0.642 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.439 * * * [progress]: [2/2] Setting up program. 0.447 * [progress]: [Phase 2 of 3] Improving. 0.448 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.451 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.452 * * [simplify]: iteration 1: (12 enodes) 0.460 * * [simplify]: iteration 2: (17 enodes) 0.463 * * [simplify]: iteration 3: (24 enodes) 0.468 * * [simplify]: iteration 4: (30 enodes) 0.474 * * [simplify]: iteration 5: (35 enodes) 0.516 * * [simplify]: Extracting #0: cost 1 inf + 0 0.517 * * [simplify]: Extracting #1: cost 3 inf + 0 0.518 * * [simplify]: Extracting #2: cost 3 inf + 1 0.518 * * [simplify]: Extracting #3: cost 8 inf + 1 0.518 * * [simplify]: Extracting #4: cost 11 inf + 2 0.518 * * [simplify]: Extracting #5: cost 7 inf + 209 0.518 * * [simplify]: Extracting #6: cost 9 inf + 209 0.519 * * [simplify]: Extracting #7: cost 9 inf + 250 0.519 * * [simplify]: Extracting #8: cost 7 inf + 292 0.519 * * [simplify]: Extracting #9: cost 5 inf + 576 0.520 * * [simplify]: Extracting #10: cost 2 inf + 1224 0.521 * * [simplify]: Extracting #11: cost 0 inf + 1831 0.522 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.532 * * [progress]: iteration 1 / 4 0.532 * * * [progress]: picking best candidate 0.569 * * * * [pick]: Picked # 0.569 * * * [progress]: localizing error 0.620 * * * [progress]: generating rewritten candidates 0.622 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.644 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.692 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.715 * * * [progress]: generating series expansions 0.715 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.721 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.721 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.722 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.722 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.723 * [taylor]: Taking taylor expansion of re in im 0.723 * [backup-simplify]: Simplify re into re 0.723 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.723 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.724 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.724 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.724 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.724 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.724 * [taylor]: Taking taylor expansion of im in re 0.725 * [backup-simplify]: Simplify im into im 0.725 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.725 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.725 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.725 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.725 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.725 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [backup-simplify]: Simplify im into im 0.725 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.726 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.726 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.727 * [taylor]: Taking taylor expansion of im in im 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify 0 into 0 0.728 * [taylor]: Taking taylor expansion of 0 in im 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.734 * [backup-simplify]: Simplify (* 1 1) into 1 0.735 * [backup-simplify]: Simplify (+ 0 1) into 1 0.736 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.736 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.736 * [taylor]: Taking taylor expansion of 1/2 in im 0.736 * [backup-simplify]: Simplify 1/2 into 1/2 0.736 * [taylor]: Taking taylor expansion of im in im 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.740 * [taylor]: Taking taylor expansion of 0 in im 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.742 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.742 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.742 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.742 * [taylor]: Taking taylor expansion of re in im 0.742 * [backup-simplify]: Simplify re into re 0.742 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.743 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.743 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.743 * [taylor]: Taking taylor expansion of im in im 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (* 1 1) into 1 0.744 * [backup-simplify]: Simplify (/ 1 1) into 1 0.744 * [backup-simplify]: Simplify (+ 0 1) into 1 0.745 * [backup-simplify]: Simplify (sqrt 1) into 1 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.748 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (* 1 1) into 1 0.748 * [backup-simplify]: Simplify (/ 1 1) into 1 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.748 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.749 * [backup-simplify]: Simplify im into im 0.749 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.749 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.749 * [backup-simplify]: Simplify (+ 1 0) into 1 0.750 * [backup-simplify]: Simplify (sqrt 1) into 1 0.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.752 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.752 * [taylor]: Taking taylor expansion of re in re 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (* 1 1) into 1 0.753 * [backup-simplify]: Simplify (/ 1 1) into 1 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.753 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.753 * [taylor]: Taking taylor expansion of im in re 0.753 * [backup-simplify]: Simplify im into im 0.753 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.753 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.754 * [backup-simplify]: Simplify (+ 1 0) into 1 0.754 * [backup-simplify]: Simplify (sqrt 1) into 1 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.758 * [taylor]: Taking taylor expansion of 1 in im 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of 0 in im 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.762 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.762 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.762 * [taylor]: Taking taylor expansion of 1/2 in im 0.762 * [backup-simplify]: Simplify 1/2 into 1/2 0.762 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.762 * [taylor]: Taking taylor expansion of im in im 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (* 1 1) into 1 0.762 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.766 * [taylor]: Taking taylor expansion of 0 in im 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.767 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.767 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.767 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.767 * [taylor]: Taking taylor expansion of re in im 0.767 * [backup-simplify]: Simplify re into re 0.767 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.767 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.767 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.767 * [taylor]: Taking taylor expansion of im in im 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (* 1 1) into 1 0.768 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [backup-simplify]: Simplify (+ 0 1) into 1 0.768 * [backup-simplify]: Simplify (sqrt 1) into 1 0.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ 0 0) into 0 0.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.770 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.771 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.771 * [taylor]: Taking taylor expansion of re in re 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.771 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.771 * [taylor]: Taking taylor expansion of im in re 0.771 * [backup-simplify]: Simplify im into im 0.771 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.771 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.772 * [backup-simplify]: Simplify (+ 1 0) into 1 0.772 * [backup-simplify]: Simplify (sqrt 1) into 1 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.774 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.774 * [taylor]: Taking taylor expansion of re in re 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (* 1 1) into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.774 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.774 * [taylor]: Taking taylor expansion of im in re 0.774 * [backup-simplify]: Simplify im into im 0.774 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.775 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.775 * [backup-simplify]: Simplify (+ 1 0) into 1 0.775 * [backup-simplify]: Simplify (sqrt 1) into 1 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.777 * [taylor]: Taking taylor expansion of 1 in im 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [taylor]: Taking taylor expansion of 0 in im 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.779 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.779 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.779 * [taylor]: Taking taylor expansion of 1/2 in im 0.779 * [backup-simplify]: Simplify 1/2 into 1/2 0.779 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (* 1 1) into 1 0.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.782 * [backup-simplify]: Simplify (+ 0 0) into 0 0.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.782 * [taylor]: Taking taylor expansion of 0 in im 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.784 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.784 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 0.784 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 0.784 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.784 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.784 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.784 * [taylor]: Taking taylor expansion of im in im 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.784 * [taylor]: Taking taylor expansion of re in im 0.784 * [backup-simplify]: Simplify re into re 0.784 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.784 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.784 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.784 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.785 * [taylor]: Taking taylor expansion of re in im 0.785 * [backup-simplify]: Simplify re into re 0.785 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.785 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.785 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.785 * [taylor]: Taking taylor expansion of im in re 0.785 * [backup-simplify]: Simplify im into im 0.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.785 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.785 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.785 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.786 * [backup-simplify]: Simplify (+ 0 0) into 0 0.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.786 * [taylor]: Taking taylor expansion of re in re 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.786 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.786 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.786 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.786 * [taylor]: Taking taylor expansion of im in re 0.786 * [backup-simplify]: Simplify im into im 0.786 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.786 * [taylor]: Taking taylor expansion of re in re 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.786 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.786 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.786 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.786 * [backup-simplify]: Simplify (+ 0 0) into 0 0.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.786 * [taylor]: Taking taylor expansion of re in re 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (- 0) into 0 0.787 * [backup-simplify]: Simplify (+ im 0) into im 0.787 * [taylor]: Taking taylor expansion of im in im 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (- 1) into -1 0.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.787 * [taylor]: Taking taylor expansion of -1 in im 0.787 * [backup-simplify]: Simplify -1 into -1 0.787 * [backup-simplify]: Simplify -1 into -1 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.788 * [backup-simplify]: Simplify (* 1 1) into 1 0.789 * [backup-simplify]: Simplify (+ 0 1) into 1 0.789 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.789 * [backup-simplify]: Simplify (- 0) into 0 0.789 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.789 * [taylor]: Taking taylor expansion of 1/2 in im 0.789 * [backup-simplify]: Simplify 1/2 into 1/2 0.789 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.789 * [taylor]: Taking taylor expansion of im in im 0.789 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.792 * [backup-simplify]: Simplify (- 0) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [taylor]: Taking taylor expansion of 0 in im 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.794 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.794 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.794 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.794 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.794 * [taylor]: Taking taylor expansion of re in im 0.794 * [backup-simplify]: Simplify re into re 0.794 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.794 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.794 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.794 * [taylor]: Taking taylor expansion of im in im 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (* 1 1) into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [backup-simplify]: Simplify (+ 0 1) 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 re) in im 0.797 * [taylor]: Taking taylor expansion of re in im 0.797 * [backup-simplify]: Simplify re into re 0.797 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.797 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.797 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.797 * [taylor]: Taking taylor expansion of re in re 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* 1 1) into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.798 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.798 * [taylor]: Taking taylor expansion of im in re 0.798 * [backup-simplify]: Simplify im into im 0.798 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.798 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.798 * [backup-simplify]: Simplify (+ 1 0) into 1 0.798 * [backup-simplify]: Simplify (sqrt 1) into 1 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.800 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.800 * [taylor]: Taking taylor expansion of re in re 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 0.800 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.800 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.800 * [taylor]: Taking taylor expansion of re in re 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.801 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.801 * [taylor]: Taking taylor expansion of im in re 0.801 * [backup-simplify]: Simplify im into im 0.801 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.801 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.801 * [backup-simplify]: Simplify (+ 1 0) into 1 0.802 * [backup-simplify]: Simplify (sqrt 1) into 1 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.803 * [taylor]: Taking taylor expansion of re in re 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [backup-simplify]: Simplify (- 1) into -1 0.804 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.804 * [taylor]: Taking taylor expansion of 0 in im 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (- 0) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [taylor]: Taking taylor expansion of 0 in im 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.807 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (- 0) into 0 0.808 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.808 * [taylor]: Taking taylor expansion of 1/2 in im 0.808 * [backup-simplify]: Simplify 1/2 into 1/2 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.808 * [taylor]: Taking taylor expansion of im in im 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (* 1 1) into 1 0.808 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (- 0) into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.813 * [taylor]: Taking taylor expansion of 0 in im 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [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))))) 0.815 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.815 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.815 * [taylor]: Taking taylor expansion of re in im 0.815 * [backup-simplify]: Simplify re into re 0.815 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.815 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.815 * [taylor]: Taking taylor expansion of re in im 0.815 * [backup-simplify]: Simplify re into re 0.815 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.815 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.815 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.815 * [taylor]: Taking taylor expansion of im in im 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (* 1 1) into 1 0.816 * [backup-simplify]: Simplify (/ 1 1) into 1 0.816 * [backup-simplify]: Simplify (+ 0 1) into 1 0.816 * [backup-simplify]: Simplify (sqrt 1) into 1 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.818 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (/ 1 1) into 1 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.818 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (* 1 1) into 1 0.819 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.819 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.819 * [taylor]: Taking taylor expansion of im in re 0.819 * [backup-simplify]: Simplify im into im 0.819 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.819 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.819 * [backup-simplify]: Simplify (+ 1 0) into 1 0.819 * [backup-simplify]: Simplify (sqrt 1) into 1 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.821 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (/ 1 1) into 1 0.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.821 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (* 1 1) into 1 0.822 * [backup-simplify]: Simplify (/ 1 1) into 1 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.822 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.822 * [taylor]: Taking taylor expansion of im in re 0.822 * [backup-simplify]: Simplify im into im 0.822 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.822 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.822 * [backup-simplify]: Simplify (+ 1 0) into 1 0.822 * [backup-simplify]: Simplify (sqrt 1) into 1 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.824 * [backup-simplify]: Simplify (+ 1 1) into 2 0.824 * [taylor]: Taking taylor expansion of 2 in im 0.824 * [backup-simplify]: Simplify 2 into 2 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [taylor]: Taking taylor expansion of 0 in im 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 2 into 2 0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.827 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.828 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.828 * [taylor]: Taking taylor expansion of 1/2 in im 0.828 * [backup-simplify]: Simplify 1/2 into 1/2 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.828 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.828 * [taylor]: Taking taylor expansion of im in im 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (* 1 1) into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [taylor]: Taking taylor expansion of 0 in im 0.832 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.834 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.835 * [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))) 0.835 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0 0.835 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 0.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.835 * [taylor]: Taking taylor expansion of 2.0 in im 0.835 * [backup-simplify]: Simplify 2.0 into 2.0 0.835 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.836 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 0.836 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.836 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.836 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.836 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.836 * [taylor]: Taking taylor expansion of re in im 0.836 * [backup-simplify]: Simplify re into re 0.836 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.836 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.836 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.836 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.836 * [taylor]: Taking taylor expansion of re in im 0.836 * [backup-simplify]: Simplify re into re 0.836 * [backup-simplify]: Simplify (- re) into (- re) 0.836 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.837 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [backup-simplify]: Simplify (* 1 1) into 1 0.842 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.843 * [backup-simplify]: Simplify (+ 1 0) into 1 0.843 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.843 * [backup-simplify]: Simplify (- 0) into 0 0.843 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.844 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.846 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.846 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.846 * [taylor]: Taking taylor expansion of 2.0 in re 0.846 * [backup-simplify]: Simplify 2.0 into 2.0 0.846 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.846 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.847 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.847 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.847 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.847 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.847 * [taylor]: Taking taylor expansion of im in re 0.847 * [backup-simplify]: Simplify im into im 0.847 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.847 * [taylor]: Taking taylor expansion of re in re 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.847 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.847 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.847 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.847 * [taylor]: Taking taylor expansion of re in re 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (- 0) into 0 0.848 * [backup-simplify]: Simplify (+ im 0) into im 0.848 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.848 * [backup-simplify]: Simplify (- 1) into -1 0.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.849 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.849 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.849 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.849 * [taylor]: Taking taylor expansion of 2.0 in re 0.849 * [backup-simplify]: Simplify 2.0 into 2.0 0.849 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.850 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.850 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.850 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.850 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.850 * [taylor]: Taking taylor expansion of im in re 0.850 * [backup-simplify]: Simplify im into im 0.850 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.850 * [taylor]: Taking taylor expansion of re in re 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.850 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.850 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.850 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.851 * [taylor]: Taking taylor expansion of re in re 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (- 0) into 0 0.851 * [backup-simplify]: Simplify (+ im 0) into im 0.851 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.851 * [backup-simplify]: Simplify (- 1) into -1 0.852 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.852 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.852 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.852 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.852 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.852 * [taylor]: Taking taylor expansion of 2.0 in im 0.852 * [backup-simplify]: Simplify 2.0 into 2.0 0.852 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.853 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.853 * [taylor]: Taking taylor expansion of im in im 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (sqrt 0) into 0 0.856 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.857 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.858 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.858 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.858 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.858 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.858 * [taylor]: Taking taylor expansion of 1/2 in im 0.858 * [backup-simplify]: Simplify 1/2 into 1/2 0.858 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.859 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.859 * [taylor]: Taking taylor expansion of 2.0 in im 0.859 * [backup-simplify]: Simplify 2.0 into 2.0 0.859 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.859 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.859 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.859 * [taylor]: Taking taylor expansion of im in im 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (/ 1 1) into 1 0.860 * [backup-simplify]: Simplify (sqrt 0) into 0 0.861 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.866 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.867 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.867 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.870 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.872 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.873 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.874 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.875 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.877 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.878 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.881 * [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))))))) 0.881 * [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)))) 0.881 * [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 0.881 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.881 * [taylor]: Taking taylor expansion of 2.0 in im 0.881 * [backup-simplify]: Simplify 2.0 into 2.0 0.