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.686 * [taylor]: Taking taylor expansion of re in im 0.686 * [backup-simplify]: Simplify re into re 0.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.686 * [taylor]: Taking taylor expansion of im in im 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.687 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.687 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.687 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [backup-simplify]: Simplify re into re 0.688 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.688 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.688 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.688 * [taylor]: Taking taylor expansion of re in re 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.688 * [taylor]: Taking taylor expansion of im in re 0.688 * [backup-simplify]: Simplify im into im 0.688 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.688 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.688 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.689 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.689 * [taylor]: Taking taylor expansion of re in re 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.689 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.690 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.690 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.690 * [backup-simplify]: Simplify im into im 0.690 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.690 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.690 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.690 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.723 * [taylor]: Taking taylor expansion of re in re 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (- 0) into 0 0.724 * [backup-simplify]: Simplify (+ im 0) into im 0.724 * [taylor]: Taking taylor expansion of im in im 0.724 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify (- 1) into -1 0.726 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.726 * [taylor]: Taking taylor expansion of -1 in im 0.726 * [backup-simplify]: Simplify -1 into -1 0.726 * [backup-simplify]: Simplify -1 into -1 0.726 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (* 1 1) into 1 0.727 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.728 * [backup-simplify]: Simplify (+ 1 0) into 1 0.729 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.730 * [backup-simplify]: Simplify (- 0) into 0 0.730 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.730 * [taylor]: Taking taylor expansion of 1/2 in im 0.730 * [backup-simplify]: Simplify 1/2 into 1/2 0.730 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.730 * [taylor]: Taking taylor expansion of im in im 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.735 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.736 * [backup-simplify]: Simplify (- 0) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [taylor]: Taking taylor expansion of 0 in im 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.741 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.741 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.741 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.741 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.741 * [taylor]: Taking taylor expansion of im in im 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (* 1 1) into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.743 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.743 * [backup-simplify]: Simplify re into re 0.743 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.743 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.744 * [backup-simplify]: Simplify (+ 1 0) into 1 0.744 * [backup-simplify]: Simplify (sqrt 1) into 1 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.748 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.748 * [taylor]: Taking taylor expansion of re in im 0.748 * [backup-simplify]: Simplify re into re 0.748 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.748 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.748 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.748 * [backup-simplify]: Simplify im into im 0.749 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.749 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.749 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.749 * [taylor]: Taking taylor expansion of re in re 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (* 1 1) into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.751 * [backup-simplify]: Simplify (+ 0 1) into 1 0.751 * [backup-simplify]: Simplify (sqrt 1) into 1 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.754 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.754 * [taylor]: Taking taylor expansion of re in re 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (/ 1 1) into 1 0.755 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.755 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.755 * [backup-simplify]: Simplify im into im 0.755 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.755 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.755 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (* 1 1) into 1 0.756 * [backup-simplify]: Simplify (/ 1 1) into 1 0.757 * [backup-simplify]: Simplify (+ 0 1) into 1 0.757 * [backup-simplify]: Simplify (sqrt 1) into 1 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.760 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.760 * [taylor]: Taking taylor expansion of re in re 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [backup-simplify]: Simplify (- 1) into -1 0.761 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.761 * [taylor]: Taking taylor expansion of 0 in im 0.761 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (- 0) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [taylor]: Taking taylor expansion of 0 in im 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.767 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (- 0) into 0 0.768 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.768 * [taylor]: Taking taylor expansion of 1/2 in im 0.769 * [backup-simplify]: Simplify 1/2 into 1/2 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.769 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.769 * [taylor]: Taking taylor expansion of im in im 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (- 0) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [taylor]: Taking taylor expansion of 0 in im 0.778 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.782 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.782 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.782 * [taylor]: Taking taylor expansion of re in im 0.782 * [backup-simplify]: Simplify re into re 0.782 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.782 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.782 * [taylor]: Taking taylor expansion of im in im 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (* 1 1) into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.783 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.783 * [taylor]: Taking taylor expansion of re in im 0.783 * [backup-simplify]: Simplify re into re 0.783 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.784 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.786 * [backup-simplify]: Simplify (+ 1 0) into 1 0.786 * [backup-simplify]: Simplify (sqrt 1) into 1 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.789 * [taylor]: Taking taylor expansion of re in re 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.790 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.790 * [taylor]: Taking taylor expansion of im in re 0.790 * [backup-simplify]: Simplify im into im 0.790 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.790 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.790 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* 1 1) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [backup-simplify]: Simplify (+ 0 1) into 1 0.792 * [backup-simplify]: Simplify (sqrt 1) into 1 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.795 * [taylor]: Taking taylor expansion of re in re 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.795 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.795 * [taylor]: Taking taylor expansion of im in re 0.795 * [backup-simplify]: Simplify im into im 0.796 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.796 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.796 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [backup-simplify]: Simplify (+ 0 1) into 1 0.798 * [backup-simplify]: Simplify (sqrt 1) into 1 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.810 * [backup-simplify]: Simplify (+ 1 1) into 2 0.810 * [taylor]: Taking taylor expansion of 2 in im 0.810 * [backup-simplify]: Simplify 2 into 2 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [taylor]: Taking taylor expansion of 0 in im 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 2 into 2 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.814 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.814 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.814 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.814 * [taylor]: Taking taylor expansion of 1/2 in im 0.814 * [backup-simplify]: Simplify 1/2 into 1/2 0.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.814 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.814 * [taylor]: Taking taylor expansion of im in im 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (* 1 1) into 1 0.815 * [backup-simplify]: Simplify (/ 1 1) into 1 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.819 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [taylor]: Taking taylor expansion of 0 in im 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.822 * * * [progress]: simplifying candidates 0.823 * [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) im re (* -1 re) (- im re) 0 (* -2 re) 0.823 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) 2.280 * * * [progress]: adding candidates to table 2.454 * * [progress]: iteration 2 / 4 2.454 * * * [progress]: picking best candidate 2.484 * * * * [pick]: Picked # 2.484 * * * [progress]: localizing error 2.507 * * * [progress]: generating rewritten candidates 2.507 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.515 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.524 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.607 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 2.712 * * * [progress]: generating series expansions 2.712 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 2.712 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.712 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.712 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.712 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.712 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.712 * [taylor]: Taking taylor expansion of re in im 2.713 * [backup-simplify]: Simplify re into re 2.713 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.713 * [taylor]: Taking taylor expansion of im in im 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.713 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.713 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.713 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.714 * [backup-simplify]: Simplify (+ 0 0) into 0 2.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.714 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.714 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.714 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.714 * [taylor]: Taking taylor expansion of re in re 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.714 * [taylor]: Taking taylor expansion of im in re 2.714 * [backup-simplify]: Simplify im into im 2.714 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.714 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.715 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.715 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.715 * [backup-simplify]: Simplify (+ 0 0) into 0 2.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.715 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.715 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.715 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.715 * [taylor]: Taking taylor expansion of re in re 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.715 * [taylor]: Taking taylor expansion of im in re 2.715 * [backup-simplify]: Simplify im into im 2.715 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.716 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.716 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.716 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.716 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.716 * [taylor]: Taking taylor expansion of im in im 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 1 into 1 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [taylor]: Taking taylor expansion of 0 in im 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 1 into 1 2.717 * [backup-simplify]: Simplify (* 1 1) into 1 2.718 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.718 * [backup-simplify]: Simplify (+ 1 0) into 1 2.719 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.719 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.719 * [taylor]: Taking taylor expansion of 1/2 in im 2.719 * [backup-simplify]: Simplify 1/2 into 1/2 2.719 * [taylor]: Taking taylor expansion of im in im 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.722 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.722 * [backup-simplify]: Simplify (+ 0 0) into 0 2.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.722 * [taylor]: Taking taylor expansion of 0 in im 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.724 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.724 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.724 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.724 * [taylor]: Taking taylor expansion of im in im 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 1 into 1 2.724 * [backup-simplify]: Simplify (* 1 1) into 1 2.725 * [backup-simplify]: Simplify (/ 1 1) into 1 2.725 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.725 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.725 * [taylor]: Taking taylor expansion of re in im 2.725 * [backup-simplify]: Simplify re into re 2.725 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.725 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.725 * [backup-simplify]: Simplify (+ 1 0) into 1 2.726 * [backup-simplify]: Simplify (sqrt 1) into 1 2.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (+ 0 0) into 0 2.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.729 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.729 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.729 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.729 * [taylor]: Taking taylor expansion of im in re 2.729 * [backup-simplify]: Simplify im into im 2.729 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.729 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.729 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.729 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.729 * [taylor]: Taking taylor expansion of re in re 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.730 * [backup-simplify]: Simplify (* 1 1) into 1 2.730 * [backup-simplify]: Simplify (/ 1 1) into 1 2.730 * [backup-simplify]: Simplify (+ 0 1) into 1 2.731 * [backup-simplify]: Simplify (sqrt 1) into 1 2.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.732 * [backup-simplify]: Simplify (+ 0 0) into 0 2.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.733 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.733 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.733 * [taylor]: Taking taylor expansion of im in re 2.733 * [backup-simplify]: Simplify im into im 2.733 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.733 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.733 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.733 * [taylor]: Taking taylor expansion of re in re 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (* 1 1) into 1 2.734 * [backup-simplify]: Simplify (/ 1 1) into 1 2.734 * [backup-simplify]: Simplify (+ 0 1) into 1 2.735 * [backup-simplify]: Simplify (sqrt 1) into 1 2.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.736 * [taylor]: Taking taylor expansion of 1 in im 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [taylor]: Taking taylor expansion of 0 in im 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.738 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.739 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.739 * [taylor]: Taking taylor expansion of 1/2 in im 2.739 * [backup-simplify]: Simplify 1/2 into 1/2 2.739 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.739 * [taylor]: Taking taylor expansion of im in im 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (* 1 1) into 1 2.739 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ 0 0) into 0 2.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.742 * [taylor]: Taking taylor expansion of 0 in im 2.742 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.744 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.744 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.744 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.744 * [taylor]: Taking taylor expansion of im in im 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [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 2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.747 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.747 * [taylor]: Taking taylor expansion of im in re 2.747 * [backup-simplify]: Simplify im into im 2.747 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.747 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.747 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.747 * [taylor]: Taking taylor expansion of re in re 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (* 1 1) into 1 2.748 * [backup-simplify]: Simplify (/ 1 1) into 1 2.748 * [backup-simplify]: Simplify (+ 0 1) into 1 2.748 * [backup-simplify]: Simplify (sqrt 1) into 1 2.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.750 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.750 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.750 * [taylor]: Taking taylor expansion of im in re 2.750 * [backup-simplify]: Simplify im into im 2.750 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.750 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.750 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.750 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.750 * [taylor]: Taking taylor expansion of re in re 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (* 1 1) into 1 2.750 * [backup-simplify]: Simplify (/ 1 1) into 1 2.751 * [backup-simplify]: Simplify (+ 0 1) into 1 2.751 * [backup-simplify]: Simplify (sqrt 1) into 1 2.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.753 * [taylor]: Taking taylor expansion of 1 in im 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [taylor]: Taking taylor expansion of 0 in im 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.755 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.755 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.755 * [taylor]: Taking taylor expansion of 1/2 in im 2.755 * [backup-simplify]: Simplify 1/2 into 1/2 2.755 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.755 * [taylor]: Taking taylor expansion of im in im 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (* 1 1) into 1 2.756 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (+ 0 0) into 0 2.