0.626 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.170 * * * [progress]: [2/2] Setting up program. 0.211 * [progress]: [Phase 2 of 3] Improving. 0.215 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.217 * * [simplify]: Extracting # 0 : cost 0 0.217 * * [simplify]: Extracting # 1 : cost 0 0.217 * * [simplify]: Extracting # 2 : cost 0 0.217 * * [simplify]: Extracting # 3 : cost 0 0.218 * * [simplify]: Extracting # 4 : cost 0 0.218 * * [simplify]: Extracting # 5 : cost 0 0.218 * * [simplify]: Extracting # 6 : cost 0 0.218 * * [simplify]: Extracting # 7 : cost 0 0.218 * * [simplify]: Extracting # 8 : cost 0 0.218 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.341 * * [simplify]: Extracting # 0 : cost 0 0.342 * * [simplify]: Extracting # 1 : cost 0 0.342 * * [simplify]: Extracting # 2 : cost 0 0.342 * * [simplify]: iteration 1 : 17 enodes (cost 15 ) 0.350 * * [simplify]: Extracting # 0 : cost 0 0.350 * * [simplify]: Extracting # 1 : cost 0 0.350 * * [simplify]: Extracting # 2 : cost 0 0.350 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.361 * * [simplify]: Extracting # 0 : cost 0 0.361 * * [simplify]: Extracting # 1 : cost 0 0.361 * * [simplify]: Extracting # 2 : cost 0 0.361 * * [simplify]: iteration 3 : 30 enodes (cost 15 ) 0.372 * * [simplify]: Extracting # 0 : cost 0 0.373 * * [simplify]: Extracting # 1 : cost 0 0.373 * * [simplify]: Extracting # 2 : cost 0 0.373 * * [simplify]: iteration 4 : 35 enodes (cost 15 ) 0.385 * * [simplify]: Extracting # 0 : cost 0 0.385 * * [simplify]: iteration done: 35 enodes (cost 15 ) 0.385 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.389 * * [progress]: iteration 1 / 4 0.389 * * * [progress]: picking best candidate 0.394 * * * * [pick]: Picked # 0.394 * * * [progress]: localizing error 0.427 * * * [progress]: generating rewritten candidates 0.427 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.447 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.553 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.570 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.632 * * * [progress]: generating series expansions 0.633 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.641 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.641 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.643 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.643 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.643 * [taylor]: Taking taylor expansion of re in im 0.643 * [backup-simplify]: Simplify re into re 0.643 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.645 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.645 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.645 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.646 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.646 * [taylor]: Taking taylor expansion of re in re 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.647 * [backup-simplify]: Simplify im into im 0.647 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.647 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.647 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.647 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.648 * [backup-simplify]: Simplify (+ 0 0) into 0 0.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.648 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.648 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.648 * [backup-simplify]: Simplify im into im 0.648 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.648 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.648 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.649 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.657 * [taylor]: Taking taylor expansion of im in im 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [taylor]: Taking taylor expansion of 0 in im 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (* 1 1) into 1 0.659 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.659 * [backup-simplify]: Simplify (+ 1 0) into 1 0.660 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.660 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.660 * [taylor]: Taking taylor expansion of 1/2 in im 0.660 * [backup-simplify]: Simplify 1/2 into 1/2 0.660 * [taylor]: Taking taylor expansion of im in im 0.660 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.664 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.665 * [taylor]: Taking taylor expansion of 0 in im 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.666 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.666 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.667 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (* 1 1) into 1 0.668 * [backup-simplify]: Simplify (/ 1 1) into 1 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.668 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.668 * [taylor]: Taking taylor expansion of re in im 0.668 * [backup-simplify]: Simplify re into re 0.668 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.668 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.668 * [backup-simplify]: Simplify (+ 1 0) into 1 0.669 * [backup-simplify]: Simplify (sqrt 1) into 1 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.672 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.672 * [backup-simplify]: Simplify im into im 0.672 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.672 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.672 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.672 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (* 1 1) into 1 0.673 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [backup-simplify]: Simplify (+ 0 1) into 1 0.674 * [backup-simplify]: Simplify (sqrt 1) into 1 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.677 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.677 * [taylor]: Taking taylor expansion of im in re 0.677 * [backup-simplify]: Simplify im into im 0.677 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.677 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.677 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.677 * [taylor]: Taking taylor expansion of re in re 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (* 1 1) into 1 0.678 * [backup-simplify]: Simplify (/ 1 1) into 1 0.678 * [backup-simplify]: Simplify (+ 0 1) into 1 0.679 * [backup-simplify]: Simplify (sqrt 1) into 1 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (+ 0 0) into 0 0.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.681 * [taylor]: Taking taylor expansion of 1 in im 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of 0 in im 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.685 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.685 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.685 * [taylor]: Taking taylor expansion of 1/2 in im 0.685 * [backup-simplify]: Simplify 1/2 into 1/2 0.685 * [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 (* 1 1) into 1 0.686 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.692 * [taylor]: Taking taylor expansion of 0 in im 0.692 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.695 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.695 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.695 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.695 * [taylor]: Taking taylor expansion of im in im 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify (* 1 1) into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.696 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.696 * [taylor]: Taking taylor expansion of re in im 0.696 * [backup-simplify]: Simplify re into re 0.696 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.696 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.697 * [backup-simplify]: Simplify (+ 1 0) into 1 0.697 * [backup-simplify]: Simplify (sqrt 1) into 1 0.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.700 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.700 * [taylor]: Taking taylor expansion of im in re 0.700 * [backup-simplify]: Simplify im into im 0.700 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.700 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.700 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.700 * [taylor]: Taking taylor expansion of re in re 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (* 1 1) into 1 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.702 * [backup-simplify]: Simplify (+ 0 1) into 1 0.702 * [backup-simplify]: Simplify (sqrt 1) into 1 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.705 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.705 * [backup-simplify]: Simplify im into im 0.705 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.705 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.705 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (* 1 1) into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [backup-simplify]: Simplify (+ 0 1) into 1 0.707 * [backup-simplify]: Simplify (sqrt 1) into 1 0.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.709 * [taylor]: Taking taylor expansion of 1 in im 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [taylor]: Taking taylor expansion of 0 in im 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.713 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.713 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.713 * [taylor]: Taking taylor expansion of 1/2 in im 0.713 * [backup-simplify]: Simplify 1/2 into 1/2 0.713 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.713 * [taylor]: Taking taylor expansion of im in im 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (* 1 1) into 1 0.714 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.719 * [taylor]: Taking taylor expansion of 0 in im 0.719 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.721 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.722 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.722 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.722 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.722 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.722 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.722 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.722 * [taylor]: Taking taylor expansion of re in im 0.722 * [backup-simplify]: Simplify re into re 0.722 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.722 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.722 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.722 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.723 * [taylor]: Taking taylor expansion of re in im 0.723 * [backup-simplify]: Simplify re into re 0.723 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.723 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.723 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.723 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.723 * [taylor]: Taking taylor expansion of re in re 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.723 * [taylor]: Taking taylor expansion of im in re 0.723 * [backup-simplify]: Simplify im into im 0.724 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.724 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.724 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.724 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.725 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.725 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [backup-simplify]: Simplify im into im 0.725 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.725 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.725 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.725 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.726 * [taylor]: Taking taylor expansion of re in re 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (- 0) into 0 0.727 * [backup-simplify]: Simplify (+ im 0) into im 0.727 * [taylor]: Taking taylor expansion of im in im 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (- 1) into -1 0.728 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.728 * [taylor]: Taking taylor expansion of -1 in im 0.728 * [backup-simplify]: Simplify -1 into -1 0.728 * [backup-simplify]: Simplify -1 into -1 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.729 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.729 * [backup-simplify]: Simplify (+ 1 0) into 1 0.730 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.730 * [backup-simplify]: Simplify (- 0) into 0 0.731 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.731 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.731 * [taylor]: Taking taylor expansion of 1/2 in im 0.731 * [backup-simplify]: Simplify 1/2 into 1/2 0.731 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.731 * [taylor]: Taking taylor expansion of im in im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [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 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [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 0.736 * [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 0.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.740 * [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)) 0.740 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.740 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.740 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.740 * [taylor]: Taking taylor expansion of im in im 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (* 1 1) into 1 0.741 * [backup-simplify]: Simplify (/ 1 1) into 1 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.741 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.741 * [taylor]: Taking taylor expansion of re in im 0.741 * [backup-simplify]: Simplify re into re 0.742 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.742 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.742 * [backup-simplify]: Simplify (+ 1 0) into 1 0.743 * [backup-simplify]: Simplify (sqrt 1) into 1 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.745 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.745 * [taylor]: Taking taylor expansion of re in im 0.745 * [backup-simplify]: Simplify re into re 0.745 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.745 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.745 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.746 * [taylor]: Taking taylor expansion of im in re 0.746 * [backup-simplify]: Simplify im into im 0.746 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.746 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.746 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.746 * [taylor]: Taking taylor expansion of re in re 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [backup-simplify]: Simplify (* 1 1) into 1 0.747 * [backup-simplify]: Simplify (/ 1 1) into 1 0.747 * [backup-simplify]: Simplify (+ 0 1) into 1 0.747 * [backup-simplify]: Simplify (sqrt 1) into 1 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.749 * [taylor]: Taking taylor expansion of (/ 1 re) 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 0.749 * [backup-simplify]: Simplify (/ 1 1) into 1 0.749 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.750 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.750 * [backup-simplify]: Simplify im into im 0.750 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.750 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.750 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [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 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.753 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.753 * [taylor]: Taking taylor expansion of re in re 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (/ 1 1) into 1 0.753 * [backup-simplify]: Simplify (- 1) into -1 0.754 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.754 * [taylor]: Taking taylor expansion of 0 in im 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [taylor]: Taking taylor expansion of 0 in im 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.757 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (- 0) into 0 0.758 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.758 * [taylor]: Taking taylor expansion of 1/2 in im 0.758 * [backup-simplify]: Simplify 1/2 into 1/2 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.759 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (- 0) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [taylor]: Taking taylor expansion of 0 in im 0.764 * [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 (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [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))))) 0.766 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.766 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.766 * [taylor]: Taking taylor expansion of re in im 0.766 * [backup-simplify]: Simplify re into re 0.766 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.766 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.766 * [taylor]: Taking taylor expansion of im in im 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (* 1 1) into 1 0.766 * [backup-simplify]: Simplify (/ 1 1) into 1 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.766 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.766 * [taylor]: Taking taylor expansion of re in im 0.766 * [backup-simplify]: Simplify re into re 0.767 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.767 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.767 * [backup-simplify]: Simplify (+ 1 0) into 1 0.767 * [backup-simplify]: Simplify (sqrt 1) into 1 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.769 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.769 * [taylor]: Taking taylor expansion of re in re 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.769 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.769 * [taylor]: Taking taylor expansion of im in re 0.769 * [backup-simplify]: Simplify im into im 0.769 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.769 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.769 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.769 * [taylor]: Taking taylor expansion of re in re 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [backup-simplify]: Simplify (+ 0 1) into 1 0.770 * [backup-simplify]: Simplify (sqrt 1) into 1 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ 0 0) into 0 0.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.772 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.772 * [taylor]: Taking taylor expansion of re in re 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (/ 1 1) into 1 0.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.772 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.772 * [taylor]: Taking taylor expansion of im in re 0.772 * [backup-simplify]: Simplify im into im 0.772 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.773 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.773 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.773 * [taylor]: Taking taylor expansion of re in re 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (* 1 1) into 1 0.773 * [backup-simplify]: Simplify (/ 1 1) into 1 0.773 * [backup-simplify]: Simplify (+ 0 1) into 1 0.774 * [backup-simplify]: Simplify (sqrt 1) into 1 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.776 * [backup-simplify]: Simplify (+ 1 1) into 2 0.776 * [taylor]: Taking taylor expansion of 2 in im 0.776 * [backup-simplify]: Simplify 2 into 2 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [taylor]: Taking taylor expansion of 0 in im 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 2 into 2 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.780 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.780 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.780 * [taylor]: Taking taylor expansion of 1/2 in im 0.780 * [backup-simplify]: Simplify 1/2 into 1/2 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.781 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.781 * [taylor]: Taking taylor expansion of im in im 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (* 1 1) into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [taylor]: Taking taylor expansion of 0 in im 0.789 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.792 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.793 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.793 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.793 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.793 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.793 * [taylor]: Taking taylor expansion of re in im 0.793 * [backup-simplify]: Simplify re into re 0.793 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.793 * [taylor]: Taking taylor expansion of im in im 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.793 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.793 * [taylor]: Taking taylor expansion of im in re 0.793 * [backup-simplify]: Simplify im into im 0.793 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.793 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.794 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.794 * [taylor]: Taking taylor expansion of im in re 0.794 * [backup-simplify]: Simplify im into im 0.794 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.794 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.794 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.794 * [taylor]: Taking taylor expansion of im in im 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [taylor]: Taking taylor expansion of 0 in im 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify (* 1 1) into 1 0.803 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.803 * [backup-simplify]: Simplify (+ 1 0) into 1 0.803 * [taylor]: Taking taylor expansion of 1 in im 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (* 1 1) into 1 0.803 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.804 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [taylor]: Taking taylor expansion of 0 in im 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.807 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [taylor]: Taking taylor expansion of 0 in im 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.808 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.808 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.808 * [taylor]: Taking taylor expansion of im in im 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (* 1 1) into 1 0.808 * [backup-simplify]: Simplify (/ 1 1) into 1 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.808 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.808 * [taylor]: Taking taylor expansion of re in im 0.808 * [backup-simplify]: Simplify re into re 0.808 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.808 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.809 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.809 * [taylor]: Taking taylor expansion of im in re 0.809 * [backup-simplify]: Simplify im into im 0.809 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.809 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.809 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (* 1 1) into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.809 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.809 * [taylor]: Taking taylor expansion of im in re 0.809 * [backup-simplify]: Simplify im into im 0.809 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.810 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.810 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (* 1 1) into 1 0.810 * [backup-simplify]: Simplify (/ 1 1) into 1 0.810 * [backup-simplify]: Simplify (+ 0 1) into 1 0.810 * [taylor]: Taking taylor expansion of 1 in im 0.810 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.812 * [taylor]: Taking taylor expansion of 0 in im 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [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)) 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.813 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.813 * [taylor]: Taking taylor expansion of im in im 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (* 1 1) into 1 0.813 * [backup-simplify]: Simplify (/ 1 1) into 1 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.815 * [taylor]: Taking taylor expansion of 0 in im 0.815 * [backup-simplify]: Simplify 0 into 0 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 0 into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [taylor]: Taking taylor expansion of 0 in im 0.818 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.820 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.820 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (* 1 1) into 1 0.820 * [backup-simplify]: Simplify (/ 1 1) into 1 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.820 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.820 * [taylor]: Taking taylor expansion of re in im 0.820 * [backup-simplify]: Simplify re into re 0.820 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.821 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.821 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.821 * [taylor]: Taking taylor expansion of im in re 0.821 * [backup-simplify]: Simplify im into im 0.821 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.821 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.821 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (* 1 1) into 1 0.821 * [backup-simplify]: Simplify (/ 1 1) into 1 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.821 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.821 * [taylor]: Taking taylor expansion of im in re 0.821 * [backup-simplify]: Simplify im into im 0.822 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.822 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.822 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.822 * [taylor]: Taking taylor expansion of re in re 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (* 1 1) into 1 0.822 * [backup-simplify]: Simplify (/ 1 1) into 1 0.822 * [backup-simplify]: Simplify (+ 0 1) into 1 0.823 * [taylor]: Taking taylor expansion of 1 in im 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [taylor]: Taking taylor expansion of 0 in im 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.825 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.825 * [taylor]: Taking taylor expansion of im in im 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (* 1 1) into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.827 * [taylor]: Taking taylor expansion of 0 in im 0.827 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [taylor]: Taking taylor expansion of 0 in im 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.833 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.833 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 0.833 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.833 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.833 * [taylor]: Taking taylor expansion of 2.0 in im 0.833 * [backup-simplify]: Simplify 2.0 into 2.0 0.833 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.834 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.834 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.834 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.834 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.834 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.834 * [taylor]: Taking taylor expansion of re in im 0.834 * [backup-simplify]: Simplify re into re 0.834 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.834 * [taylor]: Taking taylor expansion of im in im 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.834 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.834 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.834 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.835 * [taylor]: Taking taylor expansion of re in im 0.835 * [backup-simplify]: Simplify re into re 0.835 * [backup-simplify]: Simplify (- re) into (- re) 0.835 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.835 * [backup-simplify]: Simplify (- 0) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.836 * [backup-simplify]: Simplify (* 1 1) into 1 0.837 * [backup-simplify]: Simplify (+ 0 1) into 1 0.838 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.838 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.838 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.839 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.841 * [backup-simplify]: Simplify (- 0) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.842 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.842 * [taylor]: Taking taylor expansion of 2.0 in re 0.842 * [backup-simplify]: Simplify 2.0 into 2.0 0.842 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.843 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.843 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.843 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.843 * [taylor]: Taking taylor expansion of re in re 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.843 * [taylor]: Taking taylor expansion of im in re 0.843 * [backup-simplify]: Simplify im into im 0.844 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.844 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.844 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.844 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.845 * [taylor]: Taking taylor expansion of re in re 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.845 * [backup-simplify]: Simplify (+ im 0) into im 0.845 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.846 * [backup-simplify]: Simplify (- 1) into -1 0.846 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.846 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.846 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.846 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.846 * [taylor]: Taking taylor expansion of 2.0 in re 0.846 * [backup-simplify]: Simplify 2.0 into 2.0 0.847 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.848 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.848 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.848 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.848 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.848 * [taylor]: Taking taylor expansion of re in re 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.848 * [taylor]: Taking taylor expansion of im in re 0.848 * [backup-simplify]: Simplify im into im 0.848 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.848 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.849 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.849 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.849 * [taylor]: Taking taylor expansion of re in re 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (- 0) into 0 0.850 * [backup-simplify]: Simplify (+ im 0) into im 0.850 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.850 * [backup-simplify]: Simplify (- 1) into -1 0.