0.599 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.239 * * * [progress]: [2/2] Setting up program. 0.248 * [progress]: [Phase 2 of 3] Improving. 0.248 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.251 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.253 * * [simplify]: iteration 1: (12 enodes) 0.379 * * [simplify]: iteration 2: (17 enodes) 0.456 * * [simplify]: iteration 3: (24 enodes) 0.468 * * [simplify]: iteration 4: (30 enodes) 0.476 * * [simplify]: iteration 5: (35 enodes) 0.483 * * [simplify]: Extracting #0: cost 1 inf + 0 0.483 * * [simplify]: Extracting #1: cost 3 inf + 0 0.483 * * [simplify]: Extracting #2: cost 3 inf + 1 0.483 * * [simplify]: Extracting #3: cost 8 inf + 1 0.484 * * [simplify]: Extracting #4: cost 11 inf + 2 0.484 * * [simplify]: Extracting #5: cost 7 inf + 209 0.484 * * [simplify]: Extracting #6: cost 9 inf + 209 0.484 * * [simplify]: Extracting #7: cost 9 inf + 250 0.484 * * [simplify]: Extracting #8: cost 7 inf + 292 0.484 * * [simplify]: Extracting #9: cost 5 inf + 576 0.485 * * [simplify]: Extracting #10: cost 2 inf + 1224 0.485 * * [simplify]: Extracting #11: cost 0 inf + 1831 0.486 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.523 * * [progress]: iteration 1 / 4 0.524 * * * [progress]: picking best candidate 0.534 * * * * [pick]: Picked # 0.534 * * * [progress]: localizing error 0.590 * * * [progress]: generating rewritten candidates 0.590 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.601 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.650 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.675 * * * [progress]: generating series expansions 0.675 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.680 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.680 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.681 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.681 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.681 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.681 * [taylor]: Taking taylor expansion of im in im 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.681 * [taylor]: Taking taylor expansion of re in im 0.681 * [backup-simplify]: Simplify re into re 0.682 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.682 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.682 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.682 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.683 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.683 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.683 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.683 * [taylor]: Taking taylor expansion of im in re 0.683 * [backup-simplify]: Simplify im into im 0.683 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.684 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.684 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.684 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.684 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.684 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.684 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.684 * [taylor]: Taking taylor expansion of im in re 0.684 * [backup-simplify]: Simplify im into im 0.684 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.684 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.684 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.684 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.708 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.709 * [taylor]: Taking taylor expansion of im in im 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify 0 into 0 0.710 * [taylor]: Taking taylor expansion of 0 in im 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.711 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.712 * [backup-simplify]: Simplify (* 1 1) into 1 0.713 * [backup-simplify]: Simplify (+ 0 1) into 1 0.714 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.714 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.714 * [taylor]: Taking taylor expansion of 1/2 in im 0.714 * [backup-simplify]: Simplify 1/2 into 1/2 0.714 * [taylor]: Taking taylor expansion of im in im 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify 1 into 1 0.715 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.719 * [taylor]: Taking taylor expansion of 0 in im 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 0 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 (* 1 (* im 1)) into im 0.721 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.721 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.721 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.721 * [taylor]: Taking taylor expansion of re in im 0.722 * [backup-simplify]: Simplify re into re 0.722 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.722 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 0.723 * [backup-simplify]: Simplify (* 1 1) into 1 0.723 * [backup-simplify]: Simplify (/ 1 1) into 1 0.724 * [backup-simplify]: Simplify (+ 0 1) into 1 0.724 * [backup-simplify]: Simplify (sqrt 1) into 1 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.728 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.728 * [taylor]: Taking taylor expansion of re in re 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.729 * [backup-simplify]: Simplify (/ 1 1) into 1 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.729 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.729 * [taylor]: Taking taylor expansion of im in re 0.729 * [backup-simplify]: Simplify im into im 0.729 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.729 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.729 * [backup-simplify]: Simplify (+ 1 0) into 1 0.730 * [backup-simplify]: Simplify (sqrt 1) into 1 0.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.732 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.732 * [taylor]: Taking taylor expansion of re in re 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (* 1 1) into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.733 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.733 * [taylor]: Taking taylor expansion of im in re 0.733 * [backup-simplify]: Simplify im into im 0.733 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.733 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.733 * [backup-simplify]: Simplify (+ 1 0) into 1 0.734 * [backup-simplify]: Simplify (sqrt 1) into 1 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.736 * [taylor]: Taking taylor expansion of 1 in im 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of 0 in im 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.738 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.739 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.739 * [taylor]: Taking taylor expansion of 1/2 in im 0.739 * [backup-simplify]: Simplify 1/2 into 1/2 0.739 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.739 * [taylor]: Taking taylor expansion of im in im 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (* 1 1) into 1 0.739 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.743 * [taylor]: Taking taylor expansion of 0 in im 0.743 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.745 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.745 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.745 * [taylor]: Taking taylor expansion of (pow re 2) 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 (* re re) into (pow re 2) 0.746 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.746 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.746 * [taylor]: Taking taylor expansion of im in im 0.746 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (* 1 1) into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [backup-simplify]: Simplify (+ 0 1) into 1 0.775 * [backup-simplify]: Simplify (sqrt 1) into 1 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.789 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.789 * [taylor]: Taking taylor expansion of re in re 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (* 1 1) into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.790 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.790 * [taylor]: Taking taylor expansion of im in re 0.790 * [backup-simplify]: Simplify im into im 0.790 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.790 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.790 * [backup-simplify]: Simplify (+ 1 0) into 1 0.791 * [backup-simplify]: Simplify (sqrt 1) into 1 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 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 (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.795 * [backup-simplify]: Simplify (+ 1 0) into 1 0.795 * [backup-simplify]: Simplify (sqrt 1) into 1 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ 0 0) into 0 0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.797 * [taylor]: Taking taylor expansion of 1 in im 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [taylor]: Taking taylor expansion of 0 in im 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.800 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.800 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.800 * [taylor]: Taking taylor expansion of 1/2 in im 0.800 * [backup-simplify]: Simplify 1/2 into 1/2 0.800 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.800 * [taylor]: Taking taylor expansion of im in im 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.804 * [backup-simplify]: Simplify (+ 0 0) into 0 0.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.804 * [taylor]: Taking taylor expansion of 0 in im 0.804 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.806 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.806 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 0.806 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 0.806 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.806 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.806 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.806 * [taylor]: Taking taylor expansion of im in im 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.806 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.806 * [taylor]: Taking taylor expansion of re in im 0.806 * [backup-simplify]: Simplify re into re 0.806 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.806 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.806 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.806 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.807 * [taylor]: Taking taylor expansion of re in im 0.807 * [backup-simplify]: Simplify re into re 0.807 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.807 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.807 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.807 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.807 * [taylor]: Taking taylor expansion of im in re 0.807 * [backup-simplify]: Simplify im into im 0.807 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.807 * [taylor]: Taking taylor expansion of re in re 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.807 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.807 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.807 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.808 * [taylor]: Taking taylor expansion of re in re 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.808 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.808 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.808 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.808 * [taylor]: Taking taylor expansion of im in re 0.808 * [backup-simplify]: Simplify im into im 0.808 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.808 * [taylor]: Taking taylor expansion of re in re 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.808 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.808 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.808 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 (- 0) into 0 0.809 * [backup-simplify]: Simplify (+ im 0) into im 0.809 * [taylor]: Taking taylor expansion of im in im 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (- 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 0.810 * [backup-simplify]: Simplify -1 into -1 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.835 * [backup-simplify]: Simplify (* 1 1) into 1 0.836 * [backup-simplify]: Simplify (+ 0 1) into 1 0.837 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.837 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.838 * [taylor]: Taking taylor expansion of 1/2 in im 0.838 * [backup-simplify]: Simplify 1/2 into 1/2 0.838 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.838 * [taylor]: Taking taylor expansion of im in im 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (/ 1 1) into 1 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.843 * [backup-simplify]: Simplify (+ 0 0) into 0 0.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.844 * [backup-simplify]: Simplify (- 0) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [taylor]: Taking taylor expansion of 0 in im 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.849 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.849 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.849 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.849 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.849 * [taylor]: Taking taylor expansion of re in im 0.849 * [backup-simplify]: Simplify re into re 0.849 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.849 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.849 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.849 * [taylor]: Taking taylor expansion of im in im 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.852 * [backup-simplify]: Simplify (+ 0 1) into 1 0.852 * [backup-simplify]: Simplify (sqrt 1) into 1 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.856 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.856 * [taylor]: Taking taylor expansion of re in im 0.856 * [backup-simplify]: Simplify re into re 0.856 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.856 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.856 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.856 * [taylor]: Taking taylor expansion of re in re 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (* 1 1) into 1 0.857 * [backup-simplify]: Simplify (/ 1 1) into 1 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.857 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.857 * [taylor]: Taking taylor expansion of im in re 0.857 * [backup-simplify]: Simplify im into im 0.857 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.857 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.858 * [backup-simplify]: Simplify (+ 1 0) into 1 0.858 * [backup-simplify]: Simplify (sqrt 1) into 1 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (/ 1 1) into 1 0.862 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.862 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.862 * [taylor]: Taking taylor expansion of re in re 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (* 1 1) into 1 0.863 * [backup-simplify]: Simplify (/ 1 1) into 1 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.863 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.863 * [taylor]: Taking taylor expansion of im in re 0.863 * [backup-simplify]: Simplify im into im 0.863 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.863 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.863 * [backup-simplify]: Simplify (+ 1 0) into 1 0.864 * [backup-simplify]: Simplify (sqrt 1) into 1 0.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ 0 0) into 0 0.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.868 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (/ 1 1) into 1 0.869 * [backup-simplify]: Simplify (- 1) into -1 0.869 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.869 * [taylor]: Taking taylor expansion of 0 in im 0.869 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (- 0) into 0 0.871 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [taylor]: Taking taylor expansion of 0 in im 0.871 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.875 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (- 0) into 0 0.877 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.877 * [taylor]: Taking taylor expansion of 1/2 in im 0.877 * [backup-simplify]: Simplify 1/2 into 1/2 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.877 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.877 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (* 1 1) into 1 0.878 * [backup-simplify]: Simplify (/ 1 1) into 1 0.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.884 * [backup-simplify]: Simplify (+ 0 0) into 0 0.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (- 0) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [taylor]: Taking taylor expansion of 0 in im 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 0.892 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.893 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.893 * [taylor]: Taking taylor expansion of re in im 0.893 * [backup-simplify]: Simplify re into re 0.893 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.893 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.893 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.893 * [taylor]: Taking taylor expansion of re in im 0.893 * [backup-simplify]: Simplify re into re 0.893 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.893 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.893 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.893 * [taylor]: Taking taylor expansion of im in im 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (* 1 1) into 1 0.895 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [backup-simplify]: Simplify (+ 0 1) into 1 0.896 * [backup-simplify]: Simplify (sqrt 1) into 1 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.899 * [taylor]: Taking taylor expansion of re in re 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify (/ 1 1) into 1 0.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.900 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.900 * [taylor]: Taking taylor expansion of re in re 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (* 1 1) into 1 0.901 * [backup-simplify]: Simplify (/ 1 1) into 1 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.901 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.901 * [taylor]: Taking taylor expansion of im in re 0.901 * [backup-simplify]: Simplify im into im 0.901 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.901 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.902 * [backup-simplify]: Simplify (+ 1 0) into 1 0.902 * [backup-simplify]: Simplify (sqrt 1) into 1 0.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.905 * [taylor]: Taking taylor expansion of re in re 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.906 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.906 * [taylor]: Taking taylor expansion of re in re 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (/ 1 1) into 1 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.907 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.907 * [taylor]: Taking taylor expansion of im in re 0.907 * [backup-simplify]: Simplify im into im 0.907 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.907 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.908 * [backup-simplify]: Simplify (+ 1 0) into 1 0.908 * [backup-simplify]: Simplify (sqrt 1) into 1 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.913 * [backup-simplify]: Simplify (+ 1 1) into 2 0.913 * [taylor]: Taking taylor expansion of 2 in im 0.913 * [backup-simplify]: Simplify 2 into 2 0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [taylor]: Taking taylor expansion of 0 in im 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 2 into 2 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.920 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.920 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.920 * [taylor]: Taking taylor expansion of 1/2 in im 0.920 * [backup-simplify]: Simplify 1/2 into 1/2 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.920 * [taylor]: Taking taylor expansion of im in im 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (* 1 1) into 1 0.921 * [backup-simplify]: Simplify (/ 1 1) into 1 0.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.928 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [taylor]: Taking taylor expansion of 0 in im 0.929 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.933 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.934 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) 0.934 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0 0.934 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 0.934 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.934 * [taylor]: Taking taylor expansion of 2.0 in im 0.934 * [backup-simplify]: Simplify 2.0 into 2.0 0.934 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.935 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 0.935 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.935 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.935 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.935 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.935 * [taylor]: Taking taylor expansion of im in im 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.935 * [taylor]: Taking taylor expansion of re in im 0.935 * [backup-simplify]: Simplify re into re 0.936 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.936 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.936 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.936 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.938 * [taylor]: Taking taylor expansion of re in im 0.938 * [backup-simplify]: Simplify re into re 0.938 * [backup-simplify]: Simplify (- re) into (- re) 0.939 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.940 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [backup-simplify]: Simplify (* 1 1) into 1 0.941 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.942 * [backup-simplify]: Simplify (+ 1 0) into 1 0.942 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.943 * [backup-simplify]: Simplify (- 0) into 0 0.943 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.943 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.945 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.945 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.946 * [backup-simplify]: Simplify (- 0) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.947 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.947 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.947 * [taylor]: Taking taylor expansion of 2.0 in re 0.947 * [backup-simplify]: Simplify 2.0 into 2.0 0.947 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.948 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.948 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.948 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.948 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.948 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.948 * [taylor]: Taking taylor expansion of im in re 0.948 * [backup-simplify]: Simplify im into im 0.948 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.948 * [taylor]: Taking taylor expansion of re in re 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.949 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.949 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.949 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.949 * [taylor]: Taking taylor expansion of re in re 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (- 0) into 0 0.950 * [backup-simplify]: Simplify (+ im 0) into im 0.950 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.951 * [backup-simplify]: Simplify (- 1) into -1 0.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.951 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.951 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.951 * [taylor]: Taking taylor expansion of 2.0 in re 0.951 * [backup-simplify]: Simplify 2.0 into 2.0 0.952 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.953 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.953 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.953 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.953 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.953 * [taylor]: Taking taylor expansion of im in re 0.953 * [backup-simplify]: Simplify im into im 0.953 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.953 * [taylor]: Taking taylor expansion of re in re 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.953 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.953 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.954 * [taylor]: Taking taylor expansion of re in re 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.955 * [backup-simplify]: Simplify (- 0) into 0 0.955 * [backup-simplify]: Simplify (+ im 0) into im 0.955 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.955 * [backup-simplify]: Simplify (- 1) into -1 0.956 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.956 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.957 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.957 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.957 * [taylor]: Taking taylor expansion of 2.0 in im 0.957 * [backup-simplify]: Simplify 2.0 into 2.0 0.957 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.958 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.958 * [taylor]: Taking taylor expansion of im in im 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (sqrt 0) into 0 0.961 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.963 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.965 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.966 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.966 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.966 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.966 * [taylor]: Taking taylor expansion of 1/2 in im 0.966 * [backup-simplify]: Simplify 1/2 into 1/2 0.966 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.966 * [taylor]: Taking taylor expansion of 2.0 in im 0.966 * [backup-simplify]: Simplify 2.0 into 2.0 0.