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.762 * [taylor]: Taking taylor expansion of 0 in im 2.762 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.764 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 2.764 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.764 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.764 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.764 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.764 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.764 * [taylor]: Taking taylor expansion of re in im 2.764 * [backup-simplify]: Simplify re into re 2.764 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.764 * [taylor]: Taking taylor expansion of im in im 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.765 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.765 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.765 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.766 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.766 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.766 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.766 * [taylor]: Taking taylor expansion of re in re 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.766 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.766 * [taylor]: Taking taylor expansion of im in re 2.766 * [backup-simplify]: Simplify im into im 2.766 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.766 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.766 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.766 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.767 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.767 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.767 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.767 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.767 * [taylor]: Taking taylor expansion of re in re 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.767 * [taylor]: Taking taylor expansion of im in re 2.767 * [backup-simplify]: Simplify im into im 2.767 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.767 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.768 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.768 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.768 * [backup-simplify]: Simplify (+ 0 0) into 0 2.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.768 * [taylor]: Taking taylor expansion of im in im 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [taylor]: Taking taylor expansion of 0 in im 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (* 1 1) into 1 2.769 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.770 * [backup-simplify]: Simplify (+ 1 0) into 1 2.771 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.771 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.771 * [taylor]: Taking taylor expansion of 1/2 in im 2.771 * [backup-simplify]: Simplify 1/2 into 1/2 2.771 * [taylor]: Taking taylor expansion of im in im 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 1 into 1 2.771 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.774 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.774 * [backup-simplify]: Simplify (+ 0 0) into 0 2.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.774 * [taylor]: Taking taylor expansion of 0 in im 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.776 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.776 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.776 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.776 * [taylor]: Taking taylor expansion of im in im 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (* 1 1) into 1 2.777 * [backup-simplify]: Simplify (/ 1 1) into 1 2.777 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.777 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.777 * [taylor]: Taking taylor expansion of re in im 2.777 * [backup-simplify]: Simplify re into re 2.777 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.777 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.778 * [backup-simplify]: Simplify (+ 1 0) into 1 2.778 * [backup-simplify]: Simplify (sqrt 1) into 1 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.781 * [taylor]: Taking taylor expansion of im in re 2.781 * [backup-simplify]: Simplify im into im 2.781 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.781 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.781 * [taylor]: Taking taylor expansion of re in re 2.781 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify 1 into 1 2.782 * [backup-simplify]: Simplify (* 1 1) into 1 2.782 * [backup-simplify]: Simplify (/ 1 1) into 1 2.783 * [backup-simplify]: Simplify (+ 0 1) into 1 2.783 * [backup-simplify]: Simplify (sqrt 1) into 1 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.785 * [backup-simplify]: Simplify (+ 0 0) into 0 2.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.787 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.787 * [taylor]: Taking taylor expansion of im in re 2.787 * [backup-simplify]: Simplify im into im 2.787 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.787 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.787 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.787 * [taylor]: Taking taylor expansion of re in re 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (* 1 1) into 1 2.788 * [backup-simplify]: Simplify (/ 1 1) into 1 2.789 * [backup-simplify]: Simplify (+ 0 1) into 1 2.789 * [backup-simplify]: Simplify (sqrt 1) into 1 2.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (+ 0 0) into 0 2.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.792 * [taylor]: Taking taylor expansion of 1 in im 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [taylor]: Taking taylor expansion of 0 in im 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.796 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.796 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.796 * [taylor]: Taking taylor expansion of 1/2 in im 2.796 * [backup-simplify]: Simplify 1/2 into 1/2 2.796 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.796 * [taylor]: Taking taylor expansion of im in im 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify (* 1 1) into 1 2.797 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.801 * [backup-simplify]: Simplify (+ 0 0) into 0 2.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.802 * [taylor]: Taking taylor expansion of 0 in im 2.802 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.805 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.805 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.805 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.805 * [taylor]: Taking taylor expansion of im in im 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (* 1 1) into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.806 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.806 * [taylor]: Taking taylor expansion of re in im 2.806 * [backup-simplify]: Simplify re into re 2.806 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.806 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.807 * [backup-simplify]: Simplify (+ 1 0) into 1 2.807 * [backup-simplify]: Simplify (sqrt 1) into 1 2.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (+ 0 0) into 0 2.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.810 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.810 * [taylor]: Taking taylor expansion of im in re 2.810 * [backup-simplify]: Simplify im into im 2.810 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.810 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.811 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.811 * [taylor]: Taking taylor expansion of re in re 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (* 1 1) into 1 2.811 * [backup-simplify]: Simplify (/ 1 1) into 1 2.812 * [backup-simplify]: Simplify (+ 0 1) into 1 2.812 * [backup-simplify]: Simplify (sqrt 1) into 1 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ 0 0) into 0 2.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.823 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.823 * [taylor]: Taking taylor expansion of im in re 2.823 * [backup-simplify]: Simplify im into im 2.823 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.823 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.823 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.823 * [taylor]: Taking taylor expansion of re in re 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (* 1 1) into 1 2.824 * [backup-simplify]: Simplify (/ 1 1) into 1 2.825 * [backup-simplify]: Simplify (+ 0 1) into 1 2.825 * [backup-simplify]: Simplify (sqrt 1) into 1 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.827 * [backup-simplify]: Simplify (+ 0 0) into 0 2.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.828 * [taylor]: Taking taylor expansion of 1 in im 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [taylor]: Taking taylor expansion of 0 in im 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 1 into 1 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.832 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.832 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.832 * [taylor]: Taking taylor expansion of 1/2 in im 2.832 * [backup-simplify]: Simplify 1/2 into 1/2 2.832 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.832 * [taylor]: Taking taylor expansion of im in im 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.832 * [backup-simplify]: Simplify (* 1 1) into 1 2.833 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (+ 0 0) into 0 2.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.836 * [taylor]: Taking taylor expansion of 0 in im 2.836 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.838 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.838 * [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) 2.838 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 2.838 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.839 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.839 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.839 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.839 * [taylor]: Taking taylor expansion of re in im 2.839 * [backup-simplify]: Simplify re into re 2.839 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.839 * [taylor]: Taking taylor expansion of im in im 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.839 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.839 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.839 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.839 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.839 * [taylor]: Taking taylor expansion of re in im 2.839 * [backup-simplify]: Simplify re into re 2.839 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.839 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.839 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.839 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.839 * [taylor]: Taking taylor expansion of re in re 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.840 * [taylor]: Taking taylor expansion of im in re 2.840 * [backup-simplify]: Simplify im into im 2.840 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.840 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.840 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.840 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.840 * [taylor]: Taking taylor expansion of re in re 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.840 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.840 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.840 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.840 * [taylor]: Taking taylor expansion of re in re 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.840 * [taylor]: Taking taylor expansion of im in re 2.840 * [backup-simplify]: Simplify im into im 2.840 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.841 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.841 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.841 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.841 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.841 * [taylor]: Taking taylor expansion of re in re 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [backup-simplify]: Simplify (- 0) into 0 2.841 * [backup-simplify]: Simplify (+ im 0) into im 2.841 * [taylor]: Taking taylor expansion of im in im 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (- 1) into -1 2.842 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.842 * [taylor]: Taking taylor expansion of -1 in im 2.842 * [backup-simplify]: Simplify -1 into -1 2.842 * [backup-simplify]: Simplify -1 into -1 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (* 1 1) into 1 2.843 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.843 * [backup-simplify]: Simplify (+ 1 0) into 1 2.843 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.844 * [backup-simplify]: Simplify (- 0) into 0 2.844 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.844 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.844 * [taylor]: Taking taylor expansion of 1/2 in im 2.844 * [backup-simplify]: Simplify 1/2 into 1/2 2.844 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.844 * [taylor]: Taking taylor expansion of im in im 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 1 into 1 2.844 * [backup-simplify]: Simplify (/ 1 1) into 1 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.846 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.847 * [backup-simplify]: Simplify (- 0) into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [taylor]: Taking taylor expansion of 0 in im 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.849 * [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)) 2.849 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.849 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.849 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.849 * [taylor]: Taking taylor expansion of im in im 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify (* 1 1) into 1 2.849 * [backup-simplify]: Simplify (/ 1 1) into 1 2.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.849 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.849 * [taylor]: Taking taylor expansion of re in im 2.849 * [backup-simplify]: Simplify re into re 2.849 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.850 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.850 * [backup-simplify]: Simplify (+ 1 0) into 1 2.850 * [backup-simplify]: Simplify (sqrt 1) into 1 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.852 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.852 * [taylor]: Taking taylor expansion of re in im 2.852 * [backup-simplify]: Simplify re into re 2.852 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.852 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.852 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.852 * [taylor]: Taking taylor expansion of im in re 2.852 * [backup-simplify]: Simplify im into im 2.852 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.852 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.852 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.852 * [taylor]: Taking taylor expansion of re in re 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.852 * [backup-simplify]: Simplify (* 1 1) into 1 2.853 * [backup-simplify]: Simplify (/ 1 1) into 1 2.853 * [backup-simplify]: Simplify (+ 0 1) into 1 2.853 * [backup-simplify]: Simplify (sqrt 1) into 1 2.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.854 * [backup-simplify]: Simplify (+ 0 0) into 0 2.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.855 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.855 * [taylor]: Taking taylor expansion of re in re 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify (/ 1 1) into 1 2.855 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.855 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.855 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.855 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.855 * [taylor]: Taking taylor expansion of im in re 2.855 * [backup-simplify]: Simplify im into im 2.855 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.855 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.855 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.855 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.855 * [taylor]: Taking taylor expansion of re in re 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify (* 1 1) into 1 2.856 * [backup-simplify]: Simplify (/ 1 1) into 1 2.856 * [backup-simplify]: Simplify (+ 0 1) into 1 2.856 * [backup-simplify]: Simplify (sqrt 1) into 1 2.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (+ 0 0) into 0 2.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.858 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.858 * [taylor]: Taking taylor expansion of re in re 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (/ 1 1) into 1 2.858 * [backup-simplify]: Simplify (- 1) into -1 2.859 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.859 * [taylor]: Taking taylor expansion of 0 in im 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (- 0) into 0 2.860 * [backup-simplify]: Simplify (+ 0 0) into 0 2.860 * [taylor]: Taking taylor expansion of 0 in im 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.862 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (- 0) into 0 2.862 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.863 * [taylor]: Taking taylor expansion of 1/2 in im 2.863 * [backup-simplify]: Simplify 1/2 into 1/2 2.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.863 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.863 * [taylor]: Taking taylor expansion of im in im 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [backup-simplify]: Simplify (* 1 1) into 1 2.863 * [backup-simplify]: Simplify (/ 1 1) into 1 2.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (+ 0 0) into 0 2.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.868 * [backup-simplify]: Simplify (- 0) into 0 2.868 * [backup-simplify]: Simplify (+ 0 0) into 0 2.869 * [taylor]: Taking taylor expansion of 0 in im 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.873 * [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))))) 2.873 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.873 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.873 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.873 * [taylor]: Taking taylor expansion of re in im 2.873 * [backup-simplify]: Simplify re into re 2.873 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.873 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.873 * [taylor]: Taking taylor expansion of im in im 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 1 into 1 2.873 * [backup-simplify]: Simplify (* 1 1) into 1 2.874 * [backup-simplify]: Simplify (/ 1 1) into 1 2.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.874 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.874 * [taylor]: Taking taylor expansion of re in im 2.874 * [backup-simplify]: Simplify re into re 2.874 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.874 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.875 * [backup-simplify]: Simplify (+ 1 0) into 1 2.875 * [backup-simplify]: Simplify (sqrt 1) into 1 2.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (+ 0 0) into 0 2.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.878 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.878 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.878 * [taylor]: Taking taylor expansion of re in re 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (/ 1 1) into 1 2.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.878 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.878 * [taylor]: Taking taylor expansion of im in re 2.878 * [backup-simplify]: Simplify im into im 2.878 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.879 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.879 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.879 * [taylor]: Taking taylor expansion of re in re 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (* 1 1) into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.880 * [backup-simplify]: Simplify (+ 0 1) into 1 2.881 * [backup-simplify]: Simplify (sqrt 1) into 1 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.883 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.883 * [taylor]: Taking taylor expansion of re in re 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.884 * [backup-simplify]: Simplify (/ 1 1) into 1 2.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.884 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.884 * [taylor]: Taking taylor expansion of im in re 2.884 * [backup-simplify]: Simplify im into im 2.884 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.884 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.884 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.884 * [taylor]: Taking taylor expansion of re in re 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 1 into 1 2.885 * [backup-simplify]: Simplify (* 1 1) into 1 2.885 * [backup-simplify]: Simplify (/ 1 1) into 1 2.885 * [backup-simplify]: Simplify (+ 0 1) into 1 2.886 * [backup-simplify]: Simplify (sqrt 1) into 1 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (+ 0 0) into 0 2.