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.851 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.852 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.852 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.852 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.852 * [taylor]: Taking taylor expansion of 2.0 in im 0.852 * [backup-simplify]: Simplify 2.0 into 2.0 0.852 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.853 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.854 * [taylor]: Taking taylor expansion of im in im 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (sqrt 0) into 0 0.856 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.859 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.861 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.862 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.862 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.862 * [taylor]: Taking taylor expansion of 1/2 in im 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.862 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.862 * [taylor]: Taking taylor expansion of 2.0 in im 0.862 * [backup-simplify]: Simplify 2.0 into 2.0 0.862 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.863 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.863 * [taylor]: Taking taylor expansion of im in im 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (/ 1 1) into 1 0.864 * [backup-simplify]: Simplify (sqrt 0) into 0 0.865 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.871 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.874 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.876 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.877 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.883 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.885 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.887 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.890 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.895 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.897 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.903 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0.903 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.903 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.903 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.903 * [taylor]: Taking taylor expansion of 2.0 in im 0.903 * [backup-simplify]: Simplify 2.0 into 2.0 0.904 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.905 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.905 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.905 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.905 * [taylor]: Taking taylor expansion of im in im 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.906 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.906 * [taylor]: Taking taylor expansion of re in im 0.906 * [backup-simplify]: Simplify re into re 0.906 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.906 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.907 * [backup-simplify]: Simplify (+ 1 0) into 1 0.907 * [backup-simplify]: Simplify (sqrt 1) into 1 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ 0 0) into 0 0.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.910 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.910 * [taylor]: Taking taylor expansion of re in im 0.910 * [backup-simplify]: Simplify re into re 0.910 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.910 * [backup-simplify]: Simplify (+ 1 0) into 1 0.911 * [backup-simplify]: Simplify (sqrt 0) into 0 0.912 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.912 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.912 * [taylor]: Taking taylor expansion of 2.0 in re 0.912 * [backup-simplify]: Simplify 2.0 into 2.0 0.913 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.914 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.914 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.914 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.914 * [taylor]: Taking taylor expansion of im in re 0.914 * [backup-simplify]: Simplify im into im 0.914 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.914 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.914 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.914 * [taylor]: Taking taylor expansion of re in re 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (* 1 1) into 1 0.915 * [backup-simplify]: Simplify (/ 1 1) into 1 0.916 * [backup-simplify]: Simplify (+ 0 1) into 1 0.916 * [backup-simplify]: Simplify (sqrt 1) into 1 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.919 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.919 * [taylor]: Taking taylor expansion of re in re 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [backup-simplify]: Simplify (- 1) into -1 0.920 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (- 0) into 0 0.922 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.925 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.928 * [backup-simplify]: Simplify (sqrt 0) into 0 0.928 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.928 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.928 * [taylor]: Taking taylor expansion of 2.0 in re 0.928 * [backup-simplify]: Simplify 2.0 into 2.0 0.929 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.930 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.930 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.930 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.930 * [taylor]: Taking taylor expansion of im in re 0.930 * [backup-simplify]: Simplify im into im 0.930 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.930 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.930 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.930 * [taylor]: Taking taylor expansion of re in re 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (* 1 1) into 1 0.931 * [backup-simplify]: Simplify (/ 1 1) into 1 0.931 * [backup-simplify]: Simplify (+ 0 1) into 1 0.932 * [backup-simplify]: Simplify (sqrt 1) into 1 0.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.934 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.934 * [taylor]: Taking taylor expansion of re in re 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (/ 1 1) into 1 0.935 * [backup-simplify]: Simplify (- 1) into -1 0.935 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (- 0) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.940 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.941 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.942 * [backup-simplify]: Simplify (sqrt 0) into 0 0.943 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.951 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.951 * [taylor]: Taking taylor expansion of 0 in im 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.953 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.953 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.953 * [taylor]: Taking taylor expansion of +nan.0 in im 0.953 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.953 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.953 * [taylor]: Taking taylor expansion of 2.0 in im 0.953 * [backup-simplify]: Simplify 2.0 into 2.0 0.953 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.954 * [taylor]: Taking taylor expansion of im in im 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.955 * [backup-simplify]: Simplify (* 1 1) into 1 0.955 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.958 * [backup-simplify]: Simplify (- 0) into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (+ 0 0) into 0 0.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (- 0) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.966 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.967 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.967 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.967 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.967 * [taylor]: Taking taylor expansion of +nan.0 in im 0.967 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.967 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.968 * [taylor]: Taking taylor expansion of 2.0 in im 0.968 * [backup-simplify]: Simplify 2.0 into 2.0 0.968 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.969 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.969 * [taylor]: Taking taylor expansion of im in im 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* 1 1) into 1 0.970 * [backup-simplify]: Simplify (* 1 1) into 1 0.971 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.972 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.984 * [backup-simplify]: Simplify (- 0) into 0 0.984 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.990 * [backup-simplify]: Simplify (- 0) into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (+ 0 0) into 0 0.996 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (- 0) into 0 0.997 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.999 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 1.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.002 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 1.002 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.002 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.002 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.002 * [taylor]: Taking taylor expansion of +nan.0 in im 1.002 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.002 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.002 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.002 * [taylor]: Taking taylor expansion of 2.0 in im 1.002 * [backup-simplify]: Simplify 2.0 into 2.0 1.003 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.003 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.003 * [taylor]: Taking taylor expansion of im in im 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (* 1 1) into 1 1.004 * [backup-simplify]: Simplify (* 1 1) into 1 1.004 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.005 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.005 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.005 * [taylor]: Taking taylor expansion of +nan.0 in im 1.005 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.005 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.005 * [taylor]: Taking taylor expansion of 2.0 in im 1.005 * [backup-simplify]: Simplify 2.0 into 2.0 1.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.005 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.005 * [taylor]: Taking taylor expansion of im in im 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.006 * [backup-simplify]: Simplify (* 1 1) into 1 1.006 * [backup-simplify]: Simplify (* 1 1) into 1 1.006 * [backup-simplify]: Simplify (* 1 1) into 1 1.007 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.007 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.014 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.016 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 1.029 * [backup-simplify]: Simplify (- 0) into 0 1.029 * [backup-simplify]: Simplify (+ 0 0) into 0 1.029 * [backup-simplify]: Simplify (- 0) into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 1.030 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 1.030 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.030 * [taylor]: Taking taylor expansion of 2.0 in im 1.030 * [backup-simplify]: Simplify 2.0 into 2.0 1.030 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.031 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.031 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.031 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.031 * [taylor]: Taking taylor expansion of re in im 1.031 * [backup-simplify]: Simplify re into re 1.031 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.031 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.031 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.031 * [taylor]: Taking taylor expansion of im in im 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [backup-simplify]: Simplify (* 1 1) into 1 1.031 * [backup-simplify]: Simplify (/ 1 1) into 1 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.031 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.031 * [taylor]: Taking taylor expansion of re in im 1.031 * [backup-simplify]: Simplify re into re 1.031 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.032 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.032 * [backup-simplify]: Simplify (+ 1 0) into 1 1.032 * [backup-simplify]: Simplify (sqrt 1) into 1 1.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.034 * [backup-simplify]: Simplify (+ 0 1) into 1 1.034 * [backup-simplify]: Simplify (sqrt 0) into 0 1.035 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.035 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.035 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.035 * [taylor]: Taking taylor expansion of 2.0 in re 1.035 * [backup-simplify]: Simplify 2.0 into 2.0 1.035 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.036 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.036 * [taylor]: Taking taylor expansion of re in re 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify (/ 1 1) into 1 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.036 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.036 * [taylor]: Taking taylor expansion of im in re 1.037 * [backup-simplify]: Simplify im into im 1.037 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.037 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.037 * [taylor]: Taking taylor expansion of re in re 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify (* 1 1) into 1 1.038 * [backup-simplify]: Simplify (/ 1 1) into 1 1.038 * [backup-simplify]: Simplify (+ 0 1) into 1 1.038 * [backup-simplify]: Simplify (sqrt 1) into 1 1.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.041 * [backup-simplify]: Simplify (+ 1 1) into 2 1.042 * [backup-simplify]: Simplify (sqrt 0) into 0 1.043 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.043 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.043 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.043 * [taylor]: Taking taylor expansion of 2.0 in re 1.043 * [backup-simplify]: Simplify 2.0 into 2.0 1.043 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.044 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.044 * [taylor]: Taking taylor expansion of re in re 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 1 into 1 1.045 * [backup-simplify]: Simplify (/ 1 1) into 1 1.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.045 * [taylor]: Taking taylor expansion of im in re 1.045 * [backup-simplify]: Simplify im into im 1.045 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.045 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.045 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.045 * [taylor]: Taking taylor expansion of re in re 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.046 * [backup-simplify]: Simplify (* 1 1) into 1 1.046 * [backup-simplify]: Simplify (/ 1 1) into 1 1.046 * [backup-simplify]: Simplify (+ 0 1) into 1 1.047 * [backup-simplify]: Simplify (sqrt 1) into 1 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.050 * [backup-simplify]: Simplify (+ 1 1) into 2 1.050 * [backup-simplify]: Simplify (sqrt 0) into 0 1.051 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.052 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.052 * [taylor]: Taking taylor expansion of 0 in im 1.052 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.055 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.055 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.055 * [taylor]: Taking taylor expansion of +nan.0 in im 1.055 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.055 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.055 * [taylor]: Taking taylor expansion of 2.0 in im 1.055 * [backup-simplify]: Simplify 2.0 into 2.0 1.055 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.061 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.062 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.064 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.065 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.065 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.065 * [taylor]: Taking taylor expansion of +nan.0 in im 1.065 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.065 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.065 * [taylor]: Taking taylor expansion of 2.0 in im 1.065 * [backup-simplify]: Simplify 2.0 into 2.0 1.065 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.067 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.068 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.070 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.070 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.074 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.074 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.084 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 1.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.088 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 1.088 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.088 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.088 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.088 * [taylor]: Taking taylor expansion of +nan.0 in im 1.088 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.088 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.088 * [taylor]: Taking taylor expansion of 2.0 in im 1.088 * [backup-simplify]: Simplify 2.0 into 2.0 1.088 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.089 * [taylor]: Taking taylor expansion of im in im 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (* 1 1) into 1 1.091 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.091 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.091 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.091 * [taylor]: Taking taylor expansion of +nan.0 in im 1.091 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.091 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.091 * [taylor]: Taking taylor expansion of 2.0 in im 1.091 * [backup-simplify]: Simplify 2.0 into 2.0 1.091 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.095 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.098 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.100 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.101 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.101 * [backup-simplify]: Simplify (- 0) into 0 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 1.109 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.111 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 1.111 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.111 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.112 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.112 * [taylor]: Taking taylor expansion of +nan.0 in im 1.112 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.112 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.112 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.112 * [taylor]: Taking taylor expansion of 2.0 in im 1.112 * [backup-simplify]: Simplify 2.0 into 2.0 1.112 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.113 * [taylor]: Taking taylor expansion of im in im 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [backup-simplify]: Simplify (* 1 1) into 1 1.114 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.114 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.114 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.114 * [taylor]: Taking taylor expansion of +nan.0 in im 1.114 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.114 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.114 * [taylor]: Taking taylor expansion of 2.0 in im 1.114 * [backup-simplify]: Simplify 2.0 into 2.0 1.115 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.118 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify (- 0) into 0 1.119 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.123 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.124 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.126 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.129 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.132 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.134 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.139 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 1.139 * * * [progress]: simplifying candidates 1.141 * [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) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 1.144 * * [simplify]: Extracting # 0 : cost 0 1.144 * * [simplify]: Extracting # 1 : cost 0 1.145 * * [simplify]: Extracting # 2 : cost 0 1.145 * * [simplify]: Extracting # 3 : cost 0 1.145 * * [simplify]: Extracting # 4 : cost 0 1.145 * * [simplify]: Extracting # 5 : cost 0 1.146 * * [simplify]: Extracting # 6 : cost 0 1.146 * * [simplify]: Extracting # 7 : cost 0 1.146 * * [simplify]: Extracting # 8 : cost 0 1.146 * * [simplify]: Extracting # 9 : cost 0 1.147 * * [simplify]: Extracting # 10 : cost 0 1.147 * * [simplify]: Extracting # 11 : cost 0 1.147 * * [simplify]: iteration 0 : 114 enodes (cost 942 ) 1.184 * * [simplify]: Extracting # 0 : cost 0 1.184 * * [simplify]: Extracting # 1 : cost 0 1.184 * * [simplify]: Extracting # 2 : cost 0 1.184 * * [simplify]: Extracting # 3 : cost 0 1.185 * * [simplify]: Extracting # 4 : cost 0 1.185 * * [simplify]: iteration 1 : 255 enodes (cost 828 ) 1.323 * * [simplify]: Extracting # 0 : cost 0 1.324 * * [simplify]: Extracting # 1 : cost 0 1.330 * * [simplify]: Extracting # 2 : cost 0 1.331 * * [simplify]: Extracting # 3 : cost 0 1.332 * * [simplify]: Extracting # 4 : cost 0 1.333 * * [simplify]: iteration 2 : 709 enodes (cost 752 ) 1.804 * * [simplify]: Extracting # 0 : cost 0 1.809 * * [simplify]: Extracting # 1 : cost 0 1.821 * * [simplify]: Extracting # 2 : cost 0 1.826 * * [simplify]: Extracting # 3 : cost 0 1.830 * * [simplify]: Extracting # 4 : cost 0 1.833 * * [simplify]: iteration 3 : 2136 enodes (cost 727 ) 3.311 * * [simplify]: Extracting # 0 : cost 0 3.323 * * [simplify]: Extracting # 1 : cost 0 3.329 * * [simplify]: Extracting # 2 : cost 0 3.335 * * [simplify]: Extracting # 3 : cost 0 3.340 * * [simplify]: Extracting # 4 : cost 0 3.346 * * [simplify]: iteration done: 5000 enodes (cost 721 ) 3.346 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re))) (- re) (* im im) (+ (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) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* im im) (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re)))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (- re) (- im re) 0 (* -2 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (* (* +nan.0 (sqrt 2.0)) (+ im (* (- im) (+ re im)))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 3.347 * * * [progress]: adding candidates to table 3.591 * * [progress]: iteration 2 / 4 3.591 * * * [progress]: picking best candidate 3.619 * * * * [pick]: Picked # 3.619 * * * [progress]: localizing error 3.637 * * * [progress]: generating rewritten candidates 3.637 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 3.649 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.665 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.745 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 3.828 * * * [progress]: generating series expansions 3.828 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 3.828 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.828 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.828 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.828 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.828 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.828 * [taylor]: Taking taylor expansion of re in im 3.828 * [backup-simplify]: Simplify re into re 3.828 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.828 * [taylor]: Taking taylor expansion of im in im 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.828 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.829 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.829 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.829 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.830 * [backup-simplify]: Simplify (+ 0 0) into 0 3.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.830 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.830 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.830 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.830 * [taylor]: Taking taylor expansion of re in re 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 1 into 1 3.830 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.830 * [taylor]: Taking taylor expansion of im in re 3.830 * [backup-simplify]: Simplify im into im 3.830 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.830 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.831 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.831 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.831 * [backup-simplify]: Simplify (+ 0 0) into 0 3.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.831 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.831 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.831 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.831 * [taylor]: Taking taylor expansion of re in re 3.831 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.832 * [taylor]: Taking taylor expansion of im in re 3.832 * [backup-simplify]: Simplify im into im 3.832 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.832 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.832 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.832 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.833 * [backup-simplify]: Simplify (+ 0 0) into 0 3.