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.967 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.968 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.968 * [taylor]: Taking taylor expansion of im in im 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (/ 1 1) into 1 0.968 * [backup-simplify]: Simplify (sqrt 0) into 0 0.970 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.976 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.979 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.981 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.982 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.994 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.997 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.998 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.002 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.004 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.007 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.009 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.014 * [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) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 1.015 * [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 re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 1.016 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 1.016 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 1.016 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.016 * [taylor]: Taking taylor expansion of 2.0 in im 1.016 * [backup-simplify]: Simplify 2.0 into 2.0 1.016 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.017 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 1.017 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 1.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.017 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.017 * [taylor]: Taking taylor expansion of re in im 1.017 * [backup-simplify]: Simplify re into re 1.018 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.018 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.018 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.018 * [taylor]: Taking taylor expansion of im in im 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (* 1 1) into 1 1.019 * [backup-simplify]: Simplify (/ 1 1) into 1 1.019 * [backup-simplify]: Simplify (+ 0 1) into 1 1.019 * [backup-simplify]: Simplify (sqrt 1) into 1 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.022 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.022 * [taylor]: Taking taylor expansion of re in im 1.022 * [backup-simplify]: Simplify re into re 1.022 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.022 * [backup-simplify]: Simplify (+ 1 0) into 1 1.023 * [backup-simplify]: Simplify (sqrt 0) into 0 1.024 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.024 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 1.024 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.024 * [taylor]: Taking taylor expansion of 2.0 in re 1.024 * [backup-simplify]: Simplify 2.0 into 2.0 1.025 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.026 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 1.026 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.026 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.026 * [taylor]: Taking taylor expansion of re in re 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (* 1 1) into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.027 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.027 * [taylor]: Taking taylor expansion of im in re 1.027 * [backup-simplify]: Simplify im into im 1.027 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.027 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.027 * [backup-simplify]: Simplify (+ 1 0) into 1 1.028 * [backup-simplify]: Simplify (sqrt 1) into 1 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.030 * [taylor]: Taking taylor expansion of re in re 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [backup-simplify]: Simplify (/ 1 1) into 1 1.031 * [backup-simplify]: Simplify (- 1) into -1 1.031 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (- 0) into 0 1.033 * [backup-simplify]: Simplify (+ 0 0) into 0 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.036 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (- 0) into 0 1.038 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.038 * [backup-simplify]: Simplify (sqrt 0) into 0 1.039 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.039 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 1.039 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.039 * [taylor]: Taking taylor expansion of 2.0 in re 1.039 * [backup-simplify]: Simplify 2.0 into 2.0 1.040 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.041 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 1.041 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.041 * [taylor]: Taking taylor expansion of re in re 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (* 1 1) into 1 1.042 * [backup-simplify]: Simplify (/ 1 1) into 1 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.042 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.042 * [taylor]: Taking taylor expansion of im in re 1.042 * [backup-simplify]: Simplify im into im 1.042 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.042 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.042 * [backup-simplify]: Simplify (+ 1 0) into 1 1.043 * [backup-simplify]: Simplify (sqrt 1) into 1 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.045 * [taylor]: Taking taylor expansion of (/ 1 re) 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) into -1 1.047 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (- 0) into 0 1.048 * [backup-simplify]: Simplify (+ 0 0) into 0 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.052 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.053 * [backup-simplify]: Simplify (- 0) into 0 1.053 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.053 * [backup-simplify]: Simplify (sqrt 0) into 0 1.054 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.055 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.055 * [taylor]: Taking taylor expansion of 0 in im 1.055 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 1.056 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.056 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.056 * [taylor]: Taking taylor expansion of +nan.0 in im 1.056 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.056 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.056 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.056 * [taylor]: Taking taylor expansion of 2.0 in im 1.056 * [backup-simplify]: Simplify 2.0 into 2.0 1.056 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.057 * [taylor]: Taking taylor expansion of im in im 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify (* 1 1) into 1 1.059 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.062 * [backup-simplify]: Simplify (- 0) into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (- 0) into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.068 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 1.069 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.070 * [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)))) 1.070 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.070 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.070 * [taylor]: Taking taylor expansion of +nan.0 in im 1.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.070 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.070 * [taylor]: Taking taylor expansion of 2.0 in im 1.070 * [backup-simplify]: Simplify 2.0 into 2.0 1.071 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.072 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.072 * [taylor]: Taking taylor expansion of im in im 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (* 1 1) into 1 1.073 * [backup-simplify]: Simplify (* 1 1) into 1 1.073 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.081 * [backup-simplify]: Simplify (- 0) into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.084 * [backup-simplify]: Simplify (- 0) into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 1.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.088 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 1.088 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 1.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.090 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 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)))))) 1.090 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.090 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.090 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.090 * [taylor]: Taking taylor expansion of +nan.0 in im 1.090 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.090 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.090 * [taylor]: Taking taylor expansion of 2.0 in im 1.090 * [backup-simplify]: Simplify 2.0 into 2.0 1.091 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.091 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.091 * [taylor]: Taking taylor expansion of im in im 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (* 1 1) into 1 1.092 * [backup-simplify]: Simplify (* 1 1) into 1 1.092 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.092 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.092 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.092 * [taylor]: Taking taylor expansion of +nan.0 in im 1.092 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.092 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.092 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.092 * [taylor]: Taking taylor expansion of 2.0 in im 1.092 * [backup-simplify]: Simplify 2.0 into 2.0 1.093 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.093 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.093 * [taylor]: Taking taylor expansion of im in im 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (* 1 1) into 1 1.094 * [backup-simplify]: Simplify (* 1 1) into 1 1.094 * [backup-simplify]: Simplify (* 1 1) into 1 1.094 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.095 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.102 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.104 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.127 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 1.127 * [backup-simplify]: Simplify (- 0) into 0 1.128 * [backup-simplify]: Simplify (+ 0 0) into 0 1.128 * [backup-simplify]: Simplify (- 0) into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [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 re 2)) (/ 1 (pow im 2))))))) 1.128 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 1.128 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 1.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.128 * [taylor]: Taking taylor expansion of 2.0 in im 1.128 * [backup-simplify]: Simplify 2.0 into 2.0 1.128 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.129 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.129 * [taylor]: Taking taylor expansion of re in im 1.129 * [backup-simplify]: Simplify re into re 1.129 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.129 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.129 * [taylor]: Taking taylor expansion of re in im 1.129 * [backup-simplify]: Simplify re into re 1.129 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.129 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.129 * [taylor]: Taking taylor expansion of im in im 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (* 1 1) into 1 1.130 * [backup-simplify]: Simplify (/ 1 1) into 1 1.130 * [backup-simplify]: Simplify (+ 0 1) into 1 1.130 * [backup-simplify]: Simplify (sqrt 1) into 1 1.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.132 * [backup-simplify]: Simplify (+ 0 1) into 1 1.132 * [backup-simplify]: Simplify (sqrt 0) into 0 1.133 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.133 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 1.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.133 * [taylor]: Taking taylor expansion of 2.0 in re 1.133 * [backup-simplify]: Simplify 2.0 into 2.0 1.134 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.134 * [taylor]: Taking taylor expansion of re in re 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [backup-simplify]: Simplify (/ 1 1) into 1 1.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.134 * [taylor]: Taking taylor expansion of re in re 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.135 * [backup-simplify]: Simplify (* 1 1) into 1 1.135 * [backup-simplify]: Simplify (/ 1 1) into 1 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.135 * [taylor]: Taking taylor expansion of im in re 1.135 * [backup-simplify]: Simplify im into im 1.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.135 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.135 * [backup-simplify]: Simplify (+ 1 0) into 1 1.136 * [backup-simplify]: Simplify (sqrt 1) into 1 1.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.137 * [backup-simplify]: Simplify (+ 1 1) into 2 1.138 * [backup-simplify]: Simplify (sqrt 0) into 0 1.138 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.139 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 1.139 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.139 * [taylor]: Taking taylor expansion of 2.0 in re 1.139 * [backup-simplify]: Simplify 2.0 into 2.0 1.139 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.139 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.139 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.139 * [taylor]: Taking taylor expansion of re in re 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (/ 1 1) into 1 1.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.140 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.140 * [taylor]: Taking taylor expansion of re in re 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (* 1 1) into 1 1.140 * [backup-simplify]: Simplify (/ 1 1) into 1 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.140 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.140 * [taylor]: Taking taylor expansion of im in re 1.140 * [backup-simplify]: Simplify im into im 1.140 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.140 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.141 * [backup-simplify]: Simplify (+ 1 0) into 1 1.141 * [backup-simplify]: Simplify (sqrt 1) into 1 1.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.142 * [backup-simplify]: Simplify (+ 0 0) into 0 1.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.143 * [backup-simplify]: Simplify (+ 1 1) into 2 1.143 * [backup-simplify]: Simplify (sqrt 0) into 0 1.144 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.144 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.144 * [taylor]: Taking taylor expansion of 0 in im 1.144 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.146 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.146 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.146 * [taylor]: Taking taylor expansion of +nan.0 in im 1.146 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.146 * [taylor]: Taking taylor expansion of 2.0 in im 1.146 * [backup-simplify]: Simplify 2.0 into 2.0 1.146 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.147 * [backup-simplify]: Simplify (+ 0 0) into 0 1.149 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.150 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.152 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.152 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.152 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.152 * [taylor]: Taking taylor expansion of +nan.0 in im 1.152 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.152 * [taylor]: Taking taylor expansion of 2.0 in im 1.152 * [backup-simplify]: Simplify 2.0 into 2.0 1.152 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.153 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.154 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.155 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.157 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.158 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.158 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.159 * [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)) 1.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.161 * [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)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 1.161 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.161 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.161 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.161 * [taylor]: Taking taylor expansion of +nan.0 in im 1.161 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.161 * [taylor]: Taking taylor expansion of 2.0 in im 1.161 * [backup-simplify]: Simplify 2.0 into 2.0 1.161 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.161 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.161 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.161 * [taylor]: Taking taylor expansion of +nan.0 in im 1.161 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.161 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.162 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.162 * [taylor]: Taking taylor expansion of 2.0 in im 1.162 * [backup-simplify]: Simplify 2.0 into 2.0 1.162 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.162 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.162 * [taylor]: Taking taylor expansion of im in im 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.163 * [backup-simplify]: Simplify (* 1 1) into 1 1.163 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.165 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.165 * [backup-simplify]: Simplify (- 0) into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [backup-simplify]: Simplify (- 0) into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.167 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.168 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.168 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.168 * [backup-simplify]: Simplify (- 0) into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.171 * [backup-simplify]: Simplify (+ 0 0) into 0 1.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.171 * [backup-simplify]: Simplify (+ 0 0) into 0 1.172 * [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))) 1.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.174 * [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)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 1.174 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.174 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.174 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.174 * [taylor]: Taking taylor expansion of +nan.0 in im 1.174 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.174 * [taylor]: Taking taylor expansion of 2.0 in im 1.174 * [backup-simplify]: Simplify 2.0 into 2.0 1.175 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.175 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.175 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.175 * [taylor]: Taking taylor expansion of +nan.0 in im 1.175 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.175 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.175 * [taylor]: Taking taylor expansion of 2.0 in im 1.175 * [backup-simplify]: Simplify 2.0 into 2.0 1.175 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.176 * [taylor]: Taking taylor expansion of im in im 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 1 into 1 1.176 * [backup-simplify]: Simplify (* 1 1) into 1 1.177 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.179 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.179 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.180 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.182 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.183 * [backup-simplify]: Simplify (- 0) into 0 1.184 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.185 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.186 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.189 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 1.189 * * * [progress]: simplifying candidates 1.189 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 1.189 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 1.189 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 1.189 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 1.189 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 1.189 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 1.189 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 1.189 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 1.189 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 1.189 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 16 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.190 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 1.190 * * * * [progress]: [ 32 / 55 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.191 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 37 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 46 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.191 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 49 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 1.191 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 1.192 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) (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)))) (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 1.193 * * [simplify]: iteration 1: (109 enodes) 1.224 * * [simplify]: iteration 2: (231 enodes) 1.286 * * [simplify]: iteration 3: (663 enodes) 1.600 * * [simplify]: Extracting #0: cost 50 inf + 0 1.600 * * [simplify]: Extracting #1: cost 143 inf + 5 1.604 * * [simplify]: Extracting #2: cost 375 inf + 1294 1.615 * * [simplify]: Extracting #3: cost 398 inf + 21824 1.648 * * [simplify]: Extracting #4: cost 149 inf + 66042 1.678 * * [simplify]: Extracting #5: cost 27 inf + 98569 1.698 * * [simplify]: Extracting #6: cost 5 inf + 106234 1.719 * * [simplify]: Extracting #7: cost 0 inf + 108119 1.741 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (exp (- (sqrt (+ (* im im) (* re re))) re)) (log (- (sqrt (+ (* im im) (* re re))) re)) (exp (- (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)) (+ (* re re) (* (sqrt (+ (* im im) (* re re))) (+ (sqrt (+ (* im im) (* re re))) re))) (- re) (+ (* im im) 0) (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (+ (* im im) (* re re))) re) (- re) (real->posit16 (- (sqrt (+ (* im im) (* re re))) re)) (log (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (exp (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (* (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)))) (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (* (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)) (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)) (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)) 2.0)) (sqrt (+ (* re re) (* (sqrt (+ (* im im) (* re re))) (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (sqrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (real->posit16 (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) im re (- re) (- im re) 0 (* -2 re) (- (+ (* (* +nan.0 (sqrt 2.0)) im) (* (* (* +nan.0 (sqrt 2.0)) im) (- re im)))) 0 (- (* +nan.0 (- (sqrt 2.0) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))))) 1.745 * * * [progress]: adding candidates to table 2.284 * * [progress]: iteration 2 / 4 2.284 * * * [progress]: picking best candidate 2.332 * * * * [pick]: Picked # 2.332 * * * [progress]: localizing error 2.377 * * * [progress]: generating rewritten candidates 2.377 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.385 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.391 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.427 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 2.477 * * * [progress]: generating series expansions 2.477 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 2.478 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.478 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.478 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.478 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.478 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.478 * [taylor]: Taking taylor expansion of im in im 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.478 * [taylor]: Taking taylor expansion of re in im 2.478 * [backup-simplify]: Simplify re into re 2.478 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.478 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.478 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.478 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.479 * [backup-simplify]: Simplify (+ 0 0) into 0 2.