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.882 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.882 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.882 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.882 * [taylor]: Taking taylor expansion of re in im 0.882 * [backup-simplify]: Simplify re into re 0.882 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.882 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.882 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.882 * [taylor]: Taking taylor expansion of im in im 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (* 1 1) into 1 0.883 * [backup-simplify]: Simplify (/ 1 1) into 1 0.883 * [backup-simplify]: Simplify (+ 0 1) into 1 0.883 * [backup-simplify]: Simplify (sqrt 1) into 1 0.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ 0 0) into 0 0.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.885 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.885 * [taylor]: Taking taylor expansion of re in im 0.885 * [backup-simplify]: Simplify re into re 0.885 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.885 * [backup-simplify]: Simplify (+ 1 0) into 1 0.885 * [backup-simplify]: Simplify (sqrt 0) into 0 0.886 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.886 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.886 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.886 * [taylor]: Taking taylor expansion of 2.0 in re 0.886 * [backup-simplify]: Simplify 2.0 into 2.0 0.887 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.888 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.888 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.888 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.888 * [taylor]: Taking taylor expansion of re in re 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (* 1 1) into 1 0.889 * [backup-simplify]: Simplify (/ 1 1) into 1 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.889 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.889 * [taylor]: Taking taylor expansion of im in re 0.889 * [backup-simplify]: Simplify im into im 0.889 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.889 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.889 * [backup-simplify]: Simplify (+ 1 0) into 1 0.889 * [backup-simplify]: Simplify (sqrt 1) into 1 0.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ 0 0) into 0 0.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.891 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.891 * [taylor]: Taking taylor expansion of re in re 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (/ 1 1) into 1 0.891 * [backup-simplify]: Simplify (- 1) into -1 0.892 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (- 0) into 0 0.893 * [backup-simplify]: Simplify (+ 0 0) into 0 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.895 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.896 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.896 * [backup-simplify]: Simplify (sqrt 0) into 0 0.896 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.896 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.896 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.896 * [taylor]: Taking taylor expansion of 2.0 in re 0.896 * [backup-simplify]: Simplify 2.0 into 2.0 0.897 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.897 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.897 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.897 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.897 * [taylor]: Taking taylor expansion of re in re 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (* 1 1) into 1 0.898 * [backup-simplify]: Simplify (/ 1 1) into 1 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.898 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.898 * [taylor]: Taking taylor expansion of im in re 0.898 * [backup-simplify]: Simplify im into im 0.898 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.898 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.898 * [backup-simplify]: Simplify (+ 1 0) into 1 0.898 * [backup-simplify]: Simplify (sqrt 1) into 1 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.900 * [taylor]: Taking taylor expansion of (/ 1 re) 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) into -1 0.901 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (- 0) into 0 0.902 * [backup-simplify]: Simplify (+ 0 0) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.904 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (- 0) into 0 0.905 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.905 * [backup-simplify]: Simplify (sqrt 0) into 0 0.905 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.906 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.906 * [taylor]: Taking taylor expansion of 0 in im 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.906 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.906 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.906 * [taylor]: Taking taylor expansion of +nan.0 in im 0.906 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.906 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.906 * [taylor]: Taking taylor expansion of 2.0 in im 0.906 * [backup-simplify]: Simplify 2.0 into 2.0 0.907 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.907 * [taylor]: Taking taylor expansion of im in im 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (* 1 1) into 1 0.908 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.910 * [backup-simplify]: Simplify (- 0) into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (- 0) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.915 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.915 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.915 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.915 * [taylor]: Taking taylor expansion of +nan.0 in im 0.915 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.915 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.915 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.915 * [taylor]: Taking taylor expansion of 2.0 in im 0.915 * [backup-simplify]: Simplify 2.0 into 2.0 0.915 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.915 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.915 * [taylor]: Taking taylor expansion of im in im 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify (* 1 1) into 1 0.916 * [backup-simplify]: Simplify (* 1 1) into 1 0.917 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.917 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.924 * [backup-simplify]: Simplify (- 0) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (- 0) into 0 0.931 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.932 * [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))))) 0.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.937 * [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)))))) 0.937 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.937 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.937 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.937 * [taylor]: Taking taylor expansion of +nan.0 in im 0.937 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.937 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.937 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.937 * [taylor]: Taking taylor expansion of 2.0 in im 0.937 * [backup-simplify]: Simplify 2.0 into 2.0 0.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.938 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.938 * [taylor]: Taking taylor expansion of im in im 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (* 1 1) into 1 0.939 * [backup-simplify]: Simplify (* 1 1) into 1 0.940 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.940 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.940 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.940 * [taylor]: Taking taylor expansion of +nan.0 in im 0.940 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.940 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.940 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.940 * [taylor]: Taking taylor expansion of 2.0 in im 0.940 * [backup-simplify]: Simplify 2.0 into 2.0 0.940 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.940 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.940 * [taylor]: Taking taylor expansion of im in im 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.941 * [backup-simplify]: Simplify (* 1 1) into 1 0.941 * [backup-simplify]: Simplify (* 1 1) into 1 0.941 * [backup-simplify]: Simplify (* 1 1) into 1 0.942 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.942 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.950 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.966 * [backup-simplify]: Simplify (- 0) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [backup-simplify]: Simplify (- 0) into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [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))))))) 0.967 * [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 0.967 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.967 * [taylor]: Taking taylor expansion of 2.0 in im 0.967 * [backup-simplify]: Simplify 2.0 into 2.0 0.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.968 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.968 * [taylor]: Taking taylor expansion of re in im 0.968 * [backup-simplify]: Simplify re into re 0.968 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.968 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.968 * [taylor]: Taking taylor expansion of re in im 0.968 * [backup-simplify]: Simplify re into re 0.968 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.968 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.968 * [taylor]: Taking taylor expansion of (pow im 2) 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 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [backup-simplify]: Simplify (+ 0 1) into 1 0.969 * [backup-simplify]: Simplify (sqrt 1) into 1 0.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.971 * [backup-simplify]: Simplify (+ 0 1) into 1 0.971 * [backup-simplify]: Simplify (sqrt 0) into 0 0.972 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.972 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.972 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.972 * [taylor]: Taking taylor expansion of 2.0 in re 0.972 * [backup-simplify]: Simplify 2.0 into 2.0 0.972 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.973 * [taylor]: Taking taylor expansion of re in re 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (/ 1 1) into 1 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.973 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.973 * [taylor]: Taking taylor expansion of re in re 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.974 * [backup-simplify]: Simplify (* 1 1) into 1 0.974 * [backup-simplify]: Simplify (/ 1 1) into 1 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.974 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.974 * [taylor]: Taking taylor expansion of im in re 0.974 * [backup-simplify]: Simplify im into im 0.974 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.974 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.974 * [backup-simplify]: Simplify (+ 1 0) into 1 0.975 * [backup-simplify]: Simplify (sqrt 1) into 1 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.976 * [backup-simplify]: Simplify (+ 1 1) into 2 0.977 * [backup-simplify]: Simplify (sqrt 0) into 0 0.978 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.978 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.978 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.978 * [taylor]: Taking taylor expansion of 2.0 in re 0.978 * [backup-simplify]: Simplify 2.0 into 2.0 0.978 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.978 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.978 * [taylor]: Taking taylor expansion of re in re 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (/ 1 1) into 1 0.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.979 * [taylor]: Taking taylor expansion of re in re 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (/ 1 1) into 1 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.979 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.979 * [taylor]: Taking taylor expansion of im in re 0.979 * [backup-simplify]: Simplify im into im 0.979 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.980 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.980 * [backup-simplify]: Simplify (+ 1 0) into 1 0.980 * [backup-simplify]: Simplify (sqrt 1) into 1 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.982 * [backup-simplify]: Simplify (+ 1 1) into 2 0.982 * [backup-simplify]: Simplify (sqrt 0) into 0 0.983 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.983 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.983 * [taylor]: Taking taylor expansion of 0 in im 0.983 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.985 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.985 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.985 * [taylor]: Taking taylor expansion of +nan.0 in im 0.985 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.985 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.985 * [taylor]: Taking taylor expansion of 2.0 in im 0.985 * [backup-simplify]: Simplify 2.0 into 2.0 0.985 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.988 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.991 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.991 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.991 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.991 * [taylor]: Taking taylor expansion of +nan.0 in im 0.991 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.991 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.991 * [taylor]: Taking taylor expansion of 2.0 in im 0.991 * [backup-simplify]: Simplify 2.0 into 2.0 0.992 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.993 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.994 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.995 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.995 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.998 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.998 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.000 * [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)) 1.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.002 * [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)))))) 1.002 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.002 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.002 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.002 * [taylor]: Taking taylor expansion of +nan.0 in im 1.002 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.002 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.002 * [taylor]: Taking taylor expansion of 2.0 in im 1.002 * [backup-simplify]: Simplify 2.0 into 2.0 1.002 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.002 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.002 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.002 * [taylor]: Taking taylor expansion of +nan.0 in im 1.002 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.003 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.003 * [taylor]: Taking taylor expansion of 2.0 in im 1.003 * [backup-simplify]: Simplify 2.0 into 2.0 1.003 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.003 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.003 * [taylor]: Taking taylor expansion of im in im 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (* 1 1) into 1 1.004 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.006 * [backup-simplify]: Simplify (- 0) into 0 1.006 * [backup-simplify]: Simplify (+ 0 0) into 0 1.006 * [backup-simplify]: Simplify (- 0) into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.008 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.009 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.009 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.010 * [backup-simplify]: Simplify (- 0) into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.012 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.013 * [backup-simplify]: Simplify (+ 0 0) into 0 1.013 * [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))) 1.014 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.015 * [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)))))) 1.015 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.015 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.015 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.015 * [taylor]: Taking taylor expansion of +nan.0 in im 1.015 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.015 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.015 * [taylor]: Taking taylor expansion of 2.0 in im 1.015 * [backup-simplify]: Simplify 2.0 into 2.0 1.016 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.016 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.016 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.016 * [taylor]: Taking taylor expansion of +nan.0 in im 1.016 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.016 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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 1.017 * [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 (pow im 2) in im 1.017 * [taylor]: Taking taylor expansion of im in im 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.019 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.020 * [backup-simplify]: Simplify (- 0) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.020 * [backup-simplify]: Simplify (- 0) into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.022 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.030 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.033 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.035 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.040 * [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)))))))) 1.041 * * * [progress]: simplifying candidates 1.041 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 1.041 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 1.041 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 1.041 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 1.041 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 1.041 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 1.041 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 1.041 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 1.041 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 16 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.042 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 1.042 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 32 / 55 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.043 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 37 / 55 ] simplifiying candidate # 1.043 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 46 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.044 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 49 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 1.044 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 1.045 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 1.045 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 1.046 * [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)))))))) 1.048 * * [simplify]: iteration 1: (109 enodes) 1.092 * * [simplify]: iteration 2: (230 enodes) 1.165 * * [simplify]: iteration 3: (662 enodes) 1.614 * * [simplify]: Extracting #0: cost 50 inf + 0 1.614 * * [simplify]: Extracting #1: cost 143 inf + 5 1.615 * * [simplify]: Extracting #2: cost 374 inf + 1213 1.620 * * [simplify]: Extracting #3: cost 401 inf + 20080 1.633 * * [simplify]: Extracting #4: cost 128 inf + 69794 1.654 * * [simplify]: Extracting #5: cost 25 inf + 97543 1.683 * * [simplify]: Extracting #6: cost 9 inf + 103192 1.704 * * [simplify]: Extracting #7: cost 0 inf + 106409 1.737 * [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 im) (+ re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (exp (- (sqrt (+ (* im im) (* re re))) re)) (log (- (sqrt (+ (* im im) (* re re))) re)) (exp (- (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)) (+ (* re re) (* (sqrt (+ (* im im) (* re re))) (+ (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) 0) 2.0)) (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) (- re im)) (* (* +nan.0 (sqrt 2.0)) im))) 0 (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))))) 1.745 * * * [progress]: adding candidates to table 2.288 * * [progress]: iteration 2 / 4 2.288 * * * [progress]: picking best candidate 2.304 * * * * [pick]: Picked # 2.305 * * * [progress]: localizing error 2.341 * * * [progress]: generating rewritten candidates 2.341 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.351 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.409 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 2.417 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.458 * * * [progress]: generating series expansions 2.458 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 2.458 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.458 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.459 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.459 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.459 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.459 * [taylor]: Taking taylor expansion of im in im 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.459 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.459 * [taylor]: Taking taylor expansion of re in im 2.459 * [backup-simplify]: Simplify re into re 2.459 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.459 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.459 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.459 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.460 * [backup-simplify]: Simplify (+ 0 0) into 0 2.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.460 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.460 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.460 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.460 * [taylor]: Taking taylor expansion of im in re 2.460 * [backup-simplify]: Simplify im into im 2.460 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.460 * [taylor]: Taking taylor expansion of re in re 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.460 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.460 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.460 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.460 * [backup-simplify]: Simplify (+ 0 0) into 0 2.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.460 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.460 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.460 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.460 * [taylor]: Taking taylor expansion of im in re 2.460 * [backup-simplify]: Simplify im into im 2.460 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.461 * [taylor]: Taking taylor expansion of re in re 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.461 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.461 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.461 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.461 * [backup-simplify]: Simplify (+ 0 0) into 0 2.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.461 * [taylor]: Taking taylor expansion of im in im 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [taylor]: Taking taylor expansion of 0 in im 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.462 * [backup-simplify]: Simplify (* 1 1) into 1 2.462 * [backup-simplify]: Simplify (+ 0 1) into 1 2.463 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.463 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.463 * [taylor]: Taking taylor expansion of 1/2 in im 2.463 * [backup-simplify]: Simplify 1/2 into 1/2 2.463 * [taylor]: Taking taylor expansion of im in im 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.465 * [taylor]: Taking taylor expansion of 0 in im 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.466 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.466 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.466 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.466 * [taylor]: Taking taylor expansion of re in im 2.466 * [backup-simplify]: Simplify re into re 2.466 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.466 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.466 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.466 * [taylor]: Taking taylor expansion of im in im 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.467 * [backup-simplify]: Simplify (* 1 1) into 1 2.467 * [backup-simplify]: Simplify (/ 1 1) into 1 2.467 * [backup-simplify]: Simplify (+ 0 1) into 1 2.467 * [backup-simplify]: Simplify (sqrt 1) into 1 2.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ 0 0) into 0 2.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.469 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.469 * [taylor]: Taking taylor expansion of re in re 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [backup-simplify]: Simplify (* 1 1) into 1 2.469 * [backup-simplify]: Simplify (/ 1 1) into 1 2.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.469 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.469 * [taylor]: Taking taylor expansion of im in re 2.470 * [backup-simplify]: Simplify im into im 2.470 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.470 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.470 * [backup-simplify]: Simplify (+ 1 0) into 1 2.470 * [backup-simplify]: Simplify (sqrt 1) into 1 2.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (+ 0 0) into 0 2.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.472 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.472 * [taylor]: Taking taylor expansion of re in re 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 1 into 1 2.472 * [backup-simplify]: Simplify (* 1 1) into 1 2.472 * [backup-simplify]: Simplify (/ 1 1) into 1 2.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.472 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.472 * [taylor]: Taking taylor expansion of im in re 2.472 * [backup-simplify]: Simplify im into im 2.472 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.472 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.473 * [backup-simplify]: Simplify (+ 1 0) into 1 2.473 * [backup-simplify]: Simplify (sqrt 1) into 1 2.