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.833 * [taylor]: Taking taylor expansion of im in im 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [taylor]: Taking taylor expansion of 0 in im 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (* 1 1) into 1 3.834 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.834 * [backup-simplify]: Simplify (+ 1 0) into 1 3.835 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.835 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.835 * [taylor]: Taking taylor expansion of 1/2 in im 3.835 * [backup-simplify]: Simplify 1/2 into 1/2 3.835 * [taylor]: Taking taylor expansion of im in im 3.835 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify 1 into 1 3.836 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.839 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.839 * [backup-simplify]: Simplify (+ 0 0) into 0 3.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.839 * [taylor]: Taking taylor expansion of 0 in im 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.840 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.841 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.841 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.841 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.841 * [taylor]: Taking taylor expansion of im in im 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (* 1 1) into 1 3.842 * [backup-simplify]: Simplify (/ 1 1) into 1 3.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.842 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.842 * [taylor]: Taking taylor expansion of re in im 3.842 * [backup-simplify]: Simplify re into re 3.842 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.842 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.843 * [backup-simplify]: Simplify (+ 1 0) into 1 3.843 * [backup-simplify]: Simplify (sqrt 1) into 1 3.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.845 * [backup-simplify]: Simplify (+ 0 0) into 0 3.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.846 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.846 * [taylor]: Taking taylor expansion of im in re 3.846 * [backup-simplify]: Simplify im into im 3.846 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.846 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.847 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.847 * [taylor]: Taking taylor expansion of re in re 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [backup-simplify]: Simplify (* 1 1) into 1 3.847 * [backup-simplify]: Simplify (/ 1 1) into 1 3.848 * [backup-simplify]: Simplify (+ 0 1) into 1 3.848 * [backup-simplify]: Simplify (sqrt 1) into 1 3.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.850 * [backup-simplify]: Simplify (+ 0 0) into 0 3.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.851 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.851 * [taylor]: Taking taylor expansion of im in re 3.851 * [backup-simplify]: Simplify im into im 3.851 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.851 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.851 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.851 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.851 * [taylor]: Taking taylor expansion of re in re 3.851 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (* 1 1) into 1 3.852 * [backup-simplify]: Simplify (/ 1 1) into 1 3.852 * [backup-simplify]: Simplify (+ 0 1) into 1 3.853 * [backup-simplify]: Simplify (sqrt 1) into 1 3.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (+ 0 0) into 0 3.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.855 * [taylor]: Taking taylor expansion of 1 in im 3.855 * [backup-simplify]: Simplify 1 into 1 3.855 * [taylor]: Taking taylor expansion of 0 in im 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify 1 into 1 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.859 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.859 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.859 * [taylor]: Taking taylor expansion of 1/2 in im 3.859 * [backup-simplify]: Simplify 1/2 into 1/2 3.859 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.859 * [taylor]: Taking taylor expansion of im in im 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (* 1 1) into 1 3.860 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (+ 0 0) into 0 3.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.865 * [taylor]: Taking taylor expansion of 0 in im 3.865 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.868 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.868 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.868 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.868 * [taylor]: Taking taylor expansion of im in im 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (* 1 1) into 1 3.869 * [backup-simplify]: Simplify (/ 1 1) into 1 3.869 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.869 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.869 * [taylor]: Taking taylor expansion of re in im 3.869 * [backup-simplify]: Simplify re into re 3.869 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.869 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.870 * [backup-simplify]: Simplify (+ 1 0) into 1 3.870 * [backup-simplify]: Simplify (sqrt 1) into 1 3.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.873 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.873 * [taylor]: Taking taylor expansion of im in re 3.873 * [backup-simplify]: Simplify im into im 3.873 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.873 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.873 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.873 * [taylor]: Taking taylor expansion of re in re 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (* 1 1) into 1 3.874 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [backup-simplify]: Simplify (+ 0 1) into 1 3.875 * [backup-simplify]: Simplify (sqrt 1) into 1 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (+ 0 0) into 0 3.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.878 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.878 * [taylor]: Taking taylor expansion of im in re 3.878 * [backup-simplify]: Simplify im into im 3.878 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.878 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.878 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.878 * [taylor]: Taking taylor expansion of re in re 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (* 1 1) into 1 3.879 * [backup-simplify]: Simplify (/ 1 1) into 1 3.880 * [backup-simplify]: Simplify (+ 0 1) into 1 3.880 * [backup-simplify]: Simplify (sqrt 1) into 1 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.883 * [taylor]: Taking taylor expansion of 1 in im 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [taylor]: Taking taylor expansion of 0 in im 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.886 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.886 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.886 * [taylor]: Taking taylor expansion of 1/2 in im 3.886 * [backup-simplify]: Simplify 1/2 into 1/2 3.886 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.886 * [taylor]: Taking taylor expansion of im in im 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify (* 1 1) into 1 3.887 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (+ 0 0) into 0 3.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.892 * [taylor]: Taking taylor expansion of 0 in im 3.892 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.895 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 3.895 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.895 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.895 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.895 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.895 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.895 * [taylor]: Taking taylor expansion of re in im 3.895 * [backup-simplify]: Simplify re into re 3.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.895 * [taylor]: Taking taylor expansion of im in im 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.896 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.896 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.896 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.896 * [backup-simplify]: Simplify (+ 0 0) into 0 3.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.896 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.896 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.896 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.897 * [taylor]: Taking taylor expansion of re in re 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.897 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.897 * [taylor]: Taking taylor expansion of im in re 3.897 * [backup-simplify]: Simplify im into im 3.897 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.897 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.897 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.897 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.898 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.898 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.898 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.898 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.898 * [taylor]: Taking taylor expansion of re in re 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.898 * [taylor]: Taking taylor expansion of im in re 3.898 * [backup-simplify]: Simplify im into im 3.898 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.898 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.898 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.898 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.899 * [taylor]: Taking taylor expansion of im in im 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [taylor]: Taking taylor expansion of 0 in im 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.900 * [backup-simplify]: Simplify (* 1 1) into 1 3.900 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.901 * [backup-simplify]: Simplify (+ 1 0) into 1 3.901 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.901 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.901 * [taylor]: Taking taylor expansion of 1/2 in im 3.901 * [backup-simplify]: Simplify 1/2 into 1/2 3.901 * [taylor]: Taking taylor expansion of im in im 3.902 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify 1 into 1 3.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.904 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.905 * [backup-simplify]: Simplify (+ 0 0) into 0 3.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.905 * [taylor]: Taking taylor expansion of 0 in im 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.907 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.907 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.907 * [taylor]: Taking taylor expansion of im in im 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (* 1 1) into 1 3.908 * [backup-simplify]: Simplify (/ 1 1) into 1 3.908 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.908 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.908 * [taylor]: Taking taylor expansion of re in im 3.908 * [backup-simplify]: Simplify re into re 3.908 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.908 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.908 * [backup-simplify]: Simplify (+ 1 0) into 1 3.909 * [backup-simplify]: Simplify (sqrt 1) into 1 3.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (+ 0 0) into 0 3.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.911 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.912 * [taylor]: Taking taylor expansion of im in re 3.912 * [backup-simplify]: Simplify im into im 3.912 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.912 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.912 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.912 * [taylor]: Taking taylor expansion of re in re 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (* 1 1) into 1 3.913 * [backup-simplify]: Simplify (/ 1 1) into 1 3.913 * [backup-simplify]: Simplify (+ 0 1) into 1 3.914 * [backup-simplify]: Simplify (sqrt 1) into 1 3.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.916 * [backup-simplify]: Simplify (+ 0 0) into 0 3.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.917 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.917 * [taylor]: Taking taylor expansion of im in re 3.917 * [backup-simplify]: Simplify im into im 3.917 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.917 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.917 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.917 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.917 * [taylor]: Taking taylor expansion of re in re 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (* 1 1) into 1 3.918 * [backup-simplify]: Simplify (/ 1 1) into 1 3.918 * [backup-simplify]: Simplify (+ 0 1) into 1 3.919 * [backup-simplify]: Simplify (sqrt 1) into 1 3.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.921 * [backup-simplify]: Simplify (+ 0 0) into 0 3.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.922 * [taylor]: Taking taylor expansion of 1 in im 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [taylor]: Taking taylor expansion of 0 in im 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.925 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.925 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.925 * [taylor]: Taking taylor expansion of 1/2 in im 3.925 * [backup-simplify]: Simplify 1/2 into 1/2 3.925 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.925 * [taylor]: Taking taylor expansion of im in im 3.925 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (* 1 1) into 1 3.926 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.931 * [backup-simplify]: Simplify (+ 0 0) into 0 3.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.932 * [taylor]: Taking taylor expansion of 0 in im 3.932 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.935 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.935 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.935 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.935 * [taylor]: Taking taylor expansion of im in im 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (* 1 1) into 1 3.936 * [backup-simplify]: Simplify (/ 1 1) into 1 3.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.936 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.936 * [taylor]: Taking taylor expansion of re in im 3.936 * [backup-simplify]: Simplify re into re 3.936 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.936 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.937 * [backup-simplify]: Simplify (+ 1 0) into 1 3.937 * [backup-simplify]: Simplify (sqrt 1) into 1 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify (+ 0 0) into 0 3.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.940 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.940 * [taylor]: Taking taylor expansion of im in re 3.940 * [backup-simplify]: Simplify im into im 3.940 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.940 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.940 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.940 * [taylor]: Taking taylor expansion of re in re 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.941 * [backup-simplify]: Simplify (* 1 1) into 1 3.941 * [backup-simplify]: Simplify (/ 1 1) into 1 3.941 * [backup-simplify]: Simplify (+ 0 1) into 1 3.942 * [backup-simplify]: Simplify (sqrt 1) into 1 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.943 * [backup-simplify]: Simplify (+ 0 0) into 0 3.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.944 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.944 * [taylor]: Taking taylor expansion of im in re 3.944 * [backup-simplify]: Simplify im into im 3.944 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.945 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.945 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.945 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.945 * [taylor]: Taking taylor expansion of re in re 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [backup-simplify]: Simplify (* 1 1) into 1 3.945 * [backup-simplify]: Simplify (/ 1 1) into 1 3.946 * [backup-simplify]: Simplify (+ 0 1) into 1 3.946 * [backup-simplify]: Simplify (sqrt 1) into 1 3.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify (+ 0 0) into 0 3.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.948 * [taylor]: Taking taylor expansion of 1 in im 3.948 * [backup-simplify]: Simplify 1 into 1 3.948 * [taylor]: Taking taylor expansion of 0 in im 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.950 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.950 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.950 * [taylor]: Taking taylor expansion of 1/2 in im 3.950 * [backup-simplify]: Simplify 1/2 into 1/2 3.950 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.950 * [taylor]: Taking taylor expansion of im in im 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.951 * [backup-simplify]: Simplify (* 1 1) into 1 3.951 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ 0 0) into 0 3.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.960 * [taylor]: Taking taylor expansion of 0 in im 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.961 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.961 * [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) 3.961 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 3.961 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 3.961 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.961 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.961 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.961 * [taylor]: Taking taylor expansion of re in im 3.961 * [backup-simplify]: Simplify re into re 3.961 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.961 * [taylor]: Taking taylor expansion of im in im 3.961 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.962 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.962 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.962 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.962 * [backup-simplify]: Simplify (+ 0 0) into 0 3.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.962 * [taylor]: Taking taylor expansion of re in im 3.962 * [backup-simplify]: Simplify re into re 3.962 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.962 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.962 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.962 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.962 * [taylor]: Taking taylor expansion of re in re 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.962 * [taylor]: Taking taylor expansion of im in re 3.962 * [backup-simplify]: Simplify im into im 3.962 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.963 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.963 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.963 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.963 * [backup-simplify]: Simplify (+ 0 0) into 0 3.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.963 * [taylor]: Taking taylor expansion of re in re 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.963 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.963 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.963 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.963 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.963 * [taylor]: Taking taylor expansion of re in re 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.963 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.963 * [taylor]: Taking taylor expansion of im in re 3.963 * [backup-simplify]: Simplify im into im 3.963 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.963 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.964 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.964 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.964 * [backup-simplify]: Simplify (+ 0 0) into 0 3.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.964 * [taylor]: Taking taylor expansion of re in re 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify (- 0) into 0 3.964 * [backup-simplify]: Simplify (+ im 0) into im 3.964 * [taylor]: Taking taylor expansion of im in im 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify (- 1) into -1 3.965 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.965 * [taylor]: Taking taylor expansion of -1 in im 3.965 * [backup-simplify]: Simplify -1 into -1 3.965 * [backup-simplify]: Simplify -1 into -1 3.965 * [backup-simplify]: Simplify 1 into 1 3.965 * [backup-simplify]: Simplify (* 1 1) into 1 3.966 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.966 * [backup-simplify]: Simplify (+ 1 0) into 1 3.966 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.967 * [backup-simplify]: Simplify (- 0) into 0 3.967 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.967 * [taylor]: Taking taylor expansion of 1/2 in im 3.967 * [backup-simplify]: Simplify 1/2 into 1/2 3.967 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.967 * [taylor]: Taking taylor expansion of im in im 3.967 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify 1 into 1 3.967 * [backup-simplify]: Simplify (/ 1 1) into 1 3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.969 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.969 * [backup-simplify]: Simplify (+ 0 0) into 0 3.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.969 * [backup-simplify]: Simplify (- 0) into 0 3.970 * [backup-simplify]: Simplify (+ 0 0) into 0 3.970 * [taylor]: Taking taylor expansion of 0 in im 3.970 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.972 * [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)) 3.972 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 3.972 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.972 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.972 * [taylor]: Taking taylor expansion of im in im 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.973 * [backup-simplify]: Simplify (* 1 1) into 1 3.973 * [backup-simplify]: Simplify (/ 1 1) into 1 3.973 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.973 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.973 * [taylor]: Taking taylor expansion of re in im 3.973 * [backup-simplify]: Simplify re into re 3.973 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.973 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.974 * [backup-simplify]: Simplify (+ 1 0) into 1 3.974 * [backup-simplify]: Simplify (sqrt 1) into 1 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (+ 0 0) into 0 3.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.975 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.975 * [taylor]: Taking taylor expansion of re in im 3.975 * [backup-simplify]: Simplify re into re 3.975 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.975 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.975 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.976 * [taylor]: Taking taylor expansion of im in re 3.976 * [backup-simplify]: Simplify im into im 3.976 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.976 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.976 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.976 * [taylor]: Taking taylor expansion of re in re 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (* 1 1) into 1 3.976 * [backup-simplify]: Simplify (/ 1 1) into 1 3.977 * [backup-simplify]: Simplify (+ 0 1) into 1 3.977 * [backup-simplify]: Simplify (sqrt 1) into 1 3.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ 0 0) into 0 3.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.978 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.978 * [taylor]: Taking taylor expansion of re in re 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.979 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.979 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.979 * [taylor]: Taking taylor expansion of im in re 3.979 * [backup-simplify]: Simplify im into im 3.979 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.979 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.979 * [taylor]: Taking taylor expansion of re in re 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (* 1 1) into 1 3.980 * [backup-simplify]: Simplify (/ 1 1) into 1 3.980 * [backup-simplify]: Simplify (+ 0 1) into 1 3.980 * [backup-simplify]: Simplify (sqrt 1) into 1 3.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.982 * [taylor]: Taking taylor expansion of re in re 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify 1 into 1 3.982 * [backup-simplify]: Simplify (/ 1 1) into 1 3.982 * [backup-simplify]: Simplify (- 1) into -1 3.982 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.982 * [taylor]: Taking taylor expansion of 0 in im 3.982 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify (- 0) into 0 3.983 * [backup-simplify]: Simplify (+ 0 0) into 0 3.983 * [taylor]: Taking taylor expansion of 0 in im 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.986 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.987 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (- 0) into 0 3.988 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.988 * [taylor]: Taking taylor expansion of 1/2 in im 3.989 * [backup-simplify]: Simplify 1/2 into 1/2 3.989 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.989 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.989 * [taylor]: Taking taylor expansion of im in im 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [backup-simplify]: Simplify (* 1 1) into 1 3.989 * [backup-simplify]: Simplify (/ 1 1) into 1 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.997 * [backup-simplify]: Simplify (- 0) into 0 3.998 * [backup-simplify]: Simplify (+ 0 0) into 0 3.998 * [taylor]: Taking taylor expansion of 0 in im 3.998 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 4.002 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 4.002 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 4.002 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.002 * [taylor]: Taking taylor expansion of re in im 4.002 * [backup-simplify]: Simplify re into re 4.002 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.002 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.002 * [taylor]: Taking taylor expansion of im in im 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.003 * [backup-simplify]: Simplify (* 1 1) into 1 4.003 * [backup-simplify]: Simplify (/ 1 1) into 1 4.003 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.003 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.003 * [taylor]: Taking taylor expansion of re in im 4.003 * [backup-simplify]: Simplify re into re 4.004 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.004 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.004 * [backup-simplify]: Simplify (+ 1 0) into 1 4.005 * [backup-simplify]: Simplify (sqrt 1) into 1 4.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (+ 0 0) into 0 4.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.007 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.007 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.007 * [taylor]: Taking taylor expansion of re in re 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (/ 1 1) into 1 4.