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.479 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.479 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.480 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.480 * [taylor]: Taking taylor expansion of im in re 2.480 * [backup-simplify]: Simplify im into im 2.480 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.480 * [taylor]: Taking taylor expansion of re in re 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 1 into 1 2.480 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.480 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.480 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.480 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.481 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.481 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.481 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.481 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.481 * [taylor]: Taking taylor expansion of im in re 2.481 * [backup-simplify]: Simplify im into im 2.481 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.481 * [taylor]: Taking taylor expansion of re in re 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.481 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.481 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.481 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.482 * [backup-simplify]: Simplify (+ 0 0) into 0 2.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.482 * [taylor]: Taking taylor expansion of im in im 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [taylor]: Taking taylor expansion of 0 in im 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.483 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.483 * [backup-simplify]: Simplify (* 1 1) into 1 2.484 * [backup-simplify]: Simplify (+ 0 1) into 1 2.484 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.484 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.484 * [taylor]: Taking taylor expansion of 1/2 in im 2.484 * [backup-simplify]: Simplify 1/2 into 1/2 2.484 * [taylor]: Taking taylor expansion of im in im 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.488 * [backup-simplify]: Simplify (+ 0 0) into 0 2.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.488 * [taylor]: Taking taylor expansion of 0 in im 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.490 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.490 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.490 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.490 * [taylor]: Taking taylor expansion of re in im 2.490 * [backup-simplify]: Simplify re into re 2.490 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.490 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.490 * [taylor]: Taking taylor expansion of im in im 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (* 1 1) into 1 2.491 * [backup-simplify]: Simplify (/ 1 1) into 1 2.492 * [backup-simplify]: Simplify (+ 0 1) into 1 2.492 * [backup-simplify]: Simplify (sqrt 1) into 1 2.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.494 * [backup-simplify]: Simplify (+ 0 0) into 0 2.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.495 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.495 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.495 * [taylor]: Taking taylor expansion of re in re 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify (* 1 1) into 1 2.495 * [backup-simplify]: Simplify (/ 1 1) into 1 2.495 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.496 * [taylor]: Taking taylor expansion of im in re 2.496 * [backup-simplify]: Simplify im into im 2.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.496 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.496 * [backup-simplify]: Simplify (+ 1 0) into 1 2.496 * [backup-simplify]: Simplify (sqrt 1) into 1 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.498 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.498 * [taylor]: Taking taylor expansion of re in re 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 1 into 1 2.499 * [backup-simplify]: Simplify (* 1 1) into 1 2.499 * [backup-simplify]: Simplify (/ 1 1) into 1 2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.499 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.499 * [taylor]: Taking taylor expansion of im in re 2.499 * [backup-simplify]: Simplify im into im 2.499 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.499 * [backup-simplify]: Simplify (+ 1 0) into 1 2.499 * [backup-simplify]: Simplify (sqrt 1) into 1 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (+ 0 0) into 0 2.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.501 * [taylor]: Taking taylor expansion of 1 in im 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [taylor]: Taking taylor expansion of 0 in im 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.502 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.503 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.503 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.503 * [taylor]: Taking taylor expansion of 1/2 in im 2.503 * [backup-simplify]: Simplify 1/2 into 1/2 2.503 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.503 * [taylor]: Taking taylor expansion of im in im 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify 1 into 1 2.504 * [backup-simplify]: Simplify (* 1 1) into 1 2.504 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.506 * [backup-simplify]: Simplify (+ 0 0) into 0 2.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.507 * [taylor]: Taking taylor expansion of 0 in im 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.508 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.508 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.508 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.509 * [taylor]: Taking taylor expansion of re in im 2.509 * [backup-simplify]: Simplify re into re 2.509 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.509 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.509 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.509 * [taylor]: Taking taylor expansion of im in im 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (* 1 1) into 1 2.509 * [backup-simplify]: Simplify (/ 1 1) into 1 2.509 * [backup-simplify]: Simplify (+ 0 1) into 1 2.510 * [backup-simplify]: Simplify (sqrt 1) into 1 2.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.511 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.511 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.511 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.511 * [taylor]: Taking taylor expansion of re in re 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (* 1 1) into 1 2.515 * [backup-simplify]: Simplify (/ 1 1) into 1 2.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.515 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.515 * [taylor]: Taking taylor expansion of im in re 2.515 * [backup-simplify]: Simplify im into im 2.515 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.515 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.516 * [backup-simplify]: Simplify (+ 1 0) into 1 2.516 * [backup-simplify]: Simplify (sqrt 1) into 1 2.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.517 * [backup-simplify]: Simplify (+ 0 0) into 0 2.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.518 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.518 * [taylor]: Taking taylor expansion of re in re 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [backup-simplify]: Simplify (* 1 1) into 1 2.518 * [backup-simplify]: Simplify (/ 1 1) into 1 2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.518 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.518 * [taylor]: Taking taylor expansion of im in re 2.518 * [backup-simplify]: Simplify im into im 2.518 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.518 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.519 * [backup-simplify]: Simplify (+ 1 0) into 1 2.519 * [backup-simplify]: Simplify (sqrt 1) into 1 2.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.520 * [taylor]: Taking taylor expansion of 1 in im 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [taylor]: Taking taylor expansion of 0 in im 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.522 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.522 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.523 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.523 * [taylor]: Taking taylor expansion of 1/2 in im 2.523 * [backup-simplify]: Simplify 1/2 into 1/2 2.523 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.523 * [taylor]: Taking taylor expansion of im in im 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.523 * [backup-simplify]: Simplify (* 1 1) into 1 2.523 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.527 * [backup-simplify]: Simplify (+ 0 0) into 0 2.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.527 * [taylor]: Taking taylor expansion of 0 in im 2.527 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.530 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 2.530 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.530 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.530 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.530 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.530 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.530 * [taylor]: Taking taylor expansion of im in im 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.530 * [taylor]: Taking taylor expansion of re in im 2.530 * [backup-simplify]: Simplify re into re 2.530 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.531 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.531 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.531 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.531 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.531 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.531 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.531 * [taylor]: Taking taylor expansion of im in re 2.531 * [backup-simplify]: Simplify im into im 2.531 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.532 * [taylor]: Taking taylor expansion of re in re 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.532 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.532 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.532 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.532 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.532 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.532 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.532 * [taylor]: Taking taylor expansion of im in re 2.533 * [backup-simplify]: Simplify im into im 2.533 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.533 * [taylor]: Taking taylor expansion of re in re 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.533 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.533 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.533 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.533 * [backup-simplify]: Simplify (+ 0 0) into 0 2.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.533 * [taylor]: Taking taylor expansion of im in im 2.533 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [taylor]: Taking taylor expansion of 0 in im 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.535 * [backup-simplify]: Simplify (* 1 1) into 1 2.535 * [backup-simplify]: Simplify (+ 0 1) into 1 2.536 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.536 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.536 * [taylor]: Taking taylor expansion of 1/2 in im 2.536 * [backup-simplify]: Simplify 1/2 into 1/2 2.536 * [taylor]: Taking taylor expansion of im in im 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 1 into 1 2.536 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.539 * [taylor]: Taking taylor expansion of 0 in im 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.541 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.541 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.541 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.541 * [taylor]: Taking taylor expansion of re in im 2.541 * [backup-simplify]: Simplify re into re 2.541 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.541 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.541 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.541 * [taylor]: Taking taylor expansion of im in im 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 1 into 1 2.542 * [backup-simplify]: Simplify (* 1 1) into 1 2.542 * [backup-simplify]: Simplify (/ 1 1) into 1 2.543 * [backup-simplify]: Simplify (+ 0 1) into 1 2.543 * [backup-simplify]: Simplify (sqrt 1) into 1 2.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.545 * [backup-simplify]: Simplify (+ 0 0) into 0 2.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.546 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.546 * [taylor]: Taking taylor expansion of re in re 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 1 into 1 2.546 * [backup-simplify]: Simplify (* 1 1) into 1 2.546 * [backup-simplify]: Simplify (/ 1 1) into 1 2.546 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.546 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.547 * [taylor]: Taking taylor expansion of im in re 2.547 * [backup-simplify]: Simplify im into im 2.547 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.547 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.547 * [backup-simplify]: Simplify (+ 1 0) into 1 2.548 * [backup-simplify]: Simplify (sqrt 1) into 1 2.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.549 * [backup-simplify]: Simplify (+ 0 0) into 0 2.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.550 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.550 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.550 * [taylor]: Taking taylor expansion of re in re 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 1 into 1 2.551 * [backup-simplify]: Simplify (* 1 1) into 1 2.551 * [backup-simplify]: Simplify (/ 1 1) into 1 2.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.551 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.551 * [taylor]: Taking taylor expansion of im in re 2.551 * [backup-simplify]: Simplify im into im 2.551 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.551 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.552 * [backup-simplify]: Simplify (+ 1 0) into 1 2.552 * [backup-simplify]: Simplify (sqrt 1) into 1 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (+ 0 0) into 0 2.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.555 * [taylor]: Taking taylor expansion of 1 in im 2.555 * [backup-simplify]: Simplify 1 into 1 2.555 * [taylor]: Taking taylor expansion of 0 in im 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 1 into 1 2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.557 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.559 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.559 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.559 * [taylor]: Taking taylor expansion of 1/2 in im 2.559 * [backup-simplify]: Simplify 1/2 into 1/2 2.559 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.559 * [taylor]: Taking taylor expansion of im in im 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 1 into 1 2.559 * [backup-simplify]: Simplify (* 1 1) into 1 2.560 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.563 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.564 * [backup-simplify]: Simplify (+ 0 0) into 0 2.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.565 * [taylor]: Taking taylor expansion of 0 in im 2.565 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.566 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.566 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.566 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.566 * [taylor]: Taking taylor expansion of re in im 2.566 * [backup-simplify]: Simplify re into re 2.566 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.566 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.566 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.566 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.567 * [taylor]: Taking taylor expansion of im in im 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (* 1 1) into 1 2.567 * [backup-simplify]: Simplify (/ 1 1) into 1 2.567 * [backup-simplify]: Simplify (+ 0 1) into 1 2.568 * [backup-simplify]: Simplify (sqrt 1) into 1 2.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.569 * [backup-simplify]: Simplify (+ 0 0) into 0 2.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.570 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.570 * [taylor]: Taking taylor expansion of re in re 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [backup-simplify]: Simplify (* 1 1) into 1 2.570 * [backup-simplify]: Simplify (/ 1 1) into 1 2.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.570 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.570 * [taylor]: Taking taylor expansion of im in re 2.570 * [backup-simplify]: Simplify im into im 2.570 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.571 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.571 * [backup-simplify]: Simplify (+ 1 0) into 1 2.571 * [backup-simplify]: Simplify (sqrt 1) into 1 2.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.572 * [backup-simplify]: Simplify (+ 0 0) into 0 2.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.573 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.573 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.573 * [taylor]: Taking taylor expansion of re in re 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 1 into 1 2.573 * [backup-simplify]: Simplify (* 1 1) into 1 2.573 * [backup-simplify]: Simplify (/ 1 1) into 1 2.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.573 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.573 * [taylor]: Taking taylor expansion of im in re 2.573 * [backup-simplify]: Simplify im into im 2.573 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.573 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.574 * [backup-simplify]: Simplify (+ 1 0) into 1 2.574 * [backup-simplify]: Simplify (sqrt 1) into 1 2.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.575 * [backup-simplify]: Simplify (+ 0 0) into 0 2.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.576 * [taylor]: Taking taylor expansion of 1 in im 2.576 * [backup-simplify]: Simplify 1 into 1 2.576 * [taylor]: Taking taylor expansion of 0 in im 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 1 into 1 2.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.577 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.578 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.578 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.578 * [taylor]: Taking taylor expansion of 1/2 in im 2.578 * [backup-simplify]: Simplify 1/2 into 1/2 2.578 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.578 * [taylor]: Taking taylor expansion of im in im 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.578 * [backup-simplify]: Simplify (* 1 1) into 1 2.579 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.581 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.581 * [backup-simplify]: Simplify (+ 0 0) into 0 2.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.582 * [taylor]: Taking taylor expansion of 0 in im 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.583 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.583 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 2.583 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 2.583 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.583 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.583 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.583 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.583 * [taylor]: Taking taylor expansion of im in im 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 1 into 1 2.584 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.584 * [taylor]: Taking taylor expansion of re in im 2.584 * [backup-simplify]: Simplify re into re 2.584 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.584 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.584 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.584 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.584 * [backup-simplify]: Simplify (+ 0 0) into 0 2.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.584 * [taylor]: Taking taylor expansion of re in im 2.584 * [backup-simplify]: Simplify re into re 2.584 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.584 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.584 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.584 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.584 * [taylor]: Taking taylor expansion of im in re 2.584 * [backup-simplify]: Simplify im into im 2.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.584 * [taylor]: Taking taylor expansion of re in re 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 1 into 1 2.584 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.584 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.584 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.584 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.585 * [backup-simplify]: Simplify (+ 0 0) into 0 2.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.585 * [taylor]: Taking taylor expansion of re in re 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.585 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.585 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.585 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.585 * [taylor]: Taking taylor expansion of im in re 2.585 * [backup-simplify]: Simplify im into im 2.585 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.585 * [taylor]: Taking taylor expansion of re in re 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.585 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.585 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.585 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.585 * [backup-simplify]: Simplify (+ 0 0) into 0 2.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.586 * [taylor]: Taking taylor expansion of re in re 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 1 into 1 2.586 * [backup-simplify]: Simplify (- 0) into 0 2.586 * [backup-simplify]: Simplify (+ im 0) into im 2.586 * [taylor]: Taking taylor expansion of im in im 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 1 into 1 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify (- 1) into -1 2.586 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.587 * [taylor]: Taking taylor expansion of -1 in im 2.587 * [backup-simplify]: Simplify -1 into -1 2.587 * [backup-simplify]: Simplify -1 into -1 2.587 * [backup-simplify]: Simplify 1 into 1 2.587 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.587 * [backup-simplify]: Simplify (* 1 1) into 1 2.587 * [backup-simplify]: Simplify (+ 0 1) into 1 2.588 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.588 * [backup-simplify]: Simplify (- 0) into 0 2.588 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.588 * [taylor]: Taking taylor expansion of 1/2 in im 2.588 * [backup-simplify]: Simplify 1/2 into 1/2 2.588 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.588 * [taylor]: Taking taylor expansion of im in im 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (/ 1 1) into 1 2.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.591 * [backup-simplify]: Simplify (+ 0 0) into 0 2.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.591 * [backup-simplify]: Simplify (- 0) into 0 2.591 * [backup-simplify]: Simplify (+ 0 0) into 0 2.591 * [taylor]: Taking taylor expansion of 0 in im 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.593 * [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 re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 2.593 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 2.593 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.593 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.593 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.593 * [taylor]: Taking taylor expansion of re in im 2.593 * [backup-simplify]: Simplify re into re 2.593 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.593 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.593 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.593 * [taylor]: Taking taylor expansion of im in im 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (* 1 1) into 1 2.594 * [backup-simplify]: Simplify (/ 1 1) into 1 2.594 * [backup-simplify]: Simplify (+ 0 1) into 1 2.594 * [backup-simplify]: Simplify (sqrt 1) into 1 2.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.595 * [backup-simplify]: Simplify (+ 0 0) into 0 2.