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.474 * [backup-simplify]: Simplify (+ 0 0) into 0 2.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.475 * [taylor]: Taking taylor expansion of 1 in im 2.475 * [backup-simplify]: Simplify 1 into 1 2.475 * [taylor]: Taking taylor expansion of 0 in im 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 1 into 1 2.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.476 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.477 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.477 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.477 * [taylor]: Taking taylor expansion of 1/2 in im 2.477 * [backup-simplify]: Simplify 1/2 into 1/2 2.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.477 * [taylor]: Taking taylor expansion of im in im 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.477 * [backup-simplify]: Simplify (* 1 1) into 1 2.477 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.480 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.481 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.481 * [taylor]: Taking taylor expansion of 0 in im 2.481 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.483 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.483 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.483 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.483 * [taylor]: Taking taylor expansion of re in im 2.483 * [backup-simplify]: Simplify re into re 2.483 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.483 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.483 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.483 * [taylor]: Taking taylor expansion of im in im 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.483 * [backup-simplify]: Simplify (* 1 1) into 1 2.483 * [backup-simplify]: Simplify (/ 1 1) into 1 2.484 * [backup-simplify]: Simplify (+ 0 1) into 1 2.484 * [backup-simplify]: Simplify (sqrt 1) into 1 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (+ 0 0) into 0 2.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.486 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.486 * [taylor]: Taking taylor expansion of re in re 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 1 into 1 2.486 * [backup-simplify]: Simplify (* 1 1) into 1 2.486 * [backup-simplify]: Simplify (/ 1 1) into 1 2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.486 * [taylor]: Taking taylor expansion of im in re 2.486 * [backup-simplify]: Simplify im into im 2.487 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.487 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.487 * [backup-simplify]: Simplify (+ 1 0) into 1 2.487 * [backup-simplify]: Simplify (sqrt 1) into 1 2.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (+ 0 0) into 0 2.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.489 * [taylor]: Taking taylor expansion of re in re 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.489 * [backup-simplify]: Simplify (* 1 1) into 1 2.489 * [backup-simplify]: Simplify (/ 1 1) into 1 2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.489 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.490 * [taylor]: Taking taylor expansion of im in re 2.490 * [backup-simplify]: Simplify im into im 2.490 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.490 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.490 * [backup-simplify]: Simplify (+ 1 0) into 1 2.490 * [backup-simplify]: Simplify (sqrt 1) into 1 2.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.492 * [backup-simplify]: Simplify (+ 0 0) into 0 2.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.492 * [taylor]: Taking taylor expansion of 1 in im 2.492 * [backup-simplify]: Simplify 1 into 1 2.492 * [taylor]: Taking taylor expansion of 0 in im 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 1 into 1 2.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.494 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.494 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.494 * [taylor]: Taking taylor expansion of 1/2 in im 2.494 * [backup-simplify]: Simplify 1/2 into 1/2 2.494 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.494 * [taylor]: Taking taylor expansion of im in im 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify (* 1 1) into 1 2.495 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.497 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.498 * [taylor]: Taking taylor expansion of 0 in im 2.498 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.499 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.500 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.500 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 2.500 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 2.500 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.500 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.500 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.500 * [taylor]: Taking taylor expansion of im in im 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.500 * [taylor]: Taking taylor expansion of re in im 2.500 * [backup-simplify]: Simplify re into re 2.500 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.500 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.500 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.500 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.501 * [backup-simplify]: Simplify (+ 0 0) into 0 2.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.501 * [taylor]: Taking taylor expansion of re in im 2.501 * [backup-simplify]: Simplify re into re 2.501 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.501 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.501 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.501 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.501 * [taylor]: Taking taylor expansion of im in re 2.501 * [backup-simplify]: Simplify im into im 2.501 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.501 * [taylor]: Taking taylor expansion of re in re 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.501 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.501 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.501 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.501 * [backup-simplify]: Simplify (+ 0 0) into 0 2.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.502 * [taylor]: Taking taylor expansion of re in re 2.502 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify 1 into 1 2.502 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.502 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.502 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.502 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.502 * [taylor]: Taking taylor expansion of im in re 2.502 * [backup-simplify]: Simplify im into im 2.502 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.502 * [taylor]: Taking taylor expansion of re in re 2.502 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify 1 into 1 2.502 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.502 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.502 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.502 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.502 * [backup-simplify]: Simplify (+ 0 0) into 0 2.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.502 * [taylor]: Taking taylor expansion of re in re 2.502 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify 1 into 1 2.503 * [backup-simplify]: Simplify (- 0) into 0 2.503 * [backup-simplify]: Simplify (+ im 0) into 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 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify (- 1) into -1 2.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.503 * [taylor]: Taking taylor expansion of -1 in im 2.504 * [backup-simplify]: Simplify -1 into -1 2.504 * [backup-simplify]: Simplify -1 into -1 2.504 * [backup-simplify]: Simplify 1 into 1 2.504 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.504 * [backup-simplify]: Simplify (* 1 1) into 1 2.504 * [backup-simplify]: Simplify (+ 0 1) into 1 2.505 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.505 * [backup-simplify]: Simplify (- 0) into 0 2.505 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.505 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.505 * [taylor]: Taking taylor expansion of 1/2 in im 2.505 * [backup-simplify]: Simplify 1/2 into 1/2 2.505 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.505 * [taylor]: Taking taylor expansion of im in im 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 1 into 1 2.506 * [backup-simplify]: Simplify (/ 1 1) into 1 2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.508 * [backup-simplify]: Simplify (+ 0 0) into 0 2.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.508 * [backup-simplify]: Simplify (- 0) into 0 2.509 * [backup-simplify]: Simplify (+ 0 0) into 0 2.509 * [taylor]: Taking taylor expansion of 0 in im 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.511 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 2.511 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 2.511 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.511 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.511 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.511 * [taylor]: Taking taylor expansion of re in im 2.511 * [backup-simplify]: Simplify re into re 2.511 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.511 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.511 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.511 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.511 * [taylor]: Taking taylor expansion of im in im 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (* 1 1) into 1 2.511 * [backup-simplify]: Simplify (/ 1 1) into 1 2.512 * [backup-simplify]: Simplify (+ 0 1) into 1 2.512 * [backup-simplify]: Simplify (sqrt 1) into 1 2.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.513 * [backup-simplify]: Simplify (+ 0 0) into 0 2.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.514 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.514 * [taylor]: Taking taylor expansion of re in im 2.514 * [backup-simplify]: Simplify re into re 2.514 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.514 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.514 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.514 * [taylor]: Taking taylor expansion of re in re 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (* 1 1) into 1 2.514 * [backup-simplify]: Simplify (/ 1 1) into 1 2.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.514 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.514 * [taylor]: Taking taylor expansion of im in re 2.514 * [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)) 2.515 * [backup-simplify]: Simplify (+ 1 0) into 1 2.515 * [backup-simplify]: Simplify (sqrt 1) into 1 2.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.519 * [backup-simplify]: Simplify (+ 0 0) into 0 2.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.520 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.520 * [taylor]: Taking taylor expansion of re in re 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (/ 1 1) into 1 2.520 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.520 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.520 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.520 * [taylor]: Taking taylor expansion of re in re 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (* 1 1) into 1 2.520 * [backup-simplify]: Simplify (/ 1 1) into 1 2.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.521 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.521 * [taylor]: Taking taylor expansion of im in re 2.521 * [backup-simplify]: Simplify im into im 2.521 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.521 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.521 * [backup-simplify]: Simplify (+ 1 0) into 1 2.521 * [backup-simplify]: Simplify (sqrt 1) into 1 2.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.522 * [backup-simplify]: Simplify (+ 0 0) into 0 2.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.523 * [taylor]: Taking taylor expansion of re in re 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) into -1 2.524 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.524 * [taylor]: Taking taylor expansion of 0 in im 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (- 0) into 0 2.525 * [backup-simplify]: Simplify (+ 0 0) into 0 2.525 * [taylor]: Taking taylor expansion of 0 in im 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.527 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.528 * [backup-simplify]: Simplify (- 0) into 0 2.528 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.528 * [taylor]: Taking taylor expansion of 1/2 in im 2.528 * [backup-simplify]: Simplify 1/2 into 1/2 2.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.528 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.528 * [taylor]: Taking taylor expansion of im in im 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (* 1 1) into 1 2.528 * [backup-simplify]: Simplify (/ 1 1) into 1 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.531 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.533 * [backup-simplify]: Simplify (- 0) into 0 2.533 * [backup-simplify]: Simplify (+ 0 0) into 0 2.533 * [taylor]: Taking taylor expansion of 0 in im 2.533 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 2.536 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 2.536 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.536 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.536 * [taylor]: Taking taylor expansion of re in im 2.536 * [backup-simplify]: Simplify re into re 2.536 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.537 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.537 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.537 * [taylor]: Taking taylor expansion of re in im 2.537 * [backup-simplify]: Simplify re into re 2.537 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.537 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.537 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.537 * [taylor]: Taking taylor expansion of im in im 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [backup-simplify]: Simplify (* 1 1) into 1 2.538 * [backup-simplify]: Simplify (/ 1 1) into 1 2.538 * [backup-simplify]: Simplify (+ 0 1) into 1 2.539 * [backup-simplify]: Simplify (sqrt 1) into 1 2.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (+ 0 0) into 0 2.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.541 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.541 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.542 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.542 * [taylor]: Taking taylor expansion of re in re 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 1 into 1 2.543 * [backup-simplify]: Simplify (* 1 1) into 1 2.543 * [backup-simplify]: Simplify (/ 1 1) into 1 2.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.543 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.543 * [taylor]: Taking taylor expansion of im in re 2.543 * [backup-simplify]: Simplify im into im 2.543 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.543 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.544 * [backup-simplify]: Simplify (+ 1 0) into 1 2.544 * [backup-simplify]: Simplify (sqrt 1) into 1 2.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.547 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.547 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.547 * [taylor]: Taking taylor expansion of re in re 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 1 into 1 2.547 * [backup-simplify]: Simplify (/ 1 1) into 1 2.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.547 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.547 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.547 * [taylor]: Taking taylor expansion of re in re 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 1 into 1 2.548 * [backup-simplify]: Simplify (* 1 1) into 1 2.548 * [backup-simplify]: Simplify (/ 1 1) into 1 2.548 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.548 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.548 * [taylor]: Taking taylor expansion of im in re 2.548 * [backup-simplify]: Simplify im into im 2.548 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.549 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.549 * [backup-simplify]: Simplify (+ 1 0) into 1 2.549 * [backup-simplify]: Simplify (sqrt 1) into 1 2.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.551 * [backup-simplify]: Simplify (+ 0 0) into 0 2.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.552 * [backup-simplify]: Simplify (+ 1 1) into 2 2.552 * [taylor]: Taking taylor expansion of 2 in im 2.552 * [backup-simplify]: Simplify 2 into 2 2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.553 * [backup-simplify]: Simplify (+ 0 0) into 0 2.554 * [taylor]: Taking taylor expansion of 0 in im 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify 2 into 2 2.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.556 * [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)) 2.558 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.558 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.558 * [taylor]: Taking taylor expansion of 1/2 in im 2.558 * [backup-simplify]: Simplify 1/2 into 1/2 2.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.558 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.558 * [taylor]: Taking taylor expansion of im in im 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 1 into 1 2.559 * [backup-simplify]: Simplify (* 1 1) into 1 2.559 * [backup-simplify]: Simplify (/ 1 1) into 1 2.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.565 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.565 * [backup-simplify]: Simplify (+ 0 0) into 0 2.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.566 * [backup-simplify]: Simplify (+ 0 0) into 0 2.566 * [taylor]: Taking taylor expansion of 0 in im 2.566 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.569 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 2.570 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 2.570 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.570 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.570 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.570 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.570 * [taylor]: Taking taylor expansion of im in im 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.570 * [taylor]: Taking taylor expansion of re in im 2.570 * [backup-simplify]: Simplify re into re 2.570 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.570 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.570 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.570 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.571 * [backup-simplify]: Simplify (+ 0 0) into 0 2.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.571 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.571 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.571 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.571 * [taylor]: Taking taylor expansion of im in re 2.571 * [backup-simplify]: Simplify im into im 2.571 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.571 * [taylor]: Taking taylor expansion of re in re 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 1 into 1 2.571 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.571 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.571 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.571 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.572 * [backup-simplify]: Simplify (+ 0 0) into 0 2.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.572 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.572 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.572 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.572 * [taylor]: Taking taylor expansion of im in re 2.572 * [backup-simplify]: Simplify im into im 2.572 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.572 * [taylor]: Taking taylor expansion of re in re 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify 1 into 1 2.572 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.572 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.572 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.572 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.573 * [backup-simplify]: Simplify (+ 0 0) into 0 2.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.573 * [taylor]: Taking taylor expansion of im in im 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 1 into 1 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [taylor]: Taking taylor expansion of 0 in im 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 1 into 1 2.574 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.574 * [backup-simplify]: Simplify (* 1 1) into 1 2.575 * [backup-simplify]: Simplify (+ 0 1) into 1 2.575 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.575 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.575 * [taylor]: Taking taylor expansion of 1/2 in im 2.576 * [backup-simplify]: Simplify 1/2 into 1/2 2.576 * [taylor]: Taking taylor expansion of im in im 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 1 into 1 2.576 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.579 * [backup-simplify]: Simplify (+ 0 0) into 0 2.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.579 * [taylor]: Taking taylor expansion of 0 in im 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 (* 1 (* im 1)) into im 2.581 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.581 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.581 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.581 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.581 * [taylor]: Taking taylor expansion of re in im 2.581 * [backup-simplify]: Simplify re into re 2.581 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.581 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.581 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.581 * [taylor]: Taking taylor expansion of im in im 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [backup-simplify]: Simplify (* 1 1) into 1 2.582 * [backup-simplify]: Simplify (/ 1 1) into 1 2.582 * [backup-simplify]: Simplify (+ 0 1) into 1 2.583 * [backup-simplify]: Simplify (sqrt 1) into 1 2.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.584 * [backup-simplify]: Simplify (+ 0 0) into 0 2.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.585 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 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 (* 1 1) into 1 2.586 * [backup-simplify]: Simplify (/ 1 1) into 1 2.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.586 * [taylor]: Taking taylor expansion of im in re 2.586 * [backup-simplify]: Simplify im into im 2.586 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.586 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.586 * [backup-simplify]: Simplify (+ 1 0) into 1 2.586 * [backup-simplify]: Simplify (sqrt 1) into 1 2.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.587 * [backup-simplify]: Simplify (+ 0 0) into 0 2.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.588 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.588 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.588 * [taylor]: Taking taylor expansion of re in re 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (* 1 1) into 1 2.588 * [backup-simplify]: Simplify (/ 1 1) into 1 2.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.588 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.588 * [taylor]: Taking taylor expansion of im in re 2.588 * [backup-simplify]: Simplify im into im 2.589 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.589 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.589 * [backup-simplify]: Simplify (+ 1 0) into 1 2.589 * [backup-simplify]: Simplify (sqrt 1) into 1 2.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (+ 0 0) into 0 2.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.591 * [taylor]: Taking taylor expansion of 1 in im 2.591 * [backup-simplify]: Simplify 1 into 1 2.591 * [taylor]: Taking taylor expansion of 0 in im 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.592 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.593 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.593 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.593 * [taylor]: Taking taylor expansion of 1/2 in im 2.593 * [backup-simplify]: Simplify 1/2 into 1/2 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 2.593 * [backup-simplify]: Simplify (* 1 1) into 1 2.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.596 * [backup-simplify]: Simplify (+ 0 0) into 0 2.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.597 * [taylor]: Taking taylor expansion of 0 in im 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.598 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.598 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.598 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.598 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.598 * [taylor]: Taking taylor expansion of re in im 2.598 * [backup-simplify]: Simplify re into re 2.598 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.598 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.598 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.598 * [taylor]: Taking taylor expansion of im in im 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 1 into 1 2.599 * [backup-simplify]: Simplify (* 1 1) into 1 2.599 * [backup-simplify]: Simplify (/ 1 1) into 1 2.599 * [backup-simplify]: Simplify (+ 0 1) into 1 2.599 * [backup-simplify]: Simplify (sqrt 1) into 1 2.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.601 * [backup-simplify]: Simplify (+ 0 0) into 0 2.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.601 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.601 * [taylor]: Taking taylor expansion of re in re 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (* 1 1) into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.602 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.602 * [taylor]: Taking taylor expansion of im in re 2.602 * [backup-simplify]: Simplify im into im 2.602 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.602 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.602 * [backup-simplify]: Simplify (+ 1 0) into 1 2.602 * [backup-simplify]: Simplify (sqrt 1) into 1 2.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.604 * [backup-simplify]: Simplify (+ 0 0) into 0 2.