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.008 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.008 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.008 * [taylor]: Taking taylor expansion of im in re 4.008 * [backup-simplify]: Simplify im into im 4.008 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.008 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.008 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.008 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.008 * [taylor]: Taking taylor expansion of re in re 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.009 * [backup-simplify]: Simplify (* 1 1) into 1 4.009 * [backup-simplify]: Simplify (/ 1 1) into 1 4.010 * [backup-simplify]: Simplify (+ 0 1) into 1 4.010 * [backup-simplify]: Simplify (sqrt 1) into 1 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.013 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.013 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.013 * [taylor]: Taking taylor expansion of re in re 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.013 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.013 * [taylor]: Taking taylor expansion of im in re 4.013 * [backup-simplify]: Simplify im into im 4.013 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.014 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.014 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.014 * [taylor]: Taking taylor expansion of re in re 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (* 1 1) into 1 4.015 * [backup-simplify]: Simplify (/ 1 1) into 1 4.015 * [backup-simplify]: Simplify (+ 0 1) into 1 4.015 * [backup-simplify]: Simplify (sqrt 1) into 1 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.018 * [backup-simplify]: Simplify (+ 1 1) into 2 4.018 * [taylor]: Taking taylor expansion of 2 in im 4.018 * [backup-simplify]: Simplify 2 into 2 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [taylor]: Taking taylor expansion of 0 in im 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify 2 into 2 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.024 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.025 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.025 * [taylor]: Taking taylor expansion of 1/2 in im 4.025 * [backup-simplify]: Simplify 1/2 into 1/2 4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.025 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.025 * [taylor]: Taking taylor expansion of im in im 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.033 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [taylor]: Taking taylor expansion of 0 in im 4.033 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 4.037 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 4.037 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 4.037 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 4.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 4.037 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.037 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.037 * [taylor]: Taking taylor expansion of re in im 4.037 * [backup-simplify]: Simplify re into re 4.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.037 * [taylor]: Taking taylor expansion of im in im 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.038 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.038 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.038 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.038 * [backup-simplify]: Simplify (+ 0 0) into 0 4.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.039 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.039 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.039 * [taylor]: Taking taylor expansion of re in re 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.039 * [taylor]: Taking taylor expansion of im in re 4.039 * [backup-simplify]: Simplify im into im 4.039 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.039 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.039 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.039 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.040 * [backup-simplify]: Simplify (+ 0 0) into 0 4.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.040 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.040 * [taylor]: Taking taylor expansion of re in re 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.040 * [taylor]: Taking taylor expansion of im in re 4.040 * [backup-simplify]: Simplify im into im 4.040 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.041 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.041 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.041 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.041 * [backup-simplify]: Simplify (+ 0 0) into 0 4.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.042 * [taylor]: Taking taylor expansion of im in im 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [taylor]: Taking taylor expansion of 0 in im 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (* 1 1) into 1 4.043 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.043 * [backup-simplify]: Simplify (+ 1 0) into 1 4.044 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.044 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.044 * [taylor]: Taking taylor expansion of 1/2 in im 4.044 * [backup-simplify]: Simplify 1/2 into 1/2 4.044 * [taylor]: Taking taylor expansion of im in im 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 1 into 1 4.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.047 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.048 * [backup-simplify]: Simplify (+ 0 0) into 0 4.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.048 * [taylor]: Taking taylor expansion of 0 in im 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.051 * [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)))) 4.051 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.051 * [taylor]: Taking taylor expansion of im in im 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify (* 1 1) into 1 4.052 * [backup-simplify]: Simplify (/ 1 1) into 1 4.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.052 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.052 * [taylor]: Taking taylor expansion of re in im 4.052 * [backup-simplify]: Simplify re into re 4.052 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.052 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.053 * [backup-simplify]: Simplify (+ 1 0) into 1 4.053 * [backup-simplify]: Simplify (sqrt 1) into 1 4.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.055 * [backup-simplify]: Simplify (+ 0 0) into 0 4.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.056 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.056 * [taylor]: Taking taylor expansion of im in re 4.056 * [backup-simplify]: Simplify im into im 4.056 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.056 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.056 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.056 * [taylor]: Taking taylor expansion of re in re 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.057 * [backup-simplify]: Simplify (* 1 1) into 1 4.057 * [backup-simplify]: Simplify (/ 1 1) into 1 4.058 * [backup-simplify]: Simplify (+ 0 1) into 1 4.058 * [backup-simplify]: Simplify (sqrt 1) into 1 4.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 0) into 0 4.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.061 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.061 * [taylor]: Taking taylor expansion of im in re 4.061 * [backup-simplify]: Simplify im into im 4.061 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.061 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.061 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.061 * [taylor]: Taking taylor expansion of re in re 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 1 into 1 4.062 * [backup-simplify]: Simplify (* 1 1) into 1 4.062 * [backup-simplify]: Simplify (/ 1 1) into 1 4.063 * [backup-simplify]: Simplify (+ 0 1) into 1 4.063 * [backup-simplify]: Simplify (sqrt 1) into 1 4.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.066 * [taylor]: Taking taylor expansion of 1 in im 4.066 * [backup-simplify]: Simplify 1 into 1 4.066 * [taylor]: Taking taylor expansion of 0 in im 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.068 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.069 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.069 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.070 * [taylor]: Taking taylor expansion of 1/2 in im 4.070 * [backup-simplify]: Simplify 1/2 into 1/2 4.070 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.070 * [taylor]: Taking taylor expansion of im in im 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (* 1 1) into 1 4.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (+ 0 0) into 0 4.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.076 * [taylor]: Taking taylor expansion of 0 in im 4.076 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.079 * [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)))) 4.079 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.080 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.080 * [taylor]: Taking taylor expansion of im in im 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.080 * [backup-simplify]: Simplify (* 1 1) into 1 4.080 * [backup-simplify]: Simplify (/ 1 1) into 1 4.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.081 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.081 * [taylor]: Taking taylor expansion of re in im 4.081 * [backup-simplify]: Simplify re into re 4.081 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.081 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.081 * [backup-simplify]: Simplify (+ 1 0) into 1 4.082 * [backup-simplify]: Simplify (sqrt 1) into 1 4.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify (+ 0 0) into 0 4.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.084 * [taylor]: Taking taylor expansion of im in re 4.084 * [backup-simplify]: Simplify im into im 4.085 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.085 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.085 * [taylor]: Taking taylor expansion of re in re 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (/ 1 1) into 1 4.086 * [backup-simplify]: Simplify (+ 0 1) into 1 4.086 * [backup-simplify]: Simplify (sqrt 1) into 1 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (+ 0 0) into 0 4.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.089 * [taylor]: Taking taylor expansion of im in re 4.089 * [backup-simplify]: Simplify im into im 4.089 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.090 * [taylor]: Taking taylor expansion of re in re 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (* 1 1) into 1 4.090 * [backup-simplify]: Simplify (/ 1 1) into 1 4.091 * [backup-simplify]: Simplify (+ 0 1) into 1 4.091 * [backup-simplify]: Simplify (sqrt 1) into 1 4.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (+ 0 0) into 0 4.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.094 * [taylor]: Taking taylor expansion of 1 in im 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [taylor]: Taking taylor expansion of 0 in im 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.098 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.098 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.098 * [taylor]: Taking taylor expansion of 1/2 in im 4.098 * [backup-simplify]: Simplify 1/2 into 1/2 4.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.098 * [taylor]: Taking taylor expansion of im in im 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (* 1 1) into 1 4.099 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (+ 0 0) into 0 4.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.110 * [taylor]: Taking taylor expansion of 0 in im 4.110 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.113 * * * [progress]: simplifying candidates 4.117 * [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) 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im))))) re)) (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- re) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re 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(sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) 4.125 * * [simplify]: Extracting # 0 : cost 0 4.125 * * [simplify]: Extracting # 1 : cost 0 4.125 * * [simplify]: Extracting # 2 : cost 0 4.126 * * [simplify]: Extracting # 3 : cost 0 4.126 * * [simplify]: Extracting # 4 : cost 0 4.126 * * [simplify]: Extracting # 5 : cost 0 4.127 * * [simplify]: Extracting # 6 : cost 0 4.127 * * [simplify]: Extracting # 7 : cost 0 4.128 * * [simplify]: iteration 0 : 138 enodes (cost 3069 ) 4.198 * * [simplify]: Extracting # 0 : cost 0 4.199 * * [simplify]: Extracting # 1 : cost 0 4.199 * * [simplify]: Extracting # 2 : cost 0 4.200 * * [simplify]: Extracting # 3 : cost 0 4.200 * * [simplify]: Extracting # 4 : cost 0 4.201 * * [simplify]: Extracting # 5 : cost 0 4.201 * * [simplify]: iteration 1 : 259 enodes (cost 1761 ) 4.317 * * [simplify]: Extracting # 0 : cost 0 4.318 * * [simplify]: Extracting # 1 : cost 0 4.320 * * [simplify]: Extracting # 2 : cost 0 4.321 * * [simplify]: Extracting # 3 : cost 0 4.322 * * [simplify]: Extracting # 4 : cost 0 4.324 * * [simplify]: Extracting # 5 : cost 0 4.325 * * [simplify]: iteration 2 : 665 enodes (cost 1607 ) 4.894 * * [simplify]: Extracting # 0 : cost 0 4.898 * * [simplify]: Extracting # 1 : cost 0 4.902 * * [simplify]: Extracting # 2 : cost 0 4.906 * * [simplify]: Extracting # 3 : cost 0 4.910 * * [simplify]: Extracting # 4 : cost 0 4.914 * * [simplify]: Extracting # 5 : cost 0 4.919 * * [simplify]: iteration 3 : 1934 enodes (cost 1548 ) 6.485 * * [simplify]: Extracting # 0 : cost 0 6.491 * * [simplify]: Extracting # 1 : cost 0 6.498 * * [simplify]: Extracting # 2 : cost 0 6.504 * * [simplify]: Extracting # 3 : cost 0 6.515 * * [simplify]: Extracting # 4 : cost 0 6.521 * * [simplify]: iteration done: 5000 enodes (cost 1507 ) 6.522 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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)))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (+ (+ re (sqrt (+ (* re re) (* im im)))) re)) (* im im)) (- re) (* im im) (+ re (sqrt (+ (* re re) (* im im)))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- re) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) (pow (sqrt (+ (* re re) (* im im))) 4) (+ (* re re) (* im im)) (pow (sqrt (+ (* re re) (* im im))) 4) 2 (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (+ (* re re) (* im im)) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (* (sqrt (sqrt (+ (pow im 6) (pow re 6)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im))))) (* (sqrt (sqrt (+ (pow im 6) (pow re 6)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 2 1/2 1 1/2 (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 5) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) im re (- re) im re (- re) (- im re) 0 (* -2 re) im re (- re) 6.523 * * * [progress]: adding candidates to table 7.003 * * [progress]: iteration 3 / 4 7.003 * * * [progress]: picking best candidate 7.037 * * * * [pick]: Picked # 7.038 * * * [progress]: localizing error 7.054 * * * [progress]: generating rewritten candidates 7.054 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2) 7.063 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 7.107 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1) 7.117 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 7.163 * * * [progress]: generating series expansions 7.163 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2) 7.163 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 7.163 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 7.163 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.163 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.163 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.163 * [taylor]: Taking taylor expansion of re in im 7.164 * [backup-simplify]: Simplify re into re 7.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.164 * [taylor]: Taking taylor expansion of im in im 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [backup-simplify]: Simplify 1 into 1 7.164 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.164 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.164 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.164 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.165 * [backup-simplify]: Simplify (+ 0 0) into 0 7.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.165 * [taylor]: Taking taylor expansion of re in re 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 1 into 1 7.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.165 * [taylor]: Taking taylor expansion of im in re 7.165 * [backup-simplify]: Simplify im into im 7.166 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.166 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.166 * [backup-simplify]: Simplify (+ 0 0) into 0 7.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.167 * [taylor]: Taking taylor expansion of re in re 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 1 into 1 7.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.167 * [taylor]: Taking taylor expansion of im in re 7.167 * [backup-simplify]: Simplify im into im 7.167 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.167 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.168 * [backup-simplify]: Simplify (+ 0 0) into 0 7.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.168 * [taylor]: Taking taylor expansion of im in im 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [taylor]: Taking taylor expansion of 0 in im 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.169 * [backup-simplify]: Simplify (* 1 1) into 1 7.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.170 * [backup-simplify]: Simplify (+ 1 0) into 1 7.171 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.171 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.171 * [taylor]: Taking taylor expansion of 1/2 in im 7.171 * [backup-simplify]: Simplify 1/2 into 1/2 7.171 * [taylor]: Taking taylor expansion of im in im 7.171 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify 1 into 1 7.171 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 0 into 0 7.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.174 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.175 * [backup-simplify]: Simplify (+ 0 0) into 0 7.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.175 * [taylor]: Taking taylor expansion of 0 in im 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.176 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.177 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.177 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.177 * [taylor]: Taking taylor expansion of im in im 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [backup-simplify]: Simplify (* 1 1) into 1 7.178 * [backup-simplify]: Simplify (/ 1 1) into 1 7.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.178 * [taylor]: Taking taylor expansion of re in im 7.178 * [backup-simplify]: Simplify re into re 7.178 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.178 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.179 * [backup-simplify]: Simplify (+ 1 0) into 1 7.179 * [backup-simplify]: Simplify (sqrt 1) into 1 7.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.181 * [backup-simplify]: Simplify (+ 0 0) into 0 7.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.182 * [taylor]: Taking taylor expansion of im in re 7.182 * [backup-simplify]: Simplify im into im 7.182 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.183 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.183 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.183 * [taylor]: Taking taylor expansion of re in re 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 1 into 1 7.183 * [backup-simplify]: Simplify (* 1 1) into 1 7.184 * [backup-simplify]: Simplify (/ 1 1) into 1 7.184 * [backup-simplify]: Simplify (+ 0 1) into 1 7.184 * [backup-simplify]: Simplify (sqrt 1) into 1 7.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.186 * [backup-simplify]: Simplify (+ 0 0) into 0 7.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.187 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.187 * [taylor]: Taking taylor expansion of im in re 7.187 * [backup-simplify]: Simplify im into im 7.187 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.188 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.188 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.188 * [taylor]: Taking taylor expansion of re in re 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 1 into 1 7.188 * [backup-simplify]: Simplify (* 1 1) into 1 7.189 * [backup-simplify]: Simplify (/ 1 1) into 1 7.189 * [backup-simplify]: Simplify (+ 0 1) into 1 7.189 * [backup-simplify]: Simplify (sqrt 1) into 1 7.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.191 * [backup-simplify]: Simplify (+ 0 0) into 0 7.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.192 * [taylor]: Taking taylor expansion of 1 in im 7.192 * [backup-simplify]: Simplify 1 into 1 7.192 * [taylor]: Taking taylor expansion of 0 in im 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify 1 into 1 7.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.194 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.196 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.196 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.196 * [taylor]: Taking taylor expansion of 1/2 in im 7.196 * [backup-simplify]: Simplify 1/2 into 1/2 7.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.196 * [taylor]: Taking taylor expansion of im in im 7.196 * [backup-simplify]: Simplify 0 into 0 7.196 * [backup-simplify]: Simplify 1 into 1 7.197 * [backup-simplify]: Simplify (* 1 1) into 1 7.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.199 * [backup-simplify]: Simplify 0 into 0 7.199 * [backup-simplify]: Simplify 0 into 0 7.199 * [backup-simplify]: Simplify 0 into 0 7.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.202 * [backup-simplify]: Simplify (+ 0 0) into 0 7.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.203 * [taylor]: Taking taylor expansion of 0 in im 7.203 * [backup-simplify]: Simplify 0 into 0 7.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.206 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.206 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.206 * [taylor]: Taking taylor expansion of im in im 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 1 into 1 7.207 * [backup-simplify]: Simplify (* 1 1) into 1 7.207 * [backup-simplify]: Simplify (/ 1 1) into 1 7.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.207 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.207 * [taylor]: Taking taylor expansion of re in im 7.207 * [backup-simplify]: Simplify re into re 7.207 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.208 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.208 * [backup-simplify]: Simplify (+ 1 0) into 1 7.208 * [backup-simplify]: Simplify (sqrt 1) into 1 7.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.210 * [backup-simplify]: Simplify (+ 0 0) into 0 7.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.211 * [taylor]: Taking taylor expansion of im in re 7.211 * [backup-simplify]: Simplify im into im 7.211 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.212 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.212 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.212 * [taylor]: Taking taylor expansion of re in re 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [backup-simplify]: Simplify (* 1 1) into 1 7.212 * [backup-simplify]: Simplify (/ 1 1) into 1 7.213 * [backup-simplify]: Simplify (+ 0 1) into 1 7.213 * [backup-simplify]: Simplify (sqrt 1) into 1 7.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.215 * [backup-simplify]: Simplify (+ 0 0) into 0 7.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.216 * [taylor]: Taking taylor expansion of im in re 7.216 * [backup-simplify]: Simplify im into im 7.216 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.216 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.216 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.216 * [taylor]: Taking taylor expansion of re in re 7.216 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify 1 into 1 7.217 * [backup-simplify]: Simplify (* 1 1) into 1 7.217 * [backup-simplify]: Simplify (/ 1 1) into 1 7.218 * [backup-simplify]: Simplify (+ 0 1) into 1 7.218 * [backup-simplify]: Simplify (sqrt 1) into 1 7.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.220 * [backup-simplify]: Simplify (+ 0 0) into 0 7.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.221 * [taylor]: Taking taylor expansion of 1 in im 7.221 * [backup-simplify]: Simplify 1 into 1 7.221 * [taylor]: Taking taylor expansion of 0 in im 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.223 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.224 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.224 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.224 * [taylor]: Taking taylor expansion of 1/2 in im 7.224 * [backup-simplify]: Simplify 1/2 into 1/2 7.224 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.224 * [taylor]: Taking taylor expansion of im in im 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify 1 into 1 7.225 * [backup-simplify]: Simplify (* 1 1) into 1 7.225 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.227 * [backup-simplify]: Simplify (+ 0 0) into 0 7.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.228 * [taylor]: Taking taylor expansion of 0 in im 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 7.230 * [backup-simplify]: Simplify (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 7.230 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 7.230 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 7.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.230 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.230 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.230 * [taylor]: Taking taylor expansion of re in im 7.230 * [backup-simplify]: Simplify re into re 7.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.230 * [taylor]: Taking taylor expansion of im in im 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 1 into 1 7.230 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.230 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.230 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.230 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.230 * [backup-simplify]: Simplify (+ 0 0) into 0 7.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.231 * [taylor]: Taking taylor expansion of re in im 7.231 * [backup-simplify]: Simplify re into re 7.231 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 7.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.231 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.231 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.231 * [taylor]: Taking taylor expansion of re in re 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify 1 into 1 7.231 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.231 * [taylor]: Taking taylor expansion of im in re 7.231 * [backup-simplify]: Simplify im into im 7.231 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.231 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.231 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.231 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.231 * [backup-simplify]: Simplify (+ 0 0) into 0 7.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.231 * [taylor]: Taking taylor expansion of re in re 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify 1 into 1 7.232 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 7.232 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.232 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.232 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.232 * [taylor]: Taking taylor expansion of re in re 7.232 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify 1 into 1 7.232 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.232 * [taylor]: Taking taylor expansion of im in re 7.232 * [backup-simplify]: Simplify im into im 7.232 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.232 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.232 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.232 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.232 * [backup-simplify]: Simplify (+ 0 0) into 0 7.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.232 * [taylor]: Taking taylor expansion of re in re 7.232 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify 1 into 1 7.233 * [backup-simplify]: Simplify (- 0) into 0 7.233 * [backup-simplify]: Simplify (+ im 0) into im 7.233 * [taylor]: Taking taylor expansion of im in im 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify 1 into 1 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify (- 1) into -1 7.