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.596 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.596 * [taylor]: Taking taylor expansion of re in im 2.596 * [backup-simplify]: Simplify re into re 2.596 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.596 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.596 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.596 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.596 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.596 * [taylor]: Taking taylor expansion of re in re 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [backup-simplify]: Simplify (* 1 1) into 1 2.597 * [backup-simplify]: Simplify (/ 1 1) into 1 2.597 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.597 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.597 * [taylor]: Taking taylor expansion of im in re 2.597 * [backup-simplify]: Simplify im into im 2.597 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.597 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.597 * [backup-simplify]: Simplify (+ 1 0) into 1 2.597 * [backup-simplify]: Simplify (sqrt 1) into 1 2.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (+ 0 0) into 0 2.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.599 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.599 * [taylor]: Taking taylor expansion of re in re 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify 1 into 1 2.599 * [backup-simplify]: Simplify (/ 1 1) into 1 2.599 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.599 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.599 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.599 * [taylor]: Taking taylor expansion of re in re 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify 1 into 1 2.600 * [backup-simplify]: Simplify (* 1 1) into 1 2.600 * [backup-simplify]: Simplify (/ 1 1) into 1 2.600 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.600 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.600 * [taylor]: Taking taylor expansion of im in re 2.600 * [backup-simplify]: Simplify im into im 2.600 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.600 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.600 * [backup-simplify]: Simplify (+ 1 0) into 1 2.601 * [backup-simplify]: Simplify (sqrt 1) into 1 2.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.602 * [backup-simplify]: Simplify (+ 0 0) into 0 2.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.602 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.602 * [taylor]: Taking taylor expansion of re in re 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.603 * [backup-simplify]: Simplify (- 1) into -1 2.603 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.603 * [taylor]: Taking taylor expansion of 0 in im 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.604 * [backup-simplify]: Simplify (- 0) into 0 2.604 * [backup-simplify]: Simplify (+ 0 0) into 0 2.604 * [taylor]: Taking taylor expansion of 0 in im 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.605 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.606 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.607 * [backup-simplify]: Simplify (- 0) into 0 2.607 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.607 * [taylor]: Taking taylor expansion of 1/2 in im 2.607 * [backup-simplify]: Simplify 1/2 into 1/2 2.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.607 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.607 * [taylor]: Taking taylor expansion of im in im 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 1 into 1 2.607 * [backup-simplify]: Simplify (* 1 1) into 1 2.608 * [backup-simplify]: Simplify (/ 1 1) into 1 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.612 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.612 * [backup-simplify]: Simplify (+ 0 0) into 0 2.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.615 * [backup-simplify]: Simplify (- 0) into 0 2.615 * [backup-simplify]: Simplify (+ 0 0) into 0 2.615 * [taylor]: Taking taylor expansion of 0 in im 2.615 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [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 re 2)) (/ 1 (pow im 2))))) 2.618 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 2.618 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.618 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.619 * [taylor]: Taking taylor expansion of re in im 2.619 * [backup-simplify]: Simplify re into re 2.619 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.619 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.619 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.619 * [taylor]: Taking taylor expansion of re in im 2.619 * [backup-simplify]: Simplify re into re 2.619 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.619 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.619 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.619 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.619 * [taylor]: Taking taylor expansion of im in im 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (* 1 1) into 1 2.620 * [backup-simplify]: Simplify (/ 1 1) into 1 2.620 * [backup-simplify]: Simplify (+ 0 1) into 1 2.620 * [backup-simplify]: Simplify (sqrt 1) into 1 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify (+ 0 0) into 0 2.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.622 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.622 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.622 * [taylor]: Taking taylor expansion of re in re 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.622 * [backup-simplify]: Simplify (/ 1 1) into 1 2.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.622 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.622 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.623 * [taylor]: Taking taylor expansion of re in re 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (* 1 1) into 1 2.623 * [backup-simplify]: Simplify (/ 1 1) into 1 2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.623 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.623 * [taylor]: Taking taylor expansion of im in re 2.623 * [backup-simplify]: Simplify im into im 2.623 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.623 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.624 * [backup-simplify]: Simplify (+ 1 0) into 1 2.624 * [backup-simplify]: Simplify (sqrt 1) into 1 2.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.626 * [backup-simplify]: Simplify (+ 0 0) into 0 2.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.627 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.627 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.627 * [taylor]: Taking taylor expansion of re in re 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify (/ 1 1) into 1 2.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.627 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.627 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.627 * [taylor]: Taking taylor expansion of re in re 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.628 * [backup-simplify]: Simplify (* 1 1) into 1 2.628 * [backup-simplify]: Simplify (/ 1 1) into 1 2.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.628 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.628 * [taylor]: Taking taylor expansion of im in re 2.628 * [backup-simplify]: Simplify im into im 2.628 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.628 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.632 * [backup-simplify]: Simplify (+ 1 0) into 1 2.632 * [backup-simplify]: Simplify (sqrt 1) into 1 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (+ 0 0) into 0 2.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.634 * [backup-simplify]: Simplify (+ 1 1) into 2 2.635 * [taylor]: Taking taylor expansion of 2 in im 2.635 * [backup-simplify]: Simplify 2 into 2 2.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.635 * [backup-simplify]: Simplify (+ 0 0) into 0 2.635 * [taylor]: Taking taylor expansion of 0 in im 2.635 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify 2 into 2 2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.638 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.638 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.638 * [taylor]: Taking taylor expansion of 1/2 in im 2.638 * [backup-simplify]: Simplify 1/2 into 1/2 2.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.638 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.638 * [taylor]: Taking taylor expansion of im in im 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 1 into 1 2.638 * [backup-simplify]: Simplify (* 1 1) into 1 2.639 * [backup-simplify]: Simplify (/ 1 1) into 1 2.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.642 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.642 * [backup-simplify]: Simplify (+ 0 0) into 0 2.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.643 * [backup-simplify]: Simplify (+ 0 0) into 0 2.643 * [taylor]: Taking taylor expansion of 0 in im 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.645 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 2.645 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 2.645 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.645 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.645 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.645 * [taylor]: Taking taylor expansion of im in im 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 1 into 1 2.645 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.645 * [taylor]: Taking taylor expansion of re in im 2.645 * [backup-simplify]: Simplify re into re 2.645 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.645 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.645 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.645 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.646 * [backup-simplify]: Simplify (+ 0 0) into 0 2.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.646 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.646 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.646 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.646 * [taylor]: Taking taylor expansion of im in re 2.646 * [backup-simplify]: Simplify im into im 2.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.646 * [taylor]: Taking taylor expansion of re in re 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 1 into 1 2.646 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.646 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.646 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.646 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.646 * [backup-simplify]: Simplify (+ 0 0) into 0 2.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.647 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.647 * [taylor]: Taking taylor expansion of im in re 2.647 * [backup-simplify]: Simplify im into im 2.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.647 * [taylor]: Taking taylor expansion of re in re 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.647 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.647 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.647 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.647 * [backup-simplify]: Simplify (+ 0 0) into 0 2.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.647 * [taylor]: Taking taylor expansion of im in im 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [taylor]: Taking taylor expansion of 0 in im 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.648 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.648 * [backup-simplify]: Simplify (* 1 1) into 1 2.648 * [backup-simplify]: Simplify (+ 0 1) into 1 2.649 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.649 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.649 * [taylor]: Taking taylor expansion of 1/2 in im 2.649 * [backup-simplify]: Simplify 1/2 into 1/2 2.649 * [taylor]: Taking taylor expansion of im in im 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.651 * [backup-simplify]: Simplify (+ 0 0) into 0 2.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.651 * [taylor]: Taking taylor expansion of 0 in im 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.652 * [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 re 2)) (/ 1 (pow im 2)))) 2.652 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.652 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.652 * [taylor]: Taking taylor expansion of re in im 2.652 * [backup-simplify]: Simplify re into re 2.652 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.652 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.652 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.652 * [taylor]: Taking taylor expansion of im in im 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.653 * [backup-simplify]: Simplify (* 1 1) into 1 2.653 * [backup-simplify]: Simplify (/ 1 1) into 1 2.653 * [backup-simplify]: Simplify (+ 0 1) into 1 2.653 * [backup-simplify]: Simplify (sqrt 1) into 1 2.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.654 * [backup-simplify]: Simplify (+ 0 0) into 0 2.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.655 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.655 * [taylor]: Taking taylor expansion of re in re 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 1 into 1 2.655 * [backup-simplify]: Simplify (* 1 1) into 1 2.655 * [backup-simplify]: Simplify (/ 1 1) into 1 2.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.655 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.655 * [taylor]: Taking taylor expansion of im in re 2.655 * [backup-simplify]: Simplify im into im 2.655 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.656 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.656 * [backup-simplify]: Simplify (+ 1 0) into 1 2.656 * [backup-simplify]: Simplify (sqrt 1) into 1 2.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.657 * [backup-simplify]: Simplify (+ 0 0) into 0 2.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.658 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.658 * [taylor]: Taking taylor expansion of re in re 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (* 1 1) into 1 2.658 * [backup-simplify]: Simplify (/ 1 1) into 1 2.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.658 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.658 * [taylor]: Taking taylor expansion of im in re 2.658 * [backup-simplify]: Simplify im into im 2.658 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.658 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.659 * [backup-simplify]: Simplify (+ 1 0) into 1 2.659 * [backup-simplify]: Simplify (sqrt 1) into 1 2.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.660 * [backup-simplify]: Simplify (+ 0 0) into 0 2.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.660 * [taylor]: Taking taylor expansion of 1 in im 2.660 * [backup-simplify]: Simplify 1 into 1 2.661 * [taylor]: Taking taylor expansion of 0 in im 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 1 into 1 2.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.662 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.663 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.663 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.663 * [taylor]: Taking taylor expansion of 1/2 in im 2.663 * [backup-simplify]: Simplify 1/2 into 1/2 2.663 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.663 * [taylor]: Taking taylor expansion of im in im 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (* 1 1) into 1 2.663 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.665 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.666 * [backup-simplify]: Simplify (+ 0 0) into 0 2.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.666 * [taylor]: Taking taylor expansion of 0 in im 2.666 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.668 * [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 re 2)) (/ 1 (pow im 2)))) 2.668 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.668 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.668 * [taylor]: Taking taylor expansion of re in im 2.668 * [backup-simplify]: Simplify re into re 2.668 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.668 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.668 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.668 * [taylor]: Taking taylor expansion of im in im 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.668 * [backup-simplify]: Simplify (* 1 1) into 1 2.669 * [backup-simplify]: Simplify (/ 1 1) into 1 2.669 * [backup-simplify]: Simplify (+ 0 1) into 1 2.670 * [backup-simplify]: Simplify (sqrt 1) into 1 2.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (+ 0 0) into 0 2.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.672 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.672 * [taylor]: Taking taylor expansion of re in re 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 1 into 1 2.673 * [backup-simplify]: Simplify (* 1 1) into 1 2.673 * [backup-simplify]: Simplify (/ 1 1) into 1 2.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.673 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.673 * [taylor]: Taking taylor expansion of im in re 2.673 * [backup-simplify]: Simplify im into im 2.673 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.674 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.674 * [backup-simplify]: Simplify (+ 1 0) into 1 2.675 * [backup-simplify]: Simplify (sqrt 1) into 1 2.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (+ 0 0) into 0 2.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.678 * [taylor]: Taking taylor expansion of re in re 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 1 into 1 2.678 * [backup-simplify]: Simplify (* 1 1) into 1 2.678 * [backup-simplify]: Simplify (/ 1 1) into 1 2.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.678 * [taylor]: Taking taylor expansion of im in re 2.679 * [backup-simplify]: Simplify im into im 2.679 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.679 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.679 * [backup-simplify]: Simplify (+ 1 0) into 1 2.679 * [backup-simplify]: Simplify (sqrt 1) into 1 2.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (+ 0 0) into 0 2.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.682 * [taylor]: Taking taylor expansion of 1 in im 2.682 * [backup-simplify]: Simplify 1 into 1 2.682 * [taylor]: Taking taylor expansion of 0 in im 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 1 into 1 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.686 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.686 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.686 * [taylor]: Taking taylor expansion of 1/2 in im 2.686 * [backup-simplify]: Simplify 1/2 into 1/2 2.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.686 * [taylor]: Taking taylor expansion of im in im 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [backup-simplify]: Simplify (* 1 1) into 1 2.687 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.693 * [taylor]: Taking taylor expansion of 0 in im 2.693 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.695 * * * [progress]: simplifying candidates 2.695 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 2.695 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 2.696 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 2.697 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 2.697 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 2.697 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 2.697 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 2.697 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 2.697 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 2.697 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 2.697 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 2.697 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 2.697 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 2.697 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 2.697 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 32 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 2.698 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 2.698 * * * * [progress]: [ 39 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 46 / 142 ] simplifiying candidate #real (real->posit16 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 2.699 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 2.699 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 2.700 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 2.701 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 2.702 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 2.703 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 110 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 2.704 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 2.705 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> 2.706 * * * * [progress]: [ 130 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 2.706 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 2.709 * [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 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(sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 2 1/2 1 1/2 (* (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ (* im im) (* re re))))) (* (fabs (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (fabs (cbrt (+ (* im im) (* re re)))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (cbrt (sqrt (+ (* im im) (* re re)))))) (* (sqrt (sqrt (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (+ (* im im) (* re re))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (+ (* im im) (* re re))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (+ (* im im) (* re re))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im)))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im)))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re))))) (real->posit16 (sqrt (+ (* im im) (* re re)))) im re (- re) im re (- re) (- im re) 0 (* -2 re) im re (- re) 5.836 * * * [progress]: adding candidates to table 7.626 * * [progress]: iteration 3 / 4 7.626 * * * [progress]: picking best candidate 7.664 * * * * [pick]: Picked # 7.664 * * * [progress]: localizing error 7.725 * * * [progress]: generating rewritten candidates 7.725 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 7.737 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 2 1 1) 7.749 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1) 7.761 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 7.774 * * * [progress]: generating series expansions 7.774 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1) 7.775 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 7.775 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 7.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.775 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.775 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.775 * [taylor]: Taking taylor expansion of im in im 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 1 into 1 7.775 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.775 * [taylor]: Taking taylor expansion of re in im 7.775 * [backup-simplify]: Simplify re into re 7.775 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.775 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.775 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.775 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.776 * [backup-simplify]: Simplify (+ 0 0) into 0 7.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.776 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.776 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.776 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.776 * [taylor]: Taking taylor expansion of im in re 7.776 * [backup-simplify]: Simplify im into im 7.776 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.776 * [taylor]: Taking taylor expansion of re in re 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 1 into 1 7.777 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.777 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.777 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.777 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.777 * [backup-simplify]: Simplify (+ 0 0) into 0 7.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.777 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.777 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.777 * [taylor]: Taking taylor expansion of im in re 7.777 * [backup-simplify]: Simplify im into im 7.777 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.777 * [taylor]: Taking taylor expansion of re in re 7.777 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.778 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.778 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.778 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.778 * [backup-simplify]: Simplify (+ 0 0) into 0 7.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.778 * [taylor]: Taking taylor expansion of im in im 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [backup-simplify]: Simplify 0 into 0 7.779 * [taylor]: Taking taylor expansion of 0 in im 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify 1 into 1 7.779 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.779 * [backup-simplify]: Simplify (* 1 1) into 1 7.780 * [backup-simplify]: Simplify (+ 0 1) into 1 7.781 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.781 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.781 * [taylor]: Taking taylor expansion of 1/2 in im 7.781 * [backup-simplify]: Simplify 1/2 into 1/2 7.781 * [taylor]: Taking taylor expansion of im in im 7.781 * [backup-simplify]: Simplify 0 into 0 7.781 * [backup-simplify]: Simplify 1 into 1 7.782 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.782 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.784 * [backup-simplify]: Simplify (+ 0 0) into 0 7.