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.604 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.605 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.605 * [taylor]: Taking taylor expansion of re in re 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [backup-simplify]: Simplify (* 1 1) into 1 2.605 * [backup-simplify]: Simplify (/ 1 1) into 1 2.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.605 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.605 * [taylor]: Taking taylor expansion of im in re 2.605 * [backup-simplify]: Simplify im into im 2.605 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.605 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.606 * [backup-simplify]: Simplify (+ 1 0) into 1 2.606 * [backup-simplify]: Simplify (sqrt 1) into 1 2.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.607 * [backup-simplify]: Simplify (+ 0 0) into 0 2.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.607 * [taylor]: Taking taylor expansion of 1 in im 2.607 * [backup-simplify]: Simplify 1 into 1 2.607 * [taylor]: Taking taylor expansion of 0 in im 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 1 into 1 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.609 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.609 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.609 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.609 * [taylor]: Taking taylor expansion of 1/2 in im 2.609 * [backup-simplify]: Simplify 1/2 into 1/2 2.609 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.609 * [taylor]: Taking taylor expansion of im in im 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (* 1 1) into 1 2.610 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.612 * [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 2.613 * [backup-simplify]: Simplify (+ 0 0) into 0 2.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.613 * [taylor]: Taking taylor expansion of 0 in im 2.613 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.615 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.615 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) 2.615 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0 2.615 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 2.615 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.615 * [taylor]: Taking taylor expansion of 2.0 in im 2.615 * [backup-simplify]: Simplify 2.0 into 2.0 2.615 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.616 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 2.616 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.616 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.616 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.616 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.616 * [taylor]: Taking taylor expansion of im in im 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify 1 into 1 2.616 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.616 * [taylor]: Taking taylor expansion of re in im 2.616 * [backup-simplify]: Simplify re into re 2.616 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.616 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.616 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.616 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.616 * [backup-simplify]: Simplify (+ 0 0) into 0 2.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.617 * [taylor]: Taking taylor expansion of re in im 2.617 * [backup-simplify]: Simplify re into re 2.617 * [backup-simplify]: Simplify (- re) into (- re) 2.617 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.617 * [backup-simplify]: Simplify (- 0) into 0 2.617 * [backup-simplify]: Simplify (+ 0 0) into 0 2.617 * [backup-simplify]: Simplify (* 1 1) into 1 2.618 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.618 * [backup-simplify]: Simplify (+ 1 0) into 1 2.618 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.619 * [backup-simplify]: Simplify (- 0) into 0 2.619 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.619 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 2.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.620 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.620 * [backup-simplify]: Simplify (+ 0 0) into 0 2.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.620 * [backup-simplify]: Simplify (- 0) into 0 2.620 * [backup-simplify]: Simplify (+ 0 0) into 0 2.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 2.621 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 2.621 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.621 * [taylor]: Taking taylor expansion of 2.0 in re 2.621 * [backup-simplify]: Simplify 2.0 into 2.0 2.621 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.621 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 2.621 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.621 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.621 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.621 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.621 * [taylor]: Taking taylor expansion of im in re 2.621 * [backup-simplify]: Simplify im into im 2.621 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.621 * [taylor]: Taking taylor expansion of re in re 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.622 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.622 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.622 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.622 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.622 * [backup-simplify]: Simplify (+ 0 0) into 0 2.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 (- 0) into 0 2.622 * [backup-simplify]: Simplify (+ im 0) into im 2.622 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.623 * [backup-simplify]: Simplify (- 1) into -1 2.623 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.623 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 2.623 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 2.623 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.623 * [taylor]: Taking taylor expansion of 2.0 in re 2.623 * [backup-simplify]: Simplify 2.0 into 2.0 2.623 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.624 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 2.624 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.624 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.624 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.624 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.624 * [taylor]: Taking taylor expansion of im in re 2.624 * [backup-simplify]: Simplify im into im 2.624 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.624 * [taylor]: Taking taylor expansion of re in re 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.624 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.624 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.624 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.624 * [backup-simplify]: Simplify (+ 0 0) into 0 2.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.624 * [taylor]: Taking taylor expansion of re in re 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.625 * [backup-simplify]: Simplify (- 0) into 0 2.625 * [backup-simplify]: Simplify (+ im 0) into im 2.625 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.625 * [backup-simplify]: Simplify (- 1) into -1 2.625 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.625 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 2.626 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 2.626 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.626 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.626 * [taylor]: Taking taylor expansion of 2.0 in im 2.626 * [backup-simplify]: Simplify 2.0 into 2.0 2.626 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.626 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.627 * [taylor]: Taking taylor expansion of im in im 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify (sqrt 0) into 0 2.628 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.629 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.635 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.635 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 2.635 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 2.635 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.635 * [taylor]: Taking taylor expansion of 1/2 in im 2.635 * [backup-simplify]: Simplify 1/2 into 1/2 2.635 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.635 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.635 * [taylor]: Taking taylor expansion of 2.0 in im 2.635 * [backup-simplify]: Simplify 2.0 into 2.0 2.636 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.636 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.636 * [taylor]: Taking taylor expansion of im in im 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify 1 into 1 2.637 * [backup-simplify]: Simplify (/ 1 1) into 1 2.637 * [backup-simplify]: Simplify (sqrt 0) into 0 2.638 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.640 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.642 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.644 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.644 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.647 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.648 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.649 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.651 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.652 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.654 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.655 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.658 * [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))))))) 2.658 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (exp (log (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)))) 2.658 * [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 2.658 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 2.658 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.658 * [taylor]: Taking taylor expansion of 2.0 in im 2.658 * [backup-simplify]: Simplify 2.0 into 2.0 2.658 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.659 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 2.659 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.659 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.659 * [taylor]: Taking taylor expansion of re in im 2.659 * [backup-simplify]: Simplify re into re 2.659 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.659 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.659 * [taylor]: Taking taylor expansion of im in im 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [backup-simplify]: Simplify (* 1 1) into 1 2.660 * [backup-simplify]: Simplify (/ 1 1) into 1 2.660 * [backup-simplify]: Simplify (+ 0 1) into 1 2.660 * [backup-simplify]: Simplify (sqrt 1) into 1 2.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.662 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.662 * [taylor]: Taking taylor expansion of re in im 2.662 * [backup-simplify]: Simplify re into re 2.662 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.662 * [backup-simplify]: Simplify (+ 1 0) into 1 2.662 * [backup-simplify]: Simplify (sqrt 0) into 0 2.663 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.663 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 2.663 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.663 * [taylor]: Taking taylor expansion of 2.0 in re 2.663 * [backup-simplify]: Simplify 2.0 into 2.0 2.664 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.664 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 2.664 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.664 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.664 * [taylor]: Taking taylor expansion of re in re 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [backup-simplify]: Simplify (* 1 1) into 1 2.665 * [backup-simplify]: Simplify (/ 1 1) into 1 2.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.665 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.665 * [taylor]: Taking taylor expansion of im in re 2.665 * [backup-simplify]: Simplify im into im 2.665 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.665 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.665 * [backup-simplify]: Simplify (+ 1 0) into 1 2.665 * [backup-simplify]: Simplify (sqrt 1) into 1 2.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.666 * [backup-simplify]: Simplify (+ 0 0) into 0 2.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.667 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.667 * [taylor]: Taking taylor expansion of re in re 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify (/ 1 1) into 1 2.667 * [backup-simplify]: Simplify (- 1) into -1 2.668 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.668 * [backup-simplify]: Simplify (- 0) into 0 2.668 * [backup-simplify]: Simplify (+ 0 0) into 0 2.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.670 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.670 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (- 0) into 0 2.671 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.672 * [backup-simplify]: Simplify (sqrt 0) into 0 2.672 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 2.672 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 2.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.672 * [taylor]: Taking taylor expansion of 2.0 in re 2.672 * [backup-simplify]: Simplify 2.0 into 2.0 2.672 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.673 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 2.673 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.673 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.673 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.673 * [taylor]: Taking taylor expansion of re in re 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [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 2.674 * [backup-simplify]: Simplify (sqrt 1) into 1 2.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.675 * [backup-simplify]: Simplify (+ 0 0) into 0 2.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.676 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.676 * [taylor]: Taking taylor expansion of re in re 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify 1 into 1 2.676 * [backup-simplify]: Simplify (/ 1 1) into 1 2.676 * [backup-simplify]: Simplify (- 1) into -1 2.676 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (- 0) into 0 2.677 * [backup-simplify]: Simplify (+ 0 0) into 0 2.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.679 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.680 * [backup-simplify]: Simplify (- 0) into 0 2.680 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.680 * [backup-simplify]: Simplify (sqrt 0) into 0 2.681 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 2.681 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.681 * [taylor]: Taking taylor expansion of 0 in im 2.681 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 2.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.682 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.682 * [taylor]: Taking taylor expansion of +nan.0 in im 2.682 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.682 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.682 * [taylor]: Taking taylor expansion of 2.0 in im 2.682 * [backup-simplify]: Simplify 2.0 into 2.0 2.682 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.683 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.683 * [taylor]: Taking taylor expansion of im in im 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 1 into 1 2.683 * [backup-simplify]: Simplify (* 1 1) into 1 2.683 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.686 * [backup-simplify]: Simplify (- 0) into 0 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.689 * [backup-simplify]: Simplify (+ 0 0) into 0 2.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (- 0) into 0 2.691 * [backup-simplify]: Simplify (+ 0 0) into 0 2.692 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 2.693 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.694 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 2.694 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.694 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.694 * [taylor]: Taking taylor expansion of +nan.0 in im 2.695 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.695 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.695 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.695 * [taylor]: Taking taylor expansion of 2.0 in im 2.695 * [backup-simplify]: Simplify 2.0 into 2.0 2.695 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.696 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.696 * [taylor]: Taking taylor expansion of im in im 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify (* 1 1) into 1 2.697 * [backup-simplify]: Simplify (* 1 1) into 1 2.698 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 2.712 * [backup-simplify]: Simplify (- 0) into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.717 * [backup-simplify]: Simplify (- 0) into 0 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.720 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.720 * [backup-simplify]: Simplify (+ 0 0) into 0 2.722 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (- 0) into 0 2.723 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 2.724 * [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))))) 2.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.726 * [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)))))) 2.726 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.726 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.726 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.727 * [taylor]: Taking taylor expansion of +nan.0 in im 2.727 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.727 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.727 * [taylor]: Taking taylor expansion of 2.0 in im 2.727 * [backup-simplify]: Simplify 2.0 into 2.0 2.727 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.728 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.728 * [taylor]: Taking taylor expansion of im in im 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.728 * [backup-simplify]: Simplify (* 1 1) into 1 2.729 * [backup-simplify]: Simplify (* 1 1) into 1 2.729 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.730 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.730 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.730 * [taylor]: Taking taylor expansion of +nan.0 in im 2.730 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.730 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.730 * [taylor]: Taking taylor expansion of 2.0 in im 2.730 * [backup-simplify]: Simplify 2.0 into 2.0 2.730 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.731 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.731 * [taylor]: Taking taylor expansion of im in im 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.731 * [backup-simplify]: Simplify (* 1 1) into 1 2.732 * [backup-simplify]: Simplify (* 1 1) into 1 2.732 * [backup-simplify]: Simplify (* 1 1) into 1 2.733 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.734 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 2.753 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.756 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 2.784 * [backup-simplify]: Simplify (- 0) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [backup-simplify]: Simplify (- 0) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (exp (log (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))))))) 2.785 * [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 2.785 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 2.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.785 * [taylor]: Taking taylor expansion of 2.0 in im 2.785 * [backup-simplify]: Simplify 2.0 into 2.0 2.786 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 2.786 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.786 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.786 * [taylor]: Taking taylor expansion of re in im 2.786 * [backup-simplify]: Simplify re into re 2.787 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.787 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.787 * [taylor]: Taking taylor expansion of re in im 2.787 * [backup-simplify]: Simplify re into re 2.787 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.787 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.787 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.787 * [taylor]: Taking taylor expansion of im in im 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [backup-simplify]: Simplify (* 1 1) into 1 2.788 * [backup-simplify]: Simplify (/ 1 1) into 1 2.788 * [backup-simplify]: Simplify (+ 0 1) into 1 2.789 * [backup-simplify]: Simplify (sqrt 1) into 1 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (+ 0 0) into 0 2.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.792 * [backup-simplify]: Simplify (+ 0 1) into 1 2.792 * [backup-simplify]: Simplify (sqrt 0) into 0 2.794 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.794 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 2.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.794 * [taylor]: Taking taylor expansion of 2.0 in re 2.794 * [backup-simplify]: Simplify 2.0 into 2.0 2.795 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 2.796 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.796 * [taylor]: Taking taylor expansion of re in re 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify (/ 1 1) into 1 2.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.796 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.796 * [taylor]: Taking taylor expansion of re in re 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (* 1 1) into 1 2.797 * [backup-simplify]: Simplify (/ 1 1) into 1 2.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.797 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.797 * [taylor]: Taking taylor expansion of im in re 2.797 * [backup-simplify]: Simplify im into im 2.798 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.798 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.798 * [backup-simplify]: Simplify (+ 1 0) into 1 2.798 * [backup-simplify]: Simplify (sqrt 1) into 1 2.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify (+ 0 0) into 0 2.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.801 * [backup-simplify]: Simplify (+ 1 1) into 2 2.802 * [backup-simplify]: Simplify (sqrt 0) into 0 2.803 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 2.803 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 2.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.803 * [taylor]: Taking taylor expansion of 2.0 in re 2.803 * [backup-simplify]: Simplify 2.0 into 2.0 2.804 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.805 * [taylor]: Taking taylor expansion of re in re 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (/ 1 1) into 1 2.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.805 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.805 * [taylor]: Taking taylor expansion of re in re 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (* 1 1) into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.806 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.806 * [taylor]: Taking taylor expansion of im in re 2.806 * [backup-simplify]: Simplify im into im 2.806 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.806 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.807 * [backup-simplify]: Simplify (+ 1 0) into 1 2.807 * [backup-simplify]: Simplify (sqrt 1) into 1 2.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (+ 0 0) into 0 2.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.810 * [backup-simplify]: Simplify (+ 1 1) into 2 2.810 * [backup-simplify]: Simplify (sqrt 0) into 0 2.812 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 2.812 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.812 * [taylor]: Taking taylor expansion of 0 in im 2.812 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.815 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.815 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.815 * [taylor]: Taking taylor expansion of +nan.0 in im 2.815 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.815 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.815 * [taylor]: Taking taylor expansion of 2.0 in im 2.815 * [backup-simplify]: Simplify 2.0 into 2.0 2.815 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.820 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.824 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.824 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.824 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.824 * [taylor]: Taking taylor expansion of +nan.0 in im 2.824 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.824 * [taylor]: Taking taylor expansion of 2.0 in im 2.824 * [backup-simplify]: Simplify 2.0 into 2.0 2.825 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.826 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.828 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.829 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.829 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.834 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.834 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.836 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 2.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.839 * [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)))))) 2.839 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 2.839 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 2.839 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.839 * [taylor]: Taking taylor expansion of +nan.0 in im 2.839 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.839 * [taylor]: Taking taylor expansion of 2.0 in im 2.839 * [backup-simplify]: Simplify 2.0 into 2.0 2.840 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.840 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.840 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.840 * [taylor]: Taking taylor expansion of +nan.0 in im 2.840 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.840 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.841 * [taylor]: Taking taylor expansion of 2.0 in im 2.841 * [backup-simplify]: Simplify 2.0 into 2.0 2.841 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.842 * [taylor]: Taking taylor expansion of im in im 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (* 1 1) into 1 2.843 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.846 * [backup-simplify]: Simplify (- 0) into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [backup-simplify]: Simplify (- 0) into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.849 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.850 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.850 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.851 * [backup-simplify]: Simplify (- 0) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.853 * [backup-simplify]: Simplify (+ 0 0) into 0 2.