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.889 * [backup-simplify]: Simplify (+ 1 1) into 2 2.889 * [taylor]: Taking taylor expansion of 2 in im 2.889 * [backup-simplify]: Simplify 2 into 2 2.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.890 * [taylor]: Taking taylor expansion of 0 in im 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 2 into 2 2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.894 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.895 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.895 * [taylor]: Taking taylor expansion of 1/2 in im 2.895 * [backup-simplify]: Simplify 1/2 into 1/2 2.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.895 * [taylor]: Taking taylor expansion of im in im 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (* 1 1) into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.899 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.903 * [backup-simplify]: Simplify (+ 0 0) into 0 2.903 * [taylor]: Taking taylor expansion of 0 in im 2.903 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.906 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 2.907 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 2.907 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.907 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.907 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.907 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.907 * [taylor]: Taking taylor expansion of re in im 2.907 * [backup-simplify]: Simplify re into re 2.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.907 * [taylor]: Taking taylor expansion of im in im 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.908 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.908 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.908 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.909 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.909 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.909 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.909 * [taylor]: Taking taylor expansion of re in re 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.909 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.909 * [taylor]: Taking taylor expansion of im in re 2.909 * [backup-simplify]: Simplify im into im 2.909 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.909 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.909 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.909 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.910 * [backup-simplify]: Simplify (+ 0 0) into 0 2.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.910 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.910 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.910 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.910 * [taylor]: Taking taylor expansion of re in re 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.910 * [taylor]: Taking taylor expansion of im in re 2.910 * [backup-simplify]: Simplify im into im 2.910 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.910 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.910 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.911 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.911 * [backup-simplify]: Simplify (+ 0 0) into 0 2.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.911 * [taylor]: Taking taylor expansion of im in im 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [taylor]: Taking taylor expansion of 0 in im 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (* 1 1) into 1 2.912 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.913 * [backup-simplify]: Simplify (+ 1 0) into 1 2.914 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.914 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.914 * [taylor]: Taking taylor expansion of 1/2 in im 2.914 * [backup-simplify]: Simplify 1/2 into 1/2 2.914 * [taylor]: Taking taylor expansion of im in im 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.916 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.916 * [taylor]: Taking taylor expansion of 0 in im 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.917 * [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)))) 2.917 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.917 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.917 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.917 * [taylor]: Taking taylor expansion of im in im 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify (* 1 1) into 1 2.918 * [backup-simplify]: Simplify (/ 1 1) into 1 2.918 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.918 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.918 * [taylor]: Taking taylor expansion of re in im 2.918 * [backup-simplify]: Simplify re into re 2.918 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.918 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.918 * [backup-simplify]: Simplify (+ 1 0) into 1 2.919 * [backup-simplify]: Simplify (sqrt 1) into 1 2.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify (+ 0 0) into 0 2.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.920 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.920 * [taylor]: Taking taylor expansion of im in re 2.920 * [backup-simplify]: Simplify im into im 2.920 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.920 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.920 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.920 * [taylor]: Taking taylor expansion of re in re 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (* 1 1) into 1 2.921 * [backup-simplify]: Simplify (/ 1 1) into 1 2.921 * [backup-simplify]: Simplify (+ 0 1) into 1 2.921 * [backup-simplify]: Simplify (sqrt 1) into 1 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ 0 0) into 0 2.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.923 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.923 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.923 * [taylor]: Taking taylor expansion of im in re 2.923 * [backup-simplify]: Simplify im into im 2.923 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.923 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.923 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.923 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.923 * [taylor]: Taking taylor expansion of re in re 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (* 1 1) into 1 2.924 * [backup-simplify]: Simplify (/ 1 1) into 1 2.924 * [backup-simplify]: Simplify (+ 0 1) into 1 2.924 * [backup-simplify]: Simplify (sqrt 1) into 1 2.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (+ 0 0) into 0 2.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.926 * [taylor]: Taking taylor expansion of 1 in im 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [taylor]: Taking taylor expansion of 0 in im 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.928 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.928 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.928 * [taylor]: Taking taylor expansion of 1/2 in im 2.928 * [backup-simplify]: Simplify 1/2 into 1/2 2.928 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.928 * [taylor]: Taking taylor expansion of im in im 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify (* 1 1) into 1 2.929 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.932 * [taylor]: Taking taylor expansion of 0 in im 2.932 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.934 * [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)))) 2.934 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.934 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.934 * [taylor]: Taking taylor expansion of im in im 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (* 1 1) into 1 2.934 * [backup-simplify]: Simplify (/ 1 1) into 1 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.934 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.934 * [taylor]: Taking taylor expansion of re in im 2.934 * [backup-simplify]: Simplify re into re 2.934 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.935 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.935 * [backup-simplify]: Simplify (+ 1 0) into 1 2.935 * [backup-simplify]: Simplify (sqrt 1) into 1 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (+ 0 0) into 0 2.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.937 * [taylor]: Taking taylor expansion of im in re 2.937 * [backup-simplify]: Simplify im into im 2.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.937 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.937 * [taylor]: Taking taylor expansion of re in re 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (* 1 1) into 1 2.938 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [backup-simplify]: Simplify (+ 0 1) into 1 2.938 * [backup-simplify]: Simplify (sqrt 1) into 1 2.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.945 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.945 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.945 * [taylor]: Taking taylor expansion of im in re 2.945 * [backup-simplify]: Simplify im into im 2.945 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.946 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.946 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.946 * [taylor]: Taking taylor expansion of re in re 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (* 1 1) into 1 2.947 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [backup-simplify]: Simplify (+ 0 1) into 1 2.948 * [backup-simplify]: Simplify (sqrt 1) into 1 2.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify (+ 0 0) into 0 2.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.950 * [taylor]: Taking taylor expansion of 1 in im 2.950 * [backup-simplify]: Simplify 1 into 1 2.950 * [taylor]: Taking taylor expansion of 0 in im 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.954 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.954 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.954 * [taylor]: Taking taylor expansion of 1/2 in im 2.954 * [backup-simplify]: Simplify 1/2 into 1/2 2.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.954 * [taylor]: Taking taylor expansion of im in im 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.955 * [backup-simplify]: Simplify (* 1 1) into 1 2.955 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (+ 0 0) into 0 2.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.960 * [taylor]: Taking taylor expansion of 0 in im 2.960 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.962 * * * [progress]: simplifying candidates 2.966 * [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 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h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* 1 1) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* 2 h2) (* 2 1) (* 2 (/ h2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1)) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 1) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))) (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) h0 h1 (* -1 h1) 3.803 * * * [progress]: adding candidates to table 4.267 * * [progress]: iteration 3 / 4 4.267 * * * [progress]: picking best candidate 4.286 * * * * [pick]: Picked # 4.287 * * * [progress]: localizing error 4.315 * * * [progress]: generating rewritten candidates 4.315 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 4.330 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 4.339 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 4.395 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) 4.420 * * * [progress]: generating series expansions 4.420 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 4.420 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 4.420 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 4.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 4.420 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.420 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.420 * [taylor]: Taking taylor expansion of re in im 4.420 * [backup-simplify]: Simplify re into re 4.420 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.420 * [taylor]: Taking taylor expansion of im in im 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 1 into 1 4.421 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.421 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.421 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.421 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.422 * [backup-simplify]: Simplify (+ 0 0) into 0 4.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.422 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.422 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.422 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.422 * [taylor]: Taking taylor expansion of re in re 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 1 into 1 4.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.422 * [taylor]: Taking taylor expansion of im in re 4.423 * [backup-simplify]: Simplify im into im 4.423 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.423 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.423 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.423 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.423 * [backup-simplify]: Simplify (+ 0 0) into 0 4.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.424 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.424 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.424 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.424 * [taylor]: Taking taylor expansion of re in re 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.424 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.424 * [taylor]: Taking taylor expansion of im in re 4.424 * [backup-simplify]: Simplify im into im 4.424 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.424 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.424 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.424 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.425 * [backup-simplify]: Simplify (+ 0 0) into 0 4.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.425 * [taylor]: Taking taylor expansion of im in im 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 1 into 1 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [taylor]: Taking taylor expansion of 0 in im 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 1 into 1 4.426 * [backup-simplify]: Simplify (* 1 1) into 1 4.426 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.427 * [backup-simplify]: Simplify (+ 1 0) into 1 4.428 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.428 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.428 * [taylor]: Taking taylor expansion of 1/2 in im 4.428 * [backup-simplify]: Simplify 1/2 into 1/2 4.428 * [taylor]: Taking taylor expansion of im in im 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify 1 into 1 4.428 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.429 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.431 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.431 * [backup-simplify]: Simplify (+ 0 0) into 0 4.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.431 * [taylor]: Taking taylor expansion of 0 in im 4.431 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.433 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.433 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.433 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.433 * [taylor]: Taking taylor expansion of im in im 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 1 into 1 4.434 * [backup-simplify]: Simplify (* 1 1) into 1 4.434 * [backup-simplify]: Simplify (/ 1 1) into 1 4.434 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.434 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.434 * [taylor]: Taking taylor expansion of re in im 4.434 * [backup-simplify]: Simplify re into re 4.434 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.435 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.435 * [backup-simplify]: Simplify (+ 1 0) into 1 4.435 * [backup-simplify]: Simplify (sqrt 1) into 1 4.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.437 * [backup-simplify]: Simplify (+ 0 0) into 0 4.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.438 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.438 * [taylor]: Taking taylor expansion of im in re 4.438 * [backup-simplify]: Simplify im into im 4.438 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.438 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.438 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.438 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.438 * [taylor]: Taking taylor expansion of re in re 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.439 * [backup-simplify]: Simplify (* 1 1) into 1 4.439 * [backup-simplify]: Simplify (/ 1 1) into 1 4.439 * [backup-simplify]: Simplify (+ 0 1) into 1 4.439 * [backup-simplify]: Simplify (sqrt 1) into 1 4.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.440 * [backup-simplify]: Simplify (+ 0 0) into 0 4.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.441 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.441 * [taylor]: Taking taylor expansion of im in re 4.441 * [backup-simplify]: Simplify im into im 4.441 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.441 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.441 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.441 * [taylor]: Taking taylor expansion of re in re 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.442 * [backup-simplify]: Simplify (* 1 1) into 1 4.442 * [backup-simplify]: Simplify (/ 1 1) into 1 4.442 * [backup-simplify]: Simplify (+ 0 1) into 1 4.442 * [backup-simplify]: Simplify (sqrt 1) into 1 4.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.443 * [backup-simplify]: Simplify (+ 0 0) into 0 4.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.444 * [taylor]: Taking taylor expansion of 1 in im 4.444 * [backup-simplify]: Simplify 1 into 1 4.444 * [taylor]: Taking taylor expansion of 0 in im 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.445 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.446 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.446 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.446 * [taylor]: Taking taylor expansion of 1/2 in im 4.446 * [backup-simplify]: Simplify 1/2 into 1/2 4.446 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.446 * [taylor]: Taking taylor expansion of im in im 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [backup-simplify]: Simplify (* 1 1) into 1 4.447 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.449 * [backup-simplify]: Simplify (+ 0 0) into 0 4.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.450 * [taylor]: Taking taylor expansion of 0 in im 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.451 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.451 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.451 * [taylor]: Taking taylor expansion of im in im 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 1 into 1 4.452 * [backup-simplify]: Simplify (* 1 1) into 1 4.452 * [backup-simplify]: Simplify (/ 1 1) into 1 4.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.452 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.452 * [taylor]: Taking taylor expansion of re in im 4.452 * [backup-simplify]: Simplify re into re 4.452 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.452 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.452 * [backup-simplify]: Simplify (+ 1 0) into 1 4.452 * [backup-simplify]: Simplify (sqrt 1) into 1 4.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.454 * [backup-simplify]: Simplify (+ 0 0) into 0 4.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.454 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.454 * [taylor]: Taking taylor expansion of im in re 4.454 * [backup-simplify]: Simplify im into im 4.454 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.454 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.454 * [taylor]: Taking taylor expansion of re in re 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.455 * [backup-simplify]: Simplify (* 1 1) into 1 4.455 * [backup-simplify]: Simplify (/ 1 1) into 1 4.455 * [backup-simplify]: Simplify (+ 0 1) into 1 4.455 * [backup-simplify]: Simplify (sqrt 1) into 1 4.