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.233 * [taylor]: Taking taylor expansion of -1 in im 7.233 * [backup-simplify]: Simplify -1 into -1 7.233 * [backup-simplify]: Simplify -1 into -1 7.233 * [backup-simplify]: Simplify 1 into 1 7.234 * [backup-simplify]: Simplify (* 1 1) into 1 7.234 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.234 * [backup-simplify]: Simplify (+ 1 0) into 1 7.235 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.235 * [backup-simplify]: Simplify (- 0) into 0 7.235 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 7.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 7.235 * [taylor]: Taking taylor expansion of 1/2 in im 7.235 * [backup-simplify]: Simplify 1/2 into 1/2 7.235 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.235 * [taylor]: Taking taylor expansion of im in im 7.235 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify 1 into 1 7.235 * [backup-simplify]: Simplify (/ 1 1) into 1 7.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.241 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.241 * [backup-simplify]: Simplify (+ 0 0) into 0 7.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.242 * [backup-simplify]: Simplify (- 0) into 0 7.242 * [backup-simplify]: Simplify (+ 0 0) into 0 7.242 * [taylor]: Taking taylor expansion of 0 in im 7.242 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 7.244 * [backup-simplify]: Simplify (- (* (sqrt (sqrt 1)) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 7.244 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 7.244 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 7.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.244 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.244 * [taylor]: Taking taylor expansion of im in im 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify 1 into 1 7.244 * [backup-simplify]: Simplify (* 1 1) into 1 7.245 * [backup-simplify]: Simplify (/ 1 1) into 1 7.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.245 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.245 * [taylor]: Taking taylor expansion of re in im 7.245 * [backup-simplify]: Simplify re into re 7.245 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.245 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.245 * [backup-simplify]: Simplify (+ 1 0) into 1 7.245 * [backup-simplify]: Simplify (sqrt 1) into 1 7.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.246 * [backup-simplify]: Simplify (+ 0 0) into 0 7.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.247 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.247 * [taylor]: Taking taylor expansion of re in im 7.247 * [backup-simplify]: Simplify re into re 7.247 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.247 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.247 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.247 * [taylor]: Taking taylor expansion of im in re 7.247 * [backup-simplify]: Simplify im into im 7.247 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.247 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.247 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.247 * [taylor]: Taking taylor expansion of re in re 7.247 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify 1 into 1 7.248 * [backup-simplify]: Simplify (* 1 1) into 1 7.248 * [backup-simplify]: Simplify (/ 1 1) into 1 7.248 * [backup-simplify]: Simplify (+ 0 1) into 1 7.248 * [backup-simplify]: Simplify (sqrt 1) into 1 7.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (+ 0 0) into 0 7.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.250 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.250 * [taylor]: Taking taylor expansion of re in re 7.250 * [backup-simplify]: Simplify 0 into 0 7.250 * [backup-simplify]: Simplify 1 into 1 7.250 * [backup-simplify]: Simplify (/ 1 1) into 1 7.250 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.250 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.250 * [taylor]: Taking taylor expansion of im in re 7.250 * [backup-simplify]: Simplify im into im 7.250 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.251 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.251 * [taylor]: Taking taylor expansion of re in re 7.251 * [backup-simplify]: Simplify 0 into 0 7.251 * [backup-simplify]: Simplify 1 into 1 7.251 * [backup-simplify]: Simplify (* 1 1) into 1 7.251 * [backup-simplify]: Simplify (/ 1 1) into 1 7.251 * [backup-simplify]: Simplify (+ 0 1) into 1 7.252 * [backup-simplify]: Simplify (sqrt 1) into 1 7.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.253 * [backup-simplify]: Simplify (+ 0 0) into 0 7.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.253 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.253 * [taylor]: Taking taylor expansion of re in re 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify 1 into 1 7.253 * [backup-simplify]: Simplify (/ 1 1) into 1 7.254 * [backup-simplify]: Simplify (- 1) into -1 7.254 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.254 * [taylor]: Taking taylor expansion of 0 in im 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.255 * [backup-simplify]: Simplify (- 0) into 0 7.255 * [backup-simplify]: Simplify (+ 0 0) into 0 7.255 * [taylor]: Taking taylor expansion of 0 in im 7.255 * [backup-simplify]: Simplify 0 into 0 7.255 * [backup-simplify]: Simplify 0 into 0 7.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.258 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.259 * [backup-simplify]: Simplify (- 0) into 0 7.259 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.259 * [taylor]: Taking taylor expansion of 1/2 in im 7.260 * [backup-simplify]: Simplify 1/2 into 1/2 7.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.260 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.260 * [taylor]: Taking taylor expansion of im in im 7.260 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify 1 into 1 7.260 * [backup-simplify]: Simplify (* 1 1) into 1 7.260 * [backup-simplify]: Simplify (/ 1 1) into 1 7.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.266 * [backup-simplify]: Simplify (+ 0 0) into 0 7.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.268 * [backup-simplify]: Simplify (- 0) into 0 7.268 * [backup-simplify]: Simplify (+ 0 0) into 0 7.268 * [taylor]: Taking taylor expansion of 0 in im 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.269 * [backup-simplify]: Simplify 0 into 0 7.269 * [backup-simplify]: Simplify 0 into 0 7.269 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify (- (* (sqrt (sqrt 1)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 7.270 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 7.270 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.270 * [taylor]: Taking taylor expansion of re in im 7.270 * [backup-simplify]: Simplify re into re 7.270 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.270 * [taylor]: Taking taylor expansion of im in im 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 1 into 1 7.271 * [backup-simplify]: Simplify (* 1 1) into 1 7.271 * [backup-simplify]: Simplify (/ 1 1) into 1 7.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.271 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.271 * [taylor]: Taking taylor expansion of re in im 7.271 * [backup-simplify]: Simplify re into re 7.271 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.271 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.271 * [backup-simplify]: Simplify (+ 1 0) into 1 7.272 * [backup-simplify]: Simplify (sqrt 1) into 1 7.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.273 * [backup-simplify]: Simplify (+ 0 0) into 0 7.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.273 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.273 * [taylor]: Taking taylor expansion of re in re 7.273 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (/ 1 1) into 1 7.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.274 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.274 * [taylor]: Taking taylor expansion of im in re 7.274 * [backup-simplify]: Simplify im into im 7.274 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.274 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.274 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.274 * [taylor]: Taking taylor expansion of re in re 7.274 * [backup-simplify]: Simplify 0 into 0 7.274 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (* 1 1) into 1 7.274 * [backup-simplify]: Simplify (/ 1 1) into 1 7.275 * [backup-simplify]: Simplify (+ 0 1) into 1 7.275 * [backup-simplify]: Simplify (sqrt 1) into 1 7.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.276 * [backup-simplify]: Simplify (+ 0 0) into 0 7.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.276 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.276 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.276 * [taylor]: Taking taylor expansion of re in re 7.276 * [backup-simplify]: Simplify 0 into 0 7.276 * [backup-simplify]: Simplify 1 into 1 7.277 * [backup-simplify]: Simplify (/ 1 1) into 1 7.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.277 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.277 * [taylor]: Taking taylor expansion of im in re 7.277 * [backup-simplify]: Simplify im into im 7.277 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.277 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.277 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.277 * [taylor]: Taking taylor expansion of re in re 7.277 * [backup-simplify]: Simplify 0 into 0 7.277 * [backup-simplify]: Simplify 1 into 1 7.277 * [backup-simplify]: Simplify (* 1 1) into 1 7.278 * [backup-simplify]: Simplify (/ 1 1) into 1 7.278 * [backup-simplify]: Simplify (+ 0 1) into 1 7.278 * [backup-simplify]: Simplify (sqrt 1) into 1 7.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.279 * [backup-simplify]: Simplify (+ 0 0) into 0 7.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.280 * [backup-simplify]: Simplify (+ 1 1) into 2 7.280 * [taylor]: Taking taylor expansion of 2 in im 7.280 * [backup-simplify]: Simplify 2 into 2 7.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.280 * [backup-simplify]: Simplify (+ 0 0) into 0 7.281 * [taylor]: Taking taylor expansion of 0 in im 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 2 into 2 7.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.282 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.283 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.283 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 7.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.283 * [taylor]: Taking taylor expansion of 1/2 in im 7.283 * [backup-simplify]: Simplify 1/2 into 1/2 7.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.283 * [taylor]: Taking taylor expansion of im in im 7.283 * [backup-simplify]: Simplify 0 into 0 7.283 * [backup-simplify]: Simplify 1 into 1 7.284 * [backup-simplify]: Simplify (* 1 1) into 1 7.284 * [backup-simplify]: Simplify (/ 1 1) into 1 7.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.286 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.287 * [backup-simplify]: Simplify (+ 0 0) into 0 7.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.288 * [backup-simplify]: Simplify (+ 0 0) into 0 7.288 * [taylor]: Taking taylor expansion of 0 in im 7.288 * [backup-simplify]: Simplify 0 into 0 7.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 7.290 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1) 7.290 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 7.290 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 7.290 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.290 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.290 * [taylor]: Taking taylor expansion of re in im 7.290 * [backup-simplify]: Simplify re into re 7.290 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.290 * [taylor]: Taking taylor expansion of im in im 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 1 into 1 7.290 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.290 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.290 * [taylor]: Taking taylor expansion of re in re 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 1 into 1 7.290 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.290 * [taylor]: Taking taylor expansion of im in re 7.290 * [backup-simplify]: Simplify im into im 7.290 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.290 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.290 * [taylor]: Taking taylor expansion of re in re 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 1 into 1 7.290 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.290 * [taylor]: Taking taylor expansion of im in re 7.290 * [backup-simplify]: Simplify im into im 7.290 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.291 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.291 * [taylor]: Taking taylor expansion of im in im 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify 1 into 1 7.291 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.291 * [backup-simplify]: Simplify (+ 0 0) into 0 7.291 * [taylor]: Taking taylor expansion of 0 in im 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify (* 1 1) into 1 7.292 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.292 * [backup-simplify]: Simplify (+ 1 0) into 1 7.292 * [taylor]: Taking taylor expansion of 1 in im 7.292 * [backup-simplify]: Simplify 1 into 1 7.292 * [backup-simplify]: Simplify 1 into 1 7.292 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify (* 1 1) into 1 7.292 * [backup-simplify]: Simplify 1 into 1 7.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.293 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.293 * [backup-simplify]: Simplify (+ 0 0) into 0 7.293 * [taylor]: Taking taylor expansion of 0 in im 7.293 * [backup-simplify]: Simplify 0 into 0 7.293 * [backup-simplify]: Simplify 0 into 0 7.293 * [backup-simplify]: Simplify 0 into 0 7.293 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.294 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.295 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 7.295 * [backup-simplify]: Simplify (+ 0 0) into 0 7.295 * [taylor]: Taking taylor expansion of 0 in im 7.295 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 7.296 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 7.296 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 7.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.296 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.296 * [taylor]: Taking taylor expansion of im in im 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify 1 into 1 7.296 * [backup-simplify]: Simplify (* 1 1) into 1 7.296 * [backup-simplify]: Simplify (/ 1 1) into 1 7.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.297 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.297 * [taylor]: Taking taylor expansion of re in im 7.297 * [backup-simplify]: Simplify re into re 7.297 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.297 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.297 * [taylor]: Taking taylor expansion of im in re 7.297 * [backup-simplify]: Simplify im into im 7.297 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.297 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.297 * [taylor]: Taking taylor expansion of re in re 7.297 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify 1 into 1 7.297 * [backup-simplify]: Simplify (* 1 1) into 1 7.298 * [backup-simplify]: Simplify (/ 1 1) into 1 7.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.298 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.298 * [taylor]: Taking taylor expansion of im in re 7.298 * [backup-simplify]: Simplify im into im 7.298 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.298 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.298 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.298 * [taylor]: Taking taylor expansion of re in re 7.298 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify 1 into 1 7.298 * [backup-simplify]: Simplify (* 1 1) into 1 7.298 * [backup-simplify]: Simplify (/ 1 1) into 1 7.299 * [backup-simplify]: Simplify (+ 0 1) into 1 7.299 * [taylor]: Taking taylor expansion of 1 in im 7.299 * [backup-simplify]: Simplify 1 into 1 7.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.300 * [backup-simplify]: Simplify (+ 0 0) into 0 7.300 * [taylor]: Taking taylor expansion of 0 in im 7.300 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.301 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.301 * [taylor]: Taking taylor expansion of im in im 7.302 * [backup-simplify]: Simplify 0 into 0 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [backup-simplify]: Simplify (* 1 1) into 1 7.302 * [backup-simplify]: Simplify (/ 1 1) into 1 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.304 * [backup-simplify]: Simplify (+ 0 0) into 0 7.304 * [taylor]: Taking taylor expansion of 0 in im 7.304 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 7.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.309 * [backup-simplify]: Simplify (+ 0 0) into 0 7.309 * [taylor]: Taking taylor expansion of 0 in im 7.309 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.311 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 7.312 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 7.312 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 7.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.312 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.312 * [taylor]: Taking taylor expansion of im in im 7.312 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify 1 into 1 7.312 * [backup-simplify]: Simplify (* 1 1) into 1 7.313 * [backup-simplify]: Simplify (/ 1 1) into 1 7.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.313 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.313 * [taylor]: Taking taylor expansion of re in im 7.313 * [backup-simplify]: Simplify re into re 7.313 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.313 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.313 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.313 * [taylor]: Taking taylor expansion of im in re 7.313 * [backup-simplify]: Simplify im into im 7.313 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.314 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.314 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.314 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.314 * [taylor]: Taking taylor expansion of re in re 7.314 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify 1 into 1 7.314 * [backup-simplify]: Simplify (* 1 1) into 1 7.314 * [backup-simplify]: Simplify (/ 1 1) into 1 7.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.315 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.315 * [taylor]: Taking taylor expansion of im in re 7.315 * [backup-simplify]: Simplify im into im 7.315 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.315 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.315 * [taylor]: Taking taylor expansion of re in re 7.315 * [backup-simplify]: Simplify 0 into 0 7.315 * [backup-simplify]: Simplify 1 into 1 7.315 * [backup-simplify]: Simplify (* 1 1) into 1 7.316 * [backup-simplify]: Simplify (/ 1 1) into 1 7.316 * [backup-simplify]: Simplify (+ 0 1) into 1 7.316 * [taylor]: Taking taylor expansion of 1 in im 7.316 * [backup-simplify]: Simplify 1 into 1 7.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.318 * [backup-simplify]: Simplify (+ 0 0) into 0 7.318 * [taylor]: Taking taylor expansion of 0 in im 7.318 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.320 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.320 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.320 * [taylor]: Taking taylor expansion of im in im 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 1 into 1 7.321 * [backup-simplify]: Simplify (* 1 1) into 1 7.321 * [backup-simplify]: Simplify (/ 1 1) into 1 7.321 * [backup-simplify]: Simplify 1 into 1 7.321 * [backup-simplify]: Simplify 1 into 1 7.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.324 * [backup-simplify]: Simplify (+ 0 0) into 0 7.324 * [taylor]: Taking taylor expansion of 0 in im 7.324 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 7.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.329 * [backup-simplify]: Simplify (+ 0 0) into 0 7.329 * [taylor]: Taking taylor expansion of 0 in im 7.329 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 7.332 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 7.332 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 7.332 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 7.332 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 7.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.332 * [taylor]: Taking taylor expansion of 2.0 in im 7.332 * [backup-simplify]: Simplify 2.0 into 2.0 7.333 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.333 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 7.333 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 7.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.333 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.333 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.333 * [taylor]: Taking taylor expansion of re in im 7.333 * [backup-simplify]: Simplify re into re 7.333 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.333 * [taylor]: Taking taylor expansion of im in im 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 1 into 1 7.333 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.333 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.333 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.333 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.334 * [backup-simplify]: Simplify (+ 0 0) into 0 7.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.334 * [taylor]: Taking taylor expansion of re in im 7.334 * [backup-simplify]: Simplify re into re 7.334 * [backup-simplify]: Simplify (- re) into (- re) 7.334 * [backup-simplify]: Simplify (+ re (- re)) into 0 7.334 * [backup-simplify]: Simplify (- 0) into 0 7.334 * [backup-simplify]: Simplify (+ 0 0) into 0 7.335 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 7.335 * [backup-simplify]: Simplify (* 1 1) into 1 7.335 * [backup-simplify]: Simplify (+ 0 1) into 1 7.336 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 7.336 * [backup-simplify]: Simplify (- 0) into 0 7.336 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 7.336 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 7.337 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 7.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.337 * [backup-simplify]: Simplify (+ 0 0) into 0 7.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 7.337 * [backup-simplify]: Simplify (- 0) into 0 7.338 * [backup-simplify]: Simplify (+ 0 0) into 0 7.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 7.338 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 7.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.338 * [taylor]: Taking taylor expansion of 2.0 in re 7.338 * [backup-simplify]: Simplify 2.0 into 2.0 7.338 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.339 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 7.339 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 7.339 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.339 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.339 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.339 * [taylor]: Taking taylor expansion of re in re 7.339 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify 1 into 1 7.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.339 * [taylor]: Taking taylor expansion of im in re 7.339 * [backup-simplify]: Simplify im into im 7.339 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.339 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.339 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.339 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.339 * [backup-simplify]: Simplify (+ 0 0) into 0 7.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.340 * [taylor]: Taking taylor expansion of re in re 7.340 * [backup-simplify]: Simplify 0 into 0 7.340 * [backup-simplify]: Simplify 1 into 1 7.340 * [backup-simplify]: Simplify (- 0) into 0 7.340 * [backup-simplify]: Simplify (+ im 0) into im 7.340 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.340 * [backup-simplify]: Simplify (- 1) into -1 7.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.340 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 7.340 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 7.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.340 * [taylor]: Taking taylor expansion of 2.0 in re 7.341 * [backup-simplify]: Simplify 2.0 into 2.0 7.341 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.341 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 7.341 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 7.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.341 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.341 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.341 * [taylor]: Taking taylor expansion of re in re 7.341 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify 1 into 1 7.341 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.341 * [taylor]: Taking taylor expansion of im in re 7.341 * [backup-simplify]: Simplify im into im 7.341 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.342 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.342 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.342 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.342 * [backup-simplify]: Simplify (+ 0 0) into 0 7.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.342 * [taylor]: Taking taylor expansion of re in re 7.342 * [backup-simplify]: Simplify 0 into 0 7.342 * [backup-simplify]: Simplify 1 into 1 7.342 * [backup-simplify]: Simplify (- 0) into 0 7.342 * [backup-simplify]: Simplify (+ im 0) into im 7.342 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.343 * [backup-simplify]: Simplify (- 1) into -1 7.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.343 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 7.343 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 7.343 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 7.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.343 * [taylor]: Taking taylor expansion of 2.0 in im 7.343 * [backup-simplify]: Simplify 2.0 into 2.0 7.344 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.344 * [taylor]: Taking taylor expansion of (sqrt im) in im 7.344 * [taylor]: Taking taylor expansion of im in im 7.344 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify 1 into 1 7.344 * [backup-simplify]: Simplify (sqrt 0) into 0 7.345 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.347 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.347 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.348 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 7.348 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 7.348 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 7.348 * [taylor]: Taking taylor expansion of 1/2 in im 7.348 * [backup-simplify]: Simplify 1/2 into 1/2 7.348 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 7.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.348 * [taylor]: Taking taylor expansion of 2.0 in im 7.348 * [backup-simplify]: Simplify 2.0 into 2.0 7.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 7.349 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.349 * [taylor]: Taking taylor expansion of im in im 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 1 into 1 7.349 * [backup-simplify]: Simplify (/ 1 1) into 1 7.349 * [backup-simplify]: Simplify (sqrt 0) into 0 7.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.358 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.359 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.361 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 7.362 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.363 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.365 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 7.367 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.368 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.369 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.370 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.372 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 7.373 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.376 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 7.377 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 7.377 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 7.377 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 7.