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.854 * [backup-simplify]: Simplify (+ 0 0) into 0 2.854 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 2.855 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.856 * [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)))))) 2.856 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 2.856 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 2.856 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.856 * [taylor]: Taking taylor expansion of +nan.0 in im 2.856 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.856 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.856 * [taylor]: Taking taylor expansion of 2.0 in im 2.856 * [backup-simplify]: Simplify 2.0 into 2.0 2.857 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.857 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.857 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.857 * [taylor]: Taking taylor expansion of +nan.0 in im 2.857 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.857 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.857 * [taylor]: Taking taylor expansion of 2.0 in im 2.857 * [backup-simplify]: Simplify 2.0 into 2.0 2.857 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.858 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.858 * [taylor]: Taking taylor expansion of im in im 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (* 1 1) into 1 2.859 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.860 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.860 * [backup-simplify]: Simplify (- 0) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.861 * [backup-simplify]: Simplify (- 0) into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.864 * [backup-simplify]: Simplify (- 0) into 0 2.865 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.866 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.867 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.870 * [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)))))))) 2.870 * * * [progress]: simplifying candidates 2.870 * * * * [progress]: [ 1 / 82 ] simplifiying candidate # 2.870 * * * * [progress]: [ 2 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 3 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 4 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 5 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 6 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 7 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 8 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 9 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 10 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 11 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 12 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 13 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 14 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 15 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 16 / 82 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 2.871 * * * * [progress]: [ 17 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 18 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 19 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 20 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 21 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 22 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 23 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 24 / 82 ] simplifiying candidate # 2.871 * * * * [progress]: [ 25 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 26 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 27 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 28 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 29 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 30 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 31 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 32 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 33 / 82 ] simplifiying candidate #real (real->posit16 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))))))> 2.872 * * * * [progress]: [ 34 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 35 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 36 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 37 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 38 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 39 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 40 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 41 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 42 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 43 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 44 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 45 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 46 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 47 / 82 ] simplifiying candidate # 2.872 * * * * [progress]: [ 48 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 49 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 50 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 51 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 52 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 53 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 54 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 55 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 56 / 82 ] simplifiying candidate #real (real->posit16 (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> 2.873 * * * * [progress]: [ 57 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 58 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 59 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 60 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 61 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 62 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 63 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 64 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 65 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 66 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 67 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 68 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 69 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 70 / 82 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))))))> 2.873 * * * * [progress]: [ 71 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 72 / 82 ] simplifiying candidate # 2.873 * * * * [progress]: [ 73 / 82 ] simplifiying candidate # 2.874 * * * * [progress]: [ 74 / 82 ] simplifiying candidate # 2.874 * * * * [progress]: [ 75 / 82 ] simplifiying candidate # 2.874 * * * * [progress]: [ 76 / 82 ] simplifiying candidate # 2.874 * * * * [progress]: [ 77 / 82 ] simplifiying candidate # 2.874 * * * * [progress]: [ 78 / 82 ] simplifiying candidate # 2.874 * * * * [progress]: [ 79 / 82 ] simplifiying candidate # 2.874 * * * * [progress]: [ 80 / 82 ] simplifiying candidate # 2.874 * * * * [progress]: [ 81 / 82 ] simplifiying candidate # 2.874 * * * * [progress]: [ 82 / 82 ] simplifiying candidate # 2.875 * [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 (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- re) (real->posit16 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (real->posit16 (exp (log (sqrt (+ (* re re) (* im im)))))) (log (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (cbrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (* (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (* 2.0 (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) (sqrt (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)))) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (real->posit16 (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 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)))))))) 2.876 * * [simplify]: iteration 1: (151 enodes) 2.911 * * [simplify]: iteration 2: (285 enodes) 3.019 * * [simplify]: iteration 3: (738 enodes) 3.433 * * [simplify]: Extracting #0: cost 54 inf + 0 3.434 * * [simplify]: Extracting #1: cost 166 inf + 6 3.435 * * [simplify]: Extracting #2: cost 404 inf + 725 3.440 * * [simplify]: Extracting #3: cost 465 inf + 18151 3.463 * * [simplify]: Extracting #4: cost 183 inf + 65500 3.485 * * [simplify]: Extracting #5: cost 45 inf + 103115 3.509 * * [simplify]: Extracting #6: cost 6 inf + 116517 3.532 * * [simplify]: Extracting #7: cost 0 inf + 118971 3.574 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) (* im im)) (* im im)))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (exp (- (sqrt (+ (* im im) (* re re))) re)) (log (- (sqrt (+ (* im im) (* re re))) re)) (exp (- (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* (* re re) re)) (+ (+ (* (sqrt (+ (* im im) (* re re))) re) (+ (* im im) (* re re))) (* re re)) (- re) (+ 0 (* im im)) (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (+ (sqrt (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)) (sqrt E) E (sqrt E) (exp (* (cbrt (log (sqrt (+ (* im im) (* re re))))) (cbrt (log (sqrt (+ (* im im) (* re re))))))) (exp (sqrt (log (sqrt (+ (* im im) (* re re)))))) E (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) (* im im)) (* im im)))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* 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 (+ (* im im) (* re re))) re) 2.0) (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* (* re re) re)) 2.0)) (sqrt (+ (+ (* (sqrt (+ (* im im) (* re re))) re) (+ (* im im) (* re re))) (* re re))) (sqrt (* (+ 0 (* im im)) 2.0)) (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 (* re -2) im re (- re) (- (+ (* (* (sqrt 2.0) im) +nan.0) (* (* (* (sqrt 2.0) im) +nan.0) (- re im)))) 0 (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))))) 3.589 * * * [progress]: adding candidates to table 4.589 * * [progress]: iteration 3 / 4 4.589 * * * [progress]: picking best candidate 4.627 * * * * [pick]: Picked # 4.627 * * * [progress]: localizing error 4.681 * * * [progress]: generating rewritten candidates 4.681 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 4.698 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1) 4.705 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1) 4.711 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 4.892 * * * [progress]: generating series expansions 4.892 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 4.892 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 4.892 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 4.892 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.892 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.892 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.892 * [taylor]: Taking taylor expansion of im in im 4.892 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.892 * [taylor]: Taking taylor expansion of re in im 4.892 * [backup-simplify]: Simplify re into re 4.892 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.893 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.893 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.893 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.893 * [backup-simplify]: Simplify (+ 0 0) into 0 4.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.894 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.894 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.894 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.894 * [taylor]: Taking taylor expansion of im in re 4.894 * [backup-simplify]: Simplify im into im 4.894 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.894 * [taylor]: Taking taylor expansion of re in re 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.894 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.894 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.894 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.895 * [backup-simplify]: Simplify (+ 0 0) into 0 4.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.895 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.895 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.895 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.895 * [taylor]: Taking taylor expansion of im in re 4.895 * [backup-simplify]: Simplify im into im 4.895 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.895 * [taylor]: Taking taylor expansion of re in re 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.895 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.895 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.895 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.896 * [backup-simplify]: Simplify (+ 0 0) into 0 4.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.896 * [taylor]: Taking taylor expansion of im in im 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 1 into 1 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [taylor]: Taking taylor expansion of 0 in im 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.897 * [backup-simplify]: Simplify (* 1 1) into 1 4.898 * [backup-simplify]: Simplify (+ 0 1) into 1 4.898 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.898 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.898 * [taylor]: Taking taylor expansion of 1/2 in im 4.898 * [backup-simplify]: Simplify 1/2 into 1/2 4.898 * [taylor]: Taking taylor expansion of im in im 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.899 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.902 * [backup-simplify]: Simplify (+ 0 0) into 0 4.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.902 * [taylor]: Taking taylor expansion of 0 in im 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.904 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.904 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.904 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.904 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.904 * [taylor]: Taking taylor expansion of re in im 4.904 * [backup-simplify]: Simplify re into re 4.904 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.904 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.904 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.904 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.904 * [taylor]: Taking taylor expansion of im in im 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [backup-simplify]: Simplify (* 1 1) into 1 4.905 * [backup-simplify]: Simplify (/ 1 1) into 1 4.905 * [backup-simplify]: Simplify (+ 0 1) into 1 4.906 * [backup-simplify]: Simplify (sqrt 1) into 1 4.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.908 * [backup-simplify]: Simplify (+ 0 0) into 0 4.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.908 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.909 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.909 * [taylor]: Taking taylor expansion of re in re 4.909 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify 1 into 1 4.909 * [backup-simplify]: Simplify (* 1 1) into 1 4.909 * [backup-simplify]: Simplify (/ 1 1) into 1 4.909 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.909 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.909 * [taylor]: Taking taylor expansion of im in re 4.909 * [backup-simplify]: Simplify im into im 4.909 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.909 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.910 * [backup-simplify]: Simplify (+ 1 0) into 1 4.910 * [backup-simplify]: Simplify (sqrt 1) into 1 4.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.911 * [backup-simplify]: Simplify (+ 0 0) into 0 4.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.912 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.912 * [taylor]: Taking taylor expansion of re in re 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [backup-simplify]: Simplify (* 1 1) into 1 4.912 * [backup-simplify]: Simplify (/ 1 1) into 1 4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.912 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.912 * [taylor]: Taking taylor expansion of im in re 4.912 * [backup-simplify]: Simplify im into im 4.912 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.912 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.913 * [backup-simplify]: Simplify (+ 1 0) into 1 4.913 * [backup-simplify]: Simplify (sqrt 1) into 1 4.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.914 * [backup-simplify]: Simplify (+ 0 0) into 0 4.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.914 * [taylor]: Taking taylor expansion of 1 in im 4.914 * [backup-simplify]: Simplify 1 into 1 4.914 * [taylor]: Taking taylor expansion of 0 in im 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 1 into 1 4.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.916 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.916 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.916 * [taylor]: Taking taylor expansion of 1/2 in im 4.916 * [backup-simplify]: Simplify 1/2 into 1/2 4.916 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.916 * [taylor]: Taking taylor expansion of im in im 4.916 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 1 into 1 4.917 * [backup-simplify]: Simplify (* 1 1) into 1 4.917 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.919 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.920 * [backup-simplify]: Simplify (+ 0 0) into 0 4.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.920 * [taylor]: Taking taylor expansion of 0 in im 4.920 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.921 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.921 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.921 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.921 * [taylor]: Taking taylor expansion of re in im 4.921 * [backup-simplify]: Simplify re into re 4.922 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.922 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.922 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.922 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.922 * [taylor]: Taking taylor expansion of im in im 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (* 1 1) into 1 4.922 * [backup-simplify]: Simplify (/ 1 1) into 1 4.922 * [backup-simplify]: Simplify (+ 0 1) into 1 4.923 * [backup-simplify]: Simplify (sqrt 1) into 1 4.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.924 * [backup-simplify]: Simplify (+ 0 0) into 0 4.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.924 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.924 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.924 * [taylor]: Taking taylor expansion of re in re 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [backup-simplify]: Simplify (* 1 1) into 1 4.925 * [backup-simplify]: Simplify (/ 1 1) into 1 4.925 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.925 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.925 * [taylor]: Taking taylor expansion of im in re 4.925 * [backup-simplify]: Simplify im into im 4.925 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.925 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.925 * [backup-simplify]: Simplify (+ 1 0) into 1 4.925 * [backup-simplify]: Simplify (sqrt 1) into 1 4.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (+ 0 0) into 0 4.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.927 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.927 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.927 * [taylor]: Taking taylor expansion of re in re 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 1 into 1 4.927 * [backup-simplify]: Simplify (* 1 1) into 1 4.927 * [backup-simplify]: Simplify (/ 1 1) into 1 4.927 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.927 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.927 * [taylor]: Taking taylor expansion of im in re 4.927 * [backup-simplify]: Simplify im into im 4.928 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.928 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.928 * [backup-simplify]: Simplify (+ 1 0) into 1 4.928 * [backup-simplify]: Simplify (sqrt 1) into 1 4.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.929 * [backup-simplify]: Simplify (+ 0 0) into 0 4.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.930 * [taylor]: Taking taylor expansion of 1 in im 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [taylor]: Taking taylor expansion of 0 in im 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.931 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.932 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.932 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.932 * [taylor]: Taking taylor expansion of 1/2 in im 4.932 * [backup-simplify]: Simplify 1/2 into 1/2 4.932 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.932 * [taylor]: Taking taylor expansion of im in im 4.932 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify 1 into 1 4.932 * [backup-simplify]: Simplify (* 1 1) into 1 4.932 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.937 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.937 * [backup-simplify]: Simplify (+ 0 0) into 0 4.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.938 * [taylor]: Taking taylor expansion of 0 in im 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.939 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1) 4.939 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 4.939 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 4.939 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.939 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.939 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.939 * [taylor]: Taking taylor expansion of im in im 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 1 into 1 4.939 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.939 * [taylor]: Taking taylor expansion of re in im 4.939 * [backup-simplify]: Simplify re into re 4.939 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.939 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.940 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.940 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.940 * [backup-simplify]: Simplify (+ 0 0) into 0 4.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.940 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.940 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.940 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.940 * [taylor]: Taking taylor expansion of im in re 4.940 * [backup-simplify]: Simplify im into im 4.940 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.940 * [taylor]: Taking taylor expansion of re in re 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 1 into 1 4.940 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.940 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.940 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.940 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.940 * [backup-simplify]: Simplify (+ 0 0) into 0 4.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.941 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.941 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.941 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.941 * [taylor]: Taking taylor expansion of im in re 4.941 * [backup-simplify]: Simplify im into im 4.941 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.941 * [taylor]: Taking taylor expansion of re in re 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.941 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.941 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.941 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.941 * [backup-simplify]: Simplify (+ 0 0) into 0 4.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.941 * [taylor]: Taking taylor expansion of im in im 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [taylor]: Taking taylor expansion of 0 in im 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.942 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.942 * [backup-simplify]: Simplify (* 1 1) into 1 4.942 * [backup-simplify]: Simplify (+ 0 1) into 1 4.943 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.943 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.943 * [taylor]: Taking taylor expansion of 1/2 in im 4.943 * [backup-simplify]: Simplify 1/2 into 1/2 4.943 * [taylor]: Taking taylor expansion of im in im 4.943 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 1 into 1 4.943 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.945 * [backup-simplify]: Simplify (+ 0 0) into 0 4.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.945 * [taylor]: Taking taylor expansion of 0 in im 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.947 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.947 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.947 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.947 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.947 * [taylor]: Taking taylor expansion of re in im 4.947 * [backup-simplify]: Simplify re into re 4.947 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.947 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.947 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.947 * [taylor]: Taking taylor expansion of im in im 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 1 into 1 4.948 * [backup-simplify]: Simplify (* 1 1) into 1 4.948 * [backup-simplify]: Simplify (/ 1 1) into 1 4.949 * [backup-simplify]: Simplify (+ 0 1) into 1 4.949 * [backup-simplify]: Simplify (sqrt 1) into 1 4.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.951 * [backup-simplify]: Simplify (+ 0 0) into 0 4.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.952 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.952 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.952 * [taylor]: Taking taylor expansion of re in re 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [backup-simplify]: Simplify (* 1 1) into 1 4.953 * [backup-simplify]: Simplify (/ 1 1) into 1 4.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.953 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.953 * [taylor]: Taking taylor expansion of im in re 4.953 * [backup-simplify]: Simplify im into im 4.953 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.953 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.954 * [backup-simplify]: Simplify (+ 1 0) into 1 4.954 * [backup-simplify]: Simplify (sqrt 1) into 1 4.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.956 * [backup-simplify]: Simplify (+ 0 0) into 0 4.