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.456 * [backup-simplify]: Simplify (+ 0 0) into 0 4.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.457 * [taylor]: Taking taylor expansion of im in re 4.457 * [backup-simplify]: Simplify im into im 4.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.457 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.457 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.457 * [taylor]: Taking taylor expansion of re in re 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (* 1 1) into 1 4.458 * [backup-simplify]: Simplify (/ 1 1) into 1 4.458 * [backup-simplify]: Simplify (+ 0 1) into 1 4.458 * [backup-simplify]: Simplify (sqrt 1) into 1 4.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.459 * [backup-simplify]: Simplify (+ 0 0) into 0 4.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.460 * [taylor]: Taking taylor expansion of 1 in im 4.460 * [backup-simplify]: Simplify 1 into 1 4.460 * [taylor]: Taking taylor expansion of 0 in im 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify 1 into 1 4.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.462 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.462 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.462 * [taylor]: Taking taylor expansion of 1/2 in im 4.462 * [backup-simplify]: Simplify 1/2 into 1/2 4.462 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.462 * [taylor]: Taking taylor expansion of im in im 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify 1 into 1 4.462 * [backup-simplify]: Simplify (* 1 1) into 1 4.462 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.463 * [backup-simplify]: Simplify 0 into 0 4.463 * [backup-simplify]: Simplify 0 into 0 4.463 * [backup-simplify]: Simplify 0 into 0 4.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.465 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.465 * [taylor]: Taking taylor expansion of 0 in im 4.465 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.467 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1) 4.467 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 4.467 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 4.467 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 4.467 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.467 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.467 * [taylor]: Taking taylor expansion of re in im 4.467 * [backup-simplify]: Simplify re into re 4.467 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.467 * [taylor]: Taking taylor expansion of im in im 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify 1 into 1 4.467 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.467 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.468 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.468 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.468 * [backup-simplify]: Simplify (+ 0 0) into 0 4.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.468 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.468 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.468 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.468 * [taylor]: Taking taylor expansion of re in re 4.468 * [backup-simplify]: Simplify 0 into 0 4.468 * [backup-simplify]: Simplify 1 into 1 4.468 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.468 * [taylor]: Taking taylor expansion of im in re 4.468 * [backup-simplify]: Simplify im into im 4.468 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.468 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.468 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.468 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.469 * [backup-simplify]: Simplify (+ 0 0) into 0 4.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.469 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.469 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.469 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.469 * [taylor]: Taking taylor expansion of re in re 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 1 into 1 4.469 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.469 * [taylor]: Taking taylor expansion of im in re 4.469 * [backup-simplify]: Simplify im into im 4.469 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.469 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.469 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.469 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.469 * [backup-simplify]: Simplify (+ 0 0) into 0 4.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.470 * [taylor]: Taking taylor expansion of im in im 4.470 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify 1 into 1 4.470 * [backup-simplify]: Simplify 0 into 0 4.470 * [taylor]: Taking taylor expansion of 0 in im 4.470 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify 1 into 1 4.470 * [backup-simplify]: Simplify (* 1 1) into 1 4.470 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.471 * [backup-simplify]: Simplify (+ 1 0) into 1 4.471 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.471 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.471 * [taylor]: Taking taylor expansion of 1/2 in im 4.471 * [backup-simplify]: Simplify 1/2 into 1/2 4.471 * [taylor]: Taking taylor expansion of im in im 4.471 * [backup-simplify]: Simplify 0 into 0 4.471 * [backup-simplify]: Simplify 1 into 1 4.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.473 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.473 * [backup-simplify]: Simplify (+ 0 0) into 0 4.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.473 * [taylor]: Taking taylor expansion of 0 in im 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.474 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.474 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.474 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.474 * [taylor]: Taking taylor expansion of im in im 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.475 * [backup-simplify]: Simplify (* 1 1) into 1 4.475 * [backup-simplify]: Simplify (/ 1 1) into 1 4.475 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.475 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.475 * [taylor]: Taking taylor expansion of re in im 4.475 * [backup-simplify]: Simplify re into re 4.475 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.475 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.475 * [backup-simplify]: Simplify (+ 1 0) into 1 4.476 * [backup-simplify]: Simplify (sqrt 1) into 1 4.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.477 * [backup-simplify]: Simplify (+ 0 0) into 0 4.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.477 * [taylor]: Taking taylor expansion of im in re 4.477 * [backup-simplify]: Simplify im into im 4.477 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.477 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.477 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.477 * [taylor]: Taking taylor expansion of re in re 4.477 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify 1 into 1 4.478 * [backup-simplify]: Simplify (* 1 1) into 1 4.478 * [backup-simplify]: Simplify (/ 1 1) into 1 4.478 * [backup-simplify]: Simplify (+ 0 1) into 1 4.478 * [backup-simplify]: Simplify (sqrt 1) into 1 4.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.479 * [backup-simplify]: Simplify (+ 0 0) into 0 4.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.480 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.480 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.480 * [taylor]: Taking taylor expansion of im in re 4.480 * [backup-simplify]: Simplify im into im 4.480 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.480 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.480 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.480 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.480 * [taylor]: Taking taylor expansion of re in re 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 1 into 1 4.480 * [backup-simplify]: Simplify (* 1 1) into 1 4.481 * [backup-simplify]: Simplify (/ 1 1) into 1 4.481 * [backup-simplify]: Simplify (+ 0 1) into 1 4.481 * [backup-simplify]: Simplify (sqrt 1) into 1 4.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.482 * [backup-simplify]: Simplify (+ 0 0) into 0 4.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.483 * [taylor]: Taking taylor expansion of 1 in im 4.483 * [backup-simplify]: Simplify 1 into 1 4.483 * [taylor]: Taking taylor expansion of 0 in im 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 1 into 1 4.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.484 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.485 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.485 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.485 * [taylor]: Taking taylor expansion of 1/2 in im 4.485 * [backup-simplify]: Simplify 1/2 into 1/2 4.485 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.485 * [taylor]: Taking taylor expansion of im in im 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify 1 into 1 4.485 * [backup-simplify]: Simplify (* 1 1) into 1 4.485 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.488 * [backup-simplify]: Simplify (+ 0 0) into 0 4.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.488 * [taylor]: Taking taylor expansion of 0 in im 4.488 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.490 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.490 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.490 * [taylor]: Taking taylor expansion of im in im 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 1 into 1 4.490 * [backup-simplify]: Simplify (* 1 1) into 1 4.490 * [backup-simplify]: Simplify (/ 1 1) into 1 4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.490 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.491 * [taylor]: Taking taylor expansion of re in im 4.491 * [backup-simplify]: Simplify re into re 4.491 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.491 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.491 * [backup-simplify]: Simplify (+ 1 0) into 1 4.491 * [backup-simplify]: Simplify (sqrt 1) into 1 4.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.492 * [backup-simplify]: Simplify (+ 0 0) into 0 4.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.493 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.493 * [taylor]: Taking taylor expansion of im in re 4.493 * [backup-simplify]: Simplify im into im 4.493 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.493 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.493 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.493 * [taylor]: Taking taylor expansion of re in re 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 1 into 1 4.493 * [backup-simplify]: Simplify (* 1 1) into 1 4.494 * [backup-simplify]: Simplify (/ 1 1) into 1 4.494 * [backup-simplify]: Simplify (+ 0 1) into 1 4.494 * [backup-simplify]: Simplify (sqrt 1) into 1 4.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.495 * [backup-simplify]: Simplify (+ 0 0) into 0 4.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.496 * [taylor]: Taking taylor expansion of im in re 4.496 * [backup-simplify]: Simplify im into im 4.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.496 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.496 * [taylor]: Taking taylor expansion of re in re 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 1 into 1 4.496 * [backup-simplify]: Simplify (* 1 1) into 1 4.496 * [backup-simplify]: Simplify (/ 1 1) into 1 4.497 * [backup-simplify]: Simplify (+ 0 1) into 1 4.497 * [backup-simplify]: Simplify (sqrt 1) into 1 4.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.498 * [backup-simplify]: Simplify (+ 0 0) into 0 4.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.498 * [taylor]: Taking taylor expansion of 1 in im 4.498 * [backup-simplify]: Simplify 1 into 1 4.498 * [taylor]: Taking taylor expansion of 0 in im 4.498 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify 1 into 1 4.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.500 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.501 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.501 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.501 * [taylor]: Taking taylor expansion of 1/2 in im 4.501 * [backup-simplify]: Simplify 1/2 into 1/2 4.501 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.501 * [taylor]: Taking taylor expansion of im in im 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify 1 into 1 4.501 * [backup-simplify]: Simplify (* 1 1) into 1 4.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.504 * [backup-simplify]: Simplify (+ 0 0) into 0 4.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.504 * [taylor]: Taking taylor expansion of 0 in im 4.504 * [backup-simplify]: Simplify 0 into 0 4.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.506 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 4.506 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 4.506 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 4.506 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 4.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 4.506 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.506 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.506 * [taylor]: Taking taylor expansion of re in im 4.506 * [backup-simplify]: Simplify re into re 4.507 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.507 * [taylor]: Taking taylor expansion of im in im 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.507 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.507 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.507 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.507 * [backup-simplify]: Simplify (+ 0 0) into 0 4.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.507 * [taylor]: Taking taylor expansion of re in im 4.507 * [backup-simplify]: Simplify re into re 4.507 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 4.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.507 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.507 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.507 * [taylor]: Taking taylor expansion of re in re 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.507 * [taylor]: Taking taylor expansion of im in re 4.507 * [backup-simplify]: Simplify im into im 4.508 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.508 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.508 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.508 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.508 * [backup-simplify]: Simplify (+ 0 0) into 0 4.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.508 * [taylor]: Taking taylor expansion of re in re 4.508 * [backup-simplify]: Simplify 0 into 0 4.508 * [backup-simplify]: Simplify 1 into 1 4.508 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 4.508 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.508 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.508 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.508 * [taylor]: Taking taylor expansion of re in re 4.508 * [backup-simplify]: Simplify 0 into 0 4.508 * [backup-simplify]: Simplify 1 into 1 4.508 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.508 * [taylor]: Taking taylor expansion of im in re 4.508 * [backup-simplify]: Simplify im into im 4.508 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.509 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.509 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.509 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.509 * [backup-simplify]: Simplify (+ 0 0) into 0 4.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.509 * [taylor]: Taking taylor expansion of re in re 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 1 into 1 4.509 * [backup-simplify]: Simplify (- 0) into 0 4.509 * [backup-simplify]: Simplify (+ im 0) into im 4.509 * [taylor]: Taking taylor expansion of im in im 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 1 into 1 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify (- 1) into -1 4.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.510 * [taylor]: Taking taylor expansion of -1 in im 4.510 * [backup-simplify]: Simplify -1 into -1 4.510 * [backup-simplify]: Simplify -1 into -1 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [backup-simplify]: Simplify (* 1 1) into 1 4.511 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.511 * [backup-simplify]: Simplify (+ 1 0) into 1 4.511 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.512 * [backup-simplify]: Simplify (- 0) into 0 4.512 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.512 * [taylor]: Taking taylor expansion of 1/2 in im 4.512 * [backup-simplify]: Simplify 1/2 into 1/2 4.512 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.512 * [taylor]: Taking taylor expansion of im in im 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 1 into 1 4.512 * [backup-simplify]: Simplify (/ 1 1) into 1 4.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.514 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.514 * [backup-simplify]: Simplify (+ 0 0) into 0 4.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.515 * [backup-simplify]: Simplify (- 0) into 0 4.515 * [backup-simplify]: Simplify (+ 0 0) into 0 4.515 * [taylor]: Taking taylor expansion of 0 in im 4.515 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.523 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 4.524 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3)) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 4.524 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 4.524 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 4.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.524 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.524 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.524 * [taylor]: Taking taylor expansion of im in im 4.524 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify 1 into 1 4.524 * [backup-simplify]: Simplify (* 1 1) into 1 4.525 * [backup-simplify]: Simplify (/ 1 1) into 1 4.525 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.525 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.525 * [taylor]: Taking taylor expansion of re in im 4.525 * [backup-simplify]: Simplify re into re 4.525 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.525 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.525 * [backup-simplify]: Simplify (+ 1 0) into 1 4.525 * [backup-simplify]: Simplify (sqrt 1) into 1 4.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.526 * [backup-simplify]: Simplify (+ 0 0) into 0 4.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.527 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.527 * [taylor]: Taking taylor expansion of re in im 4.527 * [backup-simplify]: Simplify re into re 4.527 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.527 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 4.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.527 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.527 * [taylor]: Taking taylor expansion of im in re 4.527 * [backup-simplify]: Simplify im into im 4.527 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.527 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.527 * [taylor]: Taking taylor expansion of re in re 4.527 * [backup-simplify]: Simplify 0 into 0 4.527 * [backup-simplify]: Simplify 1 into 1 4.528 * [backup-simplify]: Simplify (* 1 1) into 1 4.528 * [backup-simplify]: Simplify (/ 1 1) into 1 4.528 * [backup-simplify]: Simplify (+ 0 1) into 1 4.528 * [backup-simplify]: Simplify (sqrt 1) into 1 4.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.529 * [backup-simplify]: Simplify (+ 0 0) into 0 4.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.530 * [taylor]: Taking taylor expansion of re in re 4.530 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify 1 into 1 4.530 * [backup-simplify]: Simplify (/ 1 1) into 1 4.530 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 4.