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.785 * [taylor]: Taking taylor expansion of 0 in im 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.786 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.786 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.786 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.786 * [taylor]: Taking taylor expansion of re in im 7.786 * [backup-simplify]: Simplify re into re 7.786 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.787 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.787 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.787 * [taylor]: Taking taylor expansion of im in im 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify 1 into 1 7.787 * [backup-simplify]: Simplify (* 1 1) into 1 7.787 * [backup-simplify]: Simplify (/ 1 1) into 1 7.788 * [backup-simplify]: Simplify (+ 0 1) into 1 7.788 * [backup-simplify]: Simplify (sqrt 1) into 1 7.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.790 * [backup-simplify]: Simplify (+ 0 0) into 0 7.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.791 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.791 * [taylor]: Taking taylor expansion of re in re 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 1 into 1 7.791 * [backup-simplify]: Simplify (* 1 1) into 1 7.792 * [backup-simplify]: Simplify (/ 1 1) into 1 7.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.792 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.792 * [taylor]: Taking taylor expansion of im in re 7.792 * [backup-simplify]: Simplify im into im 7.792 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.792 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.792 * [backup-simplify]: Simplify (+ 1 0) into 1 7.793 * [backup-simplify]: Simplify (sqrt 1) into 1 7.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.795 * [backup-simplify]: Simplify (+ 0 0) into 0 7.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.795 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.795 * [taylor]: Taking taylor expansion of re in re 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify (* 1 1) into 1 7.796 * [backup-simplify]: Simplify (/ 1 1) into 1 7.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.796 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.796 * [taylor]: Taking taylor expansion of im in re 7.796 * [backup-simplify]: Simplify im into im 7.796 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.796 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.797 * [backup-simplify]: Simplify (+ 1 0) into 1 7.797 * [backup-simplify]: Simplify (sqrt 1) into 1 7.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.799 * [backup-simplify]: Simplify (+ 0 0) into 0 7.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.800 * [taylor]: Taking taylor expansion of 1 in im 7.800 * [backup-simplify]: Simplify 1 into 1 7.800 * [taylor]: Taking taylor expansion of 0 in im 7.800 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify 1 into 1 7.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.807 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.808 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.809 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.809 * [taylor]: Taking taylor expansion of 1/2 in im 7.809 * [backup-simplify]: Simplify 1/2 into 1/2 7.809 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.809 * [taylor]: Taking taylor expansion of im in im 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [backup-simplify]: Simplify (* 1 1) into 1 7.809 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify 0 into 0 7.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.813 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.814 * [backup-simplify]: Simplify (+ 0 0) into 0 7.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.814 * [taylor]: Taking taylor expansion of 0 in im 7.814 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.817 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.817 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.817 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.817 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.817 * [taylor]: Taking taylor expansion of re in im 7.817 * [backup-simplify]: Simplify re into re 7.817 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.817 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.817 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.817 * [taylor]: Taking taylor expansion of im in im 7.817 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify 1 into 1 7.818 * [backup-simplify]: Simplify (* 1 1) into 1 7.818 * [backup-simplify]: Simplify (/ 1 1) into 1 7.818 * [backup-simplify]: Simplify (+ 0 1) into 1 7.819 * [backup-simplify]: Simplify (sqrt 1) into 1 7.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.820 * [backup-simplify]: Simplify (+ 0 0) into 0 7.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.821 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.821 * [taylor]: Taking taylor expansion of re in re 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 1 into 1 7.822 * [backup-simplify]: Simplify (* 1 1) into 1 7.822 * [backup-simplify]: Simplify (/ 1 1) into 1 7.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.822 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.822 * [taylor]: Taking taylor expansion of im in re 7.822 * [backup-simplify]: Simplify im into im 7.822 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.822 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.823 * [backup-simplify]: Simplify (+ 1 0) into 1 7.824 * [backup-simplify]: Simplify (sqrt 1) into 1 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.825 * [backup-simplify]: Simplify (+ 0 0) into 0 7.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.826 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.826 * [taylor]: Taking taylor expansion of re in re 7.826 * [backup-simplify]: Simplify 0 into 0 7.826 * [backup-simplify]: Simplify 1 into 1 7.827 * [backup-simplify]: Simplify (* 1 1) into 1 7.827 * [backup-simplify]: Simplify (/ 1 1) into 1 7.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.827 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.827 * [taylor]: Taking taylor expansion of im in re 7.827 * [backup-simplify]: Simplify im into im 7.827 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.827 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.828 * [backup-simplify]: Simplify (+ 1 0) into 1 7.828 * [backup-simplify]: Simplify (sqrt 1) into 1 7.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.830 * [backup-simplify]: Simplify (+ 0 0) into 0 7.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.831 * [taylor]: Taking taylor expansion of 1 in im 7.831 * [backup-simplify]: Simplify 1 into 1 7.831 * [taylor]: Taking taylor expansion of 0 in im 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 1 into 1 7.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.833 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.834 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.834 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.834 * [taylor]: Taking taylor expansion of 1/2 in im 7.834 * [backup-simplify]: Simplify 1/2 into 1/2 7.834 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.834 * [taylor]: Taking taylor expansion of im in im 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify 1 into 1 7.834 * [backup-simplify]: Simplify (* 1 1) into 1 7.835 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.838 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.838 * [backup-simplify]: Simplify (+ 0 0) into 0 7.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.838 * [taylor]: Taking taylor expansion of 0 in im 7.838 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.840 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 2 1 1) 7.840 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 7.840 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 7.840 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.840 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.840 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.840 * [taylor]: Taking taylor expansion of im in im 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.840 * [taylor]: Taking taylor expansion of re in im 7.840 * [backup-simplify]: Simplify re into re 7.840 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.840 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.840 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.840 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.840 * [backup-simplify]: Simplify (+ 0 0) into 0 7.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.841 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.841 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.841 * [taylor]: Taking taylor expansion of im in re 7.841 * [backup-simplify]: Simplify im into im 7.841 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.841 * [taylor]: Taking taylor expansion of re in re 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.841 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.841 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.841 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.841 * [backup-simplify]: Simplify (+ 0 0) into 0 7.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.841 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.841 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.841 * [taylor]: Taking taylor expansion of im in re 7.841 * [backup-simplify]: Simplify im into im 7.841 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.841 * [taylor]: Taking taylor expansion of re in re 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.841 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.841 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.842 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.842 * [backup-simplify]: Simplify (+ 0 0) into 0 7.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.842 * [taylor]: Taking taylor expansion of im in im 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 1 into 1 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [taylor]: Taking taylor expansion of 0 in im 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 1 into 1 7.842 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.843 * [backup-simplify]: Simplify (* 1 1) into 1 7.843 * [backup-simplify]: Simplify (+ 0 1) into 1 7.843 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.843 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.843 * [taylor]: Taking taylor expansion of 1/2 in im 7.843 * [backup-simplify]: Simplify 1/2 into 1/2 7.843 * [taylor]: Taking taylor expansion of im in im 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 1 into 1 7.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.844 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.845 * [backup-simplify]: Simplify (+ 0 0) into 0 7.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.846 * [taylor]: Taking taylor expansion of 0 in im 7.846 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.846 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.846 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.846 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.847 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.847 * [taylor]: Taking taylor expansion of re in im 7.847 * [backup-simplify]: Simplify re into re 7.847 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.847 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.847 * [taylor]: Taking taylor expansion of im in im 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify 1 into 1 7.847 * [backup-simplify]: Simplify (* 1 1) into 1 7.847 * [backup-simplify]: Simplify (/ 1 1) into 1 7.847 * [backup-simplify]: Simplify (+ 0 1) into 1 7.848 * [backup-simplify]: Simplify (sqrt 1) into 1 7.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.849 * [backup-simplify]: Simplify (+ 0 0) into 0 7.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.849 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.849 * [taylor]: Taking taylor expansion of re in re 7.849 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify 1 into 1 7.850 * [backup-simplify]: Simplify (* 1 1) into 1 7.850 * [backup-simplify]: Simplify (/ 1 1) into 1 7.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.850 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.850 * [taylor]: Taking taylor expansion of im in re 7.850 * [backup-simplify]: Simplify im into im 7.850 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.850 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.850 * [backup-simplify]: Simplify (+ 1 0) into 1 7.850 * [backup-simplify]: Simplify (sqrt 1) into 1 7.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.852 * [backup-simplify]: Simplify (+ 0 0) into 0 7.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.852 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.852 * [taylor]: Taking taylor expansion of re in re 7.852 * [backup-simplify]: Simplify 0 into 0 7.852 * [backup-simplify]: Simplify 1 into 1 7.852 * [backup-simplify]: Simplify (* 1 1) into 1 7.853 * [backup-simplify]: Simplify (/ 1 1) into 1 7.853 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.853 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.853 * [taylor]: Taking taylor expansion of im in re 7.853 * [backup-simplify]: Simplify im into im 7.853 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.853 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.853 * [backup-simplify]: Simplify (+ 1 0) into 1 7.853 * [backup-simplify]: Simplify (sqrt 1) into 1 7.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.854 * [backup-simplify]: Simplify (+ 0 0) into 0 7.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.855 * [taylor]: Taking taylor expansion of 1 in im 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [taylor]: Taking taylor expansion of 0 in im 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.856 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.857 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.857 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.857 * [taylor]: Taking taylor expansion of 1/2 in im 7.857 * [backup-simplify]: Simplify 1/2 into 1/2 7.857 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.857 * [taylor]: Taking taylor expansion of im in im 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify 1 into 1 7.857 * [backup-simplify]: Simplify (* 1 1) into 1 7.858 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.860 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.860 * [backup-simplify]: Simplify (+ 0 0) into 0 7.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.861 * [taylor]: Taking taylor expansion of 0 in im 7.861 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.862 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.862 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.862 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.862 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.862 * [taylor]: Taking taylor expansion of re in im 7.862 * [backup-simplify]: Simplify re into re 7.862 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.862 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.862 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.862 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.862 * [taylor]: Taking taylor expansion of im in im 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 1 into 1 7.863 * [backup-simplify]: Simplify (* 1 1) into 1 7.863 * [backup-simplify]: Simplify (/ 1 1) into 1 7.863 * [backup-simplify]: Simplify (+ 0 1) into 1 7.863 * [backup-simplify]: Simplify (sqrt 1) into 1 7.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.865 * [backup-simplify]: Simplify (+ 0 0) into 0 7.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.865 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.865 * [taylor]: Taking taylor expansion of re in re 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 1 into 1 7.865 * [backup-simplify]: Simplify (* 1 1) into 1 7.866 * [backup-simplify]: Simplify (/ 1 1) into 1 7.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.866 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.866 * [taylor]: Taking taylor expansion of im in re 7.866 * [backup-simplify]: Simplify im into im 7.866 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.866 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.866 * [backup-simplify]: Simplify (+ 1 0) into 1 7.866 * [backup-simplify]: Simplify (sqrt 1) into 1 7.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.867 * [backup-simplify]: Simplify (+ 0 0) into 0 7.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.868 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.868 * [taylor]: Taking taylor expansion of re in re 7.868 * [backup-simplify]: Simplify 0 into 0 7.868 * [backup-simplify]: Simplify 1 into 1 7.868 * [backup-simplify]: Simplify (* 1 1) into 1 7.869 * [backup-simplify]: Simplify (/ 1 1) into 1 7.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.869 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.869 * [taylor]: Taking taylor expansion of im in re 7.869 * [backup-simplify]: Simplify im into im 7.869 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.869 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.869 * [backup-simplify]: Simplify (+ 1 0) into 1 7.870 * [backup-simplify]: Simplify (sqrt 1) into 1 7.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.871 * [backup-simplify]: Simplify (+ 0 0) into 0 7.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.872 * [taylor]: Taking taylor expansion of 1 in im 7.872 * [backup-simplify]: Simplify 1 into 1 7.872 * [taylor]: Taking taylor expansion of 0 in im 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 1 into 1 7.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.874 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.875 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.875 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.875 * [taylor]: Taking taylor expansion of 1/2 in im 7.875 * [backup-simplify]: Simplify 1/2 into 1/2 7.875 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.875 * [taylor]: Taking taylor expansion of im in im 7.875 * [backup-simplify]: Simplify 0 into 0 7.875 * [backup-simplify]: Simplify 1 into 1 7.875 * [backup-simplify]: Simplify (* 1 1) into 1 7.876 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.879 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.880 * [backup-simplify]: Simplify (+ 0 0) into 0 7.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.880 * [taylor]: Taking taylor expansion of 0 in im 7.880 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.882 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1) 7.882 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 7.882 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 7.882 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.882 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.882 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.882 * [taylor]: Taking taylor expansion of im in im 7.883 * [backup-simplify]: Simplify 0 into 0 7.883 * [backup-simplify]: Simplify 1 into 1 7.883 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.883 * [taylor]: Taking taylor expansion of re in im 7.883 * [backup-simplify]: Simplify re into re 7.883 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.883 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.883 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.883 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.884 * [backup-simplify]: Simplify (+ 0 0) into 0 7.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.884 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.884 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.884 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.884 * [taylor]: Taking taylor expansion of im in re 7.884 * [backup-simplify]: Simplify im into im 7.884 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.884 * [taylor]: Taking taylor expansion of re in re 7.884 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify 1 into 1 7.884 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.884 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.884 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.884 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.885 * [backup-simplify]: Simplify (+ 0 0) into 0 7.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.885 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.885 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.885 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.885 * [taylor]: Taking taylor expansion of im in re 7.885 * [backup-simplify]: Simplify im into im 7.885 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.885 * [taylor]: Taking taylor expansion of re in re 7.885 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify 1 into 1 7.886 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.886 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.886 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.886 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.886 * [backup-simplify]: Simplify (+ 0 0) into 0 7.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.887 * [taylor]: Taking taylor expansion of im in im 7.887 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify 1 into 1 7.887 * [backup-simplify]: Simplify 0 into 0 7.887 * [taylor]: Taking taylor expansion of 0 in im 7.887 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify 1 into 1 7.887 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.888 * [backup-simplify]: Simplify (* 1 1) into 1 7.888 * [backup-simplify]: Simplify (+ 0 1) into 1 7.889 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.889 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.889 * [taylor]: Taking taylor expansion of 1/2 in im 7.889 * [backup-simplify]: Simplify 1/2 into 1/2 7.889 * [taylor]: Taking taylor expansion of im in im 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.889 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.892 * [backup-simplify]: Simplify (+ 0 0) into 0 7.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.893 * [taylor]: Taking taylor expansion of 0 in im 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.894 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.894 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.894 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.894 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.894 * [taylor]: Taking taylor expansion of re in im 7.894 * [backup-simplify]: Simplify re into re 7.894 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.895 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.895 * [taylor]: Taking taylor expansion of im in im 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify 1 into 1 7.895 * [backup-simplify]: Simplify (* 1 1) into 1 7.895 * [backup-simplify]: Simplify (/ 1 1) into 1 7.896 * [backup-simplify]: Simplify (+ 0 1) into 1 7.896 * [backup-simplify]: Simplify (sqrt 1) into 1 7.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.898 * [backup-simplify]: Simplify (+ 0 0) into 0 7.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.899 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.899 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.899 * [taylor]: Taking taylor expansion of re in re 7.899 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (* 1 1) into 1 7.900 * [backup-simplify]: Simplify (/ 1 1) into 1 7.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.900 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.900 * [taylor]: Taking taylor expansion of im in re 7.900 * [backup-simplify]: Simplify im into im 7.900 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.900 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.900 * [backup-simplify]: Simplify (+ 1 0) into 1 7.901 * [backup-simplify]: Simplify (sqrt 1) into 1 7.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.903 * [backup-simplify]: Simplify (+ 0 0) into 0 7.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.903 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.903 * [taylor]: Taking taylor expansion of re in re 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.904 * [backup-simplify]: Simplify (* 1 1) into 1 7.904 * [backup-simplify]: Simplify (/ 1 1) into 1 7.904 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.904 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.904 * [taylor]: Taking taylor expansion of im in re 7.904 * [backup-simplify]: Simplify im into im 7.904 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.905 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.905 * [backup-simplify]: Simplify (+ 1 0) into 1 7.905 * [backup-simplify]: Simplify (sqrt 1) into 1 7.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.907 * [backup-simplify]: Simplify (+ 0 0) into 0 7.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.908 * [taylor]: Taking taylor expansion of 1 in im 7.908 * [backup-simplify]: Simplify 1 into 1 7.908 * [taylor]: Taking taylor expansion of 0 in im 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 1 into 1 7.