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.956 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.956 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.956 * [taylor]: Taking taylor expansion of re in re 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [backup-simplify]: Simplify (* 1 1) into 1 4.958 * [backup-simplify]: Simplify (/ 1 1) into 1 4.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.958 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.958 * [taylor]: Taking taylor expansion of im in re 4.958 * [backup-simplify]: Simplify im into im 4.958 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.958 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.958 * [backup-simplify]: Simplify (+ 1 0) into 1 4.959 * [backup-simplify]: Simplify (sqrt 1) into 1 4.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.960 * [backup-simplify]: Simplify (+ 0 0) into 0 4.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.961 * [taylor]: Taking taylor expansion of 1 in im 4.961 * [backup-simplify]: Simplify 1 into 1 4.961 * [taylor]: Taking taylor expansion of 0 in im 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 1 into 1 4.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.964 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.965 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.965 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.965 * [taylor]: Taking taylor expansion of 1/2 in im 4.965 * [backup-simplify]: Simplify 1/2 into 1/2 4.965 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.965 * [taylor]: Taking taylor expansion of im in im 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify 1 into 1 4.965 * [backup-simplify]: Simplify (* 1 1) into 1 4.966 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.970 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.970 * [backup-simplify]: Simplify (+ 0 0) into 0 4.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.971 * [taylor]: Taking taylor expansion of 0 in im 4.971 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.974 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.974 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.974 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.974 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.974 * [taylor]: Taking taylor expansion of re in im 4.974 * [backup-simplify]: Simplify re into re 4.974 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.974 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.974 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.974 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.974 * [taylor]: Taking taylor expansion of im in im 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 1 into 1 4.975 * [backup-simplify]: Simplify (* 1 1) into 1 4.975 * [backup-simplify]: Simplify (/ 1 1) into 1 4.976 * [backup-simplify]: Simplify (+ 0 1) into 1 4.976 * [backup-simplify]: Simplify (sqrt 1) into 1 4.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.978 * [backup-simplify]: Simplify (+ 0 0) into 0 4.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.979 * [taylor]: Taking taylor expansion of re in re 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify (* 1 1) into 1 4.980 * [backup-simplify]: Simplify (/ 1 1) into 1 4.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.980 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.980 * [taylor]: Taking taylor expansion of im in re 4.980 * [backup-simplify]: Simplify im into im 4.980 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.980 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.980 * [backup-simplify]: Simplify (+ 1 0) into 1 4.981 * [backup-simplify]: Simplify (sqrt 1) into 1 4.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.982 * [backup-simplify]: Simplify (+ 0 0) into 0 4.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.983 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.983 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.983 * [taylor]: Taking taylor expansion of re in re 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify 1 into 1 4.983 * [backup-simplify]: Simplify (* 1 1) into 1 4.984 * [backup-simplify]: Simplify (/ 1 1) into 1 4.984 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.984 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.984 * [taylor]: Taking taylor expansion of im in re 4.984 * [backup-simplify]: Simplify im into im 4.984 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.984 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.985 * [backup-simplify]: Simplify (+ 1 0) into 1 4.985 * [backup-simplify]: Simplify (sqrt 1) into 1 4.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.986 * [backup-simplify]: Simplify (+ 0 0) into 0 4.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.987 * [taylor]: Taking taylor expansion of 1 in im 4.987 * [backup-simplify]: Simplify 1 into 1 4.987 * [taylor]: Taking taylor expansion of 0 in im 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify 1 into 1 4.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.989 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.990 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.990 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.990 * [taylor]: Taking taylor expansion of 1/2 in im 4.990 * [backup-simplify]: Simplify 1/2 into 1/2 4.990 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.990 * [taylor]: Taking taylor expansion of im in im 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (* 1 1) into 1 4.991 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.995 * [backup-simplify]: Simplify (+ 0 0) into 0 4.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.996 * [taylor]: Taking taylor expansion of 0 in im 4.996 * [backup-simplify]: Simplify 0 into 0 4.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.998 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1) 4.998 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 4.998 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 4.998 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.998 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.998 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.998 * [taylor]: Taking taylor expansion of im in im 4.998 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify 1 into 1 4.998 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.998 * [taylor]: Taking taylor expansion of re in im 4.998 * [backup-simplify]: Simplify re into re 4.998 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.998 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.998 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.998 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.999 * [backup-simplify]: Simplify (+ 0 0) into 0 4.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.999 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.999 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.999 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.999 * [taylor]: Taking taylor expansion of im in re 4.999 * [backup-simplify]: Simplify im into im 4.999 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.999 * [taylor]: Taking taylor expansion of re in re 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify 1 into 1 4.999 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.999 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.999 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.999 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.000 * [backup-simplify]: Simplify (+ 0 0) into 0 5.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.000 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.000 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.000 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.000 * [taylor]: Taking taylor expansion of im in re 5.000 * [backup-simplify]: Simplify im into im 5.000 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.000 * [taylor]: Taking taylor expansion of re in re 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.000 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.000 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.000 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.000 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.001 * [backup-simplify]: Simplify (+ 0 0) into 0 5.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.001 * [taylor]: Taking taylor expansion of im in im 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify 1 into 1 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [taylor]: Taking taylor expansion of 0 in im 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify 1 into 1 5.001 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.002 * [backup-simplify]: Simplify (* 1 1) into 1 5.002 * [backup-simplify]: Simplify (+ 0 1) into 1 5.003 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.003 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.003 * [taylor]: Taking taylor expansion of 1/2 in im 5.003 * [backup-simplify]: Simplify 1/2 into 1/2 5.003 * [taylor]: Taking taylor expansion of im in im 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.006 * [backup-simplify]: Simplify (+ 0 0) into 0 5.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.006 * [taylor]: Taking taylor expansion of 0 in im 5.006 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.007 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.007 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.007 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.007 * [taylor]: Taking taylor expansion of re in im 5.007 * [backup-simplify]: Simplify re into re 5.007 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.008 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.008 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.008 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.008 * [taylor]: Taking taylor expansion of im in im 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (* 1 1) into 1 5.008 * [backup-simplify]: Simplify (/ 1 1) into 1 5.009 * [backup-simplify]: Simplify (+ 0 1) into 1 5.009 * [backup-simplify]: Simplify (sqrt 1) into 1 5.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.011 * [backup-simplify]: Simplify (+ 0 0) into 0 5.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.012 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.012 * [taylor]: Taking taylor expansion of re in re 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.013 * [backup-simplify]: Simplify (* 1 1) into 1 5.013 * [backup-simplify]: Simplify (/ 1 1) into 1 5.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.013 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.013 * [taylor]: Taking taylor expansion of im in re 5.013 * [backup-simplify]: Simplify im into im 5.013 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.013 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.014 * [backup-simplify]: Simplify (+ 1 0) into 1 5.014 * [backup-simplify]: Simplify (sqrt 1) into 1 5.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.016 * [backup-simplify]: Simplify (+ 0 0) into 0 5.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.017 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.017 * [taylor]: Taking taylor expansion of re in re 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [backup-simplify]: Simplify 1 into 1 5.018 * [backup-simplify]: Simplify (* 1 1) into 1 5.018 * [backup-simplify]: Simplify (/ 1 1) into 1 5.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.018 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.018 * [taylor]: Taking taylor expansion of im in re 5.018 * [backup-simplify]: Simplify im into im 5.018 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.018 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.019 * [backup-simplify]: Simplify (+ 1 0) into 1 5.019 * [backup-simplify]: Simplify (sqrt 1) into 1 5.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.021 * [backup-simplify]: Simplify (+ 0 0) into 0 5.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.022 * [taylor]: Taking taylor expansion of 1 in im 5.022 * [backup-simplify]: Simplify 1 into 1 5.022 * [taylor]: Taking taylor expansion of 0 in im 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.024 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.025 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.026 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.026 * [taylor]: Taking taylor expansion of 1/2 in im 5.026 * [backup-simplify]: Simplify 1/2 into 1/2 5.026 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.026 * [taylor]: Taking taylor expansion of im in im 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 1 into 1 5.026 * [backup-simplify]: Simplify (* 1 1) into 1 5.027 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.031 * [backup-simplify]: Simplify (+ 0 0) into 0 5.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.031 * [taylor]: Taking taylor expansion of 0 in im 5.031 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.034 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.034 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.034 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.034 * [taylor]: Taking taylor expansion of re in im 5.034 * [backup-simplify]: Simplify re into re 5.034 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.034 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.034 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.034 * [taylor]: Taking taylor expansion of im in im 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (* 1 1) into 1 5.035 * [backup-simplify]: Simplify (/ 1 1) into 1 5.036 * [backup-simplify]: Simplify (+ 0 1) into 1 5.036 * [backup-simplify]: Simplify (sqrt 1) into 1 5.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.038 * [backup-simplify]: Simplify (+ 0 0) into 0 5.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.039 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.039 * [taylor]: Taking taylor expansion of re in re 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify 1 into 1 5.039 * [backup-simplify]: Simplify (* 1 1) into 1 5.039 * [backup-simplify]: Simplify (/ 1 1) into 1 5.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.040 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.040 * [taylor]: Taking taylor expansion of im in re 5.040 * [backup-simplify]: Simplify im into im 5.040 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.040 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.040 * [backup-simplify]: Simplify (+ 1 0) into 1 5.041 * [backup-simplify]: Simplify (sqrt 1) into 1 5.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (+ 0 0) into 0 5.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.043 * [taylor]: Taking taylor expansion of re in re 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.044 * [backup-simplify]: Simplify (* 1 1) into 1 5.044 * [backup-simplify]: Simplify (/ 1 1) into 1 5.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.044 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.044 * [taylor]: Taking taylor expansion of im in re 5.044 * [backup-simplify]: Simplify im into im 5.044 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.044 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.045 * [backup-simplify]: Simplify (+ 1 0) into 1 5.045 * [backup-simplify]: Simplify (sqrt 1) into 1 5.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.046 * [backup-simplify]: Simplify (+ 0 0) into 0 5.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.047 * [taylor]: Taking taylor expansion of 1 in im 5.047 * [backup-simplify]: Simplify 1 into 1 5.047 * [taylor]: Taking taylor expansion of 0 in im 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify 1 into 1 5.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.048 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.049 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.049 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.049 * [taylor]: Taking taylor expansion of 1/2 in im 5.049 * [backup-simplify]: Simplify 1/2 into 1/2 5.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.049 * [taylor]: Taking taylor expansion of im in im 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [backup-simplify]: Simplify (* 1 1) into 1 5.050 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.052 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.052 * [backup-simplify]: Simplify (+ 0 0) into 0 5.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.052 * [taylor]: Taking taylor expansion of 0 in im 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.054 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 5.054 * [backup-simplify]: Simplify (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 5.054 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 5.054 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 5.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.054 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.054 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.054 * [taylor]: Taking taylor expansion of im in im 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 1 into 1 5.054 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.054 * [taylor]: Taking taylor expansion of re in im 5.054 * [backup-simplify]: Simplify re into re 5.054 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.055 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.055 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.055 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.055 * [backup-simplify]: Simplify (+ 0 0) into 0 5.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.055 * [taylor]: Taking taylor expansion of re in im 5.055 * [backup-simplify]: Simplify re into re 5.055 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 5.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.055 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.055 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.055 * [taylor]: Taking taylor expansion of im in re 5.055 * [backup-simplify]: Simplify im into im 5.055 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.055 * [taylor]: Taking taylor expansion of re in re 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 1 into 1 5.055 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.055 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.055 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.056 * [backup-simplify]: Simplify (+ 0 0) into 0 5.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.056 * [taylor]: Taking taylor expansion of re in re 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 1 into 1 5.056 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 5.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.056 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.056 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.056 * [taylor]: Taking taylor expansion of im in re 5.056 * [backup-simplify]: Simplify im into im 5.056 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.056 * [taylor]: Taking taylor expansion of re in re 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 1 into 1 5.056 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.056 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.056 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.056 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.056 * [backup-simplify]: Simplify (+ 0 0) into 0 5.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.056 * [taylor]: Taking taylor expansion of re in re 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 1 into 1 5.057 * [backup-simplify]: Simplify (- 0) into 0 5.057 * [backup-simplify]: Simplify (+ im 0) into im 5.057 * [taylor]: Taking taylor expansion of im in im 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify 1 into 1 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify (- 1) into -1 5.057 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.057 * [taylor]: Taking taylor expansion of -1 in im 5.057 * [backup-simplify]: Simplify -1 into -1 5.057 * [backup-simplify]: Simplify -1 into -1 5.057 * [backup-simplify]: Simplify 1 into 1 5.058 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.058 * [backup-simplify]: Simplify (* 1 1) into 1 5.058 * [backup-simplify]: Simplify (+ 0 1) into 1 5.059 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.060 * [backup-simplify]: Simplify (- 0) into 0 5.060 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 5.060 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.060 * [taylor]: Taking taylor expansion of 1/2 in im 5.060 * [backup-simplify]: Simplify 1/2 into 1/2 5.060 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.060 * [taylor]: Taking taylor expansion of im in im 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (/ 1 1) into 1 5.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.063 * [backup-simplify]: Simplify (+ 0 0) into 0 5.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.063 * [backup-simplify]: Simplify (- 0) into 0 5.063 * [backup-simplify]: Simplify (+ 0 0) into 0 5.063 * [taylor]: Taking taylor expansion of 0 in im 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 5.065 * [backup-simplify]: Simplify (- (* (* (cbrt (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (cbrt (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (cbrt (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 5.065 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 5.065 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 5.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.065 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.065 * [taylor]: Taking taylor expansion of re in im 5.065 * [backup-simplify]: Simplify re into re 5.065 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.065 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.065 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.065 * [taylor]: Taking taylor expansion of im in im 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.069 * [backup-simplify]: Simplify (* 1 1) into 1 5.070 * [backup-simplify]: Simplify (/ 1 1) into 1 5.070 * [backup-simplify]: Simplify (+ 0 1) into 1 5.070 * [backup-simplify]: Simplify (sqrt 1) into 1 5.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.071 * [backup-simplify]: Simplify (+ 0 0) into 0 5.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.072 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.072 * [taylor]: Taking taylor expansion of re in im 5.072 * [backup-simplify]: Simplify re into re 5.072 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.072 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.072 * [taylor]: Taking taylor expansion of re in re 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.072 * [backup-simplify]: Simplify (* 1 1) into 1 5.073 * [backup-simplify]: Simplify (/ 1 1) into 1 5.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.073 * [taylor]: Taking taylor expansion of im in re 5.073 * [backup-simplify]: Simplify im into im 5.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.073 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.073 * [backup-simplify]: Simplify (+ 1 0) into 1 5.074 * [backup-simplify]: Simplify (sqrt 1) into 1 5.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.075 * [backup-simplify]: Simplify (+ 0 0) into 0 5.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.076 * [taylor]: Taking taylor expansion of re in re 5.076 * [backup-simplify]: Simplify 0 into 0 5.076 * [backup-simplify]: Simplify 1 into 1 5.076 * [backup-simplify]: Simplify (/ 1 1) into 1 5.076 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.077 * [taylor]: Taking taylor expansion of re in re 5.077 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify 1 into 1 5.077 * [backup-simplify]: Simplify (* 1 1) into 1 5.077 * [backup-simplify]: Simplify (/ 1 1) into 1 5.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.078 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.078 * [taylor]: Taking taylor expansion of im in re 5.078 * [backup-simplify]: Simplify im into im 5.078 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.078 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.078 * [backup-simplify]: Simplify (+ 1 0) into 1 5.079 * [backup-simplify]: Simplify (sqrt 1) into 1 5.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.080 * [backup-simplify]: Simplify (+ 0 0) into 0 5.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.081 * [taylor]: Taking taylor expansion of re in re 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 1 into 1 5.081 * [backup-simplify]: Simplify (/ 1 1) into 1 5.082 * [backup-simplify]: Simplify (- 1) into -1 5.082 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.082 * [taylor]: Taking taylor expansion of 0 in im 5.082 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (- 0) into 0 5.084 * [backup-simplify]: Simplify (+ 0 0) into 0 5.084 * [taylor]: Taking taylor expansion of 0 in im 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.086 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.087 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.088 * [backup-simplify]: Simplify (- 0) into 0 5.089 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.089 * [taylor]: Taking taylor expansion of 1/2 in im 5.089 * [backup-simplify]: Simplify 1/2 into 1/2 5.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.089 * [taylor]: Taking taylor expansion of im in im 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.089 * [backup-simplify]: Simplify (* 1 1) into 1 5.090 * [backup-simplify]: Simplify (/ 1 1) into 1 5.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.094 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.095 * [backup-simplify]: Simplify (+ 0 0) into 0 5.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.097 * [backup-simplify]: Simplify (- 0) into 0 5.097 * [backup-simplify]: Simplify (+ 0 0) into 0 5.097 * [taylor]: Taking taylor expansion of 0 in im 5.097 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify (- (* (* (cbrt (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (cbrt (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (cbrt (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 5.101 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 5.101 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.101 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.102 * [taylor]: Taking taylor expansion of re in im 5.102 * [backup-simplify]: Simplify re into re 5.102 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.102 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.102 * [taylor]: Taking taylor expansion of re in im 5.102 * [backup-simplify]: Simplify re into re 5.102 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.102 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.102 * [taylor]: Taking taylor expansion of im in im 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [backup-simplify]: Simplify (* 1 1) into 1 5.103 * [backup-simplify]: Simplify (/ 1 1) into 1 5.103 * [backup-simplify]: Simplify (+ 0 1) into 1 5.104 * [backup-simplify]: Simplify (sqrt 1) into 1 5.