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.530 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.530 * [taylor]: Taking taylor expansion of im in re 4.530 * [backup-simplify]: Simplify im into im 4.531 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.531 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.531 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.531 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.531 * [taylor]: Taking taylor expansion of re in re 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.531 * [backup-simplify]: Simplify (* 1 1) into 1 4.532 * [backup-simplify]: Simplify (/ 1 1) into 1 4.532 * [backup-simplify]: Simplify (+ 0 1) into 1 4.532 * [backup-simplify]: Simplify (sqrt 1) into 1 4.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.534 * [backup-simplify]: Simplify (+ 0 0) into 0 4.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.535 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.535 * [taylor]: Taking taylor expansion of re in re 4.535 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify 1 into 1 4.535 * [backup-simplify]: Simplify (/ 1 1) into 1 4.536 * [backup-simplify]: Simplify (- 1) into -1 4.536 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.536 * [taylor]: Taking taylor expansion of 0 in im 4.536 * [backup-simplify]: Simplify 0 into 0 4.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.538 * [backup-simplify]: Simplify (- 0) into 0 4.538 * [backup-simplify]: Simplify (+ 0 0) into 0 4.538 * [taylor]: Taking taylor expansion of 0 in im 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.540 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.542 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.543 * [backup-simplify]: Simplify (- 0) into 0 4.543 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.543 * [taylor]: Taking taylor expansion of 1/2 in im 4.543 * [backup-simplify]: Simplify 1/2 into 1/2 4.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.543 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.543 * [taylor]: Taking taylor expansion of im in im 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify 1 into 1 4.544 * [backup-simplify]: Simplify (* 1 1) into 1 4.544 * [backup-simplify]: Simplify (/ 1 1) into 1 4.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.549 * [backup-simplify]: Simplify (+ 0 0) into 0 4.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.551 * [backup-simplify]: Simplify (- 0) into 0 4.552 * [backup-simplify]: Simplify (+ 0 0) into 0 4.552 * [taylor]: Taking taylor expansion of 0 in im 4.552 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.555 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3)) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 4.556 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 4.556 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 4.556 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.556 * [taylor]: Taking taylor expansion of re in im 4.556 * [backup-simplify]: Simplify re into re 4.556 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.556 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.556 * [taylor]: Taking taylor expansion of im in im 4.556 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify 1 into 1 4.557 * [backup-simplify]: Simplify (* 1 1) into 1 4.557 * [backup-simplify]: Simplify (/ 1 1) into 1 4.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.557 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.557 * [taylor]: Taking taylor expansion of re in im 4.557 * [backup-simplify]: Simplify re into re 4.558 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.558 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.558 * [backup-simplify]: Simplify (+ 1 0) into 1 4.559 * [backup-simplify]: Simplify (sqrt 1) into 1 4.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.560 * [backup-simplify]: Simplify (+ 0 0) into 0 4.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.561 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.561 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.561 * [taylor]: Taking taylor expansion of re in re 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 1 into 1 4.562 * [backup-simplify]: Simplify (/ 1 1) into 1 4.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.562 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.562 * [taylor]: Taking taylor expansion of im in re 4.562 * [backup-simplify]: Simplify im into im 4.562 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.562 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.562 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.562 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.562 * [taylor]: Taking taylor expansion of re in re 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 1 into 1 4.563 * [backup-simplify]: Simplify (* 1 1) into 1 4.563 * [backup-simplify]: Simplify (/ 1 1) into 1 4.563 * [backup-simplify]: Simplify (+ 0 1) into 1 4.564 * [backup-simplify]: Simplify (sqrt 1) into 1 4.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.566 * [backup-simplify]: Simplify (+ 0 0) into 0 4.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.567 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.567 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.567 * [taylor]: Taking taylor expansion of re in re 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify 1 into 1 4.567 * [backup-simplify]: Simplify (/ 1 1) into 1 4.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.567 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.567 * [taylor]: Taking taylor expansion of im in re 4.567 * [backup-simplify]: Simplify im into im 4.567 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.568 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.568 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.568 * [taylor]: Taking taylor expansion of re in re 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 1 into 1 4.568 * [backup-simplify]: Simplify (* 1 1) into 1 4.569 * [backup-simplify]: Simplify (/ 1 1) into 1 4.569 * [backup-simplify]: Simplify (+ 0 1) into 1 4.569 * [backup-simplify]: Simplify (sqrt 1) into 1 4.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.571 * [backup-simplify]: Simplify (+ 0 0) into 0 4.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.572 * [backup-simplify]: Simplify (+ 1 1) into 2 4.572 * [taylor]: Taking taylor expansion of 2 in im 4.572 * [backup-simplify]: Simplify 2 into 2 4.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.573 * [backup-simplify]: Simplify (+ 0 0) into 0 4.573 * [taylor]: Taking taylor expansion of 0 in im 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify 2 into 2 4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.576 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.578 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.578 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.578 * [taylor]: Taking taylor expansion of 1/2 in im 4.578 * [backup-simplify]: Simplify 1/2 into 1/2 4.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.578 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.578 * [taylor]: Taking taylor expansion of im in im 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (* 1 1) into 1 4.579 * [backup-simplify]: Simplify (/ 1 1) into 1 4.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.582 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.585 * [backup-simplify]: Simplify (+ 0 0) into 0 4.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.586 * [backup-simplify]: Simplify (+ 0 0) into 0 4.586 * [taylor]: Taking taylor expansion of 0 in im 4.586 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.588 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 4.589 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2) 4.589 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) 4.589 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in (re im) around 0 4.589 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in im 4.589 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in im 4.589 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in im 4.589 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in im 4.589 * [taylor]: Taking taylor expansion of 1/8 in im 4.589 * [backup-simplify]: Simplify 1/8 into 1/8 4.589 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 4.589 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.589 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.589 * [taylor]: Taking taylor expansion of re in im 4.590 * [backup-simplify]: Simplify re into re 4.590 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.590 * [taylor]: Taking taylor expansion of im in im 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.590 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.590 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.590 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 4.590 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2))) 4.591 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8) 4.591 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re 4.591 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re 4.591 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re 4.591 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re 4.591 * [taylor]: Taking taylor expansion of 1/8 in re 4.591 * [backup-simplify]: Simplify 1/8 into 1/8 4.591 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 4.591 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.591 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.591 * [taylor]: Taking taylor expansion of re in re 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify 1 into 1 4.591 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.591 * [taylor]: Taking taylor expansion of im in re 4.591 * [backup-simplify]: Simplify im into im 4.591 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.591 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.591 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 4.592 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2))) 4.592 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8) 4.592 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re 4.592 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re 4.592 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re 4.592 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re 4.592 * [taylor]: Taking taylor expansion of 1/8 in re 4.592 * [backup-simplify]: Simplify 1/8 into 1/8 4.592 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 4.592 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.592 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.592 * [taylor]: Taking taylor expansion of re in re 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.592 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.592 * [taylor]: Taking taylor expansion of im in re 4.592 * [backup-simplify]: Simplify im into im 4.592 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.593 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.593 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 4.593 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2))) 4.593 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8) 4.594 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (pow (pow im 2) 1/8)) into (sqrt im) 4.594 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (sqrt im)) into (pow (pow im 3) 1/4) 4.594 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im 4.594 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im 4.594 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im 4.594 * [taylor]: Taking taylor expansion of 1/4 in im 4.594 * [backup-simplify]: Simplify 1/4 into 1/4 4.594 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im 4.594 * [taylor]: Taking taylor expansion of (pow im 3) in im 4.594 * [taylor]: Taking taylor expansion of im in im 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.595 * [backup-simplify]: Simplify (* 1 1) into 1 4.595 * [backup-simplify]: Simplify (* 1 1) into 1 4.595 * [backup-simplify]: Simplify (log 1) into 0 4.596 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 4.596 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im)) 4.596 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4) 4.596 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4) 4.597 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.597 * [backup-simplify]: Simplify (+ 0 0) into 0 4.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 4.599 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow im 2)))) into 0 4.600 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.601 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (pow (pow im 2) 1/8))) into 0 4.601 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (sqrt im))) into 0 4.601 * [taylor]: Taking taylor expansion of 0 in im 4.601 * [backup-simplify]: Simplify 0 into 0 4.601 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.604 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 4.605 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0 4.606 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.606 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify (* 1 1) into 1 4.608 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.608 * [backup-simplify]: Simplify (+ 1 0) into 1 4.610 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 4.611 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/8 (/ 1 (pow im 2))) 4.612 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 4.613 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (pow im 2) 1/8)))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 4.614 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 4.614 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im 4.615 * [taylor]: Taking taylor expansion of 3/8 in im 4.615 * [backup-simplify]: Simplify 3/8 into 3/8 4.615 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 4.615 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 4.615 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 4.615 * [taylor]: Taking taylor expansion of 1/4 in im 4.615 * [backup-simplify]: Simplify 1/4 into 1/4 4.615 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 4.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 4.615 * [taylor]: Taking taylor expansion of (pow im 5) in im 4.615 * [taylor]: Taking taylor expansion of im in im 4.615 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify 1 into 1 4.615 * [backup-simplify]: Simplify (* 1 1) into 1 4.616 * [backup-simplify]: Simplify (* 1 1) into 1 4.616 * [backup-simplify]: Simplify (* 1 1) into 1 4.617 * [backup-simplify]: Simplify (/ 1 1) into 1 4.617 * [backup-simplify]: Simplify (log 1) into 0 4.617 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 4.617 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im)) 4.618 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4) 4.618 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 4.618 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 4.618 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.623 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.623 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 4.624 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0 4.626 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.626 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.628 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.628 * [backup-simplify]: Simplify (+ 0 0) into 0 4.631 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 4.631 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 4.633 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.633 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow (pow im 2) 1/8))))) into 0 4.634 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0 4.634 * [taylor]: Taking taylor expansion of 0 in im 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.637 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 4.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0 4.637 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.638 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.642 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.642 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 4.643 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0 4.644 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) 4.645 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) 4.645 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0 4.645 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im 4.645 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im 4.645 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 4.645 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 4.645 * [taylor]: Taking taylor expansion of 1/8 in im 4.645 * [backup-simplify]: Simplify 1/8 into 1/8 4.645 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.645 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.645 * [taylor]: Taking taylor expansion of im in im 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 1 into 1 4.645 * [backup-simplify]: Simplify (* 1 1) into 1 4.645 * [backup-simplify]: Simplify (/ 1 1) into 1 4.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.646 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.646 * [taylor]: Taking taylor expansion of re in im 4.646 * [backup-simplify]: Simplify re into re 4.646 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.646 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.646 * [backup-simplify]: Simplify (+ 1 0) into 1 4.646 * [backup-simplify]: Simplify (log 1) into 0 4.647 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 4.647 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im)) 4.647 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 4.647 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 4.647 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 4.647 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.647 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.647 * [taylor]: Taking taylor expansion of 1/8 in re 4.647 * [backup-simplify]: Simplify 1/8 into 1/8 4.647 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.647 * [taylor]: Taking taylor expansion of im in re 4.647 * [backup-simplify]: Simplify im into im 4.647 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.647 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.647 * [taylor]: Taking taylor expansion of re in re 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.647 * [backup-simplify]: Simplify (* 1 1) into 1 4.648 * [backup-simplify]: Simplify (/ 1 1) into 1 4.648 * [backup-simplify]: Simplify (+ 0 1) into 1 4.648 * [backup-simplify]: Simplify (log 1) into 0 4.648 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.648 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 4.649 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.649 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 4.649 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 4.649 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.649 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.649 * [taylor]: Taking taylor expansion of 1/8 in re 4.649 * [backup-simplify]: Simplify 1/8 into 1/8 4.649 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.649 * [taylor]: Taking taylor expansion of im in re 4.649 * [backup-simplify]: Simplify im into im 4.649 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.649 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.649 * [taylor]: Taking taylor expansion of re in re 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 1 into 1 4.649 * [backup-simplify]: Simplify (* 1 1) into 1 4.649 * [backup-simplify]: Simplify (/ 1 1) into 1 4.650 * [backup-simplify]: Simplify (+ 0 1) into 1 4.650 * [backup-simplify]: Simplify (log 1) into 0 4.650 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.650 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 4.650 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.651 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 4.651 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 4.651 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 4.651 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 4.651 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 4.651 * [taylor]: Taking taylor expansion of 1/4 in im 4.651 * [backup-simplify]: Simplify 1/4 into 1/4 4.651 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 4.