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.377 * [taylor]: Taking taylor expansion of 2.0 in im 7.377 * [backup-simplify]: Simplify 2.0 into 2.0 7.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.379 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 7.379 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 7.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.379 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.379 * [taylor]: Taking taylor expansion of im in im 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 1 into 1 7.379 * [backup-simplify]: Simplify (* 1 1) into 1 7.380 * [backup-simplify]: Simplify (/ 1 1) into 1 7.380 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.380 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.380 * [taylor]: Taking taylor expansion of re in im 7.380 * [backup-simplify]: Simplify re into re 7.380 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.380 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.381 * [backup-simplify]: Simplify (+ 1 0) into 1 7.381 * [backup-simplify]: Simplify (sqrt 1) into 1 7.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.383 * [backup-simplify]: Simplify (+ 0 0) into 0 7.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.384 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.384 * [taylor]: Taking taylor expansion of re in im 7.384 * [backup-simplify]: Simplify re into re 7.384 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.384 * [backup-simplify]: Simplify (+ 1 0) into 1 7.384 * [backup-simplify]: Simplify (sqrt 0) into 0 7.386 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.386 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 7.386 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.386 * [taylor]: Taking taylor expansion of 2.0 in re 7.386 * [backup-simplify]: Simplify 2.0 into 2.0 7.386 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.387 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 7.387 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.387 * [taylor]: Taking taylor expansion of im in re 7.387 * [backup-simplify]: Simplify im into im 7.387 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.388 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.388 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.388 * [taylor]: Taking taylor expansion of re in re 7.388 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify 1 into 1 7.388 * [backup-simplify]: Simplify (* 1 1) into 1 7.388 * [backup-simplify]: Simplify (/ 1 1) into 1 7.389 * [backup-simplify]: Simplify (+ 0 1) into 1 7.389 * [backup-simplify]: Simplify (sqrt 1) into 1 7.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.391 * [backup-simplify]: Simplify (+ 0 0) into 0 7.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.392 * [taylor]: Taking taylor expansion of re in re 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify 1 into 1 7.392 * [backup-simplify]: Simplify (/ 1 1) into 1 7.392 * [backup-simplify]: Simplify (- 1) into -1 7.392 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.393 * [backup-simplify]: Simplify (- 0) into 0 7.393 * [backup-simplify]: Simplify (+ 0 0) into 0 7.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.395 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (- 0) into 0 7.396 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.396 * [backup-simplify]: Simplify (sqrt 0) into 0 7.397 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 7.397 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 7.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.397 * [taylor]: Taking taylor expansion of 2.0 in re 7.397 * [backup-simplify]: Simplify 2.0 into 2.0 7.397 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.398 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 7.398 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.398 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.398 * [taylor]: Taking taylor expansion of im in re 7.398 * [backup-simplify]: Simplify im into im 7.398 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.398 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.398 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.398 * [taylor]: Taking taylor expansion of re in re 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify 1 into 1 7.398 * [backup-simplify]: Simplify (* 1 1) into 1 7.399 * [backup-simplify]: Simplify (/ 1 1) into 1 7.399 * [backup-simplify]: Simplify (+ 0 1) into 1 7.399 * [backup-simplify]: Simplify (sqrt 1) into 1 7.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.400 * [backup-simplify]: Simplify (+ 0 0) into 0 7.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.400 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.401 * [taylor]: Taking taylor expansion of re in re 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [backup-simplify]: Simplify (/ 1 1) into 1 7.401 * [backup-simplify]: Simplify (- 1) into -1 7.401 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.402 * [backup-simplify]: Simplify (- 0) into 0 7.402 * [backup-simplify]: Simplify (+ 0 0) into 0 7.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.403 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.404 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.405 * [backup-simplify]: Simplify (- 0) into 0 7.405 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.405 * [backup-simplify]: Simplify (sqrt 0) into 0 7.406 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 7.406 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.406 * [taylor]: Taking taylor expansion of 0 in im 7.406 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 7.407 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 7.407 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 7.407 * [taylor]: Taking taylor expansion of +nan.0 in im 7.407 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.407 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 7.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.407 * [taylor]: Taking taylor expansion of 2.0 in im 7.407 * [backup-simplify]: Simplify 2.0 into 2.0 7.407 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.408 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.408 * [taylor]: Taking taylor expansion of im in im 7.408 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify 1 into 1 7.408 * [backup-simplify]: Simplify (* 1 1) into 1 7.408 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.410 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.410 * [backup-simplify]: Simplify (- 0) into 0 7.410 * [backup-simplify]: Simplify 0 into 0 7.410 * [backup-simplify]: Simplify 0 into 0 7.410 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.412 * [backup-simplify]: Simplify (+ 0 0) into 0 7.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.413 * [backup-simplify]: Simplify (- 0) into 0 7.413 * [backup-simplify]: Simplify (+ 0 0) into 0 7.414 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 7.415 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.415 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 7.415 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 7.415 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 7.415 * [taylor]: Taking taylor expansion of +nan.0 in im 7.415 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.416 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 7.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.416 * [taylor]: Taking taylor expansion of 2.0 in im 7.416 * [backup-simplify]: Simplify 2.0 into 2.0 7.416 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.416 * [taylor]: Taking taylor expansion of (pow im 4) in im 7.416 * [taylor]: Taking taylor expansion of im in im 7.416 * [backup-simplify]: Simplify 0 into 0 7.416 * [backup-simplify]: Simplify 1 into 1 7.417 * [backup-simplify]: Simplify (* 1 1) into 1 7.417 * [backup-simplify]: Simplify (* 1 1) into 1 7.417 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.418 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.425 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 7.425 * [backup-simplify]: Simplify (- 0) into 0 7.425 * [backup-simplify]: Simplify 0 into 0 7.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.429 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.430 * [backup-simplify]: Simplify (- 0) into 0 7.430 * [backup-simplify]: Simplify 0 into 0 7.430 * [backup-simplify]: Simplify 0 into 0 7.430 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 7.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.434 * [backup-simplify]: Simplify (+ 0 0) into 0 7.435 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 7.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.436 * [backup-simplify]: Simplify (- 0) into 0 7.437 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 7.438 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 7.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.441 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 7.441 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 7.441 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 7.441 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 7.441 * [taylor]: Taking taylor expansion of +nan.0 in im 7.441 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.441 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 7.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.441 * [taylor]: Taking taylor expansion of 2.0 in im 7.441 * [backup-simplify]: Simplify 2.0 into 2.0 7.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.442 * [taylor]: Taking taylor expansion of (pow im 4) in im 7.442 * [taylor]: Taking taylor expansion of im in im 7.442 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify 1 into 1 7.443 * [backup-simplify]: Simplify (* 1 1) into 1 7.443 * [backup-simplify]: Simplify (* 1 1) into 1 7.444 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.444 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 7.444 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 7.444 * [taylor]: Taking taylor expansion of +nan.0 in im 7.444 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.444 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 7.444 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.445 * [taylor]: Taking taylor expansion of 2.0 in im 7.445 * [backup-simplify]: Simplify 2.0 into 2.0 7.445 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.446 * [taylor]: Taking taylor expansion of (pow im 6) in im 7.446 * [taylor]: Taking taylor expansion of im in im 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 1 into 1 7.446 * [backup-simplify]: Simplify (* 1 1) into 1 7.447 * [backup-simplify]: Simplify (* 1 1) into 1 7.447 * [backup-simplify]: Simplify (* 1 1) into 1 7.448 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.449 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.461 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 7.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.497 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 7.497 * [backup-simplify]: Simplify (- 0) into 0 7.497 * [backup-simplify]: Simplify (+ 0 0) into 0 7.498 * [backup-simplify]: Simplify (- 0) into 0 7.498 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 7.498 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 7.498 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 7.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.498 * [taylor]: Taking taylor expansion of 2.0 in im 7.498 * [backup-simplify]: Simplify 2.0 into 2.0 7.499 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 7.499 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.499 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.499 * [taylor]: Taking taylor expansion of re in im 7.499 * [backup-simplify]: Simplify re into re 7.499 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.499 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.499 * [taylor]: Taking taylor expansion of im in im 7.499 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify 1 into 1 7.500 * [backup-simplify]: Simplify (* 1 1) into 1 7.500 * [backup-simplify]: Simplify (/ 1 1) into 1 7.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.500 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.500 * [taylor]: Taking taylor expansion of re in im 7.500 * [backup-simplify]: Simplify re into re 7.500 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.500 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.500 * [backup-simplify]: Simplify (+ 1 0) into 1 7.501 * [backup-simplify]: Simplify (sqrt 1) into 1 7.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.502 * [backup-simplify]: Simplify (+ 0 0) into 0 7.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.502 * [backup-simplify]: Simplify (+ 0 1) into 1 7.503 * [backup-simplify]: Simplify (sqrt 0) into 0 7.503 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.503 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 7.504 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.504 * [taylor]: Taking taylor expansion of 2.0 in re 7.504 * [backup-simplify]: Simplify 2.0 into 2.0 7.504 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.504 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.504 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.504 * [taylor]: Taking taylor expansion of re in re 7.504 * [backup-simplify]: Simplify 0 into 0 7.504 * [backup-simplify]: Simplify 1 into 1 7.505 * [backup-simplify]: Simplify (/ 1 1) into 1 7.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.505 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.505 * [taylor]: Taking taylor expansion of im in re 7.505 * [backup-simplify]: Simplify im into im 7.505 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.505 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.505 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.505 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.505 * [taylor]: Taking taylor expansion of re in re 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [backup-simplify]: Simplify (* 1 1) into 1 7.505 * [backup-simplify]: Simplify (/ 1 1) into 1 7.506 * [backup-simplify]: Simplify (+ 0 1) into 1 7.506 * [backup-simplify]: Simplify (sqrt 1) into 1 7.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.507 * [backup-simplify]: Simplify (+ 0 0) into 0 7.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.508 * [backup-simplify]: Simplify (+ 1 1) into 2 7.508 * [backup-simplify]: Simplify (sqrt 0) into 0 7.509 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 7.509 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 7.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.509 * [taylor]: Taking taylor expansion of 2.0 in re 7.509 * [backup-simplify]: Simplify 2.0 into 2.0 7.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.509 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.509 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.509 * [taylor]: Taking taylor expansion of re in re 7.509 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify 1 into 1 7.510 * [backup-simplify]: Simplify (/ 1 1) into 1 7.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.510 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.510 * [taylor]: Taking taylor expansion of im in re 7.510 * [backup-simplify]: Simplify im into im 7.510 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.510 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.510 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.510 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.510 * [taylor]: Taking taylor expansion of re in re 7.510 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify 1 into 1 7.510 * [backup-simplify]: Simplify (* 1 1) into 1 7.511 * [backup-simplify]: Simplify (/ 1 1) into 1 7.511 * [backup-simplify]: Simplify (+ 0 1) into 1 7.511 * [backup-simplify]: Simplify (sqrt 1) into 1 7.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.512 * [backup-simplify]: Simplify (+ 0 0) into 0 7.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.513 * [backup-simplify]: Simplify (+ 1 1) into 2 7.513 * [backup-simplify]: Simplify (sqrt 0) into 0 7.514 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 7.514 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.514 * [taylor]: Taking taylor expansion of 0 in im 7.514 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.516 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 7.516 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.516 * [taylor]: Taking taylor expansion of +nan.0 in im 7.516 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.516 * [taylor]: Taking taylor expansion of 2.0 in im 7.516 * [backup-simplify]: Simplify 2.0 into 2.0 7.516 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.516 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.517 * [backup-simplify]: Simplify (+ 0 0) into 0 7.519 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.521 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 7.521 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 7.521 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.521 * [taylor]: Taking taylor expansion of +nan.0 in im 7.521 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.521 * [taylor]: Taking taylor expansion of 2.0 in im 7.521 * [backup-simplify]: Simplify 2.0 into 2.0 7.522 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.523 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.524 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.525 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.525 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.528 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.529 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.530 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 7.532 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 7.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.535 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 7.535 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 7.535 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 7.535 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 7.535 * [taylor]: Taking taylor expansion of +nan.0 in im 7.535 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.535 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 7.535 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.535 * [taylor]: Taking taylor expansion of 2.0 in im 7.535 * [backup-simplify]: Simplify 2.0 into 2.0 7.535 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.536 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.536 * [taylor]: Taking taylor expansion of im in im 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 1 into 1 7.537 * [backup-simplify]: Simplify (* 1 1) into 1 7.538 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.538 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 7.538 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.538 * [taylor]: Taking taylor expansion of +nan.0 in im 7.538 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.538 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.538 * [taylor]: Taking taylor expansion of 2.0 in im 7.538 * [backup-simplify]: Simplify 2.0 into 2.0 7.538 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.542 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.542 * [backup-simplify]: Simplify (+ 0 0) into 0 7.542 * [backup-simplify]: Simplify (- 0) into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.545 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.547 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.547 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.548 * [backup-simplify]: Simplify (- 0) into 0 7.548 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify 0 into 0 7.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.549 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.552 * [backup-simplify]: Simplify (+ 0 0) into 0 7.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.553 * [backup-simplify]: Simplify (+ 0 0) into 0 7.554 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.558 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 7.558 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 7.558 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 7.558 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 7.558 * [taylor]: Taking taylor expansion of +nan.0 in im 7.558 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.558 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 7.558 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.558 * [taylor]: Taking taylor expansion of 2.0 in im 7.558 * [backup-simplify]: Simplify 2.0 into 2.0 7.559 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.559 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.559 * [taylor]: Taking taylor expansion of im in im 7.559 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify 1 into 1 7.560 * [backup-simplify]: Simplify (* 1 1) into 1 7.561 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.561 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 7.561 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.561 * [taylor]: Taking taylor expansion of +nan.0 in im 7.561 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.561 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.561 * [taylor]: Taking taylor expansion of 2.0 in im 7.561 * [backup-simplify]: Simplify 2.0 into 2.0 7.562 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.565 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.565 * [backup-simplify]: Simplify (+ 0 0) into 0 7.565 * [backup-simplify]: Simplify (- 0) into 0 7.565 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.570 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.570 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.572 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.574 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.576 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.578 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.583 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 7.583 * * * [progress]: simplifying candidates 7.585 * [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 (sqrt 1)) (sqrt (+ (* re re) (* im im))))) (exp re)) (log (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)) (exp (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)) (* (cbrt (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)) (cbrt (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re))) (cbrt (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)) (* (* (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re) (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)) (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)) (sqrt (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)) (sqrt (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)) (- (pow (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re))) (- re) (- (* (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im))))) (* re re)) (+ (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re) (- re) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (log (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)))) (exp (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)))) (* (cbrt (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)))) (cbrt (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re))))) (cbrt (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)))) (* (* (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re))) (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)))) (sqrt 2.0) (sqrt (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)) (sqrt (* 2.0 (- (pow (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (* 2.0 (- (* (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im))))) (* re re)))) (sqrt (+ (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (sqrt (+ (* re re) (* im im)))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 7.587 * * [simplify]: Extracting # 0 : cost 0 7.588 * * [simplify]: Extracting # 1 : cost 0 7.588 * * [simplify]: Extracting # 2 : cost 0 7.588 * * [simplify]: Extracting # 3 : cost 0 7.588 * * [simplify]: Extracting # 4 : cost 0 7.589 * * [simplify]: Extracting # 5 : cost 0 7.589 * * [simplify]: Extracting # 6 : cost 0 7.589 * * [simplify]: Extracting # 7 : cost 0 7.590 * * [simplify]: Extracting # 8 : cost 0 7.590 * * [simplify]: Extracting # 9 : cost 0 7.590 * * [simplify]: Extracting # 10 : cost 0 7.590 * * [simplify]: Extracting # 11 : cost 0 7.591 * * [simplify]: Extracting # 12 : cost 0 7.591 * * [simplify]: iteration 0 : 115 enodes (cost 1028 ) 7.647 * * [simplify]: Extracting # 0 : cost 0 7.648 * * [simplify]: Extracting # 1 : cost 0 7.648 * * [simplify]: Extracting # 2 : cost 0 7.648 * * [simplify]: Extracting # 3 : cost 0 7.649 * * [simplify]: Extracting # 4 : cost 0 7.649 * * [simplify]: iteration 1 : 269 enodes (cost 846 ) 7.765 * * [simplify]: Extracting # 0 : cost 0 7.767 * * [simplify]: Extracting # 1 : cost 0 7.769 * * [simplify]: Extracting # 2 : cost 0 7.770 * * [simplify]: Extracting # 3 : cost 0 7.772 * * [simplify]: Extracting # 4 : cost 0 7.773 * * [simplify]: iteration 2 : 730 enodes (cost 694 ) 8.312 * * [simplify]: Extracting # 0 : cost 0 8.317 * * [simplify]: Extracting # 1 : cost 0 8.322 * * [simplify]: Extracting # 2 : cost 0 8.332 * * [simplify]: Extracting # 3 : cost 0 8.336 * * [simplify]: Extracting # 4 : cost 0 8.341 * * [simplify]: iteration 3 : 2283 enodes (cost 685 ) 9.761 * * [simplify]: Extracting # 0 : cost 0 9.772 * * [simplify]: Extracting # 1 : cost 0 9.783 * * [simplify]: Extracting # 2 : cost 0 9.793 * * [simplify]: Extracting # 3 : cost 0 9.804 * * [simplify]: Extracting # 4 : cost 0 9.814 * * [simplify]: Extracting # 5 : cost 0 9.825 * * [simplify]: Extracting # 6 : cost 0 9.835 * * [simplify]: iteration done: 5001 enodes (cost 667 ) 9.836 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4)))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (+ (+ re (sqrt (+ (* re re) (* im im)))) re)) (pow im 2)) (- re) (+ (pow im 2) 0) (+ re (sqrt (+ (* re re) (* im im)))) (- re) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* im im) (* re re)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))) (- (pow re 4) (pow im 4)) (* (+ re im) (- re im)) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) 2.0)) (sqrt (+ (* re (+ (+ re (sqrt (+ (* re re) (* im im)))) re)) (pow im 2))) (sqrt (* (+ (pow im 2) 0) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (- re) (- im re) 0 (* -2 re) (+ (* im im) (* re re)) (+ (* im im) (* re re)) (+ (* im im) (* re re)) (- (* (* +nan.0 (sqrt 2.0)) (- (* im (+ re im)) im))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 9.837 * * * [progress]: adding candidates to table 10.106 * * [progress]: iteration 4 / 4 10.106 * * * [progress]: picking best candidate 10.152 * * * * [pick]: Picked # 10.152 * * * [progress]: localizing error 10.177 * * * [progress]: generating rewritten candidates 10.177 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 10.186 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 10.194 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 10.203 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 10.391 * * * [progress]: generating series expansions 10.391 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 10.391 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 10.392 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 10.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.392 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.392 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.392 * [taylor]: Taking taylor expansion of re in im 10.392 * [backup-simplify]: Simplify re into re 10.392 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.392 * [taylor]: Taking taylor expansion of im in im 10.392 * [backup-simplify]: Simplify 0 into 0 10.392 * [backup-simplify]: Simplify 1 into 1 10.392 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.392 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.392 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.392 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.393 * [backup-simplify]: Simplify (+ 0 0) into 0 10.