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.106 * [backup-simplify]: Simplify (+ 0 0) into 0 5.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.106 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.106 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.106 * [taylor]: Taking taylor expansion of re in re 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (/ 1 1) into 1 5.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.107 * [taylor]: Taking taylor expansion of re in re 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (* 1 1) into 1 5.108 * [backup-simplify]: Simplify (/ 1 1) into 1 5.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.108 * [taylor]: Taking taylor expansion of im in re 5.108 * [backup-simplify]: Simplify im into im 5.108 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.108 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.109 * [backup-simplify]: Simplify (+ 1 0) into 1 5.109 * [backup-simplify]: Simplify (sqrt 1) into 1 5.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.111 * [backup-simplify]: Simplify (+ 0 0) into 0 5.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.112 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.112 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.112 * [taylor]: Taking taylor expansion of re in re 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify (/ 1 1) into 1 5.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.112 * [taylor]: Taking taylor expansion of re in re 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.113 * [backup-simplify]: Simplify (* 1 1) into 1 5.113 * [backup-simplify]: Simplify (/ 1 1) into 1 5.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.113 * [taylor]: Taking taylor expansion of im in re 5.113 * [backup-simplify]: Simplify im into im 5.113 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.113 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.114 * [backup-simplify]: Simplify (+ 1 0) into 1 5.114 * [backup-simplify]: Simplify (sqrt 1) into 1 5.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.116 * [backup-simplify]: Simplify (+ 0 0) into 0 5.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.117 * [backup-simplify]: Simplify (+ 1 1) into 2 5.117 * [taylor]: Taking taylor expansion of 2 in im 5.117 * [backup-simplify]: Simplify 2 into 2 5.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.118 * [backup-simplify]: Simplify (+ 0 0) into 0 5.119 * [taylor]: Taking taylor expansion of 0 in im 5.119 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify 2 into 2 5.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.122 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.123 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.123 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.123 * [taylor]: Taking taylor expansion of 1/2 in im 5.123 * [backup-simplify]: Simplify 1/2 into 1/2 5.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.123 * [taylor]: Taking taylor expansion of im in im 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 1 into 1 5.124 * [backup-simplify]: Simplify (* 1 1) into 1 5.124 * [backup-simplify]: Simplify (/ 1 1) into 1 5.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.127 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.128 * [backup-simplify]: Simplify (+ 0 0) into 0 5.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.129 * [backup-simplify]: Simplify (+ 0 0) into 0 5.129 * [taylor]: Taking taylor expansion of 0 in im 5.129 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 5.131 * * * [progress]: simplifying candidates 5.131 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 11 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 5.131 * * * * [progress]: [ 16 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) re)))))> 5.132 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 20 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 32 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> 5.132 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 35 / 73 ] simplifiying candidate # 5.132 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 38 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 48 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> 5.133 * * * * [progress]: [ 49 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 5.133 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 60 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 61 / 73 ] simplifiying candidate #real (real->posit16 (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> 5.134 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 67 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 5.134 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 5.135 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))) (exp re)) (log (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (exp (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (* (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (* (* (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re) (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (sqrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (sqrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) (- (pow (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) 3) (pow re 3)) (+ (* (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))) (+ (* re re) (* (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re))) (- re) (- (* (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))) (* re re)) (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re) (- re) (real->posit16 (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 5.136 * * [simplify]: iteration 1: (69 enodes) 5.149 * * [simplify]: iteration 2: (157 enodes) 5.192 * * [simplify]: iteration 3: (351 enodes) 5.367 * * [simplify]: iteration 4: (894 enodes) 6.407 * * [simplify]: Extracting #0: cost 33 inf + 0 6.408 * * [simplify]: Extracting #1: cost 181 inf + 88 6.411 * * [simplify]: Extracting #2: cost 451 inf + 873 6.417 * * [simplify]: Extracting #3: cost 589 inf + 8893 6.430 * * [simplify]: Extracting #4: cost 499 inf + 35543 6.465 * * [simplify]: Extracting #5: cost 217 inf + 134351 6.528 * * [simplify]: Extracting #6: cost 33 inf + 222352 6.596 * * [simplify]: Extracting #7: cost 0 inf + 243389 6.650 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* 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) (* 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 (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* 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) (* 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 (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* 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) (* 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))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re))) (+ (* re (sqrt (+ (* re re) (* im im)))) (+ (+ (* re re) (* im im)) (* re re))) (- re) (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) im re (- re) im re (- re) im re (- re) (- im re) 0 (* -2 re) 6.679 * * * [progress]: adding candidates to table 7.934 * * [progress]: iteration 4 / 4 7.934 * * * [progress]: picking best candidate 7.958 * * * * [pick]: Picked # 7.958 * * * [progress]: localizing error 8.086 * * * [progress]: generating rewritten candidates 8.086 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1 1 1) 8.093 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 2 1 1 1) 8.104 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1 1 1 1) 8.115 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1 1 1) 8.124 * * * [progress]: generating series expansions 8.124 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1 1 1) 8.124 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 8.124 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 8.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.125 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.125 * [taylor]: Taking taylor expansion of im in im 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify 1 into 1 8.125 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.125 * [taylor]: Taking taylor expansion of re in im 8.125 * [backup-simplify]: Simplify re into re 8.125 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.125 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.125 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.125 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.125 * [backup-simplify]: Simplify (+ 0 0) into 0 8.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.125 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.126 * [taylor]: Taking taylor expansion of im in re 8.126 * [backup-simplify]: Simplify im into im 8.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.126 * [taylor]: Taking taylor expansion of re in re 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [backup-simplify]: Simplify 1 into 1 8.126 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.126 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.126 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.126 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.126 * [backup-simplify]: Simplify (+ 0 0) into 0 8.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.126 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.126 * [taylor]: Taking taylor expansion of im in re 8.126 * [backup-simplify]: Simplify im into im 8.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.126 * [taylor]: Taking taylor expansion of re in re 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [backup-simplify]: Simplify 1 into 1 8.126 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.126 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.126 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.127 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.127 * [backup-simplify]: Simplify (+ 0 0) into 0 8.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.127 * [taylor]: Taking taylor expansion of im in im 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify 1 into 1 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [taylor]: Taking taylor expansion of 0 in im 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify 1 into 1 8.127 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.128 * [backup-simplify]: Simplify (* 1 1) into 1 8.128 * [backup-simplify]: Simplify (+ 0 1) into 1 8.128 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.128 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.128 * [taylor]: Taking taylor expansion of 1/2 in im 8.128 * [backup-simplify]: Simplify 1/2 into 1/2 8.128 * [taylor]: Taking taylor expansion of im in im 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 1 into 1 8.129 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.129 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.130 * [backup-simplify]: Simplify (+ 0 0) into 0 8.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.131 * [taylor]: Taking taylor expansion of 0 in im 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.131 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.131 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.132 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.132 * [taylor]: Taking taylor expansion of re in im 8.132 * [backup-simplify]: Simplify re into re 8.132 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.132 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.132 * [taylor]: Taking taylor expansion of im in im 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify 1 into 1 8.132 * [backup-simplify]: Simplify (* 1 1) into 1 8.132 * [backup-simplify]: Simplify (/ 1 1) into 1 8.133 * [backup-simplify]: Simplify (+ 0 1) into 1 8.133 * [backup-simplify]: Simplify (sqrt 1) into 1 8.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.134 * [backup-simplify]: Simplify (+ 0 0) into 0 8.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.134 * [taylor]: Taking taylor expansion of re in re 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 1 into 1 8.135 * [backup-simplify]: Simplify (* 1 1) into 1 8.135 * [backup-simplify]: Simplify (/ 1 1) into 1 8.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.135 * [taylor]: Taking taylor expansion of im in re 8.135 * [backup-simplify]: Simplify im into im 8.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.135 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.135 * [backup-simplify]: Simplify (+ 1 0) into 1 8.136 * [backup-simplify]: Simplify (sqrt 1) into 1 8.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.137 * [backup-simplify]: Simplify (+ 0 0) into 0 8.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.137 * [taylor]: Taking taylor expansion of re in re 8.137 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify 1 into 1 8.137 * [backup-simplify]: Simplify (* 1 1) into 1 8.138 * [backup-simplify]: Simplify (/ 1 1) into 1 8.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.138 * [taylor]: Taking taylor expansion of im in re 8.138 * [backup-simplify]: Simplify im into im 8.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.138 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.138 * [backup-simplify]: Simplify (+ 1 0) into 1 8.138 * [backup-simplify]: Simplify (sqrt 1) into 1 8.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.139 * [backup-simplify]: Simplify (+ 0 0) into 0 8.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.140 * [taylor]: Taking taylor expansion of 1 in im 8.140 * [backup-simplify]: Simplify 1 into 1 8.140 * [taylor]: Taking taylor expansion of 0 in im 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.141 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.142 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.142 * [taylor]: Taking taylor expansion of 1/2 in im 8.142 * [backup-simplify]: Simplify 1/2 into 1/2 8.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.142 * [taylor]: Taking taylor expansion of im in im 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.142 * [backup-simplify]: Simplify (* 1 1) into 1 8.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.143 * [backup-simplify]: Simplify 0 into 0 8.144 * [backup-simplify]: Simplify 0 into 0 8.144 * [backup-simplify]: Simplify 0 into 0 8.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.145 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.145 * [backup-simplify]: Simplify (+ 0 0) into 0 8.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.145 * [taylor]: Taking taylor expansion of 0 in im 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.147 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.147 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.147 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.147 * [taylor]: Taking taylor expansion of re in im 8.147 * [backup-simplify]: Simplify re into re 8.147 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.147 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.147 * [taylor]: Taking taylor expansion of im in im 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 1 into 1 8.147 * [backup-simplify]: Simplify (* 1 1) into 1 8.148 * [backup-simplify]: Simplify (/ 1 1) into 1 8.148 * [backup-simplify]: Simplify (+ 0 1) into 1 8.148 * [backup-simplify]: Simplify (sqrt 1) into 1 8.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.149 * [backup-simplify]: Simplify (+ 0 0) into 0 8.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.150 * [taylor]: Taking taylor expansion of re in re 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.150 * [backup-simplify]: Simplify (* 1 1) into 1 8.150 * [backup-simplify]: Simplify (/ 1 1) into 1 8.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.150 * [taylor]: Taking taylor expansion of im in re 8.150 * [backup-simplify]: Simplify im into im 8.150 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.150 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.151 * [backup-simplify]: Simplify (+ 1 0) into 1 8.151 * [backup-simplify]: Simplify (sqrt 1) into 1 8.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.152 * [backup-simplify]: Simplify (+ 0 0) into 0 8.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.153 * [taylor]: Taking taylor expansion of re in re 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 1 into 1 8.153 * [backup-simplify]: Simplify (* 1 1) into 1 8.153 * [backup-simplify]: Simplify (/ 1 1) into 1 8.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.153 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.153 * [taylor]: Taking taylor expansion of im in re 8.153 * [backup-simplify]: Simplify im into im 8.153 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.153 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.153 * [backup-simplify]: Simplify (+ 1 0) into 1 8.154 * [backup-simplify]: Simplify (sqrt 1) into 1 8.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.155 * [backup-simplify]: Simplify (+ 0 0) into 0 8.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.155 * [taylor]: Taking taylor expansion of 1 in im 8.155 * [backup-simplify]: Simplify 1 into 1 8.155 * [taylor]: Taking taylor expansion of 0 in im 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify 1 into 1 8.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.156 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.157 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.157 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.157 * [taylor]: Taking taylor expansion of 1/2 in im 8.157 * [backup-simplify]: Simplify 1/2 into 1/2 8.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.157 * [taylor]: Taking taylor expansion of im in im 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 1 into 1 8.158 * [backup-simplify]: Simplify (* 1 1) into 1 8.158 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.160 * [backup-simplify]: Simplify (+ 0 0) into 0 8.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.161 * [taylor]: Taking taylor expansion of 0 in im 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.162 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 2 1 1 1) 8.162 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 8.162 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 8.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.162 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.162 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.162 * [taylor]: Taking taylor expansion of im in im 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 1 into 1 8.162 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.162 * [taylor]: Taking taylor expansion of re in im 8.162 * [backup-simplify]: Simplify re into re 8.162 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.162 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.163 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.163 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.163 * [backup-simplify]: Simplify (+ 0 0) into 0 8.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.163 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.163 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.163 * [taylor]: Taking taylor expansion of im in re 8.163 * [backup-simplify]: Simplify im into im 8.163 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.163 * [taylor]: Taking taylor expansion of re in re 8.163 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify 1 into 1 8.163 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.163 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.163 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.163 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.163 * [backup-simplify]: Simplify (+ 0 0) into 0 8.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.164 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.164 * [taylor]: Taking taylor expansion of im in re 8.164 * [backup-simplify]: Simplify im into im 8.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.164 * [taylor]: Taking taylor expansion of re in re 8.164 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify 1 into 1 8.164 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.164 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.164 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.164 * [backup-simplify]: Simplify (+ 0 0) into 0 8.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.164 * [taylor]: Taking taylor expansion of im in im 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify 1 into 1 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [taylor]: Taking taylor expansion of 0 in im 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify 1 into 1 8.165 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.165 * [backup-simplify]: Simplify (* 1 1) into 1 8.165 * [backup-simplify]: Simplify (+ 0 1) into 1 8.166 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.166 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.166 * [taylor]: Taking taylor expansion of 1/2 in im 8.166 * [backup-simplify]: Simplify 1/2 into 1/2 8.166 * [taylor]: Taking taylor expansion of im in im 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.168 * [backup-simplify]: Simplify (+ 0 0) into 0 8.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.168 * [taylor]: Taking taylor expansion of 0 in im 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.169 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.169 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.169 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.169 * [taylor]: Taking taylor expansion of re in im 8.169 * [backup-simplify]: Simplify re into re 8.169 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.169 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.169 * [taylor]: Taking taylor expansion of im in im 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 1 into 1 8.170 * [backup-simplify]: Simplify (* 1 1) into 1 8.170 * [backup-simplify]: Simplify (/ 1 1) into 1 8.170 * [backup-simplify]: Simplify (+ 0 1) into 1 8.170 * [backup-simplify]: Simplify (sqrt 1) into 1 8.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.171 * [backup-simplify]: Simplify (+ 0 0) into 0 8.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.172 * [taylor]: Taking taylor expansion of re in re 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify 1 into 1 8.172 * [backup-simplify]: Simplify (* 1 1) into 1 8.172 * [backup-simplify]: Simplify (/ 1 1) into 1 8.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.172 * [taylor]: Taking taylor expansion of im in re 8.172 * [backup-simplify]: Simplify im into im 8.172 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.173 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.173 * [backup-simplify]: Simplify (+ 1 0) into 1 8.173 * [backup-simplify]: Simplify (sqrt 1) into 1 8.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (+ 0 0) into 0 8.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.175 * [taylor]: Taking taylor expansion of re in re 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify 1 into 1 8.175 * [backup-simplify]: Simplify (* 1 1) into 1 8.175 * [backup-simplify]: Simplify (/ 1 1) into 1 8.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.175 * [taylor]: Taking taylor expansion of im in re 8.175 * [backup-simplify]: Simplify im into im 8.175 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.175 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.176 * [backup-simplify]: Simplify (+ 1 0) into 1 8.176 * [backup-simplify]: Simplify (sqrt 1) into 1 8.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (+ 0 0) into 0 8.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.177 * [taylor]: Taking taylor expansion of 1 in im 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [taylor]: Taking taylor expansion of 0 in im 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.179 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.179 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.179 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.179 * [taylor]: Taking taylor expansion of 1/2 in im 8.179 * [backup-simplify]: Simplify 1/2 into 1/2 8.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.179 * [taylor]: Taking taylor expansion of im in im 8.179 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify (* 1 1) into 1 8.180 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.183 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.184 * [backup-simplify]: Simplify (+ 0 0) into 0 8.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.184 * [taylor]: Taking taylor expansion of 0 in im 8.184 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.187 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.187 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.187 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.187 * [taylor]: Taking taylor expansion of re in im 8.187 * [backup-simplify]: Simplify re into re 8.187 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.187 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.188 * [taylor]: Taking taylor expansion of im in im 8.188 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify 1 into 1 8.188 * [backup-simplify]: Simplify (* 1 1) into 1 8.188 * [backup-simplify]: Simplify (/ 1 1) into 1 8.189 * [backup-simplify]: Simplify (+ 0 1) into 1 8.189 * [backup-simplify]: Simplify (sqrt 1) into 1 8.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.191 * [backup-simplify]: Simplify (+ 0 0) into 0 8.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.192 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.192 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.192 * [taylor]: Taking taylor expansion of re in re 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 1 into 1 8.192 * [backup-simplify]: Simplify (* 1 1) into 1 8.193 * [backup-simplify]: Simplify (/ 1 1) into 1 8.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.193 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.193 * [taylor]: Taking taylor expansion of im in re 8.193 * [backup-simplify]: Simplify im into im 8.193 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.193 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.194 * [backup-simplify]: Simplify (+ 1 0) into 1 8.194 * [backup-simplify]: Simplify (sqrt 1) into 1 8.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ 0 0) into 0 8.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.197 * [taylor]: Taking taylor expansion of re in re 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify 1 into 1 8.197 * [backup-simplify]: Simplify (* 1 1) into 1 8.198 * [backup-simplify]: Simplify (/ 1 1) into 1 8.