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 4.651 * [taylor]: Taking taylor expansion of (pow re 3) in im 4.651 * [taylor]: Taking taylor expansion of re in im 4.651 * [backup-simplify]: Simplify re into re 4.651 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.651 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 4.651 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 4.651 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 4.651 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 4.651 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 4.652 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 4.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (+ 0 0) into 0 4.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.654 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.654 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0 4.655 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.655 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 4.655 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0 4.655 * [taylor]: Taking taylor expansion of 0 in im 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.655 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 4.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 4.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 4.656 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 4.662 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.662 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.663 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.665 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 4.665 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.665 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2))) 4.666 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 4.667 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 4.668 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 4.668 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 4.668 * [taylor]: Taking taylor expansion of 3/8 in im 4.668 * [backup-simplify]: Simplify 3/8 into 3/8 4.668 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 4.668 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 4.668 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 4.668 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 4.668 * [taylor]: Taking taylor expansion of 1/4 in im 4.668 * [backup-simplify]: Simplify 1/4 into 1/4 4.668 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 4.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 4.668 * [taylor]: Taking taylor expansion of (pow re 3) in im 4.668 * [taylor]: Taking taylor expansion of re in im 4.668 * [backup-simplify]: Simplify re into re 4.668 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.668 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 4.668 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 4.668 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 4.668 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 4.669 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 4.669 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.669 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.669 * [taylor]: Taking taylor expansion of im in im 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [backup-simplify]: Simplify (* 1 1) into 1 4.669 * [backup-simplify]: Simplify (/ 1 1) into 1 4.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.671 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 4.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 4.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 4.672 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 4.673 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.673 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.674 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 4.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 4.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 4.676 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 4.677 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.677 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 4.678 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 4.678 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 4.678 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 4.678 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.679 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 4.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 4.681 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 4.681 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 4.682 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.684 * [backup-simplify]: Simplify (+ 0 0) into 0 4.686 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.686 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.687 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 4.689 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.689 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 4.690 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 4.690 * [taylor]: Taking taylor expansion of 0 in im 4.690 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4) 4.691 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) 4.691 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0 4.691 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im 4.691 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im 4.691 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 4.691 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 4.691 * [taylor]: Taking taylor expansion of 1/8 in im 4.691 * [backup-simplify]: Simplify 1/8 into 1/8 4.691 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.691 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.691 * [taylor]: Taking taylor expansion of im in im 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify 1 into 1 4.691 * [backup-simplify]: Simplify (* 1 1) into 1 4.691 * [backup-simplify]: Simplify (/ 1 1) into 1 4.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.692 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.692 * [taylor]: Taking taylor expansion of re in im 4.692 * [backup-simplify]: Simplify re into re 4.692 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.692 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.692 * [backup-simplify]: Simplify (+ 1 0) into 1 4.692 * [backup-simplify]: Simplify (log 1) into 0 4.693 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 4.693 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im)) 4.693 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 4.693 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 4.693 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 4.693 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.693 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.693 * [taylor]: Taking taylor expansion of 1/8 in re 4.693 * [backup-simplify]: Simplify 1/8 into 1/8 4.693 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.693 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.693 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.693 * [taylor]: Taking taylor expansion of im in re 4.693 * [backup-simplify]: Simplify im into im 4.693 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.693 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.693 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.693 * [taylor]: Taking taylor expansion of re in re 4.693 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify 1 into 1 4.693 * [backup-simplify]: Simplify (* 1 1) into 1 4.694 * [backup-simplify]: Simplify (/ 1 1) into 1 4.694 * [backup-simplify]: Simplify (+ 0 1) into 1 4.694 * [backup-simplify]: Simplify (log 1) into 0 4.694 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.695 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 4.695 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.695 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 4.695 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 4.695 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.695 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.695 * [taylor]: Taking taylor expansion of 1/8 in re 4.695 * [backup-simplify]: Simplify 1/8 into 1/8 4.695 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.695 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.695 * [taylor]: Taking taylor expansion of im in re 4.695 * [backup-simplify]: Simplify im into im 4.695 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.695 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.695 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.695 * [taylor]: Taking taylor expansion of re in re 4.695 * [backup-simplify]: Simplify 0 into 0 4.695 * [backup-simplify]: Simplify 1 into 1 4.695 * [backup-simplify]: Simplify (* 1 1) into 1 4.696 * [backup-simplify]: Simplify (/ 1 1) into 1 4.696 * [backup-simplify]: Simplify (+ 0 1) into 1 4.696 * [backup-simplify]: Simplify (log 1) into 0 4.696 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.696 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 4.697 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.697 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 4.697 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 4.697 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 4.697 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 4.697 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 4.697 * [taylor]: Taking taylor expansion of 1/4 in im 4.697 * [backup-simplify]: Simplify 1/4 into 1/4 4.697 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 4.697 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 4.697 * [taylor]: Taking taylor expansion of (pow re 3) in im 4.697 * [taylor]: Taking taylor expansion of re in im 4.697 * [backup-simplify]: Simplify re into re 4.697 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.697 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 4.697 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 4.697 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 4.697 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 4.698 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 4.698 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 4.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify (+ 0 0) into 0 4.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.700 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.700 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0 4.701 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.701 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 4.701 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0 4.701 * [taylor]: Taking taylor expansion of 0 in im 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.702 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 4.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 4.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 4.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 4.703 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.703 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.706 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 4.706 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.707 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2))) 4.707 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 4.708 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 4.709 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 4.709 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 4.709 * [taylor]: Taking taylor expansion of 3/8 in im 4.709 * [backup-simplify]: Simplify 3/8 into 3/8 4.709 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 4.709 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 4.709 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 4.709 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 4.709 * [taylor]: Taking taylor expansion of 1/4 in im 4.709 * [backup-simplify]: Simplify 1/4 into 1/4 4.709 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 4.709 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 4.709 * [taylor]: Taking taylor expansion of (pow re 3) in im 4.709 * [taylor]: Taking taylor expansion of re in im 4.709 * [backup-simplify]: Simplify re into re 4.709 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.709 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 4.709 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 4.710 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 4.710 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 4.710 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 4.710 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.710 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.710 * [taylor]: Taking taylor expansion of im in im 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (* 1 1) into 1 4.710 * [backup-simplify]: Simplify (/ 1 1) into 1 4.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.713 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.713 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 4.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 4.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 4.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 4.715 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.715 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.716 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 4.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 4.717 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 4.718 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 4.719 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.719 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 4.720 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 4.720 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 4.720 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.721 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 4.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 4.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 4.723 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 4.724 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.726 * [backup-simplify]: Simplify (+ 0 0) into 0 4.728 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.728 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.729 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 4.730 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.731 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 4.731 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 4.732 * [taylor]: Taking taylor expansion of 0 in im 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4) 4.732 * * * [progress]: simplifying candidates 4.733 * [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 (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (exp re)) (log (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (exp (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (* (cbrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (cbrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))) (cbrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (* (* (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re) (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (sqrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (sqrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (- (pow (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (+ (* re re) (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))) (- re) (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (* re re)) (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re) (- re) (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1/2 2) 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ (/ 1 2) 2) 2) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 1) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (log (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 3) (pow (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2)) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) (pow (pow re 3) 1/4) (pow (* -1 (pow re 3)) 1/4) 4.734 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (exp h1)) (log (- (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)) (exp (- (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)) (* (cbrt (- (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)) (cbrt (- (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1))) (cbrt (- (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)) (* (* (- (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1) (- (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)) (- (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)) (sqrt (- (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)) (sqrt (- (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1)) (- (pow (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) 3) (pow h1 3)) (+ (* (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (+ (* h1 h1) (* (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1))) (- h1) (- (* (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (* h1 h1)) (+ (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) h1) (- h1) (* (log (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (* (log (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (* h2 3) (* 1 3) (* (/ h2 2) 3) (* (/ 1 2) 3) (* (/ (/ h2 2) 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ (/ 1 2) 2) 2) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt 3)) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 1) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (log (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (exp (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (* (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))) 3) (pow (sqrt (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (- (* h1 h1) (* h0 h0))))) 3) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 3 2)) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 3 2)) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (+ (pow h0 h5) (* h4 (* (pow h1 2) (pow (/ 1 (pow h0 5)) h3)))) (pow (pow h1 3) h3) (pow (* -1 (pow h1 3)) h3) 5.649 * * * [progress]: adding candidates to table 6.130 * * [progress]: iteration 4 / 4 6.130 * * * [progress]: picking best candidate 6.152 * * * * [pick]: Picked # 6.152 * * * [progress]: localizing error 6.205 * * * [progress]: generating rewritten candidates 6.205 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1 1 1) 6.214 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1 1) 6.222 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1 1 1) 6.238 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1 1) 6.254 * * * [progress]: generating series expansions 6.254 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1 1 1) 6.254 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 6.254 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.254 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.254 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.254 * [taylor]: Taking taylor expansion of re in im 6.254 * [backup-simplify]: Simplify re into re 6.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.254 * [taylor]: Taking taylor expansion of im in im 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.254 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.254 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.254 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.254 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.255 * [backup-simplify]: Simplify (+ 0 0) into 0 6.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.255 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.255 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.255 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.255 * [taylor]: Taking taylor expansion of re in re 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 1 into 1 6.255 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.255 * [taylor]: Taking taylor expansion of im in re 6.255 * [backup-simplify]: Simplify im into im 6.255 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.255 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.255 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.256 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.256 * [backup-simplify]: Simplify (+ 0 0) into 0 6.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.256 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.256 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.256 * [taylor]: Taking taylor expansion of re in re 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 1 into 1 6.