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.911 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.911 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.911 * [taylor]: Taking taylor expansion of 1/2 in im 7.911 * [backup-simplify]: Simplify 1/2 into 1/2 7.911 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.911 * [taylor]: Taking taylor expansion of im in im 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [backup-simplify]: Simplify (* 1 1) into 1 7.912 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.917 * [backup-simplify]: Simplify (+ 0 0) into 0 7.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.917 * [taylor]: Taking taylor expansion of 0 in im 7.917 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.920 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.920 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.920 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.920 * [taylor]: Taking taylor expansion of re in im 7.920 * [backup-simplify]: Simplify re into re 7.920 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.920 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.920 * [taylor]: Taking taylor expansion of im in im 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 1 into 1 7.921 * [backup-simplify]: Simplify (* 1 1) into 1 7.921 * [backup-simplify]: Simplify (/ 1 1) into 1 7.922 * [backup-simplify]: Simplify (+ 0 1) into 1 7.922 * [backup-simplify]: Simplify (sqrt 1) into 1 7.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (+ 0 0) into 0 7.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.924 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.924 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.924 * [taylor]: Taking taylor expansion of re in re 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify 1 into 1 7.925 * [backup-simplify]: Simplify (* 1 1) into 1 7.925 * [backup-simplify]: Simplify (/ 1 1) into 1 7.925 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.925 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.925 * [taylor]: Taking taylor expansion of im in re 7.925 * [backup-simplify]: Simplify im into im 7.925 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.926 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.926 * [backup-simplify]: Simplify (+ 1 0) into 1 7.926 * [backup-simplify]: Simplify (sqrt 1) into 1 7.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.933 * [backup-simplify]: Simplify (+ 0 0) into 0 7.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.934 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.934 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.934 * [taylor]: Taking taylor expansion of re in re 7.934 * [backup-simplify]: Simplify 0 into 0 7.934 * [backup-simplify]: Simplify 1 into 1 7.934 * [backup-simplify]: Simplify (* 1 1) into 1 7.935 * [backup-simplify]: Simplify (/ 1 1) into 1 7.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.935 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.935 * [taylor]: Taking taylor expansion of im in re 7.935 * [backup-simplify]: Simplify im into im 7.935 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.935 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.936 * [backup-simplify]: Simplify (+ 1 0) into 1 7.936 * [backup-simplify]: Simplify (sqrt 1) into 1 7.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.938 * [backup-simplify]: Simplify (+ 0 0) into 0 7.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.938 * [taylor]: Taking taylor expansion of 1 in im 7.939 * [backup-simplify]: Simplify 1 into 1 7.939 * [taylor]: Taking taylor expansion of 0 in im 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify 1 into 1 7.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.941 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.942 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.942 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.942 * [taylor]: Taking taylor expansion of 1/2 in im 7.942 * [backup-simplify]: Simplify 1/2 into 1/2 7.942 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.942 * [taylor]: Taking taylor expansion of im in im 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.943 * [backup-simplify]: Simplify (* 1 1) into 1 7.943 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.947 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.948 * [backup-simplify]: Simplify (+ 0 0) into 0 7.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.949 * [taylor]: Taking taylor expansion of 0 in im 7.949 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.951 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 7.951 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 7.951 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 7.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.951 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.951 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.951 * [taylor]: Taking taylor expansion of im in im 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify 1 into 1 7.951 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.951 * [taylor]: Taking taylor expansion of re in im 7.951 * [backup-simplify]: Simplify re into re 7.951 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.952 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.952 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.952 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.952 * [backup-simplify]: Simplify (+ 0 0) into 0 7.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.952 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.952 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.952 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.952 * [taylor]: Taking taylor expansion of im in re 7.952 * [backup-simplify]: Simplify im into im 7.952 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.952 * [taylor]: Taking taylor expansion of re in re 7.952 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify 1 into 1 7.953 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.953 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.953 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.953 * [backup-simplify]: Simplify (+ 0 0) into 0 7.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.953 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.953 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.953 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.953 * [taylor]: Taking taylor expansion of im in re 7.953 * [backup-simplify]: Simplify im into im 7.953 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.953 * [taylor]: Taking taylor expansion of re in re 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 1 into 1 7.953 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.953 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.953 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.954 * [backup-simplify]: Simplify (+ 0 0) into 0 7.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.954 * [taylor]: Taking taylor expansion of im in im 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 1 into 1 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [taylor]: Taking taylor expansion of 0 in im 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 1 into 1 7.954 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.954 * [backup-simplify]: Simplify (* 1 1) into 1 7.955 * [backup-simplify]: Simplify (+ 0 1) into 1 7.955 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.955 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.955 * [taylor]: Taking taylor expansion of 1/2 in im 7.955 * [backup-simplify]: Simplify 1/2 into 1/2 7.955 * [taylor]: Taking taylor expansion of im in im 7.955 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify 1 into 1 7.955 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.956 * [backup-simplify]: Simplify 0 into 0 7.956 * [backup-simplify]: Simplify 0 into 0 7.956 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.957 * [backup-simplify]: Simplify (+ 0 0) into 0 7.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.957 * [taylor]: Taking taylor expansion of 0 in im 7.957 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.958 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.958 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.958 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.958 * [taylor]: Taking taylor expansion of re in im 7.958 * [backup-simplify]: Simplify re into re 7.958 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.958 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.958 * [taylor]: Taking taylor expansion of im in im 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify 1 into 1 7.959 * [backup-simplify]: Simplify (* 1 1) into 1 7.959 * [backup-simplify]: Simplify (/ 1 1) into 1 7.959 * [backup-simplify]: Simplify (+ 0 1) into 1 7.959 * [backup-simplify]: Simplify (sqrt 1) into 1 7.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.961 * [backup-simplify]: Simplify (+ 0 0) into 0 7.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.961 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.961 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.961 * [taylor]: Taking taylor expansion of re in re 7.961 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify 1 into 1 7.961 * [backup-simplify]: Simplify (* 1 1) into 1 7.962 * [backup-simplify]: Simplify (/ 1 1) into 1 7.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.962 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.962 * [taylor]: Taking taylor expansion of im in re 7.962 * [backup-simplify]: Simplify im into im 7.962 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.962 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.962 * [backup-simplify]: Simplify (+ 1 0) into 1 7.962 * [backup-simplify]: Simplify (sqrt 1) into 1 7.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.963 * [backup-simplify]: Simplify (+ 0 0) into 0 7.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.964 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.964 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.964 * [taylor]: Taking taylor expansion of re in re 7.964 * [backup-simplify]: Simplify 0 into 0 7.964 * [backup-simplify]: Simplify 1 into 1 7.964 * [backup-simplify]: Simplify (* 1 1) into 1 7.964 * [backup-simplify]: Simplify (/ 1 1) into 1 7.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.964 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.964 * [taylor]: Taking taylor expansion of im in re 7.964 * [backup-simplify]: Simplify im into im 7.964 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.964 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.965 * [backup-simplify]: Simplify (+ 1 0) into 1 7.965 * [backup-simplify]: Simplify (sqrt 1) into 1 7.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.966 * [backup-simplify]: Simplify (+ 0 0) into 0 7.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.967 * [taylor]: Taking taylor expansion of 1 in im 7.967 * [backup-simplify]: Simplify 1 into 1 7.967 * [taylor]: Taking taylor expansion of 0 in im 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.968 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.968 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.969 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.969 * [taylor]: Taking taylor expansion of 1/2 in im 7.969 * [backup-simplify]: Simplify 1/2 into 1/2 7.969 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.969 * [taylor]: Taking taylor expansion of im in im 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify 1 into 1 7.969 * [backup-simplify]: Simplify (* 1 1) into 1 7.969 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.971 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.972 * [backup-simplify]: Simplify (+ 0 0) into 0 7.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.972 * [taylor]: Taking taylor expansion of 0 in im 7.972 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.973 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.974 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.974 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.974 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.974 * [taylor]: Taking taylor expansion of re in im 7.974 * [backup-simplify]: Simplify re into re 7.974 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.974 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.974 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.974 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.974 * [taylor]: Taking taylor expansion of im in im 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 1 into 1 7.974 * [backup-simplify]: Simplify (* 1 1) into 1 7.974 * [backup-simplify]: Simplify (/ 1 1) into 1 7.975 * [backup-simplify]: Simplify (+ 0 1) into 1 7.975 * [backup-simplify]: Simplify (sqrt 1) into 1 7.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.976 * [backup-simplify]: Simplify (+ 0 0) into 0 7.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.976 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.976 * [taylor]: Taking taylor expansion of re in re 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 1 into 1 7.977 * [backup-simplify]: Simplify (* 1 1) into 1 7.977 * [backup-simplify]: Simplify (/ 1 1) into 1 7.977 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.977 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.977 * [taylor]: Taking taylor expansion of im in re 7.977 * [backup-simplify]: Simplify im into im 7.977 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.977 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.977 * [backup-simplify]: Simplify (+ 1 0) into 1 7.977 * [backup-simplify]: Simplify (sqrt 1) into 1 7.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.979 * [backup-simplify]: Simplify (+ 0 0) into 0 7.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.979 * [taylor]: Taking taylor expansion of re in re 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (* 1 1) into 1 7.980 * [backup-simplify]: Simplify (/ 1 1) into 1 7.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.980 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.980 * [taylor]: Taking taylor expansion of im in re 7.980 * [backup-simplify]: Simplify im into im 7.980 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.980 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.980 * [backup-simplify]: Simplify (+ 1 0) into 1 7.980 * [backup-simplify]: Simplify (sqrt 1) into 1 7.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.981 * [backup-simplify]: Simplify (+ 0 0) into 0 7.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.982 * [taylor]: Taking taylor expansion of 1 in im 7.982 * [backup-simplify]: Simplify 1 into 1 7.982 * [taylor]: Taking taylor expansion of 0 in im 7.982 * [backup-simplify]: Simplify 0 into 0 7.982 * [backup-simplify]: Simplify 1 into 1 7.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.983 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.984 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.984 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.984 * [taylor]: Taking taylor expansion of 1/2 in im 7.984 * [backup-simplify]: Simplify 1/2 into 1/2 7.984 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.984 * [taylor]: Taking taylor expansion of im in im 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 1 into 1 7.984 * [backup-simplify]: Simplify (* 1 1) into 1 7.984 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.988 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.989 * [backup-simplify]: Simplify (+ 0 0) into 0 7.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.989 * [taylor]: Taking taylor expansion of 0 in im 7.990 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.991 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.992 * * * [progress]: simplifying candidates 7.992 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 7.992 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 7.992 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 7.992 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 7.992 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 7.992 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 7.992 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 7.992 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 7.992 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 7.993 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 7.993 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 7.993 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 7.993 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 7.993 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 7.993 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 7.993 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))> 7.993 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 7.993 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 7.993 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 7.993 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 7.993 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 7.994 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 7.994 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 7.995 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 7.996 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 7.996 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 7.996 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 7.996 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 7.996 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 7.996 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 7.996 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 7.996 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 7.996 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 7.996 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 7.996 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 7.996 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 7.997 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 7.997 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 7.998 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 7.998 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 7.998 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 7.999 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 8.000 * * [simplify]: iteration 1: (39 enodes) 8.017 * * [simplify]: iteration 2: (92 enodes) 8.054 * * [simplify]: iteration 3: (196 enodes) 8.105 * * [simplify]: iteration 4: (437 enodes) 8.266 * * [simplify]: iteration 5: (990 enodes) 8.863 * * [simplify]: Extracting #0: cost 19 inf + 0 8.863 * * [simplify]: Extracting #1: cost 27 inf + 4 8.864 * * [simplify]: Extracting #2: cost 175 inf + 47 8.873 * * [simplify]: Extracting #3: cost 532 inf + 3549 8.894 * * [simplify]: Extracting #4: cost 374 inf + 50072 8.923 * * [simplify]: Extracting #5: cost 100 inf + 116823 8.972 * * [simplify]: Extracting #6: cost 11 inf + 151976 9.035 * * [simplify]: Extracting #7: cost 0 inf + 157931 9.078 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 9.096 * * * [progress]: adding candidates to table 10.434 * * [progress]: iteration 4 / 4 10.435 * * * [progress]: picking best candidate 10.505 * * * * [pick]: Picked # 10.505 * * * [progress]: localizing error 10.605 * * * [progress]: generating rewritten candidates 10.605 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1) 10.612 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 2 1) 10.619 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1 1) 10.630 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 2 2 1 1) 10.641 * * * [progress]: generating series expansions 10.642 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1) 10.642 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.642 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.642 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.642 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.642 * [taylor]: Taking taylor expansion of im in im 10.642 * [backup-simplify]: Simplify 0 into 0 10.642 * [backup-simplify]: Simplify 1 into 1 10.642 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.642 * [taylor]: Taking taylor expansion of re in im 10.642 * [backup-simplify]: Simplify re into re 10.642 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.642 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.642 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.642 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.643 * [backup-simplify]: Simplify (+ 0 0) into 0 10.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.643 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.643 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.643 * [taylor]: Taking taylor expansion of im in re 10.643 * [backup-simplify]: Simplify im into im 10.643 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.643 * [taylor]: Taking taylor expansion of re in re 10.643 * [backup-simplify]: Simplify 0 into 0 10.643 * [backup-simplify]: Simplify 1 into 1 10.643 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.643 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.643 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.643 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.644 * [backup-simplify]: Simplify (+ 0 0) into 0 10.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.644 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.644 * [taylor]: Taking taylor expansion of im in re 10.644 * [backup-simplify]: Simplify im into im 10.644 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.644 * [taylor]: Taking taylor expansion of re in re 10.644 * [backup-simplify]: Simplify 0 into 0 10.644 * [backup-simplify]: Simplify 1 into 1 10.644 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.644 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.644 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.644 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.644 * [backup-simplify]: Simplify (+ 0 0) into 0 10.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.645 * [taylor]: Taking taylor expansion of im in im 10.645 * [backup-simplify]: Simplify 0 into 0 10.645 * [backup-simplify]: Simplify 1 into 1 10.645 * [backup-simplify]: Simplify 0 into 0 10.645 * [taylor]: Taking taylor expansion of 0 in im 10.645 * [backup-simplify]: Simplify 0 into 0 10.645 * [backup-simplify]: Simplify 0 into 0 10.645 * [backup-simplify]: Simplify 1 into 1 10.645 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.645 * [backup-simplify]: Simplify (* 1 1) into 1 10.646 * [backup-simplify]: Simplify (+ 0 1) into 1 10.646 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.646 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.646 * [taylor]: Taking taylor expansion of 1/2 in im 10.646 * [backup-simplify]: Simplify 1/2 into 1/2 10.646 * [taylor]: Taking taylor expansion of im in im 10.646 * [backup-simplify]: Simplify 0 into 0 10.646 * [backup-simplify]: Simplify 1 into 1 10.646 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.647 * [backup-simplify]: Simplify 0 into 0 10.647 * [backup-simplify]: Simplify 0 into 0 10.647 * [backup-simplify]: Simplify 0 into 0 10.648 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.648 * [backup-simplify]: Simplify (+ 0 0) into 0 10.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.648 * [taylor]: Taking taylor expansion of 0 in im 10.648 * [backup-simplify]: Simplify 0 into 0 10.648 * [backup-simplify]: Simplify 0 into 0 10.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.649 * [backup-simplify]: Simplify 0 into 0 10.649 * [backup-simplify]: Simplify 0 into 0 10.649 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.649 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.649 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.649 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.649 * [taylor]: Taking taylor expansion of re in im 10.649 * [backup-simplify]: Simplify re into re 10.649 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.649 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.649 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.649 * [taylor]: Taking taylor expansion of im in im 10.650 * [backup-simplify]: Simplify 0 into 0 10.650 * [backup-simplify]: Simplify 1 into 1 10.650 * [backup-simplify]: Simplify (* 1 1) into 1 10.650 * [backup-simplify]: Simplify (/ 1 1) into 1 10.654 * [backup-simplify]: Simplify (+ 0 1) into 1 10.654 * [backup-simplify]: Simplify (sqrt 1) into 1 10.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.655 * [backup-simplify]: Simplify (+ 0 0) into 0 10.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.656 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.656 * [taylor]: Taking taylor expansion of re in re 10.656 * [backup-simplify]: Simplify 0 into 0 10.656 * [backup-simplify]: Simplify 1 into 1 10.656 * [backup-simplify]: Simplify (* 1 1) into 1 10.656 * [backup-simplify]: Simplify (/ 1 1) into 1 10.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.657 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.657 * [taylor]: Taking taylor expansion of im in re 10.657 * [backup-simplify]: Simplify im into im 10.657 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.657 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.657 * [backup-simplify]: Simplify (+ 1 0) into 1 10.657 * [backup-simplify]: Simplify (sqrt 1) into 1 10.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.658 * [backup-simplify]: Simplify (+ 0 0) into 0 10.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.659 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.659 * [taylor]: Taking taylor expansion of re in re 10.659 * [backup-simplify]: Simplify 0 into 0 10.659 * [backup-simplify]: Simplify 1 into 1 10.659 * [backup-simplify]: Simplify (* 1 1) into 1 10.659 * [backup-simplify]: Simplify (/ 1 1) into 1 10.