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.393 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.393 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.393 * [taylor]: Taking taylor expansion of re in re 10.393 * [backup-simplify]: Simplify 0 into 0 10.393 * [backup-simplify]: Simplify 1 into 1 10.393 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.393 * [taylor]: Taking taylor expansion of im in re 10.393 * [backup-simplify]: Simplify im into im 10.393 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.393 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.393 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.393 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.393 * [backup-simplify]: Simplify (+ 0 0) into 0 10.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.394 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.394 * [taylor]: Taking taylor expansion of re in re 10.394 * [backup-simplify]: Simplify 0 into 0 10.394 * [backup-simplify]: Simplify 1 into 1 10.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.394 * [taylor]: Taking taylor expansion of im in re 10.394 * [backup-simplify]: Simplify im into im 10.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.394 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.394 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.394 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.394 * [backup-simplify]: Simplify (+ 0 0) into 0 10.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.394 * [taylor]: Taking taylor expansion of im in im 10.394 * [backup-simplify]: Simplify 0 into 0 10.394 * [backup-simplify]: Simplify 1 into 1 10.394 * [backup-simplify]: Simplify 0 into 0 10.394 * [taylor]: Taking taylor expansion of 0 in im 10.394 * [backup-simplify]: Simplify 0 into 0 10.394 * [backup-simplify]: Simplify 0 into 0 10.394 * [backup-simplify]: Simplify 1 into 1 10.395 * [backup-simplify]: Simplify (* 1 1) into 1 10.395 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.395 * [backup-simplify]: Simplify (+ 1 0) into 1 10.396 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.396 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.396 * [taylor]: Taking taylor expansion of 1/2 in im 10.396 * [backup-simplify]: Simplify 1/2 into 1/2 10.396 * [taylor]: Taking taylor expansion of im in im 10.396 * [backup-simplify]: Simplify 0 into 0 10.396 * [backup-simplify]: Simplify 1 into 1 10.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.397 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.398 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.398 * [backup-simplify]: Simplify (+ 0 0) into 0 10.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.398 * [taylor]: Taking taylor expansion of 0 in im 10.398 * [backup-simplify]: Simplify 0 into 0 10.398 * [backup-simplify]: Simplify 0 into 0 10.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.399 * [backup-simplify]: Simplify 0 into 0 10.399 * [backup-simplify]: Simplify 0 into 0 10.399 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.399 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.399 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.399 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.399 * [taylor]: Taking taylor expansion of im in im 10.399 * [backup-simplify]: Simplify 0 into 0 10.399 * [backup-simplify]: Simplify 1 into 1 10.399 * [backup-simplify]: Simplify (* 1 1) into 1 10.400 * [backup-simplify]: Simplify (/ 1 1) into 1 10.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.400 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.400 * [taylor]: Taking taylor expansion of re in im 10.400 * [backup-simplify]: Simplify re into re 10.400 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.400 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.400 * [backup-simplify]: Simplify (+ 1 0) into 1 10.400 * [backup-simplify]: Simplify (sqrt 1) into 1 10.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.401 * [backup-simplify]: Simplify (+ 0 0) into 0 10.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.402 * [taylor]: Taking taylor expansion of im in re 10.402 * [backup-simplify]: Simplify im into im 10.402 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.402 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.402 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.402 * [taylor]: Taking taylor expansion of re in re 10.402 * [backup-simplify]: Simplify 0 into 0 10.402 * [backup-simplify]: Simplify 1 into 1 10.402 * [backup-simplify]: Simplify (* 1 1) into 1 10.403 * [backup-simplify]: Simplify (/ 1 1) into 1 10.403 * [backup-simplify]: Simplify (+ 0 1) into 1 10.403 * [backup-simplify]: Simplify (sqrt 1) into 1 10.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.404 * [backup-simplify]: Simplify (+ 0 0) into 0 10.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.405 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.405 * [taylor]: Taking taylor expansion of im in re 10.405 * [backup-simplify]: Simplify im into im 10.405 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.405 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.405 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.405 * [taylor]: Taking taylor expansion of re in re 10.405 * [backup-simplify]: Simplify 0 into 0 10.405 * [backup-simplify]: Simplify 1 into 1 10.405 * [backup-simplify]: Simplify (* 1 1) into 1 10.406 * [backup-simplify]: Simplify (/ 1 1) into 1 10.406 * [backup-simplify]: Simplify (+ 0 1) into 1 10.406 * [backup-simplify]: Simplify (sqrt 1) into 1 10.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.407 * [backup-simplify]: Simplify (+ 0 0) into 0 10.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.408 * [taylor]: Taking taylor expansion of 1 in im 10.408 * [backup-simplify]: Simplify 1 into 1 10.408 * [taylor]: Taking taylor expansion of 0 in im 10.408 * [backup-simplify]: Simplify 0 into 0 10.408 * [backup-simplify]: Simplify 1 into 1 10.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.409 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.410 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.410 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.410 * [taylor]: Taking taylor expansion of 1/2 in im 10.410 * [backup-simplify]: Simplify 1/2 into 1/2 10.410 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.410 * [taylor]: Taking taylor expansion of im in im 10.410 * [backup-simplify]: Simplify 0 into 0 10.410 * [backup-simplify]: Simplify 1 into 1 10.410 * [backup-simplify]: Simplify (* 1 1) into 1 10.411 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.412 * [backup-simplify]: Simplify 0 into 0 10.412 * [backup-simplify]: Simplify 0 into 0 10.412 * [backup-simplify]: Simplify 0 into 0 10.412 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.413 * [backup-simplify]: Simplify (+ 0 0) into 0 10.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.414 * [taylor]: Taking taylor expansion of 0 in im 10.414 * [backup-simplify]: Simplify 0 into 0 10.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.415 * [backup-simplify]: Simplify 0 into 0 10.415 * [backup-simplify]: Simplify 0 into 0 10.415 * [backup-simplify]: Simplify 0 into 0 10.415 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.415 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.415 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.415 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.415 * [taylor]: Taking taylor expansion of im in im 10.415 * [backup-simplify]: Simplify 0 into 0 10.415 * [backup-simplify]: Simplify 1 into 1 10.416 * [backup-simplify]: Simplify (* 1 1) into 1 10.416 * [backup-simplify]: Simplify (/ 1 1) into 1 10.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.416 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.416 * [taylor]: Taking taylor expansion of re in im 10.416 * [backup-simplify]: Simplify re into re 10.416 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.416 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.416 * [backup-simplify]: Simplify (+ 1 0) into 1 10.417 * [backup-simplify]: Simplify (sqrt 1) into 1 10.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.421 * [backup-simplify]: Simplify (+ 0 0) into 0 10.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.422 * [taylor]: Taking taylor expansion of im in re 10.422 * [backup-simplify]: Simplify im into im 10.422 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.423 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.423 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.423 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.423 * [taylor]: Taking taylor expansion of re in re 10.423 * [backup-simplify]: Simplify 0 into 0 10.423 * [backup-simplify]: Simplify 1 into 1 10.423 * [backup-simplify]: Simplify (* 1 1) into 1 10.423 * [backup-simplify]: Simplify (/ 1 1) into 1 10.423 * [backup-simplify]: Simplify (+ 0 1) into 1 10.424 * [backup-simplify]: Simplify (sqrt 1) into 1 10.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.425 * [backup-simplify]: Simplify (+ 0 0) into 0 10.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.425 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.425 * [taylor]: Taking taylor expansion of im in re 10.425 * [backup-simplify]: Simplify im into im 10.425 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.426 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.426 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.426 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.426 * [taylor]: Taking taylor expansion of re in re 10.426 * [backup-simplify]: Simplify 0 into 0 10.426 * [backup-simplify]: Simplify 1 into 1 10.426 * [backup-simplify]: Simplify (* 1 1) into 1 10.426 * [backup-simplify]: Simplify (/ 1 1) into 1 10.426 * [backup-simplify]: Simplify (+ 0 1) into 1 10.427 * [backup-simplify]: Simplify (sqrt 1) into 1 10.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.428 * [backup-simplify]: Simplify (+ 0 0) into 0 10.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.428 * [taylor]: Taking taylor expansion of 1 in im 10.428 * [backup-simplify]: Simplify 1 into 1 10.428 * [taylor]: Taking taylor expansion of 0 in im 10.428 * [backup-simplify]: Simplify 0 into 0 10.428 * [backup-simplify]: Simplify 1 into 1 10.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.429 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.430 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.430 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.430 * [taylor]: Taking taylor expansion of 1/2 in im 10.430 * [backup-simplify]: Simplify 1/2 into 1/2 10.430 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.430 * [taylor]: Taking taylor expansion of im in im 10.430 * [backup-simplify]: Simplify 0 into 0 10.430 * [backup-simplify]: Simplify 1 into 1 10.431 * [backup-simplify]: Simplify (* 1 1) into 1 10.431 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.435 * [backup-simplify]: Simplify (+ 0 0) into 0 10.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.436 * [taylor]: Taking taylor expansion of 0 in im 10.436 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.438 * [backup-simplify]: Simplify 0 into 0 10.438 * [backup-simplify]: Simplify 0 into 0 10.438 * [backup-simplify]: Simplify 0 into 0 10.438 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.438 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 10.438 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 10.438 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 10.438 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.438 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.438 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.438 * [taylor]: Taking taylor expansion of re in im 10.438 * [backup-simplify]: Simplify re into re 10.438 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.438 * [taylor]: Taking taylor expansion of im in im 10.438 * [backup-simplify]: Simplify 0 into 0 10.438 * [backup-simplify]: Simplify 1 into 1 10.439 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.439 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.439 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.439 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.439 * [backup-simplify]: Simplify (+ 0 0) into 0 10.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.440 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.440 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.440 * [taylor]: Taking taylor expansion of re in re 10.440 * [backup-simplify]: Simplify 0 into 0 10.440 * [backup-simplify]: Simplify 1 into 1 10.440 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.440 * [taylor]: Taking taylor expansion of im in re 10.440 * [backup-simplify]: Simplify im into im 10.440 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.440 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.440 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.440 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.441 * [backup-simplify]: Simplify (+ 0 0) into 0 10.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.441 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.441 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.441 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.441 * [taylor]: Taking taylor expansion of re in re 10.441 * [backup-simplify]: Simplify 0 into 0 10.441 * [backup-simplify]: Simplify 1 into 1 10.441 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.441 * [taylor]: Taking taylor expansion of im in re 10.441 * [backup-simplify]: Simplify im into im 10.441 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.441 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.442 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.442 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.442 * [backup-simplify]: Simplify (+ 0 0) into 0 10.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.442 * [taylor]: Taking taylor expansion of im in im 10.442 * [backup-simplify]: Simplify 0 into 0 10.442 * [backup-simplify]: Simplify 1 into 1 10.442 * [backup-simplify]: Simplify 0 into 0 10.443 * [taylor]: Taking taylor expansion of 0 in im 10.443 * [backup-simplify]: Simplify 0 into 0 10.443 * [backup-simplify]: Simplify 0 into 0 10.443 * [backup-simplify]: Simplify 1 into 1 10.443 * [backup-simplify]: Simplify (* 1 1) into 1 10.444 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.444 * [backup-simplify]: Simplify (+ 1 0) into 1 10.446 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.446 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.446 * [taylor]: Taking taylor expansion of 1/2 in im 10.446 * [backup-simplify]: Simplify 1/2 into 1/2 10.446 * [taylor]: Taking taylor expansion of im in im 10.446 * [backup-simplify]: Simplify 0 into 0 10.446 * [backup-simplify]: Simplify 1 into 1 10.447 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.448 * [backup-simplify]: Simplify 0 into 0 10.448 * [backup-simplify]: Simplify 0 into 0 10.448 * [backup-simplify]: Simplify 0 into 0 10.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.450 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.450 * [backup-simplify]: Simplify (+ 0 0) into 0 10.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.450 * [taylor]: Taking taylor expansion of 0 in im 10.450 * [backup-simplify]: Simplify 0 into 0 10.450 * [backup-simplify]: Simplify 0 into 0 10.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.451 * [backup-simplify]: Simplify 0 into 0 10.451 * [backup-simplify]: Simplify 0 into 0 10.451 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.452 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.452 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.452 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.452 * [taylor]: Taking taylor expansion of im in im 10.452 * [backup-simplify]: Simplify 0 into 0 10.452 * [backup-simplify]: Simplify 1 into 1 10.452 * [backup-simplify]: Simplify (* 1 1) into 1 10.453 * [backup-simplify]: Simplify (/ 1 1) into 1 10.453 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.453 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.453 * [taylor]: Taking taylor expansion of re in im 10.453 * [backup-simplify]: Simplify re into re 10.453 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.453 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.454 * [backup-simplify]: Simplify (+ 1 0) into 1 10.454 * [backup-simplify]: Simplify (sqrt 1) into 1 10.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.456 * [backup-simplify]: Simplify (+ 0 0) into 0 10.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.457 * [taylor]: Taking taylor expansion of im in re 10.457 * [backup-simplify]: Simplify im into im 10.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.457 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.457 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.457 * [taylor]: Taking taylor expansion of re in re 10.457 * [backup-simplify]: Simplify 0 into 0 10.457 * [backup-simplify]: Simplify 1 into 1 10.458 * [backup-simplify]: Simplify (* 1 1) into 1 10.458 * [backup-simplify]: Simplify (/ 1 1) into 1 10.459 * [backup-simplify]: Simplify (+ 0 1) into 1 10.459 * [backup-simplify]: Simplify (sqrt 1) into 1 10.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.461 * [backup-simplify]: Simplify (+ 0 0) into 0 10.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.462 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.462 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.462 * [taylor]: Taking taylor expansion of im in re 10.462 * [backup-simplify]: Simplify im into im 10.462 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.462 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.462 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.462 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.463 * [taylor]: Taking taylor expansion of re in re 10.463 * [backup-simplify]: Simplify 0 into 0 10.463 * [backup-simplify]: Simplify 1 into 1 10.463 * [backup-simplify]: Simplify (* 1 1) into 1 10.463 * [backup-simplify]: Simplify (/ 1 1) into 1 10.464 * [backup-simplify]: Simplify (+ 0 1) into 1 10.464 * [backup-simplify]: Simplify (sqrt 1) into 1 10.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.466 * [backup-simplify]: Simplify (+ 0 0) into 0 10.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.467 * [taylor]: Taking taylor expansion of 1 in im 10.467 * [backup-simplify]: Simplify 1 into 1 10.467 * [taylor]: Taking taylor expansion of 0 in im 10.467 * [backup-simplify]: Simplify 0 into 0 10.467 * [backup-simplify]: Simplify 1 into 1 10.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.469 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.470 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.470 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.470 * [taylor]: Taking taylor expansion of 1/2 in im 10.470 * [backup-simplify]: Simplify 1/2 into 1/2 10.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.470 * [taylor]: Taking taylor expansion of im in im 10.470 * [backup-simplify]: Simplify 0 into 0 10.470 * [backup-simplify]: Simplify 1 into 1 10.471 * [backup-simplify]: Simplify (* 1 1) into 1 10.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.473 * [backup-simplify]: Simplify 0 into 0 10.473 * [backup-simplify]: Simplify 0 into 0 10.473 * [backup-simplify]: Simplify 0 into 0 10.473 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.476 * [backup-simplify]: Simplify (+ 0 0) into 0 10.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.476 * [taylor]: Taking taylor expansion of 0 in im 10.476 * [backup-simplify]: Simplify 0 into 0 10.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.478 * [backup-simplify]: Simplify 0 into 0 10.478 * [backup-simplify]: Simplify 0 into 0 10.478 * [backup-simplify]: Simplify 0 into 0 10.479 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.479 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.479 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.479 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.479 * [taylor]: Taking taylor expansion of im in im 10.479 * [backup-simplify]: Simplify 0 into 0 10.479 * [backup-simplify]: Simplify 1 into 1 10.480 * [backup-simplify]: Simplify (* 1 1) into 1 10.480 * [backup-simplify]: Simplify (/ 1 1) into 1 10.480 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.480 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.480 * [taylor]: Taking taylor expansion of re in im 10.480 * [backup-simplify]: Simplify re into re 10.480 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.480 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.481 * [backup-simplify]: Simplify (+ 1 0) into 1 10.481 * [backup-simplify]: Simplify (sqrt 1) into 1 10.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.483 * [backup-simplify]: Simplify (+ 0 0) into 0 10.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.484 * [taylor]: Taking taylor expansion of im in re 10.484 * [backup-simplify]: Simplify im into im 10.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.484 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.484 * [taylor]: Taking taylor expansion of re in re 10.484 * [backup-simplify]: Simplify 0 into 0 10.484 * [backup-simplify]: Simplify 1 into 1 10.484 * [backup-simplify]: Simplify (* 1 1) into 1 10.485 * [backup-simplify]: Simplify (/ 1 1) into 1 10.485 * [backup-simplify]: Simplify (+ 0 1) into 1 10.486 * [backup-simplify]: Simplify (sqrt 1) into 1 10.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.487 * [backup-simplify]: Simplify (+ 0 0) into 0 10.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.488 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.488 * [taylor]: Taking taylor expansion of im in re 10.488 * [backup-simplify]: Simplify im into im 10.488 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.488 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.488 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.488 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.488 * [taylor]: Taking taylor expansion of re in re 10.488 * [backup-simplify]: Simplify 0 into 0 10.488 * [backup-simplify]: Simplify 1 into 1 10.488 * [backup-simplify]: Simplify (* 1 1) into 1 10.489 * [backup-simplify]: Simplify (/ 1 1) into 1 10.489 * [backup-simplify]: Simplify (+ 0 1) into 1 10.489 * [backup-simplify]: Simplify (sqrt 1) into 1 10.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.490 * [backup-simplify]: Simplify (+ 0 0) into 0 10.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.491 * [taylor]: Taking taylor expansion of 1 in im 10.491 * [backup-simplify]: Simplify 1 into 1 10.491 * [taylor]: Taking taylor expansion of 0 in im 10.491 * [backup-simplify]: Simplify 0 into 0 10.491 * [backup-simplify]: Simplify 1 into 1 10.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.492 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.493 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.493 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.493 * [taylor]: Taking taylor expansion of 1/2 in im 10.493 * [backup-simplify]: Simplify 1/2 into 1/2 10.493 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.493 * [taylor]: Taking taylor expansion of im in im 10.493 * [backup-simplify]: Simplify 0 into 0 10.493 * [backup-simplify]: Simplify 1 into 1 10.493 * [backup-simplify]: Simplify (* 1 1) into 1 10.494 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.494 * [backup-simplify]: Simplify 0 into 0 10.494 * [backup-simplify]: Simplify 0 into 0 10.495 * [backup-simplify]: Simplify 0 into 0 10.495 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.496 * [backup-simplify]: Simplify (+ 0 0) into 0 10.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.497 * [taylor]: Taking taylor expansion of 0 in im 10.497 * [backup-simplify]: Simplify 0 into 0 10.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.498 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 10.498 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 10.498 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 10.498 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.498 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.498 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.498 * [taylor]: Taking taylor expansion of re in im 10.498 * [backup-simplify]: Simplify re into re 10.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.498 * [taylor]: Taking taylor expansion of im in im 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify 1 into 1 10.498 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.498 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.499 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.499 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.499 * [backup-simplify]: Simplify (+ 0 0) into 0 10.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.499 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.499 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.499 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.499 * [taylor]: Taking taylor expansion of re in re 10.499 * [backup-simplify]: Simplify 0 into 0 10.499 * [backup-simplify]: Simplify 1 into 1 10.499 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.499 * [taylor]: Taking taylor expansion of im in re 10.499 * [backup-simplify]: Simplify im into im 10.499 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.499 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.499 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.500 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.500 * [backup-simplify]: Simplify (+ 0 0) into 0 10.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.500 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.500 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.500 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.500 * [taylor]: Taking taylor expansion of re in re 10.500 * [backup-simplify]: Simplify 0 into 0 10.500 * [backup-simplify]: Simplify 1 into 1 10.500 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.500 * [taylor]: Taking taylor expansion of im in re 10.500 * [backup-simplify]: Simplify im into im 10.500 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.500 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.500 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.500 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.501 * [backup-simplify]: Simplify (+ 0 0) into 0 10.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.501 * [taylor]: Taking taylor expansion of im in im 10.501 * [backup-simplify]: Simplify 0 into 0 10.501 * [backup-simplify]: Simplify 1 into 1 10.501 * [backup-simplify]: Simplify 0 into 0 10.501 * [taylor]: Taking taylor expansion of 0 in im 10.501 * [backup-simplify]: Simplify 0 into 0 10.501 * [backup-simplify]: Simplify 0 into 0 10.501 * [backup-simplify]: Simplify 1 into 1 10.501 * [backup-simplify]: Simplify (* 1 1) into 1 10.501 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.502 * [backup-simplify]: Simplify (+ 1 0) into 1 10.502 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.502 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.502 * [taylor]: Taking taylor expansion of 1/2 in im 10.502 * [backup-simplify]: Simplify 1/2 into 1/2 10.502 * [taylor]: Taking taylor expansion of im in im 10.502 * [backup-simplify]: Simplify 0 into 0 10.502 * [backup-simplify]: Simplify 1 into 1 10.503 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.503 * [backup-simplify]: Simplify 0 into 0 10.503 * [backup-simplify]: Simplify 0 into 0 10.503 * [backup-simplify]: Simplify 0 into 0 10.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.504 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.504 * [backup-simplify]: Simplify (+ 0 0) into 0 10.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.504 * [taylor]: Taking taylor expansion of 0 in im 10.504 * [backup-simplify]: Simplify 0 into 0 10.504 * [backup-simplify]: Simplify 0 into 0 10.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.505 * [backup-simplify]: Simplify 0 into 0 10.505 * [backup-simplify]: Simplify 0 into 0 10.505 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.505 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.505 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.505 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.505 * [taylor]: Taking taylor expansion of im in im 10.505 * [backup-simplify]: Simplify 0 into 0 10.506 * [backup-simplify]: Simplify 1 into 1 10.506 * [backup-simplify]: Simplify (* 1 1) into 1 10.506 * [backup-simplify]: Simplify (/ 1 1) into 1 10.506 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.506 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.506 * [taylor]: Taking taylor expansion of re in im 10.506 * [backup-simplify]: Simplify re into re 10.506 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.506 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.507 * [backup-simplify]: Simplify (+ 1 0) into 1 10.507 * [backup-simplify]: Simplify (sqrt 1) into 1 10.