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.256 * [taylor]: Taking taylor expansion of im in re 6.256 * [backup-simplify]: Simplify im into im 6.256 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.256 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.256 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.256 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.257 * [backup-simplify]: Simplify (+ 0 0) into 0 6.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.257 * [taylor]: Taking taylor expansion of im in im 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [taylor]: Taking taylor expansion of 0 in im 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [backup-simplify]: Simplify (* 1 1) into 1 6.258 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.258 * [backup-simplify]: Simplify (+ 1 0) into 1 6.259 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.259 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.259 * [taylor]: Taking taylor expansion of 1/2 in im 6.259 * [backup-simplify]: Simplify 1/2 into 1/2 6.259 * [taylor]: Taking taylor expansion of im in im 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.261 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.261 * [backup-simplify]: Simplify (+ 0 0) into 0 6.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.261 * [taylor]: Taking taylor expansion of 0 in im 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.262 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.262 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.262 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.262 * [taylor]: Taking taylor expansion of im in im 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (* 1 1) into 1 6.263 * [backup-simplify]: Simplify (/ 1 1) into 1 6.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.263 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.263 * [taylor]: Taking taylor expansion of re in im 6.263 * [backup-simplify]: Simplify re into re 6.263 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.263 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.263 * [backup-simplify]: Simplify (+ 1 0) into 1 6.263 * [backup-simplify]: Simplify (sqrt 1) into 1 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.264 * [backup-simplify]: Simplify (+ 0 0) into 0 6.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.265 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.265 * [taylor]: Taking taylor expansion of im in re 6.265 * [backup-simplify]: Simplify im into im 6.265 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.265 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.265 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.265 * [taylor]: Taking taylor expansion of re in re 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (* 1 1) into 1 6.266 * [backup-simplify]: Simplify (/ 1 1) into 1 6.266 * [backup-simplify]: Simplify (+ 0 1) into 1 6.266 * [backup-simplify]: Simplify (sqrt 1) into 1 6.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.267 * [backup-simplify]: Simplify (+ 0 0) into 0 6.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.268 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.268 * [taylor]: Taking taylor expansion of im in re 6.268 * [backup-simplify]: Simplify im into im 6.268 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.268 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.268 * [taylor]: Taking taylor expansion of re in re 6.268 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify (* 1 1) into 1 6.269 * [backup-simplify]: Simplify (/ 1 1) into 1 6.269 * [backup-simplify]: Simplify (+ 0 1) into 1 6.269 * [backup-simplify]: Simplify (sqrt 1) into 1 6.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.270 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.271 * [taylor]: Taking taylor expansion of 1 in im 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [taylor]: Taking taylor expansion of 0 in im 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.273 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.273 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.274 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.274 * [taylor]: Taking taylor expansion of 1/2 in im 6.274 * [backup-simplify]: Simplify 1/2 into 1/2 6.274 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.274 * [taylor]: Taking taylor expansion of im in im 6.274 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify 1 into 1 6.274 * [backup-simplify]: Simplify (* 1 1) into 1 6.274 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (+ 0 0) into 0 6.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.277 * [taylor]: Taking taylor expansion of 0 in im 6.277 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.280 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.280 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.280 * [taylor]: Taking taylor expansion of im in im 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify 1 into 1 6.280 * [backup-simplify]: Simplify (* 1 1) into 1 6.281 * [backup-simplify]: Simplify (/ 1 1) into 1 6.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.281 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.281 * [taylor]: Taking taylor expansion of re in im 6.281 * [backup-simplify]: Simplify re into re 6.281 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.281 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.282 * [backup-simplify]: Simplify (+ 1 0) into 1 6.282 * [backup-simplify]: Simplify (sqrt 1) into 1 6.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.284 * [backup-simplify]: Simplify (+ 0 0) into 0 6.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.285 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.285 * [taylor]: Taking taylor expansion of im in re 6.285 * [backup-simplify]: Simplify im into im 6.285 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.285 * [taylor]: Taking taylor expansion of re in re 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 1 into 1 6.285 * [backup-simplify]: Simplify (* 1 1) into 1 6.286 * [backup-simplify]: Simplify (/ 1 1) into 1 6.286 * [backup-simplify]: Simplify (+ 0 1) into 1 6.287 * [backup-simplify]: Simplify (sqrt 1) into 1 6.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.288 * [backup-simplify]: Simplify (+ 0 0) into 0 6.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.289 * [taylor]: Taking taylor expansion of im in re 6.289 * [backup-simplify]: Simplify im into im 6.289 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.289 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.289 * [taylor]: Taking taylor expansion of re in re 6.289 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify 1 into 1 6.290 * [backup-simplify]: Simplify (* 1 1) into 1 6.295 * [backup-simplify]: Simplify (/ 1 1) into 1 6.296 * [backup-simplify]: Simplify (+ 0 1) into 1 6.296 * [backup-simplify]: Simplify (sqrt 1) into 1 6.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.298 * [backup-simplify]: Simplify (+ 0 0) into 0 6.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.299 * [taylor]: Taking taylor expansion of 1 in im 6.299 * [backup-simplify]: Simplify 1 into 1 6.299 * [taylor]: Taking taylor expansion of 0 in im 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.301 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.302 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.302 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.302 * [taylor]: Taking taylor expansion of 1/2 in im 6.302 * [backup-simplify]: Simplify 1/2 into 1/2 6.302 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.302 * [taylor]: Taking taylor expansion of im in im 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 1 into 1 6.303 * [backup-simplify]: Simplify (* 1 1) into 1 6.303 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.307 * [backup-simplify]: Simplify (+ 0 0) into 0 6.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.308 * [taylor]: Taking taylor expansion of 0 in im 6.308 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.310 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1 1) 6.310 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 6.310 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.311 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.311 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.311 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.311 * [taylor]: Taking taylor expansion of re in im 6.311 * [backup-simplify]: Simplify re into re 6.311 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.311 * [taylor]: Taking taylor expansion of im in im 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.311 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.311 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.311 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.311 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.312 * [backup-simplify]: Simplify (+ 0 0) into 0 6.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.312 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.312 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.312 * [taylor]: Taking taylor expansion of re in re 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.312 * [taylor]: Taking taylor expansion of im in re 6.312 * [backup-simplify]: Simplify im into im 6.312 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.312 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.312 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.312 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.313 * [backup-simplify]: Simplify (+ 0 0) into 0 6.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.313 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.313 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.313 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.313 * [taylor]: Taking taylor expansion of re in re 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.313 * [taylor]: Taking taylor expansion of im in re 6.313 * [backup-simplify]: Simplify im into im 6.313 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.313 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.314 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.314 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.314 * [backup-simplify]: Simplify (+ 0 0) into 0 6.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.314 * [taylor]: Taking taylor expansion of im in im 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [taylor]: Taking taylor expansion of 0 in im 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.315 * [backup-simplify]: Simplify (* 1 1) into 1 6.315 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.316 * [backup-simplify]: Simplify (+ 1 0) into 1 6.316 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.316 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.317 * [taylor]: Taking taylor expansion of 1/2 in im 6.317 * [backup-simplify]: Simplify 1/2 into 1/2 6.317 * [taylor]: Taking taylor expansion of im in im 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify 1 into 1 6.317 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.318 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.319 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.320 * [backup-simplify]: Simplify (+ 0 0) into 0 6.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.320 * [taylor]: Taking taylor expansion of 0 in im 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.321 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.321 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.322 * [taylor]: Taking taylor expansion of im in im 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 1 into 1 6.322 * [backup-simplify]: Simplify (* 1 1) into 1 6.323 * [backup-simplify]: Simplify (/ 1 1) into 1 6.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.323 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.323 * [taylor]: Taking taylor expansion of re in im 6.323 * [backup-simplify]: Simplify re into re 6.323 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.323 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.323 * [backup-simplify]: Simplify (+ 1 0) into 1 6.324 * [backup-simplify]: Simplify (sqrt 1) into 1 6.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.325 * [backup-simplify]: Simplify (+ 0 0) into 0 6.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.326 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.326 * [taylor]: Taking taylor expansion of im in re 6.326 * [backup-simplify]: Simplify im into im 6.326 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.327 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.327 * [taylor]: Taking taylor expansion of re in re 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 1 into 1 6.327 * [backup-simplify]: Simplify (* 1 1) into 1 6.328 * [backup-simplify]: Simplify (/ 1 1) into 1 6.328 * [backup-simplify]: Simplify (+ 0 1) into 1 6.328 * [backup-simplify]: Simplify (sqrt 1) into 1 6.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.330 * [backup-simplify]: Simplify (+ 0 0) into 0 6.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.331 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.331 * [taylor]: Taking taylor expansion of im in re 6.331 * [backup-simplify]: Simplify im into im 6.331 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.332 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.332 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.332 * [taylor]: Taking taylor expansion of re in re 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify 1 into 1 6.332 * [backup-simplify]: Simplify (* 1 1) into 1 6.333 * [backup-simplify]: Simplify (/ 1 1) into 1 6.333 * [backup-simplify]: Simplify (+ 0 1) into 1 6.333 * [backup-simplify]: Simplify (sqrt 1) into 1 6.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.335 * [backup-simplify]: Simplify (+ 0 0) into 0 6.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.336 * [taylor]: Taking taylor expansion of 1 in im 6.336 * [backup-simplify]: Simplify 1 into 1 6.336 * [taylor]: Taking taylor expansion of 0 in im 6.336 * [backup-simplify]: Simplify 0 into 0 6.336 * [backup-simplify]: Simplify 1 into 1 6.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.338 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.339 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.339 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.339 * [taylor]: Taking taylor expansion of 1/2 in im 6.339 * [backup-simplify]: Simplify 1/2 into 1/2 6.339 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.339 * [taylor]: Taking taylor expansion of im in im 6.339 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify 1 into 1 6.340 * [backup-simplify]: Simplify (* 1 1) into 1 6.340 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.345 * [backup-simplify]: Simplify (+ 0 0) into 0 6.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.346 * [taylor]: Taking taylor expansion of 0 in im 6.346 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.348 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.348 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.348 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.348 * [taylor]: Taking taylor expansion of im in im 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 1 into 1 6.349 * [backup-simplify]: Simplify (* 1 1) into 1 6.349 * [backup-simplify]: Simplify (/ 1 1) into 1 6.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.349 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.349 * [taylor]: Taking taylor expansion of re in im 6.349 * [backup-simplify]: Simplify re into re 6.349 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.350 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.350 * [backup-simplify]: Simplify (+ 1 0) into 1 6.350 * [backup-simplify]: Simplify (sqrt 1) into 1 6.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.352 * [backup-simplify]: Simplify (+ 0 0) into 0 6.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.353 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.353 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.353 * [taylor]: Taking taylor expansion of im in re 6.353 * [backup-simplify]: Simplify im into im 6.353 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.353 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.353 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.353 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.353 * [taylor]: Taking taylor expansion of re in re 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 1 into 1 6.354 * [backup-simplify]: Simplify (* 1 1) into 1 6.354 * [backup-simplify]: Simplify (/ 1 1) into 1 6.355 * [backup-simplify]: Simplify (+ 0 1) into 1 6.355 * [backup-simplify]: Simplify (sqrt 1) into 1 6.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.357 * [backup-simplify]: Simplify (+ 0 0) into 0 6.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.358 * [taylor]: Taking taylor expansion of im in re 6.358 * [backup-simplify]: Simplify im into im 6.358 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.358 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.358 * [taylor]: Taking taylor expansion of re in re 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 1 into 1 6.359 * [backup-simplify]: Simplify (* 1 1) into 1 6.359 * [backup-simplify]: Simplify (/ 1 1) into 1 6.359 * [backup-simplify]: Simplify (+ 0 1) into 1 6.360 * [backup-simplify]: Simplify (sqrt 1) into 1 6.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.362 * [backup-simplify]: Simplify (+ 0 0) into 0 6.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.362 * [taylor]: Taking taylor expansion of 1 in im 6.363 * [backup-simplify]: Simplify 1 into 1 6.363 * [taylor]: Taking taylor expansion of 0 in im 6.363 * [backup-simplify]: Simplify 0 into 0 6.363 * [backup-simplify]: Simplify 1 into 1 6.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.366 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.366 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.366 * [taylor]: Taking taylor expansion of 1/2 in im 6.366 * [backup-simplify]: Simplify 1/2 into 1/2 6.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.366 * [taylor]: Taking taylor expansion of im in im 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 1 into 1 6.367 * [backup-simplify]: Simplify (* 1 1) into 1 6.367 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.372 * [backup-simplify]: Simplify (+ 0 0) into 0 6.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.373 * [taylor]: Taking taylor expansion of 0 in im 6.373 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.375 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1 1 1) 6.375 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 6.375 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.375 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.375 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.375 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.375 * [taylor]: Taking taylor expansion of re in im 6.376 * [backup-simplify]: Simplify re into re 6.376 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.376 * [taylor]: Taking taylor expansion of im in im 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.376 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.376 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.376 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.377 * [backup-simplify]: Simplify (+ 0 0) into 0 6.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.377 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.377 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.377 * [taylor]: Taking taylor expansion of re in re 6.377 * [backup-simplify]: Simplify 0 into 0 6.377 * [backup-simplify]: Simplify 1 into 1 6.377 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.377 * [taylor]: Taking taylor expansion of im in re 6.377 * [backup-simplify]: Simplify im into im 6.377 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.377 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.378 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.378 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.378 * [backup-simplify]: Simplify (+ 0 0) into 0 6.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.378 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.378 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.378 * [taylor]: Taking taylor expansion of re in re 6.378 * [backup-simplify]: Simplify 0 into 0 6.378 * [backup-simplify]: Simplify 1 into 1 6.378 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.378 * [taylor]: Taking taylor expansion of im in re 6.379 * [backup-simplify]: Simplify im into im 6.379 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.379 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.379 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.379 * [backup-simplify]: Simplify (+ 0 0) into 0 6.