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.659 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.659 * [taylor]: Taking taylor expansion of im in re 10.659 * [backup-simplify]: Simplify im into im 10.659 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.659 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.660 * [backup-simplify]: Simplify (+ 1 0) into 1 10.660 * [backup-simplify]: Simplify (sqrt 1) into 1 10.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.661 * [backup-simplify]: Simplify (+ 0 0) into 0 10.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.662 * [taylor]: Taking taylor expansion of 1 in im 10.662 * [backup-simplify]: Simplify 1 into 1 10.662 * [taylor]: Taking taylor expansion of 0 in im 10.662 * [backup-simplify]: Simplify 0 into 0 10.662 * [backup-simplify]: Simplify 1 into 1 10.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.663 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.664 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.664 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.664 * [taylor]: Taking taylor expansion of 1/2 in im 10.664 * [backup-simplify]: Simplify 1/2 into 1/2 10.664 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.664 * [taylor]: Taking taylor expansion of im in im 10.664 * [backup-simplify]: Simplify 0 into 0 10.664 * [backup-simplify]: Simplify 1 into 1 10.664 * [backup-simplify]: Simplify (* 1 1) into 1 10.665 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.665 * [backup-simplify]: Simplify 0 into 0 10.665 * [backup-simplify]: Simplify 0 into 0 10.666 * [backup-simplify]: Simplify 0 into 0 10.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.667 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.667 * [backup-simplify]: Simplify (+ 0 0) into 0 10.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.668 * [taylor]: Taking taylor expansion of 0 in im 10.668 * [backup-simplify]: Simplify 0 into 0 10.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.669 * [backup-simplify]: Simplify 0 into 0 10.669 * [backup-simplify]: Simplify 0 into 0 10.669 * [backup-simplify]: Simplify 0 into 0 10.669 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.669 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.669 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.670 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.670 * [taylor]: Taking taylor expansion of re in im 10.670 * [backup-simplify]: Simplify re into re 10.670 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.670 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.670 * [taylor]: Taking taylor expansion of im in im 10.670 * [backup-simplify]: Simplify 0 into 0 10.670 * [backup-simplify]: Simplify 1 into 1 10.670 * [backup-simplify]: Simplify (* 1 1) into 1 10.671 * [backup-simplify]: Simplify (/ 1 1) into 1 10.671 * [backup-simplify]: Simplify (+ 0 1) into 1 10.671 * [backup-simplify]: Simplify (sqrt 1) into 1 10.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.673 * [backup-simplify]: Simplify (+ 0 0) into 0 10.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.674 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.674 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.674 * [taylor]: Taking taylor expansion of re in re 10.674 * [backup-simplify]: Simplify 0 into 0 10.674 * [backup-simplify]: Simplify 1 into 1 10.674 * [backup-simplify]: Simplify (* 1 1) into 1 10.675 * [backup-simplify]: Simplify (/ 1 1) into 1 10.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.675 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.675 * [taylor]: Taking taylor expansion of im in re 10.675 * [backup-simplify]: Simplify im into im 10.675 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.675 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.675 * [backup-simplify]: Simplify (+ 1 0) into 1 10.676 * [backup-simplify]: Simplify (sqrt 1) into 1 10.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.677 * [backup-simplify]: Simplify (+ 0 0) into 0 10.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.678 * [taylor]: Taking taylor expansion of re in re 10.678 * [backup-simplify]: Simplify 0 into 0 10.678 * [backup-simplify]: Simplify 1 into 1 10.679 * [backup-simplify]: Simplify (* 1 1) into 1 10.679 * [backup-simplify]: Simplify (/ 1 1) into 1 10.679 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.679 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.679 * [taylor]: Taking taylor expansion of im in re 10.679 * [backup-simplify]: Simplify im into im 10.679 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.679 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.680 * [backup-simplify]: Simplify (+ 1 0) into 1 10.680 * [backup-simplify]: Simplify (sqrt 1) into 1 10.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.682 * [backup-simplify]: Simplify (+ 0 0) into 0 10.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.683 * [taylor]: Taking taylor expansion of 1 in im 10.683 * [backup-simplify]: Simplify 1 into 1 10.683 * [taylor]: Taking taylor expansion of 0 in im 10.683 * [backup-simplify]: Simplify 0 into 0 10.683 * [backup-simplify]: Simplify 1 into 1 10.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.685 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.686 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.686 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.686 * [taylor]: Taking taylor expansion of 1/2 in im 10.686 * [backup-simplify]: Simplify 1/2 into 1/2 10.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.686 * [taylor]: Taking taylor expansion of im in im 10.686 * [backup-simplify]: Simplify 0 into 0 10.686 * [backup-simplify]: Simplify 1 into 1 10.687 * [backup-simplify]: Simplify (* 1 1) into 1 10.687 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.689 * [backup-simplify]: Simplify 0 into 0 10.689 * [backup-simplify]: Simplify 0 into 0 10.689 * [backup-simplify]: Simplify 0 into 0 10.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.691 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.691 * [backup-simplify]: Simplify (+ 0 0) into 0 10.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.692 * [taylor]: Taking taylor expansion of 0 in im 10.692 * [backup-simplify]: Simplify 0 into 0 10.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.694 * [backup-simplify]: Simplify 0 into 0 10.694 * [backup-simplify]: Simplify 0 into 0 10.694 * [backup-simplify]: Simplify 0 into 0 10.694 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.694 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 2 1) 10.695 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.695 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.695 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.695 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.695 * [taylor]: Taking taylor expansion of im in im 10.695 * [backup-simplify]: Simplify 0 into 0 10.695 * [backup-simplify]: Simplify 1 into 1 10.695 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.695 * [taylor]: Taking taylor expansion of re in im 10.695 * [backup-simplify]: Simplify re into re 10.695 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.695 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.695 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.695 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.696 * [backup-simplify]: Simplify (+ 0 0) into 0 10.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.696 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.696 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.696 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.696 * [taylor]: Taking taylor expansion of im in re 10.696 * [backup-simplify]: Simplify im into im 10.696 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.696 * [taylor]: Taking taylor expansion of re in re 10.696 * [backup-simplify]: Simplify 0 into 0 10.696 * [backup-simplify]: Simplify 1 into 1 10.696 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.696 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.696 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.696 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.697 * [backup-simplify]: Simplify (+ 0 0) into 0 10.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.697 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.697 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.697 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.697 * [taylor]: Taking taylor expansion of im in re 10.697 * [backup-simplify]: Simplify im into im 10.697 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.697 * [taylor]: Taking taylor expansion of re in re 10.697 * [backup-simplify]: Simplify 0 into 0 10.697 * [backup-simplify]: Simplify 1 into 1 10.697 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.697 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.697 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.697 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.698 * [backup-simplify]: Simplify (+ 0 0) into 0 10.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.698 * [taylor]: Taking taylor expansion of im in im 10.698 * [backup-simplify]: Simplify 0 into 0 10.698 * [backup-simplify]: Simplify 1 into 1 10.698 * [backup-simplify]: Simplify 0 into 0 10.698 * [taylor]: Taking taylor expansion of 0 in im 10.698 * [backup-simplify]: Simplify 0 into 0 10.698 * [backup-simplify]: Simplify 0 into 0 10.698 * [backup-simplify]: Simplify 1 into 1 10.698 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.699 * [backup-simplify]: Simplify (* 1 1) into 1 10.699 * [backup-simplify]: Simplify (+ 0 1) into 1 10.700 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.700 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.700 * [taylor]: Taking taylor expansion of 1/2 in im 10.700 * [backup-simplify]: Simplify 1/2 into 1/2 10.700 * [taylor]: Taking taylor expansion of im in im 10.700 * [backup-simplify]: Simplify 0 into 0 10.700 * [backup-simplify]: Simplify 1 into 1 10.701 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.701 * [backup-simplify]: Simplify 0 into 0 10.701 * [backup-simplify]: Simplify 0 into 0 10.701 * [backup-simplify]: Simplify 0 into 0 10.702 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.703 * [backup-simplify]: Simplify (+ 0 0) into 0 10.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.703 * [taylor]: Taking taylor expansion of 0 in im 10.703 * [backup-simplify]: Simplify 0 into 0 10.703 * [backup-simplify]: Simplify 0 into 0 10.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.705 * [backup-simplify]: Simplify 0 into 0 10.705 * [backup-simplify]: Simplify 0 into 0 10.705 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.705 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.705 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.705 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.705 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.705 * [taylor]: Taking taylor expansion of re in im 10.705 * [backup-simplify]: Simplify re into re 10.705 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.705 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.705 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.705 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.705 * [taylor]: Taking taylor expansion of im in im 10.705 * [backup-simplify]: Simplify 0 into 0 10.705 * [backup-simplify]: Simplify 1 into 1 10.706 * [backup-simplify]: Simplify (* 1 1) into 1 10.706 * [backup-simplify]: Simplify (/ 1 1) into 1 10.707 * [backup-simplify]: Simplify (+ 0 1) into 1 10.707 * [backup-simplify]: Simplify (sqrt 1) into 1 10.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.709 * [backup-simplify]: Simplify (+ 0 0) into 0 10.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.710 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.710 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.710 * [taylor]: Taking taylor expansion of re in re 10.710 * [backup-simplify]: Simplify 0 into 0 10.710 * [backup-simplify]: Simplify 1 into 1 10.711 * [backup-simplify]: Simplify (* 1 1) into 1 10.711 * [backup-simplify]: Simplify (/ 1 1) into 1 10.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.711 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.711 * [taylor]: Taking taylor expansion of im in re 10.711 * [backup-simplify]: Simplify im into im 10.711 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.711 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.712 * [backup-simplify]: Simplify (+ 1 0) into 1 10.712 * [backup-simplify]: Simplify (sqrt 1) into 1 10.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.714 * [backup-simplify]: Simplify (+ 0 0) into 0 10.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.715 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.715 * [taylor]: Taking taylor expansion of re in re 10.715 * [backup-simplify]: Simplify 0 into 0 10.715 * [backup-simplify]: Simplify 1 into 1 10.715 * [backup-simplify]: Simplify (* 1 1) into 1 10.715 * [backup-simplify]: Simplify (/ 1 1) into 1 10.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.715 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.715 * [taylor]: Taking taylor expansion of im in re 10.716 * [backup-simplify]: Simplify im into im 10.716 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.716 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.716 * [backup-simplify]: Simplify (+ 1 0) into 1 10.716 * [backup-simplify]: Simplify (sqrt 1) into 1 10.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.718 * [backup-simplify]: Simplify (+ 0 0) into 0 10.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.719 * [taylor]: Taking taylor expansion of 1 in im 10.719 * [backup-simplify]: Simplify 1 into 1 10.719 * [taylor]: Taking taylor expansion of 0 in im 10.719 * [backup-simplify]: Simplify 0 into 0 10.719 * [backup-simplify]: Simplify 1 into 1 10.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.721 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.722 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.722 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.722 * [taylor]: Taking taylor expansion of 1/2 in im 10.722 * [backup-simplify]: Simplify 1/2 into 1/2 10.722 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.722 * [taylor]: Taking taylor expansion of im in im 10.722 * [backup-simplify]: Simplify 0 into 0 10.722 * [backup-simplify]: Simplify 1 into 1 10.723 * [backup-simplify]: Simplify (* 1 1) into 1 10.723 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.725 * [backup-simplify]: Simplify 0 into 0 10.725 * [backup-simplify]: Simplify 0 into 0 10.725 * [backup-simplify]: Simplify 0 into 0 10.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.727 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.727 * [backup-simplify]: Simplify (+ 0 0) into 0 10.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.728 * [taylor]: Taking taylor expansion of 0 in im 10.728 * [backup-simplify]: Simplify 0 into 0 10.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.730 * [backup-simplify]: Simplify 0 into 0 10.730 * [backup-simplify]: Simplify 0 into 0 10.730 * [backup-simplify]: Simplify 0 into 0 10.730 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.730 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.730 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.730 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.730 * [taylor]: Taking taylor expansion of re in im 10.730 * [backup-simplify]: Simplify re into re 10.730 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.731 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.731 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.731 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.731 * [taylor]: Taking taylor expansion of im in im 10.731 * [backup-simplify]: Simplify 0 into 0 10.731 * [backup-simplify]: Simplify 1 into 1 10.731 * [backup-simplify]: Simplify (* 1 1) into 1 10.731 * [backup-simplify]: Simplify (/ 1 1) into 1 10.732 * [backup-simplify]: Simplify (+ 0 1) into 1 10.732 * [backup-simplify]: Simplify (sqrt 1) into 1 10.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.734 * [backup-simplify]: Simplify (+ 0 0) into 0 10.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.735 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.735 * [taylor]: Taking taylor expansion of re in re 10.735 * [backup-simplify]: Simplify 0 into 0 10.735 * [backup-simplify]: Simplify 1 into 1 10.735 * [backup-simplify]: Simplify (* 1 1) into 1 10.735 * [backup-simplify]: Simplify (/ 1 1) into 1 10.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.736 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.736 * [taylor]: Taking taylor expansion of im in re 10.736 * [backup-simplify]: Simplify im into im 10.736 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.736 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.736 * [backup-simplify]: Simplify (+ 1 0) into 1 10.737 * [backup-simplify]: Simplify (sqrt 1) into 1 10.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.738 * [backup-simplify]: Simplify (+ 0 0) into 0 10.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.739 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.739 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.739 * [taylor]: Taking taylor expansion of re in re 10.739 * [backup-simplify]: Simplify 0 into 0 10.739 * [backup-simplify]: Simplify 1 into 1 10.739 * [backup-simplify]: Simplify (* 1 1) into 1 10.740 * [backup-simplify]: Simplify (/ 1 1) into 1 10.740 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.740 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.740 * [taylor]: Taking taylor expansion of im in re 10.740 * [backup-simplify]: Simplify im into im 10.740 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.740 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.740 * [backup-simplify]: Simplify (+ 1 0) into 1 10.741 * [backup-simplify]: Simplify (sqrt 1) into 1 10.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.743 * [backup-simplify]: Simplify (+ 0 0) into 0 10.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.744 * [taylor]: Taking taylor expansion of 1 in im 10.744 * [backup-simplify]: Simplify 1 into 1 10.744 * [taylor]: Taking taylor expansion of 0 in im 10.744 * [backup-simplify]: Simplify 0 into 0 10.744 * [backup-simplify]: Simplify 1 into 1 10.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.746 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.747 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.747 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.747 * [taylor]: Taking taylor expansion of 1/2 in im 10.747 * [backup-simplify]: Simplify 1/2 into 1/2 10.747 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.747 * [taylor]: Taking taylor expansion of im in im 10.747 * [backup-simplify]: Simplify 0 into 0 10.747 * [backup-simplify]: Simplify 1 into 1 10.747 * [backup-simplify]: Simplify (* 1 1) into 1 10.748 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.749 * [backup-simplify]: Simplify 0 into 0 10.749 * [backup-simplify]: Simplify 0 into 0 10.749 * [backup-simplify]: Simplify 0 into 0 10.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.751 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.752 * [backup-simplify]: Simplify (+ 0 0) into 0 10.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.752 * [taylor]: Taking taylor expansion of 0 in im 10.752 * [backup-simplify]: Simplify 0 into 0 10.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.754 * [backup-simplify]: Simplify 0 into 0 10.754 * [backup-simplify]: Simplify 0 into 0 10.755 * [backup-simplify]: Simplify 0 into 0 10.755 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.755 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1 1) 10.755 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.755 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.755 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.755 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.755 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.755 * [taylor]: Taking taylor expansion of im in im 10.755 * [backup-simplify]: Simplify 0 into 0 10.755 * [backup-simplify]: Simplify 1 into 1 10.755 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.755 * [taylor]: Taking taylor expansion of re in im 10.755 * [backup-simplify]: Simplify re into re 10.755 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.755 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.755 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.755 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.756 * [backup-simplify]: Simplify (+ 0 0) into 0 10.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.756 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.756 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.756 * [taylor]: Taking taylor expansion of im in re 10.756 * [backup-simplify]: Simplify im into im 10.756 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.756 * [taylor]: Taking taylor expansion of re in re 10.756 * [backup-simplify]: Simplify 0 into 0 10.756 * [backup-simplify]: Simplify 1 into 1 10.756 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.756 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.756 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.757 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.757 * [backup-simplify]: Simplify (+ 0 0) into 0 10.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.757 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.757 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.757 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.757 * [taylor]: Taking taylor expansion of im in re 10.757 * [backup-simplify]: Simplify im into im 10.757 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.757 * [taylor]: Taking taylor expansion of re in re 10.757 * [backup-simplify]: Simplify 0 into 0 10.757 * [backup-simplify]: Simplify 1 into 1 10.757 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.757 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.757 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.758 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.758 * [backup-simplify]: Simplify (+ 0 0) into 0 10.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.758 * [taylor]: Taking taylor expansion of im in im 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify 1 into 1 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [taylor]: Taking taylor expansion of 0 in im 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify 1 into 1 10.759 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.759 * [backup-simplify]: Simplify (* 1 1) into 1 10.759 * [backup-simplify]: Simplify (+ 0 1) into 1 10.760 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.760 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.760 * [taylor]: Taking taylor expansion of 1/2 in im 10.760 * [backup-simplify]: Simplify 1/2 into 1/2 10.760 * [taylor]: Taking taylor expansion of im in im 10.760 * [backup-simplify]: Simplify 0 into 0 10.760 * [backup-simplify]: Simplify 1 into 1 10.761 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.762 * [backup-simplify]: Simplify 0 into 0 10.762 * [backup-simplify]: Simplify 0 into 0 10.762 * [backup-simplify]: Simplify 0 into 0 10.763 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.764 * [backup-simplify]: Simplify (+ 0 0) into 0 10.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.764 * [taylor]: Taking taylor expansion of 0 in im 10.764 * [backup-simplify]: Simplify 0 into 0 10.764 * [backup-simplify]: Simplify 0 into 0 10.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.765 * [backup-simplify]: Simplify 0 into 0 10.765 * [backup-simplify]: Simplify 0 into 0 10.765 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.766 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.766 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.766 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.766 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.766 * [taylor]: Taking taylor expansion of re in im 10.766 * [backup-simplify]: Simplify re into re 10.766 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.766 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.766 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.766 * [taylor]: Taking taylor expansion of im in im 10.766 * [backup-simplify]: Simplify 0 into 0 10.766 * [backup-simplify]: Simplify 1 into 1 10.767 * [backup-simplify]: Simplify (* 1 1) into 1 10.767 * [backup-simplify]: Simplify (/ 1 1) into 1 10.767 * [backup-simplify]: Simplify (+ 0 1) into 1 10.768 * [backup-simplify]: Simplify (sqrt 1) into 1 10.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.770 * [backup-simplify]: Simplify (+ 0 0) into 0 10.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.771 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.771 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.771 * [taylor]: Taking taylor expansion of re in re 10.771 * [backup-simplify]: Simplify 0 into 0 10.771 * [backup-simplify]: Simplify 1 into 1 10.771 * [backup-simplify]: Simplify (* 1 1) into 1 10.772 * [backup-simplify]: Simplify (/ 1 1) into 1 10.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.772 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.772 * [taylor]: Taking taylor expansion of im in re 10.772 * [backup-simplify]: Simplify im into im 10.772 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.772 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.773 * [backup-simplify]: Simplify (+ 1 0) into 1 10.773 * [backup-simplify]: Simplify (sqrt 1) into 1 10.