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.198 * [taylor]: Taking taylor expansion of im in re 8.198 * [backup-simplify]: Simplify im into im 8.198 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.198 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.199 * [backup-simplify]: Simplify (+ 1 0) into 1 8.199 * [backup-simplify]: Simplify (sqrt 1) into 1 8.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.201 * [backup-simplify]: Simplify (+ 0 0) into 0 8.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.202 * [taylor]: Taking taylor expansion of 1 in im 8.202 * [backup-simplify]: Simplify 1 into 1 8.202 * [taylor]: Taking taylor expansion of 0 in im 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 1 into 1 8.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.204 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.205 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.205 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.205 * [taylor]: Taking taylor expansion of 1/2 in im 8.205 * [backup-simplify]: Simplify 1/2 into 1/2 8.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.205 * [taylor]: Taking taylor expansion of im in im 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.206 * [backup-simplify]: Simplify (* 1 1) into 1 8.206 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.210 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.211 * [backup-simplify]: Simplify (+ 0 0) into 0 8.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.211 * [taylor]: Taking taylor expansion of 0 in im 8.211 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.214 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1 1 1 1 1 1 1) 8.214 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 8.214 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 8.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.214 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.214 * [taylor]: Taking taylor expansion of im in im 8.214 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify 1 into 1 8.214 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.214 * [taylor]: Taking taylor expansion of re in im 8.214 * [backup-simplify]: Simplify re into re 8.214 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.214 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.215 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.215 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.215 * [backup-simplify]: Simplify (+ 0 0) into 0 8.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.215 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.215 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.215 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.215 * [taylor]: Taking taylor expansion of im in re 8.215 * [backup-simplify]: Simplify im into im 8.215 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.215 * [taylor]: Taking taylor expansion of re in re 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.216 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.216 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.216 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.216 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.216 * [backup-simplify]: Simplify (+ 0 0) into 0 8.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.216 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.216 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.216 * [taylor]: Taking taylor expansion of im in re 8.216 * [backup-simplify]: Simplify im into im 8.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.217 * [taylor]: Taking taylor expansion of re in re 8.217 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify 1 into 1 8.217 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.217 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.217 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.217 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.217 * [backup-simplify]: Simplify (+ 0 0) into 0 8.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.218 * [taylor]: Taking taylor expansion of im in im 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify 1 into 1 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [taylor]: Taking taylor expansion of 0 in im 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify 1 into 1 8.218 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.219 * [backup-simplify]: Simplify (* 1 1) into 1 8.219 * [backup-simplify]: Simplify (+ 0 1) into 1 8.220 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.220 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.220 * [taylor]: Taking taylor expansion of 1/2 in im 8.220 * [backup-simplify]: Simplify 1/2 into 1/2 8.220 * [taylor]: Taking taylor expansion of im in im 8.220 * [backup-simplify]: Simplify 0 into 0 8.220 * [backup-simplify]: Simplify 1 into 1 8.220 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.221 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.228 * [backup-simplify]: Simplify (+ 0 0) into 0 8.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.228 * [taylor]: Taking taylor expansion of 0 in im 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.230 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.230 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.230 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.230 * [taylor]: Taking taylor expansion of re in im 8.230 * [backup-simplify]: Simplify re into re 8.230 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.230 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.230 * [taylor]: Taking taylor expansion of im in im 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 1 into 1 8.231 * [backup-simplify]: Simplify (* 1 1) into 1 8.231 * [backup-simplify]: Simplify (/ 1 1) into 1 8.232 * [backup-simplify]: Simplify (+ 0 1) into 1 8.232 * [backup-simplify]: Simplify (sqrt 1) into 1 8.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.234 * [backup-simplify]: Simplify (+ 0 0) into 0 8.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.235 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.235 * [taylor]: Taking taylor expansion of re in re 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 1 into 1 8.235 * [backup-simplify]: Simplify (* 1 1) into 1 8.235 * [backup-simplify]: Simplify (/ 1 1) into 1 8.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.236 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.236 * [taylor]: Taking taylor expansion of im in re 8.236 * [backup-simplify]: Simplify im into im 8.236 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.236 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.236 * [backup-simplify]: Simplify (+ 1 0) into 1 8.237 * [backup-simplify]: Simplify (sqrt 1) into 1 8.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.238 * [backup-simplify]: Simplify (+ 0 0) into 0 8.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.239 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.239 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.239 * [taylor]: Taking taylor expansion of re in re 8.239 * [backup-simplify]: Simplify 0 into 0 8.239 * [backup-simplify]: Simplify 1 into 1 8.240 * [backup-simplify]: Simplify (* 1 1) into 1 8.240 * [backup-simplify]: Simplify (/ 1 1) into 1 8.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.240 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.240 * [taylor]: Taking taylor expansion of im in re 8.240 * [backup-simplify]: Simplify im into im 8.240 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.240 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.241 * [backup-simplify]: Simplify (+ 1 0) into 1 8.241 * [backup-simplify]: Simplify (sqrt 1) into 1 8.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.243 * [backup-simplify]: Simplify (+ 0 0) into 0 8.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.244 * [taylor]: Taking taylor expansion of 1 in im 8.244 * [backup-simplify]: Simplify 1 into 1 8.244 * [taylor]: Taking taylor expansion of 0 in im 8.244 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify 1 into 1 8.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.246 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.247 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.247 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.247 * [taylor]: Taking taylor expansion of 1/2 in im 8.247 * [backup-simplify]: Simplify 1/2 into 1/2 8.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.247 * [taylor]: Taking taylor expansion of im in im 8.248 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify 1 into 1 8.248 * [backup-simplify]: Simplify (* 1 1) into 1 8.248 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.250 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.253 * [backup-simplify]: Simplify (+ 0 0) into 0 8.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.254 * [taylor]: Taking taylor expansion of 0 in im 8.254 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.257 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.257 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.257 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.257 * [taylor]: Taking taylor expansion of re in im 8.257 * [backup-simplify]: Simplify re into re 8.257 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.257 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.257 * [taylor]: Taking taylor expansion of im in im 8.257 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 1 into 1 8.258 * [backup-simplify]: Simplify (* 1 1) into 1 8.258 * [backup-simplify]: Simplify (/ 1 1) into 1 8.258 * [backup-simplify]: Simplify (+ 0 1) into 1 8.259 * [backup-simplify]: Simplify (sqrt 1) into 1 8.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.260 * [backup-simplify]: Simplify (+ 0 0) into 0 8.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.261 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.261 * [taylor]: Taking taylor expansion of re in re 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify 1 into 1 8.262 * [backup-simplify]: Simplify (* 1 1) into 1 8.262 * [backup-simplify]: Simplify (/ 1 1) into 1 8.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.262 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.262 * [taylor]: Taking taylor expansion of im in re 8.262 * [backup-simplify]: Simplify im into im 8.262 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.263 * [backup-simplify]: Simplify (+ 1 0) into 1 8.263 * [backup-simplify]: Simplify (sqrt 1) into 1 8.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.265 * [backup-simplify]: Simplify (+ 0 0) into 0 8.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.266 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.266 * [taylor]: Taking taylor expansion of re in re 8.266 * [backup-simplify]: Simplify 0 into 0 8.266 * [backup-simplify]: Simplify 1 into 1 8.267 * [backup-simplify]: Simplify (* 1 1) into 1 8.267 * [backup-simplify]: Simplify (/ 1 1) into 1 8.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.267 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.267 * [taylor]: Taking taylor expansion of im in re 8.267 * [backup-simplify]: Simplify im into im 8.267 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.268 * [backup-simplify]: Simplify (+ 1 0) into 1 8.268 * [backup-simplify]: Simplify (sqrt 1) into 1 8.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.270 * [backup-simplify]: Simplify (+ 0 0) into 0 8.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.271 * [taylor]: Taking taylor expansion of 1 in im 8.271 * [backup-simplify]: Simplify 1 into 1 8.271 * [taylor]: Taking taylor expansion of 0 in im 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify 1 into 1 8.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.273 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.275 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.275 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.275 * [taylor]: Taking taylor expansion of 1/2 in im 8.275 * [backup-simplify]: Simplify 1/2 into 1/2 8.275 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.275 * [taylor]: Taking taylor expansion of im in im 8.275 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify 1 into 1 8.275 * [backup-simplify]: Simplify (* 1 1) into 1 8.276 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.277 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.280 * [backup-simplify]: Simplify (+ 0 0) into 0 8.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.281 * [taylor]: Taking taylor expansion of 0 in im 8.281 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.283 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1 1 1) 8.283 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 8.284 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 8.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.284 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.284 * [taylor]: Taking taylor expansion of im in im 8.284 * [backup-simplify]: Simplify 0 into 0 8.284 * [backup-simplify]: Simplify 1 into 1 8.284 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.284 * [taylor]: Taking taylor expansion of re in im 8.284 * [backup-simplify]: Simplify re into re 8.284 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.284 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.284 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.284 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.285 * [backup-simplify]: Simplify (+ 0 0) into 0 8.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.285 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.285 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.285 * [taylor]: Taking taylor expansion of im in re 8.285 * [backup-simplify]: Simplify im into im 8.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.285 * [taylor]: Taking taylor expansion of re in re 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.285 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.285 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.285 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.285 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.285 * [backup-simplify]: Simplify (+ 0 0) into 0 8.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.285 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.286 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.286 * [taylor]: Taking taylor expansion of im in re 8.286 * [backup-simplify]: Simplify im into im 8.286 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.286 * [taylor]: Taking taylor expansion of re in re 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 1 into 1 8.286 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.286 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.286 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.286 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.286 * [backup-simplify]: Simplify (+ 0 0) into 0 8.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.286 * [taylor]: Taking taylor expansion of im in im 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 1 into 1 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [taylor]: Taking taylor expansion of 0 in im 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 1 into 1 8.287 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.287 * [backup-simplify]: Simplify (* 1 1) into 1 8.288 * [backup-simplify]: Simplify (+ 0 1) into 1 8.288 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.288 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.288 * [taylor]: Taking taylor expansion of 1/2 in im 8.288 * [backup-simplify]: Simplify 1/2 into 1/2 8.288 * [taylor]: Taking taylor expansion of im in im 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.288 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.290 * [backup-simplify]: Simplify (+ 0 0) into 0 8.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.290 * [taylor]: Taking taylor expansion of 0 in im 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.291 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.291 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.291 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.291 * [taylor]: Taking taylor expansion of re in im 8.291 * [backup-simplify]: Simplify re into re 8.291 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.291 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.292 * [taylor]: Taking taylor expansion of im in im 8.292 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify 1 into 1 8.292 * [backup-simplify]: Simplify (* 1 1) into 1 8.292 * [backup-simplify]: Simplify (/ 1 1) into 1 8.292 * [backup-simplify]: Simplify (+ 0 1) into 1 8.293 * [backup-simplify]: Simplify (sqrt 1) into 1 8.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.294 * [backup-simplify]: Simplify (+ 0 0) into 0 8.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.294 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.294 * [taylor]: Taking taylor expansion of re in re 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (* 1 1) into 1 8.295 * [backup-simplify]: Simplify (/ 1 1) into 1 8.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.295 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.295 * [taylor]: Taking taylor expansion of im in re 8.295 * [backup-simplify]: Simplify im into im 8.295 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.295 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.295 * [backup-simplify]: Simplify (+ 1 0) into 1 8.295 * [backup-simplify]: Simplify (sqrt 1) into 1 8.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.296 * [backup-simplify]: Simplify (+ 0 0) into 0 8.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.297 * [taylor]: Taking taylor expansion of re in re 8.297 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify 1 into 1 8.297 * [backup-simplify]: Simplify (* 1 1) into 1 8.297 * [backup-simplify]: Simplify (/ 1 1) into 1 8.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.297 * [taylor]: Taking taylor expansion of im in re 8.297 * [backup-simplify]: Simplify im into im 8.298 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.298 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.298 * [backup-simplify]: Simplify (+ 1 0) into 1 8.298 * [backup-simplify]: Simplify (sqrt 1) into 1 8.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.299 * [backup-simplify]: Simplify (+ 0 0) into 0 8.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.300 * [taylor]: Taking taylor expansion of 1 in im 8.300 * [backup-simplify]: Simplify 1 into 1 8.300 * [taylor]: Taking taylor expansion of 0 in im 8.300 * [backup-simplify]: Simplify 0 into 0 8.300 * [backup-simplify]: Simplify 1 into 1 8.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.302 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.302 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.302 * [taylor]: Taking taylor expansion of 1/2 in im 8.302 * [backup-simplify]: Simplify 1/2 into 1/2 8.302 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.302 * [taylor]: Taking taylor expansion of im in im 8.302 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify 1 into 1 8.302 * [backup-simplify]: Simplify (* 1 1) into 1 8.302 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.305 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.305 * [backup-simplify]: Simplify (+ 0 0) into 0 8.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.305 * [taylor]: Taking taylor expansion of 0 in im 8.305 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.307 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.307 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.307 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.307 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.307 * [taylor]: Taking taylor expansion of re in im 8.307 * [backup-simplify]: Simplify re into re 8.307 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.307 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.307 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.307 * [taylor]: Taking taylor expansion of im in im 8.307 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify 1 into 1 8.307 * [backup-simplify]: Simplify (* 1 1) into 1 8.308 * [backup-simplify]: Simplify (/ 1 1) into 1 8.308 * [backup-simplify]: Simplify (+ 0 1) into 1 8.308 * [backup-simplify]: Simplify (sqrt 1) into 1 8.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.309 * [backup-simplify]: Simplify (+ 0 0) into 0 8.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.310 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.310 * [taylor]: Taking taylor expansion of re in re 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 1 into 1 8.310 * [backup-simplify]: Simplify (* 1 1) into 1 8.310 * [backup-simplify]: Simplify (/ 1 1) into 1 8.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.310 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.310 * [taylor]: Taking taylor expansion of im in re 8.310 * [backup-simplify]: Simplify im into im 8.310 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.310 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.311 * [backup-simplify]: Simplify (+ 1 0) into 1 8.311 * [backup-simplify]: Simplify (sqrt 1) into 1 8.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.312 * [backup-simplify]: Simplify (+ 0 0) into 0 8.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.312 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.312 * [taylor]: Taking taylor expansion of re in re 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (* 1 1) into 1 8.313 * [backup-simplify]: Simplify (/ 1 1) into 1 8.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.313 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.313 * [taylor]: Taking taylor expansion of im in re 8.313 * [backup-simplify]: Simplify im into im 8.313 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.313 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.314 * [backup-simplify]: Simplify (+ 1 0) into 1 8.314 * [backup-simplify]: Simplify (sqrt 1) into 1 8.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.316 * [backup-simplify]: Simplify (+ 0 0) into 0 8.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.317 * [taylor]: Taking taylor expansion of 1 in im 8.317 * [backup-simplify]: Simplify 1 into 1 8.317 * [taylor]: Taking taylor expansion of 0 in im 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 1 into 1 8.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.320 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.321 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.321 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.321 * [taylor]: Taking taylor expansion of 1/2 in im 8.321 * [backup-simplify]: Simplify 1/2 into 1/2 8.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.321 * [taylor]: Taking taylor expansion of im in im 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify 1 into 1 8.322 * [backup-simplify]: Simplify (* 1 1) into 1 8.322 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.326 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.327 * [backup-simplify]: Simplify (+ 0 0) into 0 8.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.328 * [taylor]: Taking taylor expansion of 0 in im 8.328 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.330 * * * [progress]: simplifying candidates 8.330 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 8.330 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 8.330 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 8.331 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 8.331 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 8.331 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 8.331 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 8.331 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 8.331 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 8.331 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 8.331 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 8.331 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 8.332 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 8.332 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 8.332 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 8.332 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) re)))))))> 8.332 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 8.332 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 8.332 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 8.332 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 8.332 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> 8.333 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 8.333 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> 8.334 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 8.334 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) re))) (cbrt (- (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))))> 8.335 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 8.335 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 8.336 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 8.336 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 8.336 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 8.336 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 8.336 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 8.336 * [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) 8.337 * * [simplify]: iteration 1: (39 enodes) 8.345 * * [simplify]: iteration 2: (90 enodes) 8.367 * * [simplify]: iteration 3: (194 enodes) 8.414 * * [simplify]: iteration 4: (435 enodes) 8.612 * * [simplify]: iteration 5: (989 enodes) 9.249 * * [simplify]: Extracting #0: cost 19 inf + 0 9.249 * * [simplify]: Extracting #1: cost 27 inf + 4 9.250 * * [simplify]: Extracting #2: cost 181 inf + 47 9.255 * * [simplify]: Extracting #3: cost 534 inf + 8143 9.277 * * [simplify]: Extracting #4: cost 400 inf + 58679 9.328 * * [simplify]: Extracting #5: cost 60 inf + 137361 9.363 * * [simplify]: Extracting #6: cost 20 inf + 154231 9.406 * * [simplify]: Extracting #7: cost 6 inf + 160400 9.451 * * [simplify]: Extracting #8: cost 0 inf + 164091 9.499 * [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) (- (* re re) (* 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) (- (* re re) (* 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) (- (* re re) (* 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) (- (* re re) (* 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) 9.525 * * * [progress]: adding candidates to table 11.471 * [progress]: [Phase 3 of 3] Extracting. 11.471 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 11.474 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 11.474 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 11.554 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 11.630 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 11.733 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 11.826 * * * [regime]: Found split indices: #