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.380 * [taylor]: Taking taylor expansion of im in im 6.380 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify 1 into 1 6.380 * [backup-simplify]: Simplify 0 into 0 6.380 * [taylor]: Taking taylor expansion of 0 in im 6.380 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify 1 into 1 6.380 * [backup-simplify]: Simplify (* 1 1) into 1 6.381 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.381 * [backup-simplify]: Simplify (+ 1 0) into 1 6.382 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.382 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.382 * [taylor]: Taking taylor expansion of 1/2 in im 6.382 * [backup-simplify]: Simplify 1/2 into 1/2 6.382 * [taylor]: Taking taylor expansion of im in im 6.382 * [backup-simplify]: Simplify 0 into 0 6.382 * [backup-simplify]: Simplify 1 into 1 6.383 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.385 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.385 * [backup-simplify]: Simplify (+ 0 0) into 0 6.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.386 * [taylor]: Taking taylor expansion of 0 in im 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.387 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.387 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.387 * [taylor]: Taking taylor expansion of im in im 6.387 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [backup-simplify]: Simplify (* 1 1) into 1 6.388 * [backup-simplify]: Simplify (/ 1 1) into 1 6.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.388 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.388 * [taylor]: Taking taylor expansion of re in im 6.388 * [backup-simplify]: Simplify re into re 6.389 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.389 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.389 * [backup-simplify]: Simplify (+ 1 0) into 1 6.390 * [backup-simplify]: Simplify (sqrt 1) into 1 6.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.391 * [backup-simplify]: Simplify (+ 0 0) into 0 6.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.392 * [taylor]: Taking taylor expansion of im in re 6.392 * [backup-simplify]: Simplify im into im 6.392 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.393 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.393 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.393 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.393 * [taylor]: Taking taylor expansion of re in re 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.393 * [backup-simplify]: Simplify (* 1 1) into 1 6.394 * [backup-simplify]: Simplify (/ 1 1) into 1 6.394 * [backup-simplify]: Simplify (+ 0 1) into 1 6.394 * [backup-simplify]: Simplify (sqrt 1) into 1 6.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.396 * [backup-simplify]: Simplify (+ 0 0) into 0 6.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.397 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.397 * [taylor]: Taking taylor expansion of im in re 6.397 * [backup-simplify]: Simplify im into im 6.397 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.397 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.397 * [taylor]: Taking taylor expansion of re in re 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify 1 into 1 6.398 * [backup-simplify]: Simplify (* 1 1) into 1 6.398 * [backup-simplify]: Simplify (/ 1 1) into 1 6.399 * [backup-simplify]: Simplify (+ 0 1) into 1 6.399 * [backup-simplify]: Simplify (sqrt 1) into 1 6.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.401 * [backup-simplify]: Simplify (+ 0 0) into 0 6.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.402 * [taylor]: Taking taylor expansion of 1 in im 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [taylor]: Taking taylor expansion of 0 in im 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.404 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.405 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.405 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.405 * [taylor]: Taking taylor expansion of 1/2 in im 6.405 * [backup-simplify]: Simplify 1/2 into 1/2 6.405 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.405 * [taylor]: Taking taylor expansion of im in im 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify 1 into 1 6.406 * [backup-simplify]: Simplify (* 1 1) into 1 6.406 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.411 * [backup-simplify]: Simplify (+ 0 0) into 0 6.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.411 * [taylor]: Taking taylor expansion of 0 in im 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.413 * [backup-simplify]: Simplify 0 into 0 6.413 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.414 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.414 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.414 * [taylor]: Taking taylor expansion of im in im 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify 1 into 1 6.415 * [backup-simplify]: Simplify (* 1 1) into 1 6.415 * [backup-simplify]: Simplify (/ 1 1) into 1 6.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.415 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.415 * [taylor]: Taking taylor expansion of re in im 6.415 * [backup-simplify]: Simplify re into re 6.415 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.416 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.416 * [backup-simplify]: Simplify (+ 1 0) into 1 6.416 * [backup-simplify]: Simplify (sqrt 1) into 1 6.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.418 * [backup-simplify]: Simplify (+ 0 0) into 0 6.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.419 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.419 * [taylor]: Taking taylor expansion of im in re 6.419 * [backup-simplify]: Simplify im into im 6.419 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.419 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.419 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.419 * [taylor]: Taking taylor expansion of re in re 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (* 1 1) into 1 6.420 * [backup-simplify]: Simplify (/ 1 1) into 1 6.421 * [backup-simplify]: Simplify (+ 0 1) into 1 6.421 * [backup-simplify]: Simplify (sqrt 1) into 1 6.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.423 * [backup-simplify]: Simplify (+ 0 0) into 0 6.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.424 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.424 * [taylor]: Taking taylor expansion of im in re 6.424 * [backup-simplify]: Simplify im into im 6.424 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.424 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.424 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.424 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.424 * [taylor]: Taking taylor expansion of re in re 6.424 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify 1 into 1 6.425 * [backup-simplify]: Simplify (* 1 1) into 1 6.425 * [backup-simplify]: Simplify (/ 1 1) into 1 6.426 * [backup-simplify]: Simplify (+ 0 1) into 1 6.426 * [backup-simplify]: Simplify (sqrt 1) into 1 6.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.428 * [backup-simplify]: Simplify (+ 0 0) into 0 6.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.429 * [taylor]: Taking taylor expansion of 1 in im 6.429 * [backup-simplify]: Simplify 1 into 1 6.429 * [taylor]: Taking taylor expansion of 0 in im 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 1 into 1 6.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.431 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.433 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.433 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.433 * [taylor]: Taking taylor expansion of 1/2 in im 6.433 * [backup-simplify]: Simplify 1/2 into 1/2 6.433 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.433 * [taylor]: Taking taylor expansion of im in im 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 1 into 1 6.433 * [backup-simplify]: Simplify (* 1 1) into 1 6.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.435 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.439 * [backup-simplify]: Simplify (+ 0 0) into 0 6.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.439 * [taylor]: Taking taylor expansion of 0 in im 6.439 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.441 * [backup-simplify]: Simplify 0 into 0 6.442 * [backup-simplify]: Simplify 0 into 0 6.442 * [backup-simplify]: Simplify 0 into 0 6.442 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.442 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1 1) 6.442 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 6.442 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.442 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.442 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.442 * [taylor]: Taking taylor expansion of re in im 6.442 * [backup-simplify]: Simplify re into re 6.442 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.442 * [taylor]: Taking taylor expansion of im in im 6.442 * [backup-simplify]: Simplify 0 into 0 6.442 * [backup-simplify]: Simplify 1 into 1 6.442 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.443 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.443 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.443 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.443 * [backup-simplify]: Simplify (+ 0 0) into 0 6.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.444 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.444 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.444 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.444 * [taylor]: Taking taylor expansion of re in re 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.444 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.444 * [taylor]: Taking taylor expansion of im in re 6.444 * [backup-simplify]: Simplify im into im 6.444 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.444 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.444 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.444 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.445 * [backup-simplify]: Simplify (+ 0 0) into 0 6.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.445 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.445 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.445 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.445 * [taylor]: Taking taylor expansion of re in re 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify 1 into 1 6.445 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.445 * [taylor]: Taking taylor expansion of im in re 6.445 * [backup-simplify]: Simplify im into im 6.445 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.446 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.446 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.446 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.446 * [backup-simplify]: Simplify (+ 0 0) into 0 6.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.446 * [taylor]: Taking taylor expansion of im in im 6.446 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify 1 into 1 6.447 * [backup-simplify]: Simplify 0 into 0 6.447 * [taylor]: Taking taylor expansion of 0 in im 6.447 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify 1 into 1 6.447 * [backup-simplify]: Simplify (* 1 1) into 1 6.447 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.448 * [backup-simplify]: Simplify (+ 1 0) into 1 6.449 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.449 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.449 * [taylor]: Taking taylor expansion of 1/2 in im 6.449 * [backup-simplify]: Simplify 1/2 into 1/2 6.449 * [taylor]: Taking taylor expansion of im in im 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.449 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.458 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.459 * [backup-simplify]: Simplify (+ 0 0) into 0 6.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.459 * [taylor]: Taking taylor expansion of 0 in im 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.460 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.461 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.461 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.461 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.461 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.461 * [taylor]: Taking taylor expansion of im in im 6.461 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify 1 into 1 6.461 * [backup-simplify]: Simplify (* 1 1) into 1 6.462 * [backup-simplify]: Simplify (/ 1 1) into 1 6.462 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.462 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.462 * [taylor]: Taking taylor expansion of re in im 6.462 * [backup-simplify]: Simplify re into re 6.462 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.462 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.463 * [backup-simplify]: Simplify (+ 1 0) into 1 6.463 * [backup-simplify]: Simplify (sqrt 1) into 1 6.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.465 * [backup-simplify]: Simplify (+ 0 0) into 0 6.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.466 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.466 * [taylor]: Taking taylor expansion of im in re 6.466 * [backup-simplify]: Simplify im into im 6.466 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.466 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.466 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.466 * [taylor]: Taking taylor expansion of re in re 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.467 * [backup-simplify]: Simplify (* 1 1) into 1 6.467 * [backup-simplify]: Simplify (/ 1 1) into 1 6.468 * [backup-simplify]: Simplify (+ 0 1) into 1 6.468 * [backup-simplify]: Simplify (sqrt 1) into 1 6.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.470 * [backup-simplify]: Simplify (+ 0 0) into 0 6.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.471 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.471 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.471 * [taylor]: Taking taylor expansion of im in re 6.471 * [backup-simplify]: Simplify im into im 6.471 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.471 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.471 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.471 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.471 * [taylor]: Taking taylor expansion of re in re 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 1 into 1 6.472 * [backup-simplify]: Simplify (* 1 1) into 1 6.472 * [backup-simplify]: Simplify (/ 1 1) into 1 6.472 * [backup-simplify]: Simplify (+ 0 1) into 1 6.473 * [backup-simplify]: Simplify (sqrt 1) into 1 6.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (+ 0 0) into 0 6.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.476 * [taylor]: Taking taylor expansion of 1 in im 6.476 * [backup-simplify]: Simplify 1 into 1 6.476 * [taylor]: Taking taylor expansion of 0 in im 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 1 into 1 6.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.478 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.480 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.480 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.480 * [taylor]: Taking taylor expansion of 1/2 in im 6.480 * [backup-simplify]: Simplify 1/2 into 1/2 6.480 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.480 * [taylor]: Taking taylor expansion of im in im 6.480 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify 1 into 1 6.480 * [backup-simplify]: Simplify (* 1 1) into 1 6.481 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.485 * [backup-simplify]: Simplify (+ 0 0) into 0 6.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.486 * [taylor]: Taking taylor expansion of 0 in im 6.486 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.489 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.489 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.490 * [taylor]: Taking taylor expansion of im in im 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify 1 into 1 6.490 * [backup-simplify]: Simplify (* 1 1) into 1 6.491 * [backup-simplify]: Simplify (/ 1 1) into 1 6.491 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.491 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.491 * [taylor]: Taking taylor expansion of re in im 6.491 * [backup-simplify]: Simplify re into re 6.491 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.491 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.492 * [backup-simplify]: Simplify (+ 1 0) into 1 6.492 * [backup-simplify]: Simplify (sqrt 1) into 1 6.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.494 * [backup-simplify]: Simplify (+ 0 0) into 0 6.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.495 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.495 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.495 * [taylor]: Taking taylor expansion of im in re 6.495 * [backup-simplify]: Simplify im into im 6.495 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.495 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.495 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.495 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.495 * [taylor]: Taking taylor expansion of re in re 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 1 into 1 6.496 * [backup-simplify]: Simplify (* 1 1) into 1 6.496 * [backup-simplify]: Simplify (/ 1 1) into 1 6.497 * [backup-simplify]: Simplify (+ 0 1) into 1 6.497 * [backup-simplify]: Simplify (sqrt 1) into 1 6.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.499 * [backup-simplify]: Simplify (+ 0 0) into 0 6.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.500 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.500 * [taylor]: Taking taylor expansion of im in re 6.500 * [backup-simplify]: Simplify im into im 6.500 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.500 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.500 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.500 * [taylor]: Taking taylor expansion of re in re 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.501 * [backup-simplify]: Simplify (* 1 1) into 1 6.501 * [backup-simplify]: Simplify (/ 1 1) into 1 6.501 * [backup-simplify]: Simplify (+ 0 1) into 1 6.502 * [backup-simplify]: Simplify (sqrt 1) into 1 6.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.504 * [backup-simplify]: Simplify (+ 0 0) into 0 6.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.505 * [taylor]: Taking taylor expansion of 1 in im 6.505 * [backup-simplify]: Simplify 1 into 1 6.505 * [taylor]: Taking taylor expansion of 0 in im 6.505 * [backup-simplify]: Simplify 0 into 0 6.505 * [backup-simplify]: Simplify 1 into 1 6.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.507 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.508 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.509 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.509 * [taylor]: Taking taylor expansion of 1/2 in im 6.509 * [backup-simplify]: Simplify 1/2 into 1/2 6.509 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.509 * [taylor]: Taking taylor expansion of im in im 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.509 * [backup-simplify]: Simplify (* 1 1) into 1 6.510 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (+ 0 0) into 0 6.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.515 * [taylor]: Taking taylor expansion of 0 in im 6.515 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.517 * * * [progress]: simplifying candidates 6.519 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 6.520 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) 9.098 * * * [progress]: adding candidates to table 9.831 * [progress]: [Phase 3 of 3] Extracting. 9.831 * * [regime]: Finding splitpoints for: (# # # # # # #) 9.838 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 9.839 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 9.880 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 9.916 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 10.021 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 10.080 * * * [regime]: Found split indices: #