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.508 * [backup-simplify]: Simplify (+ 0 0) into 0 10.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.508 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.508 * [taylor]: Taking taylor expansion of im in re 10.508 * [backup-simplify]: Simplify im into im 10.508 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.509 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.509 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.509 * [taylor]: Taking taylor expansion of re in re 10.509 * [backup-simplify]: Simplify 0 into 0 10.509 * [backup-simplify]: Simplify 1 into 1 10.509 * [backup-simplify]: Simplify (* 1 1) into 1 10.509 * [backup-simplify]: Simplify (/ 1 1) into 1 10.509 * [backup-simplify]: Simplify (+ 0 1) into 1 10.510 * [backup-simplify]: Simplify (sqrt 1) into 1 10.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.511 * [backup-simplify]: Simplify (+ 0 0) into 0 10.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.511 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.511 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.511 * [taylor]: Taking taylor expansion of im in re 10.511 * [backup-simplify]: Simplify im into im 10.511 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.511 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.511 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.511 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.511 * [taylor]: Taking taylor expansion of re in re 10.511 * [backup-simplify]: Simplify 0 into 0 10.511 * [backup-simplify]: Simplify 1 into 1 10.512 * [backup-simplify]: Simplify (* 1 1) into 1 10.512 * [backup-simplify]: Simplify (/ 1 1) into 1 10.512 * [backup-simplify]: Simplify (+ 0 1) into 1 10.512 * [backup-simplify]: Simplify (sqrt 1) into 1 10.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.513 * [backup-simplify]: Simplify (+ 0 0) into 0 10.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.514 * [taylor]: Taking taylor expansion of 1 in im 10.514 * [backup-simplify]: Simplify 1 into 1 10.514 * [taylor]: Taking taylor expansion of 0 in im 10.514 * [backup-simplify]: Simplify 0 into 0 10.514 * [backup-simplify]: Simplify 1 into 1 10.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.515 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.516 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.516 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.516 * [taylor]: Taking taylor expansion of 1/2 in im 10.516 * [backup-simplify]: Simplify 1/2 into 1/2 10.516 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.516 * [taylor]: Taking taylor expansion of im in im 10.516 * [backup-simplify]: Simplify 0 into 0 10.516 * [backup-simplify]: Simplify 1 into 1 10.516 * [backup-simplify]: Simplify (* 1 1) into 1 10.517 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.518 * [backup-simplify]: Simplify 0 into 0 10.518 * [backup-simplify]: Simplify 0 into 0 10.518 * [backup-simplify]: Simplify 0 into 0 10.518 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.520 * [backup-simplify]: Simplify (+ 0 0) into 0 10.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.520 * [taylor]: Taking taylor expansion of 0 in im 10.520 * [backup-simplify]: Simplify 0 into 0 10.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.522 * [backup-simplify]: Simplify 0 into 0 10.522 * [backup-simplify]: Simplify 0 into 0 10.522 * [backup-simplify]: Simplify 0 into 0 10.522 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.523 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.523 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.523 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.523 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.523 * [taylor]: Taking taylor expansion of im in im 10.523 * [backup-simplify]: Simplify 0 into 0 10.523 * [backup-simplify]: Simplify 1 into 1 10.523 * [backup-simplify]: Simplify (* 1 1) into 1 10.524 * [backup-simplify]: Simplify (/ 1 1) into 1 10.524 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.524 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.524 * [taylor]: Taking taylor expansion of re in im 10.524 * [backup-simplify]: Simplify re into re 10.524 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.524 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.525 * [backup-simplify]: Simplify (+ 1 0) into 1 10.525 * [backup-simplify]: Simplify (sqrt 1) into 1 10.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.527 * [backup-simplify]: Simplify (+ 0 0) into 0 10.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.527 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.527 * [taylor]: Taking taylor expansion of im in re 10.527 * [backup-simplify]: Simplify im into im 10.528 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.528 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.528 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.528 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.528 * [taylor]: Taking taylor expansion of re in re 10.528 * [backup-simplify]: Simplify 0 into 0 10.528 * [backup-simplify]: Simplify 1 into 1 10.528 * [backup-simplify]: Simplify (* 1 1) into 1 10.529 * [backup-simplify]: Simplify (/ 1 1) into 1 10.529 * [backup-simplify]: Simplify (+ 0 1) into 1 10.530 * [backup-simplify]: Simplify (sqrt 1) into 1 10.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.531 * [backup-simplify]: Simplify (+ 0 0) into 0 10.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.532 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.532 * [taylor]: Taking taylor expansion of im in re 10.532 * [backup-simplify]: Simplify im into im 10.532 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.532 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.532 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.532 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.532 * [taylor]: Taking taylor expansion of re in re 10.532 * [backup-simplify]: Simplify 0 into 0 10.533 * [backup-simplify]: Simplify 1 into 1 10.533 * [backup-simplify]: Simplify (* 1 1) into 1 10.533 * [backup-simplify]: Simplify (/ 1 1) into 1 10.534 * [backup-simplify]: Simplify (+ 0 1) into 1 10.534 * [backup-simplify]: Simplify (sqrt 1) into 1 10.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.536 * [backup-simplify]: Simplify (+ 0 0) into 0 10.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.537 * [taylor]: Taking taylor expansion of 1 in im 10.537 * [backup-simplify]: Simplify 1 into 1 10.537 * [taylor]: Taking taylor expansion of 0 in im 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 1 into 1 10.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.539 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.540 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.540 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.540 * [taylor]: Taking taylor expansion of 1/2 in im 10.540 * [backup-simplify]: Simplify 1/2 into 1/2 10.540 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.540 * [taylor]: Taking taylor expansion of im in im 10.540 * [backup-simplify]: Simplify 0 into 0 10.540 * [backup-simplify]: Simplify 1 into 1 10.541 * [backup-simplify]: Simplify (* 1 1) into 1 10.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.543 * [backup-simplify]: Simplify 0 into 0 10.543 * [backup-simplify]: Simplify 0 into 0 10.543 * [backup-simplify]: Simplify 0 into 0 10.543 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.546 * [backup-simplify]: Simplify (+ 0 0) into 0 10.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.546 * [taylor]: Taking taylor expansion of 0 in im 10.546 * [backup-simplify]: Simplify 0 into 0 10.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.548 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.548 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 10.549 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 10.549 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 10.549 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 10.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.549 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.550 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.550 * [taylor]: Taking taylor expansion of re in im 10.550 * [backup-simplify]: Simplify re into re 10.550 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.550 * [taylor]: Taking taylor expansion of im in im 10.550 * [backup-simplify]: Simplify 0 into 0 10.550 * [backup-simplify]: Simplify 1 into 1 10.550 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.550 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.550 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.550 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.557 * [backup-simplify]: Simplify (+ 0 0) into 0 10.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.558 * [taylor]: Taking taylor expansion of re in im 10.558 * [backup-simplify]: Simplify re into re 10.558 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 10.558 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.558 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.558 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.558 * [taylor]: Taking taylor expansion of re in re 10.558 * [backup-simplify]: Simplify 0 into 0 10.558 * [backup-simplify]: Simplify 1 into 1 10.558 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.558 * [taylor]: Taking taylor expansion of im in re 10.558 * [backup-simplify]: Simplify im into im 10.558 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.558 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.558 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.558 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.559 * [backup-simplify]: Simplify (+ 0 0) into 0 10.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.559 * [taylor]: Taking taylor expansion of re in re 10.559 * [backup-simplify]: Simplify 0 into 0 10.559 * [backup-simplify]: Simplify 1 into 1 10.559 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 10.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.560 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.560 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.560 * [taylor]: Taking taylor expansion of re in re 10.560 * [backup-simplify]: Simplify 0 into 0 10.560 * [backup-simplify]: Simplify 1 into 1 10.560 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.560 * [taylor]: Taking taylor expansion of im in re 10.560 * [backup-simplify]: Simplify im into im 10.560 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.560 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.560 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.560 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.561 * [backup-simplify]: Simplify (+ 0 0) into 0 10.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.561 * [taylor]: Taking taylor expansion of re in re 10.561 * [backup-simplify]: Simplify 0 into 0 10.561 * [backup-simplify]: Simplify 1 into 1 10.561 * [backup-simplify]: Simplify (- 0) into 0 10.561 * [backup-simplify]: Simplify (+ im 0) into im 10.561 * [taylor]: Taking taylor expansion of im in im 10.561 * [backup-simplify]: Simplify 0 into 0 10.561 * [backup-simplify]: Simplify 1 into 1 10.561 * [backup-simplify]: Simplify 0 into 0 10.562 * [backup-simplify]: Simplify (- 1) into -1 10.562 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.562 * [taylor]: Taking taylor expansion of -1 in im 10.562 * [backup-simplify]: Simplify -1 into -1 10.562 * [backup-simplify]: Simplify -1 into -1 10.562 * [backup-simplify]: Simplify 1 into 1 10.563 * [backup-simplify]: Simplify (* 1 1) into 1 10.563 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.564 * [backup-simplify]: Simplify (+ 1 0) into 1 10.565 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.565 * [backup-simplify]: Simplify (- 0) into 0 10.565 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 10.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 10.565 * [taylor]: Taking taylor expansion of 1/2 in im 10.565 * [backup-simplify]: Simplify 1/2 into 1/2 10.565 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.565 * [taylor]: Taking taylor expansion of im in im 10.565 * [backup-simplify]: Simplify 0 into 0 10.565 * [backup-simplify]: Simplify 1 into 1 10.566 * [backup-simplify]: Simplify (/ 1 1) into 1 10.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.567 * [backup-simplify]: Simplify 0 into 0 10.567 * [backup-simplify]: Simplify 0 into 0 10.567 * [backup-simplify]: Simplify 0 into 0 10.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.569 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.569 * [backup-simplify]: Simplify (+ 0 0) into 0 10.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.570 * [backup-simplify]: Simplify (- 0) into 0 10.570 * [backup-simplify]: Simplify (+ 0 0) into 0 10.571 * [taylor]: Taking taylor expansion of 0 in im 10.571 * [backup-simplify]: Simplify 0 into 0 10.571 * [backup-simplify]: Simplify 0 into 0 10.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.573 * [backup-simplify]: Simplify 0 into 0 10.573 * [backup-simplify]: Simplify 0 into 0 10.573 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 10.574 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 10.574 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 10.574 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 10.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.574 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.574 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.574 * [taylor]: Taking taylor expansion of im in im 10.574 * [backup-simplify]: Simplify 0 into 0 10.574 * [backup-simplify]: Simplify 1 into 1 10.575 * [backup-simplify]: Simplify (* 1 1) into 1 10.575 * [backup-simplify]: Simplify (/ 1 1) into 1 10.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.575 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.575 * [taylor]: Taking taylor expansion of re in im 10.575 * [backup-simplify]: Simplify re into re 10.575 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.575 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.576 * [backup-simplify]: Simplify (+ 1 0) into 1 10.576 * [backup-simplify]: Simplify (sqrt 1) into 1 10.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.578 * [backup-simplify]: Simplify (+ 0 0) into 0 10.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.579 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.579 * [taylor]: Taking taylor expansion of re in im 10.579 * [backup-simplify]: Simplify re into re 10.579 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.579 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 10.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.579 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.579 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.579 * [taylor]: Taking taylor expansion of im in re 10.579 * [backup-simplify]: Simplify im into im 10.580 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.580 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.580 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.580 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.580 * [taylor]: Taking taylor expansion of re in re 10.580 * [backup-simplify]: Simplify 0 into 0 10.580 * [backup-simplify]: Simplify 1 into 1 10.580 * [backup-simplify]: Simplify (* 1 1) into 1 10.581 * [backup-simplify]: Simplify (/ 1 1) into 1 10.581 * [backup-simplify]: Simplify (+ 0 1) into 1 10.581 * [backup-simplify]: Simplify (sqrt 1) into 1 10.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.583 * [backup-simplify]: Simplify (+ 0 0) into 0 10.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.584 * [taylor]: Taking taylor expansion of re in re 10.584 * [backup-simplify]: Simplify 0 into 0 10.584 * [backup-simplify]: Simplify 1 into 1 10.585 * [backup-simplify]: Simplify (/ 1 1) into 1 10.585 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 10.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.585 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.585 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.585 * [taylor]: Taking taylor expansion of im in re 10.585 * [backup-simplify]: Simplify im into im 10.585 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.585 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.585 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.585 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.585 * [taylor]: Taking taylor expansion of re in re 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 1 into 1 10.586 * [backup-simplify]: Simplify (* 1 1) into 1 10.586 * [backup-simplify]: Simplify (/ 1 1) into 1 10.587 * [backup-simplify]: Simplify (+ 0 1) into 1 10.587 * [backup-simplify]: Simplify (sqrt 1) into 1 10.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.589 * [backup-simplify]: Simplify (+ 0 0) into 0 10.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.589 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.589 * [taylor]: Taking taylor expansion of re in re 10.589 * [backup-simplify]: Simplify 0 into 0 10.590 * [backup-simplify]: Simplify 1 into 1 10.590 * [backup-simplify]: Simplify (/ 1 1) into 1 10.590 * [backup-simplify]: Simplify (- 1) into -1 10.591 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.591 * [taylor]: Taking taylor expansion of 0 in im 10.591 * [backup-simplify]: Simplify 0 into 0 10.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.592 * [backup-simplify]: Simplify (- 0) into 0 10.592 * [backup-simplify]: Simplify (+ 0 0) into 0 10.592 * [taylor]: Taking taylor expansion of 0 in im 10.592 * [backup-simplify]: Simplify 0 into 0 10.592 * [backup-simplify]: Simplify 0 into 0 10.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.594 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.596 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.597 * [backup-simplify]: Simplify (- 0) into 0 10.597 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.597 * [taylor]: Taking taylor expansion of 1/2 in im 10.597 * [backup-simplify]: Simplify 1/2 into 1/2 10.597 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.597 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.597 * [taylor]: Taking taylor expansion of im in im 10.597 * [backup-simplify]: Simplify 0 into 0 10.598 * [backup-simplify]: Simplify 1 into 1 10.598 * [backup-simplify]: Simplify (* 1 1) into 1 10.598 * [backup-simplify]: Simplify (/ 1 1) into 1 10.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.600 * [backup-simplify]: Simplify 0 into 0 10.600 * [backup-simplify]: Simplify 0 into 0 10.601 * [backup-simplify]: Simplify 0 into 0 10.601 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.603 * [backup-simplify]: Simplify (+ 0 0) into 0 10.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.604 * [backup-simplify]: Simplify (- 0) into 0 10.605 * [backup-simplify]: Simplify (+ 0 0) into 0 10.605 * [taylor]: Taking taylor expansion of 0 in im 10.605 * [backup-simplify]: Simplify 0 into 0 10.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.606 * [backup-simplify]: Simplify 0 into 0 10.606 * [backup-simplify]: Simplify 0 into 0 10.606 * [backup-simplify]: Simplify 0 into 0 10.607 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 10.607 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 10.607 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 10.607 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.607 * [taylor]: Taking taylor expansion of re in im 10.607 * [backup-simplify]: Simplify re into re 10.607 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.607 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.607 * [taylor]: Taking taylor expansion of im in im 10.607 * [backup-simplify]: Simplify 0 into 0 10.607 * [backup-simplify]: Simplify 1 into 1 10.608 * [backup-simplify]: Simplify (* 1 1) into 1 10.608 * [backup-simplify]: Simplify (/ 1 1) into 1 10.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.608 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.608 * [taylor]: Taking taylor expansion of re in im 10.608 * [backup-simplify]: Simplify re into re 10.608 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.608 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.608 * [backup-simplify]: Simplify (+ 1 0) into 1 10.609 * [backup-simplify]: Simplify (sqrt 1) into 1 10.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.610 * [backup-simplify]: Simplify (+ 0 0) into 0 10.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.610 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 10.610 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.610 * [taylor]: Taking taylor expansion of re in re 10.610 * [backup-simplify]: Simplify 0 into 0 10.610 * [backup-simplify]: Simplify 1 into 1 10.610 * [backup-simplify]: Simplify (/ 1 1) into 1 10.610 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.611 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.611 * [taylor]: Taking taylor expansion of im in re 10.611 * [backup-simplify]: Simplify im into im 10.611 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.611 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.611 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.611 * [taylor]: Taking taylor expansion of re in re 10.611 * [backup-simplify]: Simplify 0 into 0 10.611 * [backup-simplify]: Simplify 1 into 1 10.611 * [backup-simplify]: Simplify (* 1 1) into 1 10.611 * [backup-simplify]: Simplify (/ 1 1) into 1 10.612 * [backup-simplify]: Simplify (+ 0 1) into 1 10.612 * [backup-simplify]: Simplify (sqrt 1) into 1 10.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.613 * [backup-simplify]: Simplify (+ 0 0) into 0 10.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.613 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 10.613 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.613 * [taylor]: Taking taylor expansion of re in re 10.613 * [backup-simplify]: Simplify 0 into 0 10.613 * [backup-simplify]: Simplify 1 into 1 10.614 * [backup-simplify]: Simplify (/ 1 1) into 1 10.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.614 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.614 * [taylor]: Taking taylor expansion of im in re 10.614 * [backup-simplify]: Simplify im into im 10.614 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.614 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.614 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.614 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.614 * [taylor]: Taking taylor expansion of re in re 10.614 * [backup-simplify]: Simplify 0 into 0 10.614 * [backup-simplify]: Simplify 1 into 1 10.614 * [backup-simplify]: Simplify (* 1 1) into 1 10.615 * [backup-simplify]: Simplify (/ 1 1) into 1 10.615 * [backup-simplify]: Simplify (+ 0 1) into 1 10.615 * [backup-simplify]: Simplify (sqrt 1) into 1 10.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.616 * [backup-simplify]: Simplify (+ 0 0) into 0 10.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.617 * [backup-simplify]: Simplify (+ 1 1) into 2 10.617 * [taylor]: Taking taylor expansion of 2 in im 10.617 * [backup-simplify]: Simplify 2 into 2 10.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.618 * [backup-simplify]: Simplify (+ 0 0) into 0 10.618 * [taylor]: Taking taylor expansion of 0 in im 10.618 * [backup-simplify]: Simplify 0 into 0 10.618 * [backup-simplify]: Simplify 2 into 2 10.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.619 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.620 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.620 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 10.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.620 * [taylor]: Taking taylor expansion of 1/2 in im 10.620 * [backup-simplify]: Simplify 1/2 into 1/2 10.620 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.620 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.620 * [taylor]: Taking taylor expansion of im in im 10.620 * [backup-simplify]: Simplify 0 into 0 10.620 * [backup-simplify]: Simplify 1 into 1 10.621 * [backup-simplify]: Simplify (* 1 1) into 1 10.621 * [backup-simplify]: Simplify (/ 1 1) into 1 10.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.622 * [backup-simplify]: Simplify 0 into 0 10.622 * [backup-simplify]: Simplify 0 into 0 10.622 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.623 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.624 * [backup-simplify]: Simplify (+ 0 0) into 0 10.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.625 * [backup-simplify]: Simplify (+ 0 0) into 0 10.625 * [taylor]: Taking taylor expansion of 0 in im 10.625 * [backup-simplify]: Simplify 0 into 0 10.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.626 * [backup-simplify]: Simplify 0 into 0 10.626 * [backup-simplify]: Simplify 0 into 0 10.626 * [backup-simplify]: Simplify 0 into 0 10.627 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 10.627 * * * [progress]: simplifying candidates 10.628 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- re) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 10.629 * * [simplify]: Extracting # 0 : cost 0 10.629 * * [simplify]: Extracting # 1 : cost 0 10.629 * * [simplify]: Extracting # 2 : cost 0 10.629 * * [simplify]: Extracting # 3 : cost 0 10.629 * * [simplify]: Extracting # 4 : cost 0 10.630 * * [simplify]: Extracting # 5 : cost 0 10.630 * * [simplify]: Extracting # 6 : cost 0 10.630 * * [simplify]: iteration 0 : 64 enodes (cost 1227 ) 10.649 * * [simplify]: Extracting # 0 : cost 0 10.650 * * [simplify]: Extracting # 1 : cost 0 10.650 * * [simplify]: Extracting # 2 : cost 0 10.651 * * [simplify]: Extracting # 3 : cost 0 10.651 * * [simplify]: Extracting # 4 : cost 0 10.651 * * [simplify]: iteration 1 : 150 enodes (cost 1131 ) 10.700 * * [simplify]: Extracting # 0 : cost 0 10.701 * * [simplify]: Extracting # 1 : cost 0 10.701 * * [simplify]: Extracting # 2 : cost 0 10.701 * * [simplify]: Extracting # 3 : cost 0 10.702 * * [simplify]: Extracting # 4 : cost 0 10.702 * * [simplify]: iteration 2 : 366 enodes (cost 665 ) 10.910 * * [simplify]: Extracting # 0 : cost 0 10.912 * * [simplify]: Extracting # 1 : cost 0 10.913 * * [simplify]: Extracting # 2 : cost 0 10.915 * * [simplify]: Extracting # 3 : cost 0 10.916 * * [simplify]: Extracting # 4 : cost 0 10.917 * * [simplify]: iteration 3 : 1069 enodes (cost 626 ) 12.167 * * [simplify]: Extracting # 0 : cost 0 12.186 * * [simplify]: Extracting # 1 : cost 0 12.194 * * [simplify]: Extracting # 2 : cost 0 12.201 * * [simplify]: Extracting # 3 : cost 0 12.209 * * [simplify]: Extracting # 4 : cost 0 12.216 * * [simplify]: iteration 4 : 3842 enodes (cost 618 ) 14.017 * * [simplify]: Extracting # 0 : cost 0 14.029 * * [simplify]: Extracting # 1 : cost 0 14.034 * * [simplify]: Extracting # 2 : cost 0 14.040 * * [simplify]: Extracting # 3 : cost 0 14.045 * * [simplify]: Extracting # 4 : cost 0 14.051 * * [simplify]: iteration done: 5000 enodes (cost 616 ) 14.052 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* im im) (* re re))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 (+ (* im im) (* re re))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 (+ (* im im) (* re re))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (+ re (sqrt (+ (* re re) (* im im))))))) (- re) (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))) (- re) im re (- re) im re (- re) im re (- re) (- im re) 0 (* -2 re) 14.052 * * * [progress]: adding candidates to table 14.461 * [progress]: [Phase 3 of 3] Extracting. 14.461 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 14.468 * * * [regime-changes]: Trying 4 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) im re) 14.468 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 14.536 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 14.583 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # #) 14.655 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 14.764 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 14.881 * * * [regime]: Found split indices: #