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.775 * [backup-simplify]: Simplify (+ 0 0) into 0 10.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.776 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.776 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.776 * [taylor]: Taking taylor expansion of re in re 10.776 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify 1 into 1 10.776 * [backup-simplify]: Simplify (* 1 1) into 1 10.777 * [backup-simplify]: Simplify (/ 1 1) into 1 10.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.777 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.777 * [taylor]: Taking taylor expansion of im in re 10.777 * [backup-simplify]: Simplify im into im 10.777 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.777 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.777 * [backup-simplify]: Simplify (+ 1 0) into 1 10.778 * [backup-simplify]: Simplify (sqrt 1) into 1 10.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.780 * [backup-simplify]: Simplify (+ 0 0) into 0 10.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.780 * [taylor]: Taking taylor expansion of 1 in im 10.781 * [backup-simplify]: Simplify 1 into 1 10.781 * [taylor]: Taking taylor expansion of 0 in im 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 1 into 1 10.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.783 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.784 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.784 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.784 * [taylor]: Taking taylor expansion of 1/2 in im 10.784 * [backup-simplify]: Simplify 1/2 into 1/2 10.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.784 * [taylor]: Taking taylor expansion of im in im 10.784 * [backup-simplify]: Simplify 0 into 0 10.784 * [backup-simplify]: Simplify 1 into 1 10.785 * [backup-simplify]: Simplify (* 1 1) into 1 10.785 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.787 * [backup-simplify]: Simplify 0 into 0 10.787 * [backup-simplify]: Simplify 0 into 0 10.787 * [backup-simplify]: Simplify 0 into 0 10.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.794 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.795 * [backup-simplify]: Simplify (+ 0 0) into 0 10.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.796 * [taylor]: Taking taylor expansion of 0 in im 10.796 * [backup-simplify]: Simplify 0 into 0 10.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.798 * [backup-simplify]: Simplify 0 into 0 10.798 * [backup-simplify]: Simplify 0 into 0 10.798 * [backup-simplify]: Simplify 0 into 0 10.798 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.799 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.799 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.799 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.799 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.799 * [taylor]: Taking taylor expansion of re in im 10.799 * [backup-simplify]: Simplify re into re 10.799 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.800 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.800 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.800 * [taylor]: Taking taylor expansion of im in im 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [backup-simplify]: Simplify 1 into 1 10.800 * [backup-simplify]: Simplify (* 1 1) into 1 10.801 * [backup-simplify]: Simplify (/ 1 1) into 1 10.801 * [backup-simplify]: Simplify (+ 0 1) into 1 10.802 * [backup-simplify]: Simplify (sqrt 1) into 1 10.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.804 * [backup-simplify]: Simplify (+ 0 0) into 0 10.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.805 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.805 * [taylor]: Taking taylor expansion of re in re 10.805 * [backup-simplify]: Simplify 0 into 0 10.805 * [backup-simplify]: Simplify 1 into 1 10.805 * [backup-simplify]: Simplify (* 1 1) into 1 10.806 * [backup-simplify]: Simplify (/ 1 1) into 1 10.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.806 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.806 * [taylor]: Taking taylor expansion of im in re 10.806 * [backup-simplify]: Simplify im into im 10.806 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.806 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.806 * [backup-simplify]: Simplify (+ 1 0) into 1 10.807 * [backup-simplify]: Simplify (sqrt 1) into 1 10.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.809 * [backup-simplify]: Simplify (+ 0 0) into 0 10.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.809 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.809 * [taylor]: Taking taylor expansion of re in re 10.809 * [backup-simplify]: Simplify 0 into 0 10.810 * [backup-simplify]: Simplify 1 into 1 10.810 * [backup-simplify]: Simplify (* 1 1) into 1 10.810 * [backup-simplify]: Simplify (/ 1 1) into 1 10.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.810 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.810 * [taylor]: Taking taylor expansion of im in re 10.810 * [backup-simplify]: Simplify im into im 10.810 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.811 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.811 * [backup-simplify]: Simplify (+ 1 0) into 1 10.811 * [backup-simplify]: Simplify (sqrt 1) into 1 10.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.813 * [backup-simplify]: Simplify (+ 0 0) into 0 10.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.814 * [taylor]: Taking taylor expansion of 1 in im 10.814 * [backup-simplify]: Simplify 1 into 1 10.814 * [taylor]: Taking taylor expansion of 0 in im 10.814 * [backup-simplify]: Simplify 0 into 0 10.814 * [backup-simplify]: Simplify 1 into 1 10.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.816 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.817 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.818 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.818 * [taylor]: Taking taylor expansion of 1/2 in im 10.818 * [backup-simplify]: Simplify 1/2 into 1/2 10.818 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.818 * [taylor]: Taking taylor expansion of im in im 10.818 * [backup-simplify]: Simplify 0 into 0 10.818 * [backup-simplify]: Simplify 1 into 1 10.818 * [backup-simplify]: Simplify (* 1 1) into 1 10.818 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.820 * [backup-simplify]: Simplify 0 into 0 10.820 * [backup-simplify]: Simplify 0 into 0 10.820 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.822 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.823 * [backup-simplify]: Simplify (+ 0 0) into 0 10.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.823 * [taylor]: Taking taylor expansion of 0 in im 10.823 * [backup-simplify]: Simplify 0 into 0 10.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 0 into 0 10.826 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.826 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 2 2 1 1) 10.826 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.826 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.826 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.826 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.826 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.826 * [taylor]: Taking taylor expansion of im in im 10.826 * [backup-simplify]: Simplify 0 into 0 10.826 * [backup-simplify]: Simplify 1 into 1 10.826 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.826 * [taylor]: Taking taylor expansion of re in im 10.826 * [backup-simplify]: Simplify re into re 10.826 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.826 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.826 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.826 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.827 * [backup-simplify]: Simplify (+ 0 0) into 0 10.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.827 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.827 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.827 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.827 * [taylor]: Taking taylor expansion of im in re 10.827 * [backup-simplify]: Simplify im into im 10.827 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.827 * [taylor]: Taking taylor expansion of re in re 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [backup-simplify]: Simplify 1 into 1 10.827 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.827 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.827 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.827 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.828 * [backup-simplify]: Simplify (+ 0 0) into 0 10.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.828 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.828 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.828 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.828 * [taylor]: Taking taylor expansion of im in re 10.828 * [backup-simplify]: Simplify im into im 10.828 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.828 * [taylor]: Taking taylor expansion of re in re 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify 1 into 1 10.828 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.828 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.828 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.828 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.829 * [backup-simplify]: Simplify (+ 0 0) into 0 10.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.829 * [taylor]: Taking taylor expansion of im in im 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify 1 into 1 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [taylor]: Taking taylor expansion of 0 in im 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify 1 into 1 10.830 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.830 * [backup-simplify]: Simplify (* 1 1) into 1 10.830 * [backup-simplify]: Simplify (+ 0 1) into 1 10.832 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.832 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.832 * [taylor]: Taking taylor expansion of 1/2 in im 10.832 * [backup-simplify]: Simplify 1/2 into 1/2 10.832 * [taylor]: Taking taylor expansion of im in im 10.832 * [backup-simplify]: Simplify 0 into 0 10.832 * [backup-simplify]: Simplify 1 into 1 10.832 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.833 * [backup-simplify]: Simplify 0 into 0 10.833 * [backup-simplify]: Simplify 0 into 0 10.833 * [backup-simplify]: Simplify 0 into 0 10.834 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.835 * [backup-simplify]: Simplify (+ 0 0) into 0 10.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.835 * [taylor]: Taking taylor expansion of 0 in im 10.835 * [backup-simplify]: Simplify 0 into 0 10.835 * [backup-simplify]: Simplify 0 into 0 10.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.836 * [backup-simplify]: Simplify 0 into 0 10.836 * [backup-simplify]: Simplify 0 into 0 10.836 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.837 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.837 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.837 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.837 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.837 * [taylor]: Taking taylor expansion of re in im 10.837 * [backup-simplify]: Simplify re into re 10.837 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.837 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.837 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.837 * [taylor]: Taking taylor expansion of im in im 10.837 * [backup-simplify]: Simplify 0 into 0 10.837 * [backup-simplify]: Simplify 1 into 1 10.838 * [backup-simplify]: Simplify (* 1 1) into 1 10.838 * [backup-simplify]: Simplify (/ 1 1) into 1 10.838 * [backup-simplify]: Simplify (+ 0 1) into 1 10.839 * [backup-simplify]: Simplify (sqrt 1) into 1 10.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.840 * [backup-simplify]: Simplify (+ 0 0) into 0 10.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.841 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.841 * [taylor]: Taking taylor expansion of re in re 10.841 * [backup-simplify]: Simplify 0 into 0 10.841 * [backup-simplify]: Simplify 1 into 1 10.842 * [backup-simplify]: Simplify (* 1 1) into 1 10.842 * [backup-simplify]: Simplify (/ 1 1) into 1 10.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.842 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.842 * [taylor]: Taking taylor expansion of im in re 10.842 * [backup-simplify]: Simplify im into im 10.842 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.842 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.843 * [backup-simplify]: Simplify (+ 1 0) into 1 10.843 * [backup-simplify]: Simplify (sqrt 1) into 1 10.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.845 * [backup-simplify]: Simplify (+ 0 0) into 0 10.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.846 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.846 * [taylor]: Taking taylor expansion of re in re 10.846 * [backup-simplify]: Simplify 0 into 0 10.846 * [backup-simplify]: Simplify 1 into 1 10.846 * [backup-simplify]: Simplify (* 1 1) into 1 10.847 * [backup-simplify]: Simplify (/ 1 1) into 1 10.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.847 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.847 * [taylor]: Taking taylor expansion of im in re 10.847 * [backup-simplify]: Simplify im into im 10.847 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.847 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.847 * [backup-simplify]: Simplify (+ 1 0) into 1 10.848 * [backup-simplify]: Simplify (sqrt 1) into 1 10.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.850 * [backup-simplify]: Simplify (+ 0 0) into 0 10.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.850 * [taylor]: Taking taylor expansion of 1 in im 10.850 * [backup-simplify]: Simplify 1 into 1 10.850 * [taylor]: Taking taylor expansion of 0 in im 10.850 * [backup-simplify]: Simplify 0 into 0 10.851 * [backup-simplify]: Simplify 1 into 1 10.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.852 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.854 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.854 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.854 * [taylor]: Taking taylor expansion of 1/2 in im 10.854 * [backup-simplify]: Simplify 1/2 into 1/2 10.854 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.854 * [taylor]: Taking taylor expansion of im in im 10.854 * [backup-simplify]: Simplify 0 into 0 10.854 * [backup-simplify]: Simplify 1 into 1 10.854 * [backup-simplify]: Simplify (* 1 1) into 1 10.855 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.856 * [backup-simplify]: Simplify 0 into 0 10.857 * [backup-simplify]: Simplify 0 into 0 10.857 * [backup-simplify]: Simplify 0 into 0 10.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.859 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.859 * [backup-simplify]: Simplify (+ 0 0) into 0 10.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.860 * [taylor]: Taking taylor expansion of 0 in im 10.860 * [backup-simplify]: Simplify 0 into 0 10.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.862 * [backup-simplify]: Simplify 0 into 0 10.862 * [backup-simplify]: Simplify 0 into 0 10.862 * [backup-simplify]: Simplify 0 into 0 10.862 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.863 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.863 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.863 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.863 * [taylor]: Taking taylor expansion of re in im 10.863 * [backup-simplify]: Simplify re into re 10.863 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.863 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.863 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.863 * [taylor]: Taking taylor expansion of im in im 10.863 * [backup-simplify]: Simplify 0 into 0 10.863 * [backup-simplify]: Simplify 1 into 1 10.864 * [backup-simplify]: Simplify (* 1 1) into 1 10.865 * [backup-simplify]: Simplify (/ 1 1) into 1 10.865 * [backup-simplify]: Simplify (+ 0 1) into 1 10.866 * [backup-simplify]: Simplify (sqrt 1) into 1 10.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.868 * [backup-simplify]: Simplify (+ 0 0) into 0 10.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.869 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.869 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.869 * [taylor]: Taking taylor expansion of re in re 10.869 * [backup-simplify]: Simplify 0 into 0 10.869 * [backup-simplify]: Simplify 1 into 1 10.869 * [backup-simplify]: Simplify (* 1 1) into 1 10.869 * [backup-simplify]: Simplify (/ 1 1) into 1 10.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.869 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.869 * [taylor]: Taking taylor expansion of im in re 10.870 * [backup-simplify]: Simplify im into im 10.870 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.870 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.870 * [backup-simplify]: Simplify (+ 1 0) into 1 10.871 * [backup-simplify]: Simplify (sqrt 1) into 1 10.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.872 * [backup-simplify]: Simplify (+ 0 0) into 0 10.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.873 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.873 * [taylor]: Taking taylor expansion of re in re 10.873 * [backup-simplify]: Simplify 0 into 0 10.873 * [backup-simplify]: Simplify 1 into 1 10.874 * [backup-simplify]: Simplify (* 1 1) into 1 10.874 * [backup-simplify]: Simplify (/ 1 1) into 1 10.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.874 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.874 * [taylor]: Taking taylor expansion of im in re 10.874 * [backup-simplify]: Simplify im into im 10.874 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.874 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.875 * [backup-simplify]: Simplify (+ 1 0) into 1 10.875 * [backup-simplify]: Simplify (sqrt 1) into 1 10.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.877 * [backup-simplify]: Simplify (+ 0 0) into 0 10.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.878 * [taylor]: Taking taylor expansion of 1 in im 10.878 * [backup-simplify]: Simplify 1 into 1 10.878 * [taylor]: Taking taylor expansion of 0 in im 10.878 * [backup-simplify]: Simplify 0 into 0 10.878 * [backup-simplify]: Simplify 1 into 1 10.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.880 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.881 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.881 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.881 * [taylor]: Taking taylor expansion of 1/2 in im 10.881 * [backup-simplify]: Simplify 1/2 into 1/2 10.881 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.881 * [taylor]: Taking taylor expansion of im in im 10.881 * [backup-simplify]: Simplify 0 into 0 10.881 * [backup-simplify]: Simplify 1 into 1 10.882 * [backup-simplify]: Simplify (* 1 1) into 1 10.882 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.884 * [backup-simplify]: Simplify 0 into 0 10.884 * [backup-simplify]: Simplify 0 into 0 10.884 * [backup-simplify]: Simplify 0 into 0 10.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.886 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.886 * [backup-simplify]: Simplify (+ 0 0) into 0 10.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.887 * [taylor]: Taking taylor expansion of 0 in im 10.887 * [backup-simplify]: Simplify 0 into 0 10.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.889 * [backup-simplify]: Simplify 0 into 0 10.889 * [backup-simplify]: Simplify 0 into 0 10.889 * [backup-simplify]: Simplify 0 into 0 10.889 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.889 * * * [progress]: simplifying candidates 10.889 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 10.890 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 10.890 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 10.890 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 10.890 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 10.890 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 10.890 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 10.890 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 10.890 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 10.890 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 10.890 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 10.891 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 10.891 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 10.891 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 10.891 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 10.891 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))))) re)))))> 10.891 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 10.891 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 10.891 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 10.892 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 10.892 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 10.892 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 10.892 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 10.892 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 10.892 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 10.892 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 10.892 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 10.892 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 10.892 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 10.892 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 10.893 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 10.893 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im)))))))) re)))))> 10.893 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 10.893 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 10.893 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 10.893 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 10.893 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 10.893 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 10.893 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 10.893 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 10.893 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 10.894 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 10.894 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 10.894 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 10.894 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 10.894 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 10.894 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 10.894 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))))) re)))))> 10.894 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 10.894 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 10.894 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 10.895 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 10.895 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 10.895 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 10.895 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 10.895 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 10.895 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 10.895 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 10.895 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 10.895 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 10.895 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 10.895 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))))) re)))))> 10.896 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 10.896 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 10.897 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 10.898 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 10.899 * * [simplify]: iteration 1: (39 enodes) 10.908 * * [simplify]: iteration 2: (92 enodes) 10.932 * * [simplify]: iteration 3: (196 enodes) 10.994 * * [simplify]: iteration 4: (437 enodes) 11.203 * * [simplify]: iteration 5: (990 enodes) 11.841 * * [simplify]: Extracting #0: cost 19 inf + 0 11.841 * * [simplify]: Extracting #1: cost 27 inf + 4 11.841 * * [simplify]: Extracting #2: cost 175 inf + 47 11.844 * * [simplify]: Extracting #3: cost 532 inf + 3549 11.854 * * [simplify]: Extracting #4: cost 374 inf + 50072 11.898 * * [simplify]: Extracting #5: cost 100 inf + 116823 11.959 * * [simplify]: Extracting #6: cost 11 inf + 151976 12.001 * * [simplify]: Extracting #7: cost 0 inf + 157931 12.038 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 12.073 * * * [progress]: adding candidates to table 13.771 * [progress]: [Phase 3 of 3] Extracting. 13.772 * * [regime]: Finding splitpoints for: (#real (real->posit16 (sqrt (+ (* re re) (* im im)))))))))) re)))))> # # # # # # #) 13.778 * * * [regime-changes]: Trying 3 branch expressions: (im (* im im) re) 13.779 * * * * [regimes]: Trying to branch on im from (#real (real->posit16 (sqrt (+ (* re re) (* im im)))))))))) re)))))> # # # # # # #) 13.933 * * * * [regimes]: Trying to branch on (* im im) from (#real (real->posit16 (sqrt (+ (* re re) (* im im)))))))))) re)))))> # # # # # # #) 13.994 * * * * [regimes]: Trying to branch on (* im im) from (#real (real->posit16 (sqrt (+ (* re re) (* im im)))))))))) re)))))> # # # # # #) 14.078 * * * * [regimes]: Trying to branch on re from (#real (real->posit16 (sqrt (+ (* re re) (* im im)))))))))) re)))))> # # # # # # #) 14.180 * * * [regime]: Found split indices: #